From d6ae3b22054661c1c1aa267f71487d6533cfe6b4 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Tue, 31 Dec 2024 20:10:40 +0000 Subject: [PATCH] build based on a119207 --- stable | 2 +- v0.16 | 2 +- v0.16.1/.documenter-siteinfo.json | 1 + v0.16.1/HOWTOshowmodelandoutput/index.html | 2 + v0.16.1/HOWTOsmallnegativevalues/index.html | 2 + v0.16.1/MathematicalFormulation/index.html | 2 + v0.16.1/PALEOmodelOutput/index.html | 26 + v0.16.1/PALEOmodelSolvers/index.html | 120 ++ v0.16.1/References/index.html | 2 + v0.16.1/assets/documenter.js | 1082 +++++++++++++++++ v0.16.1/assets/themes/catppuccin-frappe.css | 1 + v0.16.1/assets/themes/catppuccin-latte.css | 1 + .../assets/themes/catppuccin-macchiato.css | 1 + v0.16.1/assets/themes/catppuccin-mocha.css | 1 + v0.16.1/assets/themes/documenter-dark.css | 7 + v0.16.1/assets/themes/documenter-light.css | 9 + v0.16.1/assets/themeswap.js | 84 ++ v0.16.1/assets/warner.js | 52 + v0.16.1/index.html | 2 + v0.16.1/indexpage/index.html | 2 + v0.16.1/objects.inv | Bin 0 -> 2402 bytes v0.16.1/paleo_references.bib | 27 + v0.16.1/search_index.js | 3 + v0.16.1/siteinfo.js | 1 + versions.js | 2 +- 25 files changed, 1431 insertions(+), 3 deletions(-) create mode 100644 v0.16.1/.documenter-siteinfo.json create mode 100644 v0.16.1/HOWTOshowmodelandoutput/index.html create mode 100644 v0.16.1/HOWTOsmallnegativevalues/index.html create mode 100644 v0.16.1/MathematicalFormulation/index.html create mode 100644 v0.16.1/PALEOmodelOutput/index.html create mode 100644 v0.16.1/PALEOmodelSolvers/index.html create mode 100644 v0.16.1/References/index.html create mode 100644 v0.16.1/assets/documenter.js create mode 100644 v0.16.1/assets/themes/catppuccin-frappe.css create mode 100644 v0.16.1/assets/themes/catppuccin-latte.css create mode 100644 v0.16.1/assets/themes/catppuccin-macchiato.css create mode 100644 v0.16.1/assets/themes/catppuccin-mocha.css create mode 100644 v0.16.1/assets/themes/documenter-dark.css create mode 100644 v0.16.1/assets/themes/documenter-light.css create mode 100644 v0.16.1/assets/themeswap.js create mode 100644 v0.16.1/assets/warner.js create mode 100644 v0.16.1/index.html create mode 100644 v0.16.1/indexpage/index.html create mode 100644 v0.16.1/objects.inv create mode 100644 v0.16.1/paleo_references.bib create mode 100644 v0.16.1/search_index.js create mode 100644 v0.16.1/siteinfo.js diff --git a/stable b/stable index 49dd460..23fed31 120000 --- a/stable +++ b/stable @@ -1 +1 @@ -v0.16.0 \ No newline at end of file +v0.16.1 \ No newline at end of file diff --git a/v0.16 b/v0.16 index 49dd460..23fed31 120000 --- a/v0.16 +++ b/v0.16 @@ -1 +1 @@ -v0.16.0 \ No newline at end of file +v0.16.1 \ No newline at end of file diff --git a/v0.16.1/.documenter-siteinfo.json b/v0.16.1/.documenter-siteinfo.json new file mode 100644 index 0000000..c8b133a --- /dev/null +++ b/v0.16.1/.documenter-siteinfo.json @@ -0,0 +1 @@ +{"documenter":{"julia_version":"1.6.7","generation_timestamp":"2024-12-31T20:10:33","documenter_version":"1.8.0"}} \ No newline at end of file diff --git a/v0.16.1/HOWTOshowmodelandoutput/index.html b/v0.16.1/HOWTOshowmodelandoutput/index.html new file mode 100644 index 0000000..0080813 --- /dev/null +++ b/v0.16.1/HOWTOshowmodelandoutput/index.html @@ -0,0 +1,2 @@ + +Displaying model configuration and output from the Julia REPL · PALEOmodel Documentation
GitHub
diff --git a/v0.16.1/HOWTOsmallnegativevalues/index.html b/v0.16.1/HOWTOsmallnegativevalues/index.html new file mode 100644 index 0000000..d27d962 --- /dev/null +++ b/v0.16.1/HOWTOsmallnegativevalues/index.html @@ -0,0 +1,2 @@ + +Managing small and negative values · PALEOmodel Documentation
GitHub

Managing small and negative values

It is common for biogeochemical reservoirs to both (i) be required to be non-negative, and (ii) approach zero (eg oxygen below the oxic layer in a sediment). This requires some explicit management to allow the numerical ODE / DAE solvers to operate stably and efficiently.

PALEO follows the recommended best practice for Sundials CVODE and other adaptive solvers (also including those in MATLAB), which is to allow -ve values within the error tolerance, and set rates to zero when this happens.

This is a FAQ for CVODE, https://computing.llnl.gov/projects/sundials/faq#cvode_negvals, '... Remember that a small negative value in y returned by CVODE, with magnitude comparable to abstol or less, is equivalent to zero as far as the computation is concerned. .... '. See (Shampine et al., 2005) for a detailed discussion.

There are three areas that need to be addressed:

  1. When calculating biogeochemical reaction rates that depend on myvar, use max(myvar, 0.0) or similar everywhere to set rates to zero for -ve values. Linear transport processes (eg diffusion, flux transport) should transport -ve values to maintain conservation properties.
  2. Set the abstol solver option to control errors for near-zero values of state Variables, see DifferentialEquations solvers. The default value will often be too high. In some cases, it may be most efficient to tolerate -ve values, in other cases, it may be most efficient to control errors using a combination of reltol and abstol so that -ve values are not generated. The easiest way to set abstol in PALEO is to use abstol=1e-5*PALEOmodel.get_statevar_norm(modeldata.solver_view_all) to set to a small fraction (here 1e-5, experimentation will be needed) of the state variables' norm_value attributes (these are set in the .yaml configuration file).
  3. Defend against -ve values when using plots with log scales by explicitly setting an axis lower limit eg ylim=(1e-9, Inf) (without this, the autoscaling will fail and possible produce strange-looking plots eg with inverted axes). See https://docs.juliaplots.org/latest/generated/attributes_axis/
diff --git a/v0.16.1/MathematicalFormulation/index.html b/v0.16.1/MathematicalFormulation/index.html new file mode 100644 index 0000000..ea20c49 --- /dev/null +++ b/v0.16.1/MathematicalFormulation/index.html @@ -0,0 +1,2 @@ + +Mathematical formulation of the reaction-transport problem · PALEOmodel Documentation
GitHub

Mathematical formulation of the reaction-transport problem

The PALEO models define various special cases of a general DAE problem (these can be combined, providing the number of implicit state variables $S_{impl}$ is equal to the number of algebraic constraints $G$ plus the number of total variables $U$):

Explicit ODE

The time derivative of explicit state variables $S_{explicit}$ (a subset of all state variables $S_{all}$) are an explicit function of time $t$:

\[\frac{dS_{explicit}}{dt} = F(S_{all}, t)\]

where explicit state variables $S_{explicit}$ are identified by PALEO attribute :vfunction = PALEOboxes.VF_StateExplicit and paired time derivatives $F$ by :vfunction = PALEOboxes.VF_Deriv along with the naming convention <statevarname>, <statevarname>_sms.

Algebraic constraints

State variables $S_{impl}$ (a subset of all state variables $S_{all}$) are defined by algebraic constraints $G$:

\[0 = G(S_{all}, t)\]

where implicit state variables $S_{impl}$ are identified by PALEO attribute :vfunction = PALEOboxes.VF_State and algebraic constaints $G$ by :vfunction = PALEOboxes.VF_Constraint (these are not paired).

ODE with variable substitution

State variables $S_{impl}$ (a subset of all state variables $S_{all}$) are defined the time evolution of total variables $U(S_{all})$ (this case is common in biogeochemistry where the total variables $U$ represent conserved chemical elements, and the state variables eg primary species):

\[\frac{dU(S_{all})}{dt} = F(U(S_{all}), t)\]

where total variables $U$ are identified by PALEO attribute :vfunction = PALEOboxes.VF_Total and paired time derivatives $F$ by :vfunction = PALEOboxes.VF_Deriv along with the naming convention <totalvarname>, <totalvarname>_sms, and implicit state variables $S_{impl}$ are identified by PALEO attribute :vfunction = PALEOboxes.VF_StateTotal.

diff --git a/v0.16.1/PALEOmodelOutput/index.html b/v0.16.1/PALEOmodelOutput/index.html new file mode 100644 index 0000000..eb2ffc3 --- /dev/null +++ b/v0.16.1/PALEOmodelOutput/index.html @@ -0,0 +1,26 @@ + +PALEOmodel output · PALEOmodel Documentation
GitHub

PALEOmodel output

Run

PALEOmodel.Run — Type
Run

Container for model and output.

Fields

  • model::Union{Nothing, PB.Model}: The model instance.
  • output::Union{Nothing, AbstractOutputWriter}: model output
source

Output

PALEO model output is accumulated into a container such as an OutputMemory instance that implements the AbstractOutputWriter interface.

AbstractOutputWriter interface

Writing output

PALEOmodel.OutputWriters.initialize! — Function
initialize!(
+    output::PALEOmodel.AbstractOutputWriter, model, modeldata, [nrecords] 
+    [;record_dim_name=:tmodel] [record_coord_units="yr"]
+)

Initialize from a PALEOboxes::Model, optionally reserving memory for an assumed output dataset of nrecords.

The default for record_dim_name is :tmodel, for a sequence of records following the time evolution of the model.

source
PALEOmodel.OutputWriters.add_record! — Function
add_record!(output::PALEOmodel.AbstractOutputWriter, model, modeldata, rec_coord)

Add an output record for current state of model at record coordinate rec_coord. The usual case (set by initialize!) is that the record coordinate is model time tmodel.

source

Modifying output

PALEOboxes.add_field! — Method
add_field!(output::PALEOmodel.AbstractOutputWriter, fr::PALEOmodel.FieldRecord)

Add PALEOmodel.FieldRecord fr to output, with Domain and name defined by fr.attributes[:var_domain] and fr.attributes[:var_name].

source

Querying output

PALEOboxes.get_table — Method
get_table(output::PALEOmodel.AbstractOutputWriter, domainname::AbstractString) -> Table
+get_table(output::PALEOmodel.AbstractOutputWriter, varnames::Vector{<:AbstractString}) -> Table

Return a DataFrame with raw model output data for Domain domainname, or for Variables varnames

source
PALEOboxes.show_variables — Method
show_variables(output::PALEOmodel.AbstractOutputWriter; kwargs...) -> Table
+show_variables(output::PALEOmodel.AbstractOutputWriter, domainname::AbstractString; kwargs...) -> Table

Keywords:

  • attributes=[:units, :vfunction, :space, :field_data, :description]: Variable attributes to include
  • filter = attrb->true: function to filter by Variable attributes. Example: filter=attrb->attrb[:vfunction]!=PB.VF_Undefined to show state Variables and derivatives.

Examples:

julia> vscodedisplay(PB.show_variables(run.output))  # show all output Variables in VS code table viewer
+julia> vscodedisplay(PB.show_variables(run.output, ["atm.pCO2PAL", "fluxOceanBurial.flux_P_total"]))  # show subset of output Variables in VS code table viewer
source
PALEOboxes.has_variable — Method
has_variable(output::PALEOmodel.AbstractOutputWriter, varname::AbstractString)  -> Bool

True if model output contains Variable varname.

source

Accessing output data

PALEOmodel.get_array — Method
get_array(output::PALEOmodel.AbstractOutputWriter, varname::AbstractString [, allselectargs::NamedTuple] [; coords::AbstractVector]) -> FieldArray
+get_array(output::PALEOmodel.AbstractOutputWriter, varname::AbstractString; allselectargs...) -> FieldArray

Return a PALEOmodel.FieldArray containing data values and any attached coordinates.

Equivalent to PALEOmodel.get_array(PB.get_field(output, varname), allselectargs [; coords]), see PALEOmodel.get_array(fr::PALEOmodel.FieldRecord).

source
PALEOboxes.get_data — Method
get_data(output::PALEOmodel.AbstractOutputWriter, varname; records=nothing) -> values

Get Variable varname raw data array, optionally restricting to records

source
PALEOboxes.get_mesh — Method
get_mesh(output::PALEOmodel.AbstractOutputWriter, domainname::AbstractString) -> grid::Union{AbstractMesh, Nothing}

Return grid for output Domain domainname.

source
PALEOmodel.FieldRecord — Type
FieldRecord{FieldData <: AbstractData, Space <: AbstractSpace, V, N, Mesh, R}
+FieldRecord(dataset, f::PB.Field, attributes; [sizehint=nothing])

A series of records::R each containing the values from a PALEOboxes.Field{FieldData, Space, N, V, Mesh}.

Implementation

Fields with array values are stored in records as a Vector of arrays. Fields with single values (field_single_element true) are stored as a Vector of eltype(Field.values).

source

OutputMemory

PALEOmodel.OutputWriters.OutputMemory — Type
OutputMemory(; user_data=Dict{String, UserDataTypes}())

In-memory container for model output, organized by model Domains.

Implements the PALEOmodel.AbstractOutputWriter interface, with additional methods save_netcdf and load_netcdf! to save and load data.

Implementation

  • Field domains::Dict{String, OutputMemoryDomain} contains per-Domain model output.
  • Field user_data::Dict{String, UserDataTypes} contains optional user data NB:
    • available types are restricted to those that are compatible with NetCDF attribute types, ie Float64, Int64, String, Vector{Float64}, Vector{Int64}, Vector{String}
    • Vectors with a single element are read back from netcdf as scalars, see https://alexander-barth.github.io/NCDatasets.jl/dev/issues/#Corner-cases
source
PALEOmodel.OutputWriters.save_netcdf — Function
save_netcdf(output::OutputMemory, filename; kwargs...)

Save to filename in netcdf4 format (NB: filename must either have no extension or have extension .nc)

Notes on structure of netcdf output

  • Each PALEO Domain is written to a netcdf4 group. These can be read into a Python xarray using the group=<domainname> argument to open_dataset.
  • Isotope-valued variables (field_data = PB.IsotopeLinear) are written with an extra isotopelinear netCDF dimension, containing the variable total and delta.
  • Any '/' characters in PALEO variables are substited for '%' in the netcdf name.

Keyword arguments

  • check_ext::Bool = true: check that filename ends in ".nc"
source
PALEOmodel.OutputWriters.load_netcdf! — Function
load_netcdf!(output::OutputMemory, filename)

Load from filename in netCDF format, replacing any existing content in output. (NB: filename must either have no extension or have extension .nc).

Example

julia> output = PALEOmodel.OutputWriters.load_netcdf!(PALEOmodel.OutputWriters.OutputMemory(), "savedoutput.nc")
source

Field Array

FieldArray provides a generic array type with named dimensions PALEOboxes.NamedDimension and optional coordinates PALEOmodel.FixedCoord for processing of model output.

PALEOmodel.FieldArray — Type
FieldArray

A generic xarray-like or IRIS-like n-dimensional Array with named dimensions and optional coordinates.

NB: this aims to be simple and generic, not efficient !!! Intended for representing model output, not for numerically-intensive calculations.

Fields

  • name::String: variable name

  • values::AbstractArray: n-dimensional Array of values

  • dims_coords::Vector{Pair{PALEOboxes.NamedDimension, Vector{PALEOmodel.FixedCoord}}}: Names of dimensions with optional attached coordinates

  • attributes::Union{Nothing, Dict{Symbol, Any}}: variable attributes

source
PALEOmodel.get_array — Method
get_array(fr::FieldRecord [, allselectargs::NamedTuple] [; coords::AbstractVector]) -> fa::FieldArray
+[deprecated] get_array(fr::FieldRecord [; coords::AbstractVector] [; allselectargs...]) -> fa::FieldArray

Return a FieldArray containing an Array of values and any attached coordinates, for records and spatial region defined by allselectargs.

Selecting records and regions

allselectargs is a NamedTuple of form:

(<dimcoordname> = <filter>, <dimcoordname> = <filter>,  ... [,expand_cartesian=false] [, squeeze_all_single_dims=true])

where <dimcoordname> is of form:

  • <dimname>_isel to select by array indices: <filter> may then be a single Int to select a single index, or a range first:last to select a range of indices.
  • <coordname> to select by coordinate values using the coordinates attached to each dimension: <filter> may then be a single number to select a single index corresponding to the nearest value of the corresponding coordinate, or (first::Float64, last::Float64) (a Tuple) to select a range starting at the index with the nearest value of fr.coords_record before first and ending at the nearest index after last.

Available dimensions and coordinates <dimcoordname> depend on the FieldRecord dimensions (as returned by get_dimensions, which will be a subset of grid spatial dimensions and Domain data dimensions) and corresponding attached coordinates (as returned by get_coordinates).

Some synonyms are defined for commonly used <dimnamecoordname>:

synonymsdimcoordnamecomment
records<recorddim>_isel<recorddim> is usually tmodel
cells, cellcells_isel
column=<n>cells_isel = first:lastselect range of cells corresponding to column n

Optional argument coords can be used to replace the attached coordinates for one or more dimensions. Format is a Vector of Pairs of "<dim_name>"=>("<var_name1>", "<var_name2>", ...), eg to replace an nD column atmosphere model default pressure coordinate with a z coordinate:

coords=["cells"=>("atm.zmid", "atm.zlower", "atm.zupper")]

Optional argument expand_cartesian is only needed for spatially resolved output using a CartesianLinearGrid, and should be set to true to expand compressed internal data (with spatial dimension cells) to a cartesian array (with spatial dimensions eg lon, lat, zt),

Dimensions corresponding to a selection for a single index or coordinate value are always squeezed out from the returned FieldArray. Optional argument squeeze_all_single_dims (default true) controls whether all output dimensions that contain a single index are squeezed out (including eg a selection for a range that results in a dimension with one index, or where the input FieldRecord contains a dimension with a single index).

Selection arguments used are returned as strings in fa.attributes filter_records and filter_region for use in plot labelling etc.

Examples

  • select a timeseries for single cell index 3

    get_array(fr, (cell=3, ))

  • select first column at nearest available time to model time 10.0

    get_array(fr, (column=1, tmodel=10.0))

  • set first column at nearest available time to model time 10.0, replacing atmosphere model pressure coordinate with z coordinate:

    get_array(fr, (column=1, tmodel=10.0); coords=["cells"=>("atm.zmid", "atm.zlower", "atm.zupper")])

  • select surface 2D array (dimension zt, index 1) from 3D output at nearest available time to model time 10.0, expanding CartesianLinearGrid.

    get_array(fr, (zt_isel=1, tmodel=10.0, expand_cartesian=true))

  • select section 2D array at nearest index to longitude 200 degrees from 3D output at nearest available time to model time 10.0, expanding CartesianLinearGrid.

    get_array(fr, (lon=200.0, tmodel=10.0, expand_cartesian=true))

Limitations

  • time-varying coordinates (eg a z coordinate in an atmosphere climate model) are not fully handled. If a single record is selected, the correct values for the coordinate at that time will be returned, but if multiple records are selected, the coordinate will be incorrectly fixed to the values at the time corresponding to the first record.
source
PALEOmodel.FixedCoord — Type
FixedCoord(name, values::Array{Float64, N}, attributes::Dict)

A fixed (state independent) coordinate

These are generated from coordinate variables for use in output visualisation.

N = 1: a cell-centre coordinate, size(values) = (ncells, ) N = 2: a boundary coordinate, size(values) = (2, ncells)

source

Plotting output

Plot recipes

Plotting using the Julia Plots.jl package is implemented by plot recipes that enable plotting of PALEO data types using the plot command.

The general principles are that:

  • Data is extracted from model output into FieldArrays with attached coordinates
  • Vector-valued arguments are "broadcast" to allow multiple line plot series to be overlaid in a single plot panel
RecipesBase.apply_recipe — Method
plot(output::AbstractOutputWriter, vars::Union{AbstractString, Vector{<:AbstractString}} [, selectargs::NamedTuple] [; coords::AbstractVector])
+heatmap(output::AbstractOutputWriter, var::AbstractString [, selectargs::NamedTuple] [; coords::AbstractVector])
+plot(outputs::Vector{<:AbstractOutputWriter}, vars::Union{AbstractString, Vector{<:AbstractString}} [, selectargs::NamedTuple] [; coords::AbstractVector])

Plot recipe that calls PB.get_field(output, var), and passes on to plot(fr::FieldRecord, selectargs) (see RecipesBase.apply_recipe(::Dict{Symbol, Any}, fr::FieldRecord, selectargs::NamedTuple))

Vector-valued outputs or vars are "broadcast" to create a plot series for each element. A labelprefix (index in outputs Vector) is added to identify each plot series produced.

If var is of form <domain>.<name>.<structfield>, then sets the structfield keyword argument to take a single field from a struct Variable.

Optional argument coords can be used to supply plot coordinates from Variable in output. Format is a Vector of Pairs of "coordname"=>("varname1", "var_name2", ...)

Example: to replace a 1D column default pressure coordinate with a z coordinate:

coords=["z"=>("atm.zmid", "atm.zlower", "atm.zupper")]
source
RecipesBase.apply_recipe — Method
plot(fr::FieldRecord, selectargs::NamedTuple)
+heatmap(fr::FieldRecord, selectargs::NamedTuple)

Plot recipe to plot a single FieldRecord

Calls get_array(fr, selectargs) and passes on to plot(fa::FieldArray) (see RecipesBase.apply_recipe(::Dict{Symbol, Any}, fa::FieldArray)).

Vector-valued fields in selectargs are "broadcasted" (generating a separate plot series for each combination)

Optional argument coords can be used to supply plot coordinates from Variable in output. Format is a Vector of Pairs of "coordname"=>("varname1", "var_name2", ...)

Example: to replace a 1D column default pressure coordinate with a z coordinate:

coords=["z"=>("atm.zmid", "atm.zlower", "atm.zupper")]
source
RecipesBase.apply_recipe — Method
plot(fa::FieldArray; kwargs...)
+heatmap(fa::FieldArray; kwargs...)
+plot(fas::Vector{<:FieldArray}; kwargs...)

Plot recipe that plots a single [FieldArray] or Vector of [FieldArray].

If fa has a single dimension, this is suitable for a line-like plot, if two dimensions, a heatmap.

If fas::Vector is supplied, this is "broadcast" generating one plot series for each element, with the Vector index prepended to labelprefix to identify the plot series (unless overridden by labellist or labelattribute)

Keywords

  • swap_xy::Bool=false: true to swap x and y axes
  • mult_y_coord=1.0: workaround for bugs in Plots.jl heatmap yflip - multiply y coordinate by constant factor.
  • structfield::Union{Symbol, Nothing}=nothing: use field structfield from a struct-valued array.
  • map_values=PB.get_total: function to apply to y (for a 1D series) or z (for a 2D heatmap etc) before plotting
  • labelprefix="": prefix for plot label.
  • labellist=[]: list of labels to override defaults
  • labelattribute=nothing: FieldArray attribute to use as label
source

Assembling multi-plot panels

PALEOmodel.PlotPager — Type
PlotPager(layout [, kwargs=NamedTuple()][; displayfunc=(plot, nplot)->display(plot)])

Accumulate plots into subplots.

layout is supplied to Plots.jl layout keyword, may be an Int or a Tuple (ny, nx), see https://docs.juliaplots.org/latest/.

Optional argument kwargs::NamedTuple provides additional keyword arguments passed through to plot (eg (legend_background_color=nothing, ) to set all subplot legends to transparent backgrounds)

Optional keyword argument displayfunc::(plot, nplot)->display(plot) provides the function used to display a screen of plots, where plot is a Plot object and nplot::Integer is the sequential number of this screen.

Usage

julia> pp = PlotPager((2,2))  # 4 panels per screen (2 down, 2 across)
+julia> pp(plot(1:3))  # Accumulate
+julia> pp(:skip, plot(1:4), plot(1:5), plot(1:6))  # add multiple panels in one command
+julia> pp(:newpage) # flush any partial screen and start new page (NB: always add this at end of a sequence!)
+
+julia> pp = PlotPager((2, 2); displayfunc=(plot, nplot)->savefig(plot, "plot_$nplot.png")) # save to file instead of default display

Commands

  • pp(p): accumulate plot p
  • pp(:skip): leave a blank panel
  • pp(:newpage): fill with blank panels and start new page
  • pp(p1, p2, ...): multiple plots/commands in one call
source

Analyze reaction network

PALEOmodel.ReactionNetwork — Module
ReactionNetwork

Functions to analyze a PALEOboxes.Model or PALEOmodel output that contains a reaction network

Compiles reaction stoichiometry and rate information from attributes attached to reaction rate variables:

  • rate_processname::String: a process name (eg "photolysis", "reaction", ...)
  • rate_species::Vector{String} names of reactant and product species
  • rate_stoichiometry::Vector{Float64} stoichiometry of reactant and product species
source
PALEOmodel.ReactionNetwork.get_ratetable — Function
get_ratetable(model, domainname) -> DataFrame
+get_ratetable(output, domainname) -> DataFrame

Get table of rate Variables and reactions

Returns a DataFrame with columns :name, :rate_processname, :rate_species, :rate_stoichiometry

source
PALEOmodel.ReactionNetwork.get_all_species_ratevars — Function
get_all_species_ratevars(model, domainname) -> OrderedDict(speciesname => [(stoich, ratevarname, processname), ...])
+get_all_species_ratevars(output, domainname) -> OrderedDict(speciesname => [(stoich, ratevarname, processname), ...])
+get_all_species_ratevars(ratetable::DataFrame) -> OrderedDict(speciesname => [(stoich, ratevarname, processname), ...])

Get all species and contributing reaction rate Variable names as Dict of Tuples (stoich, ratevarname, processname) where ratevarname is the name of an output Variable with a reaction rate, stoich is the stoichiometry of that rate applied to species, and processname identifies the nature of the reaction.

source
PALEOmodel.ReactionNetwork.get_rates — Function
get_rates(output, domainname [, outputrec] [, indices] [, scalefac] [, add_equations] [, ratetable_source]) -> DataFrame

Get all reaction rates as column rate_total for domainname from output record outputrec (defaults to last time record), for subset of cells in indices (defaults to whole domain).

Set optional ratetable_source = model to use with older output that doesn't include rate variable attributes.

source
PALEOmodel.ReactionNetwork.get_all_species_ratesummaries — Function
get_all_species_ratesummaries(output, domainname [, outputrec] [, indices] [, scalefac] [, ratetable_source]) 
+    -> OrderedDict(speciesname => (source, sink, net, source_rxs, sink_rxs))

Get source, sink, net rates and rates of source_rxs and sink_rxs for all species in domainname from output record outputrec (defaults to last record), cells in indices (defaults to whole domain),

Optional scalefac to convert units, eg scalefac=1.90834e12 to convert mol m-2 yr-1 to molecule cm-2 s-1

Set optional ratetable_source = model to use with older output that doesn't include rate variable attributes.

source
PALEOmodel.ReactionNetwork.show_ratesummaries — Function
show_ratesummaries([io::IO = stdout], ratesummaries [; select_species=[]])

Print per-species reaction rates from ratesummaries to output stream io (defaults to stdout), optionally selecting species to print.

Example

ratesummaries = PALEOmodel.ReactionNetwork.get_all_species_ratesummaries(output, "atm")
+PALEOmodel.ReactionNetwork.show_ratesummaries(ratesummaries)
source
diff --git a/v0.16.1/PALEOmodelSolvers/index.html b/v0.16.1/PALEOmodelSolvers/index.html new file mode 100644 index 0000000..e43f63c --- /dev/null +++ b/v0.16.1/PALEOmodelSolvers/index.html @@ -0,0 +1,120 @@ + +PALEOmodel solvers · PALEOmodel Documentation
GitHub

PALEOmodel solvers

Initialization

PALEOmodel.initialize! — Function
initialize!(model::PB.Model; kwargs...) -> (initial_state::Vector, modeldata::PB.ModelData)

Initialize model and return:

  • an initial_state Vector
  • a modeldata struct containing the model arrays.

Initialising the state vector

With default arguments, the model state variables are initialised to the values defined in the .yaml configuration file used to create the model.

The optional pickup_output argument can be used to provide an OutputWriter instance with pickup data to initialise from, using set_statevar_from_output!. This is applied afer the default initialisation, hence can be used to (re)initialise a subset of model state variables.

DataTypes for model arrays

With default arguments, the model arrays use Float64 as the element type. The eltype keyword argument can be used to specify a different Julia DataType, eg for use with automatic differentiation. Per-Variable DataType can be specified by using the :datatype Variable attribute to specify String-valued tags, in combination with the eltypemap keyword argument to provide a Dict of tag names => DataTypes.

Thread safety

A thread-safe model can be created by setting the threadsafe=true global parameter in the YAML config file before calling PB.create_model_from_config (used by Reactions that require eg special handling of global accumulator variables to maintain thread safety), and supplying method_barrier (a thread barrier to add to ReactionMethod dispatch lists between dependency-free groups):

method_barrier = PB.reaction_method_thread_barrier(
+    PALEOmodel.ThreadBarriers.ThreadBarrierAtomic("the barrier"),
+    PALEOmodel.ThreadBarriers.wait_barrier
+)

Keyword summary

  • pickup_output=nothing: OutputWriter with pickup data to initialise from
  • check_units_opt=:no: check linked Variable units are consistent (:no to disable check, :warn to warn and continue, :error to error and stop)
  • eltype::Type=Float64: default data type to use for model arrays
  • eltypemap=Dict{String, DataType}(): Dict of data types to look up Variable :datatype attribute
  • method_barrier=nothing: thread barrier to add to dispatch lists to create a thread-safe model
  • expect_hostdep_varnames=["global.tforce"]: non-state-Variable host-dependent Variable names expected
  • SolverView_all=true: true to create modeldata.solver_view_all
  • create_dispatchlists_all=true: true to create modeldata.dispatchlists_all
  • generated_dispatch=true: true to autogenerate code for modeldata.dispatchlists_all (fast dispatch, slow compile)
source
[deprecated] initialize!(run::Run; kwargs...) -> (initial_state::Vector, modeldata::PB.ModelData)

Call initialize! on run.model.

source
PALEOmodel.set_statevar_from_output! — Function
set_statevar_from_output!(modeldata, output::AbstractOutputWriter) -> initial_state

Initialize model state Variables from last record in output

NB: modeldata must contain solver_view_all

source

DifferentialEquations solvers

Wrappers for the Julia DifferentialEquations package ODE and DAE solvers. These are usually appropriate for smaller biogeochemical models.

NB: see Managing small and negative values for best practices and common issues when using ODE or DAE solvers.

High level wrappers

PALEOmodel.ODE.integrate — Function
integrate(run, initial_state, modeldata, tspan [; kwargs...] ) -> sol::SciMLBase.ODESolution
+integrateForwardDiff(run, initial_state, modeldata, tspan [;kwargs...]) -> sol::SciMLBase.ODESolution

Integrate run.model as an ODE or as a DAE with constant mass matrix, and write to outputwriter

Provides a wrapper around the Julia SciML DifferentialEquations package ODE solvers, with PALEO-specific additional setup. Keyword arguments alg and solvekwargs are passed through to the DifferentialEquations solve method.

integrateForwardDiff sets keyword arguments jac_ad=:ForwardDiffSparse, alg=Sundials.CVODE_BDF(linear_solver=:KLU) to use the Julia ForwardDiff package to provide the Jacobian with forward-mode automatic differentiation and automatic sparsity detection.

Implementation

Follows the SciML standard pattern:

  • Create ODEfunction
  • Create SciMLBase.ODEproblem
  • Call SciMLBase.solve

and then

Arguments

  • run::Run: struct with model::PB.Model to integrate and output field
  • initial_state::AbstractVector: initial state vector
  • modeldata::Modeldata: ModelData struct
  • tspan: (tstart, tstop) integration start and stop times

Keywords

  • alg=Sundials.CVODE_BDF(): ODE algorithm to use, passed through to DifferentialEquations.jl solve method. The default is appropriate for a stiff system of equations (common in biogeochemical models), see https://diffeq.sciml.ai/dev/solvers/ode_solve/ for other options.
  • solvekwargs=NamedTuple(): NamedTuple of keyword arguments passed through to DifferentialEquations.jl solve (eg to set abstol, reltol, saveat, see https://diffeq.sciml.ai/dev/basics/common_solver_opts/)
  • outputwriter=run.output: PALEOmodel.AbstractOutputWriter instance to hold output
  • jac_ad=:NoJacobian: Jacobian to generate and use (:NoJacobian, :ForwardDiffSparse, :ForwardDiff)
  • jac_ad_t_sparsity=tspan[1]: model time at which to calculate Jacobian sparsity pattern
  • steadystate=false: true to use DifferentialEquations.jl SteadyStateProblem (not recommended, see PALEOmodel.SteadyState.steadystate).
  • BLAS_num_threads=1: number of LinearAlgebra.BLAS threads to use
  • generated_dispatch=true: true to autogenerate code (fast solve, slow compile)
source
PALEOmodel.ODE.integrateDAE — Function
integrateDAE(run, initial_state, modeldata, tspan [; kwargs...]) -> sol::SciMLBase.DAESolution
+integrateDAEForwardDiff(run, initial_state, modeldata, tspan [; kwargs...]) -> sol::SciMLBase.DAESolution

Integrate run.model as a DAE and copy output to outputwriter.

Provides a wrapper around the Julia SciML DifferentialEquations package DAE solvers, with PALEO-specific additional setup. Keyword arguments alg and solvekwargs are passed through to the DifferentialEquations solve method.

integrateDAEForwardDiff sets keyword arguments jac_ad=:ForwardDiffSparse, alg=Sundials.IDA(linear_solver=:KLU) to use the Julia ForwardDiff package to provide the Jacobian with forward-mode automatic differentiation and automatic sparsity detection.

Limitations

  • arbitrary combinations of implicit total (T) and algebraic constraint (C) variables are not supported by Sundials IDA

as used here, as the IDA solver option used to find consistent initial conditions requires a partioning into differential and algebraic variables (see SolverView documentation).

Implementation

Follows the SciML standard pattern:

and then

Keywords

As integrate, with defaults:

  • alg=Sundials.IDA() (integrateDAE)
  • alg=Sundials.IDA(linear_solver=:KLU) (integrateDAEForwardDiff)
source

Low level functions

ODE functions:

PALEOmodel.ODE.ODEfunction — Function
ODEfunction(model::PB.Model, modeldata [; kwargs]) -> SciMLBase.ODEFunction

Contruct SciML ODEfunction https://diffeq.sciml.ai/latest/ with PALEO-specific setup

Keyword arguments are required to generate a Jacobian function (using automatic differentation).

Keywords

  • jac_ad=:NoJacobian: Jacobian to generate and use (:NoJacobian, :ForwardDiffSparse, :ForwardDiff)
  • initial_state::AbstractVector: initial state vector
  • jac_ad_t_sparsity::Float64: model time at which to calculate Jacobian sparsity pattern
source
PALEOmodel.JacobianAD.jac_config_ode — Function
jac_config_ode(
+    jac_ad, model, initial_state, modeldata, jac_ad_t_sparsity;
+    kwargs...
+)-> (jac, jac_prototype::Union{Nothing, SparseMatrixCSC})

Create and return jac (ODE Jacobian function object), and jac_prototype (sparsity pattern as SparseMatrixCSC, or nothing for dense Jacobian)

jac_ad defines Jacobian type (:ForwardDiffSparse, :ForwardDiff)

Adds an array set to modeldata with appropriate datatypes for ForwardDiff AD Dual numbers, sets up cache for ForwardDiff, calculates Jacobian sparsity (if required) at time jac_ad_t_sparsity.

NB: there is a profusion of different Julia APIs here:

  • ForwardDiff Sparse and dense Jacobian use different APIs and have different cache setup requirements.
  • ForwardDiff requires f!(du, u) hence a closure or function object, DifferentialEquations allows context objects to be passed around.

Keyword arguments

  • parameter_aggregator::Union{Nothing, PB.ParameterAggregator}=nothing: provide Jacobian that supports parameters p as defined by parameter_aggregator
  • jac_cellranges=modeldata.cellranges_all: restrict Jacobian to this subset of Domains and Reactions (via operatorID).
  • request_adchunksize=ForwardDiff.DEFAULT_CHUNK_THRESHOLD: chunk size for ForwardDiff automatic differentiation
  • fill_jac_diagonal=true: (jac=:ForwardDiffSparse only) true to fill diagonal of jac_prototype
  • generated_dispatch=true: true to autogenerate code for dispatch (fast dispatch, slow compile)
  • throw_on_nan=false: true to error if NaN detected in Jacobian
  • use_base_vars=String[]: additional Variable full names not calculated by Jacobian, which instead use arrays from modeldata base arrays (arrays_idx=1) instead of allocating new AD Variables
source
PALEOmodel.JacobianAD.paramjac_config_ode — Function
paramjac_config_ode(model::PB.Model, pa::PB.ParameterAggregator, modeldata::PB.ModelData; kwargs...)
+    -> paramjac::ParamJacODEForwardDiffDense

Create parameter Jacobian function object paramjac to calculate (dense) parameter Jacobian using ForwardDiff.

A set of model arrays of appropriate Dual number type is added to modeldata.

Keyword arguments

  • filterT=nothing: enable optimisation for the case where only a small number of parameter indices contribute to paramjac at model time t - supply a function filterT(t) -> (pi_1, pi_2, ...) to specify the parameter indices.
  • paramjac_cellranges=modeldata.cellranges_all: restrict Jacobian to this subset of Domains and Reactions (via operatorID).
  • request_adchunksize=ForwardDiff.DEFAULT_CHUNK_THRESHOLD: chunk size for ForwardDiff automatic differentiation
  • generated_dispatch=true: true to autogenerate code for dispatch (fast dispatch, slow compile)
  • use_base_vars=String[]: additional Variable full names not calculated by Jacobian, which instead use arrays from modeldata base arrays (arrays_idx=1) instead of allocating new AD Variables
source

DAE functions:

PALEOmodel.ODE.DAEfunction — Function
DAEfunction(model::PB.Model, modeldata [; kwargs]) -> SciMLBase.DAEFunction

Contruct SciML DAEfunction https://diffeq.sciml.ai/latest/ with PALEO-specific setup

Keyword arguments are required to generate a Jacobian function (using automatic differentation).

Keywords

  • jac_ad=:NoJacobian: Jacobian to generate and use (:NoJacobian, :ForwardDiffSparse, :ForwardDiff)
  • initial_state::AbstractVector: initial state vector
  • jac_ad_t_sparsity::Float64: model time at which to calculate Jacobian sparsity pattern
source
PALEOmodel.ODE.get_inconsistent_initial_deriv — Function
get_inconsistent_initial_deriv(
+    initial_state, modeldata, initial_t, differential_vars, modeldae::SolverFunctions.ModelDAE
+) -> initial_deriv

NB: IDA initialisation seems not fully understood: with Julia Sundials.IDA(initall=false) (the Sundials.jl default) corresponding to the IDA option `IDAYAYDPINITtoIDACalcIC(), this should "direct IDACalcIC() to compute the algebraic components of y and differential components of ydot, given the differential components of y." But it seems to have some sensitivity toinitial_deriv` (ydot), which shouldn't be used according to the above ?

This function takes a guess at what is needed for initial_deriv:

  • initial_deriv for ODE variables will now be consistent
  • set initial_deriv (constraint for algebraic variables) = 0, this will not be satisfied (ie will not be consistent)
  • initial_deriv for implicit variables will not be consistent
source

Model solution:

PALEOmodel.ODE.print_sol_stats — Function
print_sol_stats(sol::SciMLBase.ODESolution)
+print_sol_stats(sol::SciMLBase.DAESolution)
+print_sol_stats(sol::SciMLBase.NonlinearSolution)
+print_sol_stats(sol::SciMLBase.RODESolution)

Print solution statistics

source
PALEOmodel.ODE.calc_output_sol! — Function
calc_output_sol!(outputwriter, model::PB.Model, sol::SciMLBase.ODESolution, tspan, initial_state, modeldata)
+calc_output_sol!(outputwriter, model::PB.Model, sol::SciMLBase.DAESolution, tspan, initial_state, modeldata)
+calc_output_sol!(outputwriter, model::PB.Model, sol::SciMLBase.RODESolution, tspan, initial_state, modeldata)
+calc_output_sol!(outputwriter, model::PB.Model, sol::SciMLBase.NonlinearSolution, tspan, initial_state, modeldata)
+calc_output_sol!(outputwriter, model::PB.Model, tsoln::AbstractVector, soln::AbstractVector,  modeldata)

Iterate through solution and recalculate model fields (functions of state variables and time) and store in outputwriter.

Arguments

  • outputwriter::PALEOmodel.AbstractOutputWriter: container for output
  • model::PB.Model used to calculate solution
  • sol: SciML solution object
  • tspan: (tstart, tstop) integration start and stop times
  • initial_state::AbstractVector: initial state vector
  • tsoln::AbstractVector: solution times
  • soln::AbstractVector: solution state variables
  • modeldata::PB.Modeldata: ModelData struct
source

Steady-state solvers (Julia NLsolve based)

PALEOmodel.SteadyState.steadystate — Function
steadystate(run, initial_state, modeldata, tss [; kwargs...] )
+steadystateForwardDiff(run, initial_state, modeldata, tss [; kwargs...] )

Find steady-state solution (using NLsolve.jl package) and write to outputwriter (two records are written, for initial_state and the steady-state solution).

steadystateForwardDiff has default keyword argument jac_ad=:ForwardDiffSparse to use automatic differentiation for sparse Jacobian.

Arguments

  • run::Run: struct with model::PB.Model to integrate and output field
  • initial_state::AbstractVector: initial state vector
  • modeldata::Modeldata: ModelData struct with appropriate element type for forward model
  • tss: (yr) model tforce time for steady state solution

Optional Keywords

  • outputwriter::PALEOmodel.AbstractOutputWriter=run.output: container to hold output
  • initial_time=-1.0: tmodel to write for first output record
  • solvekwargs=NamedTuple(): NamedTuple of keyword arguments passed through to NLsolve.jl (eg to set method, ftol, iteration, show_trace, store_trace).
  • jac_ad: :NoJacobian, :ForwardDiffSparse, :ForwardDiff
  • BLAS_num_threads=1: number of LinearAlgebra.BLAS threads to use
  • generated_dispatch=true: true to use autogenerated code (fast solve, slow compile)
  • [Deprecated: use_norm=false: (must be false)]
source
PALEOmodel.SteadyState.steadystate_ptc — Function
steadystate_ptc(run, initial_state, modeldata, tspan, deltat_initial; kwargs...) 
+steadystate_ptcForwardDiff(run, initial_state, modeldata, tspan, deltat_initial; kwargs...)

Find steady-state solution and write to outputwriter, using solve_ptc naive pseudo-transient-continuation with first order implicit Euler pseudo-timesteps.

steadystate_ptcForwardDiff sets keyword argument default jac_ad=:ForwardDiffSparse to use automatic differentiation for sparse Jacobian.

Arguments

  • run::Run: struct with model::PB.Model to integrate and output field
  • initial_state::AbstractVector: initial state vector
  • modeldata::Modeldata: ModelData struct with appropriate element type for forward model
  • tspan: Vector or Tuple with (initial_time, final_time)
  • deltat_initial: initial pseudo-timestep

Keywords in addition to those supported by solve_ptc:

  • jac_ad: AD Jacobian to use (steadystate_ptc default :NoJacobian, steadystate_ptcForwardDiff default :ForwardDiff)
  • request_adchunksize=10: ForwardDiff chunk size to request.
  • jac_cellranges=modeldata.cellranges_all: CellRanges to use for Jacobian calculation (eg to restrict to an approximate Jacobian by using a cellrange with a non-default operatorID: in this case, Variables that are not calculated but needed for the Jacobian should set the transfer_jacobian attribute so that they will be copied)
  • generated_dispatch=true: true for fast solve, slow compile.
source
PALEOmodel.SteadyState.steadystate_ptc_splitdae — Function
steadystate_ptc_splitdae(run, initial_state, modeldata, tspan, deltat_initial; kwargs...)

Find steady-state solution and write to outputwriter, using solve_ptc naive pseudo-transient-continuation with first order implicit Euler pseudo-timesteps, with inner Newton solve for per-cell DAE algebraic constraints (eg quasi-steady-state reaction intermediates)

Arguments

  • run::Run: struct with model::PB.Model to integrate and output field
  • initial_state::AbstractVector: initial state vector
  • modeldata::Modeldata: ModelData struct with appropriate element type for forward model
  • tspan: Vector or Tuple with (initial_time, final_time)
  • deltat_initial: initial pseudo-timestep

Keywords in addition to those supported by solve_ptc:

  • request_adchunksize=10: ForwardDiff chunk size to request for outer Newton solve.
  • jac_cellranges=modeldata.cellranges_all: CellRanges to use for Jacobian calculation (eg to restrict to an approximate Jacobian by using a cellrange with a non-default operatorID: in this case, Variables that are not calculated but needed for the Jacobian should set the transfer_jacobian attribute so that they will be copied)
  • generated_dispatch=true: true for fast solve, slow compile.
  • operatorID_inner=3: operatorID for Reactions to run for inner solve (typically all reservoirs and chemical reactions)
  • transfer_inner_vars=["tmid", "volume", "ntotal", "Abox"]: Variables not calculated by operatorID_inner that need to be copied for inner solve (additional to those with transfer_jacobian set).
  • inner_jac_ad::Symbol=:ForwardDiff: form of automatic differentiation to use for Jacobian for inner NonlinearNewton.solve solver (options :ForwardDiff, :ForwardDiffSparse)
  • inner_start::Symbol=:current: start value for inner solve (options :initial, :current, :zero)
  • inner_kwargs::NamedTuple=(verbose=0, miniters=2, reltol=1e-12, jac_constant=true, project_region=identity): keywords for inner NonlinearNewton.solve solver.
source
PALEOmodel.SteadyState.solve_ptc — Function
solve_ptc(run, initial_state, nlsolveF, tspan, deltat_initial::Float64; kwargs...)

Pseudo-transient continuation using NLsolve.jl

Not called directly: see steadystate_ptc, steadystate_ptc_splitdae

Find the approximate time evolution or accurate steady-state solution for state variables S satisfying the ODE dS/dt = dSdt(S, t) , using naive pseudo-transient-continuation with first order implicit Euler pseudo-timesteps from tspan[1] to tspan[2] and NLsolve.jl as the non-linear solver.

Each pseudo-timestep from time t to t+Δt uses a variant of Newton's method to solve the nonlinear system S_new = S(t) + Δt dSdt(S_new, t+Δt) for S_new = S(t+Δt).

The initial pseudo-timestep Δt is deltat_initial, this is multiplied by deltat_fac for the next iteration until pseudo-time tss_max is reached. If an iteration fails, Δt is divided by deltat_fac and the iteration retried. NB: this is a very naive initial implementation, there is currently no reliable error control to adapt pseudo-timesteps to the rate of convergence, so requires some trial-and-error to set an appropiate deltat_fac for each problem.

Solver options to pass through to the outer NLsolve nonlinear solver are set by solvekwargs

Arguments

  • run::Run: struct with model::PB.Model to integrate and output field
  • initial_state::AbstractVector: initial state vector
  • nlsolveF = (ssFJ!, nldf): function objects created by high-level wrapper.
  • tspan: Vector or Tuple with (initial_time, final_time)
  • deltat_initial: initial pseudo-timestep

Keyword Arguments

  • deltat_fac=2.0: factor to increase pseudo-timestep on success
  • 'dtmax=Inf': maximum pseudo-timestep
  • saveat=Float64[]: Vector of model pseudo-times at which to save output (empty Vector to save all output timesteps)
  • outputwriter=run.output: container for output
  • solvekwargs=NamedTuple(): arguments to pass through to NLsolve
  • maxiters=1000: maximum number of PTC iterations
  • max_failed_iter=20: maximum number of iterations that make no progress (either fail, or no change in solution) before exiting
  • check_callbacks=[]: vector of callback functions to check validity of solution [check_callback(sol, tss, deltat, model, modeldata)]
  • step_callbacks=[]: vector of callback functions to follow a successful step [step_callback(sol, tss, deltat, model, modeldata)], eg to project solution onto invariant manifold (Shampine, 1999)
  • verbose=false: true for detailed output
  • BLAS_num_threads=1: restrict threads used by Julia BLAS (likely irrelevant if using sparse Jacobian?)
  • [Deprecated]: tss_output=Float64[]: renamed to 'saveat'
  • [Deprecated]: - max_iter: renamed to maxiters
  • [Deprecated: - enforce_noneg=nothing: true to fail pseudo-timesteps that generate negative values for state variables.]
  • [Deprecated: use_norm=false: not supported (must be false)]
  • [Deprecated: sol_min: now has no effect, replace with solve_kwargs=(apply_step! = PALEOmodel.SolverFunctions.StepClampAll!(sol_min, sol_max), )]

Function objects nlsolveF = (ssFJ!, nldf)

The nldf function object should adapt ssFJ! to implement the NLsolve interface to provide the residual function f(S_new) = S_new - (S(t) + Δt dSdt(S_new, t+Δt) (and its jacobian) where the equation f(S_new) = 0 defines the new state variable S_new = S(t+Δt) at new time t+Δt after implicit timestep Δt.

The ssFJ! struct should additionally provide a function object modelode to calculate the ODE time derivative dSdt(S, p, t) (including a solve for any DAE algebraic variables), NB: parameters p are not used.

  • ssFJ!.modelode(dSdt, S, p, t)

and should implement:

  • get_state(ssFJ!) -> inner_state: record any state additional to that defined by ODE state variables (eg state variables for short lived species)
  • set_step!(ssFJ!, t+Δt, Δt, S(t), inner_state): reset ssFJ! and hence nldf to calculate the residual f(S_new) for an implicit timestep

Δt to t+Δt from previous state S(t), optionally using inner_state to eg configure an internal solver for DAE algebraic variables.

source

Sparse linear solvers adapted to NLsolve interface:

Function objects to project Newton iterations into valid regions:

PALEOmodel.SolverFunctions.StepClampMultAll! — Type
StepClampMultAll!(minvalue, maxvalue, minmult, maxmult) -> scma!
+StepClampMultAll!(minvalue, maxvalue, maxratio) = StepClampMultAll!(minvalue, maxvalue, 1.0/maxratio, maxratio)
+scma!(x, x_old, newton_step)

Function object to take Newton step x .= x_old .+ newton_step and then clamp all values in Vector x to specified range using:

  • clamp!(x, x_old*minmult, x_old*maxmult)
  • clamp!(x, minvalue, maxvalue)
source
PALEOmodel.SolverFunctions.StepClampAll! — Type
StepClampAll!(minvalue, maxvalue) -> sca!
+sca!(x, x_old, newton_step)

Function object to take Newton step x .= x_old .+ newton_step and then clamp all values in Vector x to specified range using clamp!(x, minvalue, maxvalue)

source
PALEOmodel.SolverFunctions.ClampAll — Type
ca = ClampAll(minvalue, maxvalue)
+ca(v) -> v

Function object to clamp all values in Vector v to specified range using clamp.(v, minvalue, maxvalue) (out-of-place version)

source
PALEOmodel.SolverFunctions.ClampAll! — Type
ClampAll!(minvalue, maxvalue) -> ca!
+ca!(v)

Function object to clamp all values in Vector v to specified range using clamp!(v, minvalue, maxvalue) (in-place, mutating version)

source

Function objects to manage outer nonlinear steps:

PALEOmodel.SteadyState.ConservationCallback — Type
ConservationCallback(
+    tmodel_start::Float64 # earliest model time to apply correction
+    content_name::String # variable with a total of X
+    flux_name::String  # variable with a corresponding boundary flux of X
+    reservoir_total_name::String  # total for reservoir to apply correction to
+    reservoir_statevar_name::String # state variable for reservoir to apply correction to
+    reservoir_fac::Float64  # stoichiometric factor (1 / moles of quantity X per reservoir molecule)
+) -> ccb

Provides a callback function with signature

ccb(state, tmodel, deltat, model, modeldata)

that modifies modeldata arrays and state to enforce budget conservation.

General principle is to project the solution onto an invariant manifold (modifying state variables), as discussed in (Shampine, 1999)

Example

conservation_callback_H = PALEOmodel.SteadyState.ConservationCallback(
+    tmodel_start=1e5,
+    content_name="global.content_H_atmocean",
+    flux_name="global.total_H",
+    reservoir_total_name="atm.CH4_total", # "atm.H2_total",
+    reservoir_statevar_name="atm.CH4_mr", # "atm.H2_mr",
+    reservoir_fac=0.25 # 0.5, # H per reservoir molecule
+)

then add to eg steadystate_ptc_splitdae with step_callbacks keyword argument:

step_callbacks = [conservation_callback_H]
source
PALEOmodel.SteadyState.RestartSmallValuesCallback — Type
RestartSmallValuesCallback(
+    stateexplicit::PB.VariableAggregator; 
+    include_variables::Vector{String} = String[v.domain.name*"."*v.name for v in stateexplicit.vars],
+    exclude_variables::Vector{String} = String[],
+    modify_threshold=1e-80,
+    modify_val=1e-30
+) -> rsvc

Provides a callback function with signature

rsvc(state, tmodel, deltat, model, modeldata)

that modifies state to reset variables with values < modify_threshold to value modify_val, hence restarting the Newton solve from modify_val on the next iteration.

Example

restart_small_values_callback = PALEOmodel.SteadyState.RestartSmallValuesCallback(
+    modeldata.solver_view_all.stateexplicit;
+    modify_threshold = 1e-80,
+    modify_val = 1e-30,
+)

then add to eg steadystate_ptc_splitdae with step_callbacks keyword argument:

step_callbacks = [restart_small_values_callback]
source
PALEOmodel.SteadyState.CheckValuesCallback — Type
CheckValuesCallback(
+    stateexplicit::PB.VariableAggregator; 
+    include_variables::Vector{String} = String[v.domain.name*"."*v.name for v in stateexplicit.vars],
+    exclude_variables::Vector{String} = String[],
+    check_min_threshold=-Inf,
+    check_max_threshold=Inf,
+) -> cvc

Provides a callback function with signature

cvc(state, tmodel, deltat, model, modeldata)::Bool

that checks variables have check_min_threshold < values < check_max_threshold.

Example

check_min_values_callback = PALEOmodel.SteadyState.CheckValuesCallback(
+    modeldata.solver_view_all.stateexplicit;
+    check_min_value = 1e-80,
+)

then add to eg steadystate_ptc_splitdae with check_callbacks keyword argument:

check_callbacks = [check_min_values_callback]
source

Steady-state solvers (Sundials Kinsol based):

PALEOmodel.SteadyStateKinsol.steadystate_ptc — Function
steadystate_ptc(run, initial_state, modeldata, tspan, deltat_initial; 
+    [,deltat_fac=2.0] [,saveat] [,outputwriter] [,createkwargs] [,solvekwargs]
+    [, use_jac_preconditioner] [,jac_cellranges] [, use_directional_ad] [, directional_ad_eltypestomap]
+    [,verbose] [,  BLAS_num_threads]
+)

Find steady-state solution and write to outputwriter, using naive pseudo-transient-continuation with first order implicit Euler pseudo-timesteps and PALEOmodel.Kinsol as the non-linear solver.

Each pseudo-timestep solves the nonlinear system S(t+Δt) = S(t) + Δt dS/dt(t+Δt) for S(t+Δt), using a variant of Newton's method (preconditioned Newton-Krylov, with the Jacobian as preconditioner)

Initial pseudo-timestep Δt is deltat_initial, this is multiplied by deltat_fac for the next iteration until pseudo-time tss_max is reached. If an iteration fails, Δt is divided by deltat_fac and the iteration retried.

NB: this is a very naive initial implementation, there is currently no reliable error control to adapt pseudo-timesteps to the rate of convergence, so requires some trial-and-error to set an appropiate deltat_fac for each problem.

Solver PALEOmodel.Kinsol options are set by arguments createkwargs (passed through to PALEOmodel.Kinsol.kin_create) and solvekwargs (passed through to PALEOmodel.Kinsol.kin_solve).

If use_jac_ad_preconditioner is true, the AD Jacobian is used as preconditioner. The preconditioner (Jacobian) calculation can be modified by jac_cellranges, to specify a operatorIDs so use only a subset of Reactions in order to calculate an approximate Jacobian to use as the preconditioner.

If use_directional_ad is true, the Jacobian-vector product will be calculated using automatic differentiation (instead of the default finite difference approximation). directional_ad_eltypestomap can be used to specify Variable :datatype tags (strings) that should be mapped to the AD directional derivative datatype hence included in the AD directional derivative.

source
PALEOmodel.Kinsol.kin_create — Function
kin_create(f, y0 [; kwargs...]) -> kin

Create and return a kinsol solver context kin, which can then be passed to kin_solve

Arguments

  • f: Function of form f(fy::Vector{Float64}, y::Vector{Float64}, userdata)
  • y0::Vector template Vector of initial values (used only to define problem dimension)

Keywords

  • userdata: optional user data, passed through to f etc.
  • linear_solver: linear solver to use (only partially implemented, supports :Dense, :Band, :FGMRES)
  • psolvefun: optional preconditioner solver function (for :FGMRES)
  • psetupfun: optional preconditioner setup function
  • jvfun: optional Jacobian*vector function (for :FGMRES)
source
PALEOmodel.Kinsol.kin_solve — Function
kin_solve(
+    kin, y0::Vector;
+    [strategy] [, fnormtol] [, mxiter] [, print_level] [,y_scale] [, f_scale] [, noInitSetup]
+) -> (y, kin_stats)

Solve nonlinear system using kinsol solver context kin (created by kin_create) and initial conditions y0. Returns solution y and solver statistics kinstats. kinstats.returnflag indicates success/failure.

source

Fixed timestep solvers

PALEO native fixed-timestep, first-order Euler integrators, with split-explicit and multi-threaded options. These are usually appropriate for larger biogeochemical models (eg ocean models using GCM transport matrices).

The low-level timestepping is provided by integrateFixed and integrateFixedthreads, with higher-level wrappers for common options provided by integrateEuler etc.

High-level wrappers

PALEOmodel.ODEfixed.integrateEuler — Function
integrateEuler(run, initial_state, modeldata, tspan, Δt [; kwargs])

Integrate run.model from initial_state using first-order Euler with fixed timestep.

Calls integrateFixed

Arguments

  • run::Run: struct with model::PB.Model to integrate and output field
  • initial_state::AbstractVector: initial state vector
  • modeldata::Modeldata: ModelData struct with appropriate element type for forward model
  • tspan: (tstart, toutput1, toutput2, ..., tstop) integration start, output, stop times
  • Δt: (yr) fixed timestep

Keywords

  • outputwriter::PALEOmodel.AbstractOutputWriter=run.output: container to write model output to
  • report_interval=1000: number of timesteps between progress update to console
source
PALEOmodel.ODEfixed.integrateSplitEuler — Function
integrateSplitEuler(run, initial_state, modeldata, tspan, Δt_outer, n_inner;
+                        cellranges_outer, cellranges_inner,
+                        [,outputwriter])

Integrate run.model representing:

\[\frac{dS}{dt} = f_{outer}(t, S) + f_{inner}(t, S)\]

using split first-order Euler with Δt_outer for f_outer and a shorter timestep Δt_outer/n_inner for f_inner.

f_outer is defined by calling PALEOboxes.do_deriv with cellranges_outer hence corresponds to those Reactions with operatorID of cellranges_outer. f_inner is defined by calling PALEOboxes.do_deriv with cellranges_inner hence corresponds to those Reactions with operatorID of cellranges_inner.

NB: the combined time derivative is written to outputwriter.

Arguments

  • run::Run: struct with model::PB.Model to integrate and output field
  • initial_state::AbstractVector: initial state vector
  • modeldata::Modeldata: ModelData struct with appropriate element type for forward model
  • tspan: (tstart, toutput1, toutput2, ..., tstop) integration start, output, stop times
  • Δt_outer: (yr) fixed outer timestep
  • n_inner: number of inner timesteps per outer timestep

Keywords

  • cellranges_outer: Vector of CellRange with operatorID defining f_outer.
  • cellranges_inner: Vector of CellRange with operatorID defining f_inner.
  • outputwriter::PALEOmodel.AbstractOutputWriter=run.output: container to write model output to
  • report_interval=1000: number of outer timesteps between progress update to console
source
PALEOmodel.ODEfixed.integrateEulerthreads — Function
integrateEulerthreads(run, initial_state, modeldata, cellranges, tspan, Δt;
+    outputwriter=run.output, report_interval=1000)

Integrate run.model using first-order Euler with fixed timestep Δt, with tiling over multiple threads.

Arguments

  • run::Run: struct with model::PB.Model to integrate and output field
  • initial_state::AbstractVector: initial state vector
  • modeldata::Modeldata: ModelData struct with appropriate element type for forward model
  • cellranges::Vector{Vector{AbstractCellRange}}: Vector of Vector-of-cellranges, one per thread (so length(cellranges) == Threads.nthreads).
  • tspan: (tstart, toutput1, toutput2, ..., tstop) integration start, output, stop times
  • Δt: (yr) fixed outer timestep

Keywords

  • outputwriter::PALEOmodel.AbstractOutputWriter=run.output: container to write model output to
  • report_interval=1000: number of outer timesteps between progress update to console
source
PALEOmodel.ODEfixed.integrateSplitEulerthreads — Function
integrateSplitEulerthreads(run, initial_state, modeldata, tspan, Δt_outer, n_inner::Int; 
+                            cellranges_outer, cellranges_inner, [,outputwriter] [, report_interval])

Integrate run.model using split first-order Euler with Δt_outer for f_outer and a shorter timestep Δt_outer/n_inner for f_inner.

f_outer is defined by calling PALEOboxes.do_deriv with cellrange_outer hence corresponds to those Reactions with operatorID of cellrange_outer. f_inner is defined by calling PALEOboxes.do_deriv with cellrange_inner hence corresponds to those Reactions with operatorID of cellrange_inner.

Uses Threads.nthreads threads and tiling described by cellranges_inner and cellranges_outer (each a Vector of Vector{AbstractCellRange}, one per thread).

Arguments

  • run::Run: struct with model::PB.Model to integrate and output field
  • initial_state::AbstractVector: initial state vector
  • modeldata::Modeldata: ModelData struct with appropriate element type for forward model
  • tspan: (tstart, toutput1, toutput2, ..., tstop) integration start, output, stop times
  • Δt_outer: (yr) fixed outer timestep
  • n_inner: number of inner timesteps per outer timestep (0 for non-split solver)

Keywords

  • cellranges_outer::Vector{Vector{AbstractCellRange}}: Vector of list-of-cellranges, one list per thread (so length(cellranges) == Threads.nthreads), with operatorID defining f_outer.
  • cellranges_inner::Vector{Vector{AbstractCellRange}}: As cellranges_outer, with operatorID defining f_inner.
  • outputwriter::PALEOmodel.AbstractOutputWriter=run.output: container to write model output to
  • report_interval=1000: number of outer timesteps between progress update to console
source
PALEOmodel.ODELocalIMEX.integrateLocalIMEXEuler — Function
integrateLocalIMEXEuler(run, initial_state, modeldata, tspan, Δt_outer [; kwargs...])

Integrate run.model representing:

\[\frac{dS}{dt} = f_{outer}(t, S) + f_{inner}(t, S)\]

using first-order Euler with Δt_outer for f_outer and implicit first-order Euler for f_inner, where f_inner is local (within-cell, ie no transport), for a single Domain, and uses only StateExplicit and Deriv variables.

f_outer is defined by calling PALEOboxes.do_deriv with cellranges_outer hence corresponds to those Reactions with operatorID of cellranges_outer. f_inner is defined by calling PALEOboxes.do_deriv with cellrange_inner hence corresponds to those Reactions with operatorID of cellrange_inner.

NB: the combined time derivative is written to outputwriter.

Arguments

  • run::Run: struct with model::PB.Model to integrate and output field
  • initial_state::AbstractVector: initial state vector
  • modeldata::Modeldata: ModelData struct with appropriate element type for forward model
  • tspan: (tstart, toutput1, toutput2, ..., tstop) integration start, output, stop times
  • Δt_outer: (yr) fixed timestep

Keywords

  • cellranges_outer: Vector of CellRange with operatorID defining f_outer.
  • cellrange_inner: A single CellRange with operatorID defining f_inner.
  • exclude_var_nameroots: State variables that are modified by Reactions in cellrange_inner, but not needed to find implicit solution (ie reaction rates etc don't depend on them).
  • [outputwriter=run.output: PALEOmodel.AbstractOutputWriter instance to write model output to]
  • [report_interval=1000: number of outer timesteps between progress update to console]
  • [Lnorm_inf_max=1e-3: normalized error tolerance for implicit solution]
  • [niter_max=10]: maximum number of Newton iterations
  • [request_adchunksize=4]: request ForwardDiff AD chunk size (will be restricted to an upper limit)
source

Low-level timesteppers

PALEOmodel.ODEfixed.integrateFixed — Function
integrateFixed(run, initial_state, modeldata, tspan, Δt_outer;
+            timesteppers, outputwriter=run.output, report_interval=1000)

Fixed timestep integration, with time step implemented by timesteppers,

`timesteppers = [ [(timestep_function, cellranges, timestep_ctxt), ...], ...]`

Where timestep_function(model, modeldata, cellranges, timestep_ctxt, touter, Δt, barrier)

source
PALEOmodel.ODEfixed.integrateFixedthreads — Function
integrateFixedthreads(run, initial_state, modeldata, tspan, Δt_outer;
+            timesteppers, outputwriter=run.output, report_interval=1000)

Fixed timestep integration using Threads.nthreads() threads, with time step implemented by timesteppers,

`timesteppers = [ [(timestep_function, cellranges, timestep_ctxt), ... (1 per thread)], ...]`

Where timestep_function(model, modeldata, cellranges, timestep_ctxt, touter, Δt, barrier).

source

Thread barriers

PALEOmodel.ThreadBarriers.ThreadBarrierAtomic — Type
ThreadBarrierAtomic

Thread synchronisation barrier for Threads.nthreads() Julia Threads. Uses a pair of Atomic variables to avoid the need for locks. Resets so can be reused.

Example:

barrier = ThreadBarrierAtomic("my barrier")    
+Threads.@threads for t in 1:Threads.nthreads()  
+    # do stuff
+    
+    wait_barrier(barrier)  # blocks until all threads reach this point
+
+    # do more stuff
+end
source
PALEOmodel.ThreadBarriers.ThreadBarrierCond — Type
ThreadBarrierCond

Thread synchronisation barrier for Threads.nthreads() Julia Threads using Condition variable and associated lock. Resets so can be reused.

NB: testing on Julia 1.6 suggests this is slow.

Example:

barrier = ThreadBarrierCond("my barrier")    
+Threads.@threads for t in 1:Threads.nthreads()  
+    # do stuff
+    
+    wait_barrier(barrier)  # blocks until all threads reach this point
+
+    # do more stuff
+end

Implementation:

Uses a condition variable (with associated lock) and a counter. See eg http://web.eecs.utk.edu/~huangj/cs360/360/notes/CondVar/lecture.html

source

Variable aggregation

A SolverView uses a collection of PALEOboxes.VariableAggregators to assemble model state Variables and associated time derivatives into contiguous Vectors, for the convenience of standard numerical ODE / DAE solvers. See Mathematical formulation of the reaction-transport problem.

PALEOmodel.SolverView — Type
SolverView(model, modeldata, arrays_idx; [verbose=true]) 
+SolverView(model, modeldata, cellranges; [verbose=false], [indices_from_cellranges=true])

Provides a view on the whole or some part of the Model for a numerical solver.

Contains PALEOboxes.VariableAggregators for a subset of spatial locations, defining state variables S_all composed of subsets stateexplicit (S_e), statetotal (S_t) and state (S_a).

Differential and algebraic constraints are provided by:

  • ODE paired stateexplicit (S_e) and stateexplicit_deriv (dS_e/dt), where dS_e/dt = F(S_all).
  • Implicit-ODE paired total (T) and total_deriv (dT/dt), where dT(S_all)/dt = F(S_all), This implicitly determines the time derivative dS_t/dt, as dT(S_all)/dt = dT(S_all)/dS_all * dS_all/dt. The number of total (T) variables must equal the number of statetotal variables S_t.
  • Algebraic constraints (C), where C(S_all) = 0 and the number of constraint Variables C must equal the number of state variables S_a.

If there are either no total (T) variables, or they are functions T(S_e, S_t) only of S_e and S_t (not of S_a), then the state variables can be partitioned into subsets of differential variables S_d (consisting of stateexplicit (S_e) and statetotal (S_t)), and algebraic variables state (S_a).

The available choice of numerical solvers depends on the types of state variables in the model configuration:

  • A system with only stateexplicit (S_e) variables can be solved by an ODE solver (eg as a SciML ODEProblem by PALEOmodel.ODE.integrate).
  • Some ODE solvers (those that support a constant mass matrix on the LHS) can also solve systems with constraints C (eg as a SciML ODEProblem by PALEOmodel.ODE.integrate).
  • A DAE solver such as Sundials IDA is required to solve systems with implicit total (T) variables (eg as a SciML DAEProblem by PALEOmodel.ODE.integrateDAE). NB: arbitrary combinations of total (T) and constraint (C) variables are not supported by Sundials IDA via PALEOmodel.ODE.integrateDAE, as the IDA solver option used to find consistent initial conditions requires a partioning into differential and algebraic variables as described above.

Optional access methods provide an ODE/DAE solver view with composite statevar and statevar_sms,where:

- `statevar` is a concatenation of `stateexplicit`, `statetotal`, and `state` ([`set_statevar!`](@ref))
+- `statevar_sms` is a concatenation of `stateexplicit_deriv`, `total_deriv`, `constraints` ([`get_statevar_sms!`](@ref))

Constructors create a SolverView for the entire model from modeldata array set arrays_idx, or for a subset of Model Variables defined by the Domains and operatorIDs of cellranges.

Keywords

  • indices_from_cellranges=true: true to restrict to the index ranges from cellranges, false to just use cellranges to define Domains

and take the whole of each Domain.

  • hostdep_all=true: true to include host dependent not-state Variables from all Domains
  • reallocate_hostdep_eltype=Float64: a data type to reallocate hostdep Variables eg to replace any

AD types.

source
PALEOmodel.set_default_solver_view! — Function
set_default_solver_view!(model, modeldata)

(Optional, used to set modeldata.solver_view_all to a SolverView) for the whole model, and set modeldata.hostdep_data to any non-state-variable host dependent Variables)

reallocate_hostdep_eltype a data type to reallocate hostdep_data eg to replace any AD types.

source

Function objects

Function objects are callable structs with function signatures required by DifferentialEquations or other solvers to calculate model time derivative, Jacobian, etc. They combine variable aggregation (using PALEOboxes.VariableAggregators or PALEOmodel.SolverView) with corresponding Reaction dispatch lists.

ODE function objects

PALEOmodel.SolverFunctions.ModelODE — Type
ModelODE(
+    modeldata, [parameter_aggregator]; 
+    solver_view=modeldata.solver_view_all,
+    dispatchlists=modeldata.dispatchlists_all
+) -> f::ModelODE

Function object to calculate model time derivative and adapt to SciML ODE solver interface

Call as f(du,u, p, t)

source
PALEOmodel.SolverFunctions.JacODEForwardDiffDense — Type
JacODEForwardDiffDense(
+    modeldata; 
+    solver_view=modeldata.solver_view_all,
+    dispatchlists=modeldata.dispatchlists_all,
+    du_template, 
+    jacconf,
+) -> jac::JacODEForwardDiffDense
+
+JacODEForwardDiffDense_p(
+    modeldata, pa::PB.ParameterAggregator; 
+    solver_view=modeldata.solver_view_all,
+    dispatchlists=modeldata.dispatchlists_all,
+    du_template, 
+    jacconf,
+) -> jac::JacODEForwardDiffDense_p

Function object to calculate dense Jacobian in form required for SciML ODE solver.

solver_view, dispatchlists should correspond to modeldata, which should have the appropriate element type for ForwardDiff Dual numbers.

Call as jac(J, u, p, t)

source
PALEOmodel.SolverFunctions.JacODEForwardDiffSparse — Type
JacODEForwardDiffSparse(
+    modeldata; 
+    solver_view=modeldata.solver_view_all,
+    dispatchlists=modeldata.dispatchlists_all,
+    du_template,
+    throw_on_nan, 
+    jac_cache,
+) -> jac::JacODEForwardDiffSparse

Function object to calculate sparse Jacobian in form required for SciML ODE solver.

solver_view, dispatchlists should correspond to modeldata, which should have the appropriate element type for ForwardDiff Dual numbers.

Call as jac(J, u, p, t)

source

DAE function objects

PALEOmodel.SolverFunctions.ModelDAE — Type
ModelDAE

Function object to calculate model residual G and adapt to SciML DAE solver interface.

If using Total variables, odeimplicit should be an ImplicitForwardDiffDense or ImplicitForwardDiffSparse, otherwise nothing.

Provides function signature:

(fdae::ModelDAE)(G, dsdt, s, p, t)

where residual G(dsdt,s,p,t) is:

  • -dsdt + F(s) (for ODE-like state Variables s with time derivative F given explicitly in terms of s)
  • F(s) (for algebraic constraints)
  • duds*dsdt + F(s, u(s)) (for Total variables u that depend implicitly on state Variables s)
source
diff --git a/v0.16.1/References/index.html b/v0.16.1/References/index.html new file mode 100644 index 0000000..a926699 --- /dev/null +++ b/v0.16.1/References/index.html @@ -0,0 +1,2 @@ + +References · PALEOmodel Documentation
GitHub
diff --git a/v0.16.1/assets/documenter.js b/v0.16.1/assets/documenter.js new file mode 100644 index 0000000..7d68cd8 --- /dev/null +++ b/v0.16.1/assets/documenter.js @@ -0,0 +1,1082 @@ +// 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 ? 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+$(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); + }; +} + +/////// SEARCH MAIN /////// + +function runSearchMainCode() { + // `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)); + + // 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: + ${str} +
`; + } +} + +function waitUntilSearchIndexAvailable() { + // It is possible that the documenter.js script runs before the page + // has finished loading and documenterSearchIndex gets defined. + // So we need to wait until the search index actually loads before setting + // up all the search-related stuff. + if (typeof documenterSearchIndex !== "undefined") { + runSearchMainCode(); + } else { + console.warn("Search Index not available, waiting"); + setTimeout(waitUntilSearchIndexAvailable, 1000); + } +} + +// The actual entry point to the search code +waitUntilSearchIndexAvailable(); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// 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 = ` + + `; + + $(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/v0.16.1/assets/themes/catppuccin-frappe.css b/v0.16.1/assets/themes/catppuccin-frappe.css new file mode 100644 index 0000000..32e3f00 --- /dev/null +++ b/v0.16.1/assets/themes/catppuccin-frappe.css @@ -0,0 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td,html.theme--catppuccin-frappe table th{vertical-align:top}html.theme--catppuccin-frappe table td:not([align]),html.theme--catppuccin-frappe table th:not([align]){text-align:inherit}html.theme--catppuccin-frappe table th{color:#b0bef1}html.theme--catppuccin-frappe .box{background-color:#51576d;border-radius:8px;box-shadow:none;color:#c6d0f5;display:block;padding:1.25rem}html.theme--catppuccin-frappe a.box:hover,html.theme--catppuccin-frappe a.box:focus{box-shadow:0 0.5em 1em -0.125em rgba(10,10,10,0.1),0 0 0 1px #8caaee}html.theme--catppuccin-frappe a.box:active{box-shadow:inset 0 1px 2px rgba(10,10,10,0.2),0 0 0 1px #8caaee}html.theme--catppuccin-frappe .button{background-color:#292c3c;border-color:#484d69;border-width:1px;color:#8caaee;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--catppuccin-frappe .button strong{color:inherit}html.theme--catppuccin-frappe .button .icon,html.theme--catppuccin-frappe .button .icon.is-small,html.theme--catppuccin-frappe .button #documenter .docs-sidebar form.docs-search>input.icon,html.theme--catppuccin-frappe #documenter .docs-sidebar .button form.docs-search>input.icon,html.theme--catppuccin-frappe .button .icon.is-medium,html.theme--catppuccin-frappe .button .icon.is-large{height:1.5em;width:1.5em}html.theme--catppuccin-frappe .button .icon:first-child:not(:last-child){margin-left:calc(-0.5em - 1px);margin-right:.25em}html.theme--catppuccin-frappe .button .icon:last-child:not(:first-child){margin-left:.25em;margin-right:calc(-0.5em - 1px)}html.theme--catppuccin-frappe .button .icon:first-child:last-child{margin-left:calc(-0.5em - 1px);margin-right:calc(-0.5em - 1px)}html.theme--catppuccin-frappe .button:hover,html.theme--catppuccin-frappe .button.is-hovered{border-color:#737994;color:#b0bef1}html.theme--catppuccin-frappe 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.button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light:hover,html.theme--catppuccin-frappe 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.button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-frappe 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.button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-dark,html.theme--catppuccin-frappe .content kbd.button{background-color:#414559;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-dark:hover,html.theme--catppuccin-frappe .content kbd.button:hover,html.theme--catppuccin-frappe .button.is-dark.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-hovered{background-color:#3c3f52;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-dark:focus,html.theme--catppuccin-frappe .content kbd.button:focus,html.theme--catppuccin-frappe .button.is-dark.is-focused,html.theme--catppuccin-frappe .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe 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.button.is-link.is-light.is-hovered{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:active,html.theme--catppuccin-frappe .button.is-link.is-light.is-active{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:hover,html.theme--catppuccin-frappe .button.is-info.is-hovered{background-color:#78c4b9;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus,html.theme--catppuccin-frappe .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus:not(:active),html.theme--catppuccin-frappe .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(129,200,190,0.25)}html.theme--catppuccin-frappe 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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) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-light{background-color:#f1f9f8;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:hover,html.theme--catppuccin-frappe .button.is-info.is-light.is-hovered{background-color:#e8f5f3;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:active,html.theme--catppuccin-frappe .button.is-info.is-light.is-active{background-color:#dff1ef;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-success{background-color:#a6d189;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:hover,html.theme--catppuccin-frappe .button.is-success.is-hovered{background-color:#9fcd80;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:focus,html.theme--catppuccin-frappe .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:focus:not(:active),html.theme--catppuccin-frappe .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,209,137,0.25)}html.theme--catppuccin-frappe .button.is-success:active,html.theme--catppuccin-frappe .button.is-success.is-active{background-color:#98ca77;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success{background-color:#a6d189;border-color:#a6d189;box-shadow:none}html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-focused{background-color:#a6d189;border-color:#a6d189;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-light{background-color:#f4f9f0;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:hover,html.theme--catppuccin-frappe .button.is-success.is-light.is-hovered{background-color:#edf6e7;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:active,html.theme--catppuccin-frappe .button.is-success.is-light.is-active{background-color:#e6f2de;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:hover,html.theme--catppuccin-frappe .button.is-warning.is-hovered{background-color:#e3c386;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus,html.theme--catppuccin-frappe .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus:not(:active),html.theme--catppuccin-frappe .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(229,200,144,0.25)}html.theme--catppuccin-frappe .button.is-warning:active,html.theme--catppuccin-frappe .button.is-warning.is-active{background-color:#e0be7b;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:#e5c890;box-shadow:none}html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-focused{background-color:#e5c890;border-color:#e5c890;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-light{background-color:#fbf7ee;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:hover,html.theme--catppuccin-frappe .button.is-warning.is-light.is-hovered{background-color:#f9f2e4;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:active,html.theme--catppuccin-frappe .button.is-warning.is-light.is-active{background-color:#f6edda;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:hover,html.theme--catppuccin-frappe .button.is-danger.is-hovered{background-color:#e57779;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus,html.theme--catppuccin-frappe .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus:not(:active),html.theme--catppuccin-frappe .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(231,130,132,0.25)}html.theme--catppuccin-frappe .button.is-danger:active,html.theme--catppuccin-frappe .button.is-danger.is-active{background-color:#e36d6f;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:#e78284;box-shadow:none}html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-focused{background-color:#e78284;border-color:#e78284;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-light{background-color:#fceeee;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:hover,html.theme--catppuccin-frappe .button.is-danger.is-light.is-hovered{background-color:#fae3e4;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:active,html.theme--catppuccin-frappe .button.is-danger.is-light.is-active{background-color:#f8d8d9;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-frappe .button.is-small:not(.is-rounded),html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .button.is-normal{font-size:1rem}html.theme--catppuccin-frappe .button.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .button.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .button[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button{background-color:#737994;border-color:#626880;box-shadow:none;opacity:.5}html.theme--catppuccin-frappe .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-frappe .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-frappe .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-frappe .button.is-static{background-color:#292c3c;border-color:#626880;color:#838ba7;box-shadow:none;pointer-events:none}html.theme--catppuccin-frappe .button.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-frappe .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-frappe .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-frappe .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-frappe .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-frappe .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-frappe .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-frappe .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-frappe .buttons.has-addons .button:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-frappe .buttons.has-addons .button:focus,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused,html.theme--catppuccin-frappe .buttons.has-addons .button:active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-frappe .buttons.has-addons .button:focus:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-frappe .buttons.has-addons .button:active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-frappe .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .buttons.is-centered{justify-content:center}html.theme--catppuccin-frappe .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-frappe .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-frappe .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-frappe .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-frappe .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-frappe .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-frappe .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-frappe .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-frappe .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-frappe .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-frappe .content li+li{margin-top:0.25em}html.theme--catppuccin-frappe .content p:not(:last-child),html.theme--catppuccin-frappe .content dl:not(:last-child),html.theme--catppuccin-frappe .content ol:not(:last-child),html.theme--catppuccin-frappe .content ul:not(:last-child),html.theme--catppuccin-frappe .content blockquote:not(:last-child),html.theme--catppuccin-frappe .content pre:not(:last-child),html.theme--catppuccin-frappe .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-frappe .content h1,html.theme--catppuccin-frappe .content h2,html.theme--catppuccin-frappe .content h3,html.theme--catppuccin-frappe .content h4,html.theme--catppuccin-frappe .content h5,html.theme--catppuccin-frappe .content h6{color:#c6d0f5;font-weight:600;line-height:1.125}html.theme--catppuccin-frappe .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-frappe .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-frappe .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-frappe .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-frappe .content 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 .image.is-3by2,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by2{padding-top:66.6666%}html.theme--catppuccin-frappe .image.is-5by3,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by3{padding-top:60%}html.theme--catppuccin-frappe .image.is-16by9,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-16by9{padding-top:56.25%}html.theme--catppuccin-frappe .image.is-2by1,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by1{padding-top:50%}html.theme--catppuccin-frappe .image.is-3by1,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by1{padding-top:33.3333%}html.theme--catppuccin-frappe .image.is-4by5,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by5{padding-top:125%}html.theme--catppuccin-frappe .image.is-3by4,html.theme--catppuccin-frappe #documenter .docs-sidebar 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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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kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-primary,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:hover,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#335476;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink{border-color:transparent;color:#fff}html.theme--documenter-dark 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html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fbefef;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#f8e6e5;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#f6dcda;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark 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.navbar-link .icon:only-child{margin-left:-0.25rem;margin-right:-0.25rem}html.theme--documenter-dark a.navbar-item,html.theme--documenter-dark .navbar-link{cursor:pointer}html.theme--documenter-dark a.navbar-item:focus,html.theme--documenter-dark a.navbar-item:focus-within,html.theme--documenter-dark a.navbar-item:hover,html.theme--documenter-dark a.navbar-item.is-active,html.theme--documenter-dark .navbar-link:focus,html.theme--documenter-dark .navbar-link:focus-within,html.theme--documenter-dark .navbar-link:hover,html.theme--documenter-dark .navbar-link.is-active{background-color:rgba(0,0,0,0);color:#1abc9c}html.theme--documenter-dark .navbar-item{flex-grow:0;flex-shrink:0}html.theme--documenter-dark .navbar-item img{max-height:1.75rem}html.theme--documenter-dark .navbar-item.has-dropdown{padding:0}html.theme--documenter-dark .navbar-item.is-expanded{flex-grow:1;flex-shrink:1}html.theme--documenter-dark .navbar-item.is-tab{border-bottom:1px solid 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body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--documenter-dark a.navbar-item.is-active,html.theme--documenter-dark .navbar-link.is-active{color:#1abc9c}html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover),html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--documenter-dark .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--documenter-dark .pagination{font-size:1rem;margin:-.25rem}html.theme--documenter-dark .pagination.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}html.theme--documenter-dark 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+ Maintainer: @highlightjs/core-team + Website: https://highlightjs.org/ + License: see project LICENSE + Touched: 2021 +*/pre code.hljs{display:block;overflow-x:auto;padding:1em}code.hljs{padding:3px 5px}.hljs{background:#F3F3F3;color:#444}.hljs-comment{color:#697070}.hljs-tag,.hljs-punctuation{color:#444a}.hljs-tag .hljs-name,.hljs-tag .hljs-attr{color:#444}.hljs-keyword,.hljs-attribute,.hljs-selector-tag,.hljs-meta .hljs-keyword,.hljs-doctag,.hljs-name{font-weight:bold}.hljs-type,.hljs-string,.hljs-number,.hljs-selector-id,.hljs-selector-class,.hljs-quote,.hljs-template-tag,.hljs-deletion{color:#880000}.hljs-title,.hljs-section{color:#880000;font-weight:bold}.hljs-regexp,.hljs-symbol,.hljs-variable,.hljs-template-variable,.hljs-link,.hljs-selector-attr,.hljs-operator,.hljs-selector-pseudo{color:#ab5656}.hljs-literal{color:#695}.hljs-built_in,.hljs-bullet,.hljs-code,.hljs-addition{color:#397300}.hljs-meta{color:#1f7199}.hljs-meta .hljs-string{color:#38a}.hljs-emphasis{font-style:italic}.hljs-strong{font-weight:bold}.gap-4{gap:1rem} diff --git a/v0.16.1/assets/themeswap.js b/v0.16.1/assets/themeswap.js new file mode 100644 index 0000000..9f5eebe --- /dev/null +++ b/v0.16.1/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/v0.16.1/assets/warner.js b/v0.16.1/assets/warner.js new file mode 100644 index 0000000..3f6f5d0 --- /dev/null +++ b/v0.16.1/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/v0.16.1/index.html b/v0.16.1/index.html new file mode 100644 index 0000000..a628060 --- /dev/null +++ b/v0.16.1/index.html @@ -0,0 +1,2 @@ + +PALEOmodel.jl · PALEOmodel Documentation
GitHub

PALEOmodel.jl

The PALEOmodel Julia package provides modules to create and solve a standalone PALEOboxes.Model, and to analyse output interactively from the Julia REPL. It implements:

For examples and further information see the documentation for other PALEOtoolkit components and repositories:

PALEO documentation follows the recommendations from https://documentation.divio.com/

diff --git a/v0.16.1/indexpage/index.html b/v0.16.1/indexpage/index.html new file mode 100644 index 0000000..6091803 --- /dev/null +++ b/v0.16.1/indexpage/index.html @@ -0,0 +1,2 @@ + +Index · PALEOmodel Documentation
GitHub

Index

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This is applied afer the default initialisation, hence can be used to (re)initialise a subset of model state variables.\n\nDataTypes for model arrays\n\nWith default arguments, the model arrays use Float64 as the element type. The eltype keyword argument can be used to specify a different Julia DataType, eg for use with automatic differentiation. Per-Variable DataType can be specified by using the :datatype Variable attribute to specify String-valued tags, in combination with the eltypemap keyword argument to provide a Dict of tag names => DataTypes. \n\nThread safety\n\nA thread-safe model can be created by setting the threadsafe=true global parameter in the YAML config file before calling PB.create_model_from_config (used by Reactions that require eg special handling of global accumulator variables to maintain thread safety), and supplying method_barrier (a thread barrier to add to ReactionMethod dispatch lists between dependency-free groups):\n\nmethod_barrier = PB.reaction_method_thread_barrier(\n PALEOmodel.ThreadBarriers.ThreadBarrierAtomic(\"the barrier\"),\n PALEOmodel.ThreadBarriers.wait_barrier\n)\n\nKeyword summary\n\npickup_output=nothing: OutputWriter with pickup data to initialise from\ncheck_units_opt=:no: check linked Variable units are consistent (:no to disable check, :warn to warn and continue, :error to error and stop)\neltype::Type=Float64: default data type to use for model arrays\neltypemap=Dict{String, DataType}(): Dict of data types to look up Variable :datatype attribute\nmethod_barrier=nothing: thread barrier to add to dispatch lists to create a thread-safe model\nexpect_hostdep_varnames=[\"global.tforce\"]: non-state-Variable host-dependent Variable names expected\nSolverView_all=true: true to create modeldata.solver_view_all\ncreate_dispatchlists_all=true: true to create modeldata.dispatchlists_all\ngenerated_dispatch=true: true to autogenerate code for modeldata.dispatchlists_all (fast dispatch, slow compile)\n\n\n\n\n\n[deprecated] initialize!(run::Run; kwargs...) -> (initial_state::Vector, modeldata::PB.ModelData)\n\nCall initialize! on run.model.\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#PALEOmodel.set_statevar_from_output!","page":"PALEOmodel solvers","title":"PALEOmodel.set_statevar_from_output!","text":"set_statevar_from_output!(modeldata, output::AbstractOutputWriter) -> initial_state\n\nInitialize model state Variables from last record in output\n\nNB: modeldata must contain solver_view_all\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#DifferentialEquations-solvers","page":"PALEOmodel solvers","title":"DifferentialEquations solvers","text":"","category":"section"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"Wrappers for the Julia DifferentialEquations package ODE and DAE solvers. These are usually appropriate for smaller biogeochemical models.","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"NB: see Managing small and negative values for best practices and common issues when using ODE or DAE solvers.","category":"page"},{"location":"PALEOmodelSolvers/#High-level-wrappers","page":"PALEOmodel solvers","title":"High level wrappers","text":"","category":"section"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"CurrentModule = PALEOmodel.ODE","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"integrate\nintegrateDAE","category":"page"},{"location":"PALEOmodelSolvers/#PALEOmodel.ODE.integrate","page":"PALEOmodel solvers","title":"PALEOmodel.ODE.integrate","text":"integrate(run, initial_state, modeldata, tspan [; kwargs...] ) -> sol::SciMLBase.ODESolution\nintegrateForwardDiff(run, initial_state, modeldata, tspan [;kwargs...]) -> sol::SciMLBase.ODESolution\n\nIntegrate run.model as an ODE or as a DAE with constant mass matrix, and write to outputwriter\n\nProvides a wrapper around the Julia SciML DifferentialEquations package ODE solvers, with PALEO-specific additional setup. Keyword arguments alg and solvekwargs are passed through to the DifferentialEquations solve method.\n\nintegrateForwardDiff sets keyword arguments jac_ad=:ForwardDiffSparse, alg=Sundials.CVODE_BDF(linear_solver=:KLU) to use the Julia ForwardDiff package to provide the Jacobian with forward-mode automatic differentiation and automatic sparsity detection.\n\nImplementation\n\nFollows the SciML standard pattern:\n\nCreate ODEfunction\nCreate SciMLBase.ODEproblem\nCall SciMLBase.solve\n\nand then \n\nCall print_sol_stats\nCall calc_output_sol! to recalculate model fields at timesteps used\n\nArguments\n\nrun::Run: struct with model::PB.Model to integrate and output field\ninitial_state::AbstractVector: initial state vector\nmodeldata::Modeldata: ModelData struct\ntspan: (tstart, tstop) integration start and stop times\n\nKeywords\n\nalg=Sundials.CVODE_BDF(): ODE algorithm to use, passed through to DifferentialEquations.jl solve method. The default is appropriate for a stiff system of equations (common in biogeochemical models), see https://diffeq.sciml.ai/dev/solvers/ode_solve/ for other options.\nsolvekwargs=NamedTuple(): NamedTuple of keyword arguments passed through to DifferentialEquations.jl solve (eg to set abstol, reltol, saveat, see https://diffeq.sciml.ai/dev/basics/common_solver_opts/)\noutputwriter=run.output: PALEOmodel.AbstractOutputWriter instance to hold output\njac_ad=:NoJacobian: Jacobian to generate and use (:NoJacobian, :ForwardDiffSparse, :ForwardDiff)\njac_ad_t_sparsity=tspan[1]: model time at which to calculate Jacobian sparsity pattern\nsteadystate=false: true to use DifferentialEquations.jl SteadyStateProblem (not recommended, see PALEOmodel.SteadyState.steadystate).\nBLAS_num_threads=1: number of LinearAlgebra.BLAS threads to use\ngenerated_dispatch=true: true to autogenerate code (fast solve, slow compile)\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#PALEOmodel.ODE.integrateDAE","page":"PALEOmodel solvers","title":"PALEOmodel.ODE.integrateDAE","text":"integrateDAE(run, initial_state, modeldata, tspan [; kwargs...]) -> sol::SciMLBase.DAESolution\nintegrateDAEForwardDiff(run, initial_state, modeldata, tspan [; kwargs...]) -> sol::SciMLBase.DAESolution\n\nIntegrate run.model as a DAE and copy output to outputwriter.\n\nProvides a wrapper around the Julia SciML DifferentialEquations package DAE solvers, with PALEO-specific additional setup. Keyword arguments alg and solvekwargs are passed through to the DifferentialEquations solve method.\n\nintegrateDAEForwardDiff sets keyword arguments jac_ad=:ForwardDiffSparse, alg=Sundials.IDA(linear_solver=:KLU) to use the Julia ForwardDiff package to provide the Jacobian with forward-mode automatic differentiation and automatic sparsity detection.\n\nLimitations\n\narbitrary combinations of implicit total (T) and algebraic constraint (C) variables are not supported by Sundials IDA \n\nas used here, as the IDA solver option used to find consistent initial conditions requires a partioning into differential and algebraic variables (see SolverView documentation).\n\nImplementation\n\nFollows the SciML standard pattern:\n\nCreate DAEfunction\nCall get_inconsistent_initial_deriv -> initial_deriv\nCreate SciMLBase.DAEproblem\nCall SciMLBase.solve\n\nand then \n\nCall print_sol_stats\nCall calc_output_sol! to recalculate model fields at timesteps used\n\nKeywords\n\nAs integrate, with defaults:\n\nalg=Sundials.IDA() (integrateDAE)\nalg=Sundials.IDA(linear_solver=:KLU) (integrateDAEForwardDiff)\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#Low-level-functions","page":"PALEOmodel solvers","title":"Low level functions","text":"","category":"section"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"CurrentModule = PALEOmodel","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"ODE functions:","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"ODE.ODEfunction\n\nJacobianAD.jac_config_ode\nJacobianAD.paramjac_config_ode","category":"page"},{"location":"PALEOmodelSolvers/#PALEOmodel.ODE.ODEfunction","page":"PALEOmodel solvers","title":"PALEOmodel.ODE.ODEfunction","text":"ODEfunction(model::PB.Model, modeldata [; kwargs]) -> SciMLBase.ODEFunction\n\nContruct SciML ODEfunction https://diffeq.sciml.ai/latest/ with PALEO-specific setup\n\nKeyword arguments are required to generate a Jacobian function (using automatic differentation).\n\nKeywords\n\njac_ad=:NoJacobian: Jacobian to generate and use (:NoJacobian, :ForwardDiffSparse, :ForwardDiff)\ninitial_state::AbstractVector: initial state vector\njac_ad_t_sparsity::Float64: model time at which to calculate Jacobian sparsity pattern\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#PALEOmodel.JacobianAD.jac_config_ode","page":"PALEOmodel solvers","title":"PALEOmodel.JacobianAD.jac_config_ode","text":"jac_config_ode(\n jac_ad, model, initial_state, modeldata, jac_ad_t_sparsity;\n kwargs...\n)-> (jac, jac_prototype::Union{Nothing, SparseMatrixCSC})\n\nCreate and return jac (ODE Jacobian function object), and jac_prototype (sparsity pattern as SparseMatrixCSC, or nothing for dense Jacobian)\n\njac_ad defines Jacobian type (:ForwardDiffSparse, :ForwardDiff)\n\nAdds an array set to modeldata with appropriate datatypes for ForwardDiff AD Dual numbers, sets up cache for ForwardDiff, calculates Jacobian sparsity (if required) at time jac_ad_t_sparsity.\n\nNB: there is a profusion of different Julia APIs here:\n\nForwardDiff Sparse and dense Jacobian use different APIs and have different cache setup requirements.\nForwardDiff requires f!(du, u) hence a closure or function object, DifferentialEquations allows context objects to be passed around.\n\nKeyword arguments\n\nparameter_aggregator::Union{Nothing, PB.ParameterAggregator}=nothing: provide Jacobian that supports parameters p as defined by parameter_aggregator\njac_cellranges=modeldata.cellranges_all: restrict Jacobian to this subset of Domains and Reactions (via operatorID).\nrequest_adchunksize=ForwardDiff.DEFAULT_CHUNK_THRESHOLD: chunk size for ForwardDiff automatic differentiation\nfill_jac_diagonal=true: (jac=:ForwardDiffSparse only) true to fill diagonal of jac_prototype\ngenerated_dispatch=true: true to autogenerate code for dispatch (fast dispatch, slow compile)\nthrow_on_nan=false: true to error if NaN detected in Jacobian\nuse_base_vars=String[]: additional Variable full names not calculated by Jacobian, which instead use arrays from modeldata base arrays (arrays_idx=1) instead of allocating new AD Variables\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#PALEOmodel.JacobianAD.paramjac_config_ode","page":"PALEOmodel solvers","title":"PALEOmodel.JacobianAD.paramjac_config_ode","text":"paramjac_config_ode(model::PB.Model, pa::PB.ParameterAggregator, modeldata::PB.ModelData; kwargs...)\n -> paramjac::ParamJacODEForwardDiffDense\n\nCreate parameter Jacobian function object paramjac to calculate (dense) parameter Jacobian using ForwardDiff.\n\nA set of model arrays of appropriate Dual number type is added to modeldata.\n\nKeyword arguments\n\nfilterT=nothing: enable optimisation for the case where only a small number of parameter indices contribute to paramjac at model time t - supply a function filterT(t) -> (pi_1, pi_2, ...) to specify the parameter indices.\nparamjac_cellranges=modeldata.cellranges_all: restrict Jacobian to this subset of Domains and Reactions (via operatorID).\nrequest_adchunksize=ForwardDiff.DEFAULT_CHUNK_THRESHOLD: chunk size for ForwardDiff automatic differentiation\ngenerated_dispatch=true: true to autogenerate code for dispatch (fast dispatch, slow compile)\nuse_base_vars=String[]: additional Variable full names not calculated by Jacobian, which instead use arrays from modeldata base arrays (arrays_idx=1) instead of allocating new AD Variables\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"DAE functions:","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"ODE.DAEfunction\nJacobianAD.jac_config_dae\nODE.get_inconsistent_initial_deriv","category":"page"},{"location":"PALEOmodelSolvers/#PALEOmodel.ODE.DAEfunction","page":"PALEOmodel solvers","title":"PALEOmodel.ODE.DAEfunction","text":"DAEfunction(model::PB.Model, modeldata [; kwargs]) -> SciMLBase.DAEFunction\n\nContruct SciML DAEfunction https://diffeq.sciml.ai/latest/ with PALEO-specific setup\n\nKeyword arguments are required to generate a Jacobian function (using automatic differentation).\n\nKeywords\n\njac_ad=:NoJacobian: Jacobian to generate and use (:NoJacobian, :ForwardDiffSparse, :ForwardDiff)\ninitial_state::AbstractVector: initial state vector\njac_ad_t_sparsity::Float64: model time at which to calculate Jacobian sparsity pattern\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#PALEOmodel.JacobianAD.jac_config_dae","page":"PALEOmodel solvers","title":"PALEOmodel.JacobianAD.jac_config_dae","text":"jac_config_dae(\n jac_ad, model, initial_state, modeldata, jac_ad_t_sparsity;\n kwargs...\n) -> (jac, jac_prototype, odeimplicit)\n\nSee jac_config_ode for keyword arguments.\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#PALEOmodel.ODE.get_inconsistent_initial_deriv","page":"PALEOmodel solvers","title":"PALEOmodel.ODE.get_inconsistent_initial_deriv","text":"get_inconsistent_initial_deriv(\n initial_state, modeldata, initial_t, differential_vars, modeldae::SolverFunctions.ModelDAE\n) -> initial_deriv\n\nNB: IDA initialisation seems not fully understood: with Julia Sundials.IDA(initall=false) (the Sundials.jl default) corresponding to the IDA option `IDAYAYDPINITtoIDACalcIC(), this should \"direct IDACalcIC() to compute the algebraic components of y and differential components of ydot, given the differential components of y.\" But it seems to have some sensitivity toinitial_deriv` (ydot), which shouldn't be used according to the above ?\n\nThis function takes a guess at what is needed for initial_deriv:\n\ninitial_deriv for ODE variables will now be consistent\nset initial_deriv (constraint for algebraic variables) = 0, this will not be satisfied (ie will not be consistent)\ninitial_deriv for implicit variables will not be consistent\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"Model solution:","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"ODE.print_sol_stats\nODE.calc_output_sol!","category":"page"},{"location":"PALEOmodelSolvers/#PALEOmodel.ODE.print_sol_stats","page":"PALEOmodel solvers","title":"PALEOmodel.ODE.print_sol_stats","text":"print_sol_stats(sol::SciMLBase.ODESolution)\nprint_sol_stats(sol::SciMLBase.DAESolution)\nprint_sol_stats(sol::SciMLBase.NonlinearSolution)\nprint_sol_stats(sol::SciMLBase.RODESolution)\n\nPrint solution statistics\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#PALEOmodel.ODE.calc_output_sol!","page":"PALEOmodel solvers","title":"PALEOmodel.ODE.calc_output_sol!","text":"calc_output_sol!(outputwriter, model::PB.Model, sol::SciMLBase.ODESolution, tspan, initial_state, modeldata)\ncalc_output_sol!(outputwriter, model::PB.Model, sol::SciMLBase.DAESolution, tspan, initial_state, modeldata)\ncalc_output_sol!(outputwriter, model::PB.Model, sol::SciMLBase.RODESolution, tspan, initial_state, modeldata)\ncalc_output_sol!(outputwriter, model::PB.Model, sol::SciMLBase.NonlinearSolution, tspan, initial_state, modeldata)\ncalc_output_sol!(outputwriter, model::PB.Model, tsoln::AbstractVector, soln::AbstractVector, modeldata)\n\nIterate through solution and recalculate model fields (functions of state variables and time) and store in outputwriter.\n\nArguments\n\noutputwriter::PALEOmodel.AbstractOutputWriter: container for output\nmodel::PB.Model used to calculate solution\nsol: SciML solution object\ntspan: (tstart, tstop) integration start and stop times\ninitial_state::AbstractVector: initial state vector\ntsoln::AbstractVector: solution times\nsoln::AbstractVector: solution state variables\nmodeldata::PB.Modeldata: ModelData struct\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#Steady-state-solvers-(Julia-[NLsolve](https://github.com/JuliaNLSolvers/NLsolve.jl)-based)","page":"PALEOmodel solvers","title":"Steady-state solvers (Julia NLsolve based)","text":"","category":"section"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"CurrentModule = PALEOmodel.SteadyState","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"steadystate\nsteadystate_ptc\nsteadystate_ptc_splitdae\nsolve_ptc","category":"page"},{"location":"PALEOmodelSolvers/#PALEOmodel.SteadyState.steadystate","page":"PALEOmodel solvers","title":"PALEOmodel.SteadyState.steadystate","text":"steadystate(run, initial_state, modeldata, tss [; kwargs...] )\nsteadystateForwardDiff(run, initial_state, modeldata, tss [; kwargs...] )\n\nFind steady-state solution (using NLsolve.jl package) and write to outputwriter (two records are written, for initial_state and the steady-state solution).\n\nsteadystateForwardDiff has default keyword argument jac_ad=:ForwardDiffSparse to use automatic differentiation for sparse Jacobian.\n\nArguments\n\nrun::Run: struct with model::PB.Model to integrate and output field\ninitial_state::AbstractVector: initial state vector\nmodeldata::Modeldata: ModelData struct with appropriate element type for forward model\ntss: (yr) model tforce time for steady state solution\n\nOptional Keywords\n\noutputwriter::PALEOmodel.AbstractOutputWriter=run.output: container to hold output\ninitial_time=-1.0: tmodel to write for first output record\nsolvekwargs=NamedTuple(): NamedTuple of keyword arguments passed through to NLsolve.jl (eg to set method, ftol, iteration, show_trace, store_trace).\njac_ad: :NoJacobian, :ForwardDiffSparse, :ForwardDiff\nBLAS_num_threads=1: number of LinearAlgebra.BLAS threads to use\ngenerated_dispatch=true: true to use autogenerated code (fast solve, slow compile)\n[Deprecated: use_norm=false: (must be false)]\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#PALEOmodel.SteadyState.steadystate_ptc","page":"PALEOmodel solvers","title":"PALEOmodel.SteadyState.steadystate_ptc","text":"steadystate_ptc(run, initial_state, modeldata, tspan, deltat_initial; kwargs...) \nsteadystate_ptcForwardDiff(run, initial_state, modeldata, tspan, deltat_initial; kwargs...)\n\nFind steady-state solution and write to outputwriter, using solve_ptc naive pseudo-transient-continuation with first order implicit Euler pseudo-timesteps.\n\nsteadystate_ptcForwardDiff sets keyword argument default jac_ad=:ForwardDiffSparse to use automatic differentiation for sparse Jacobian.\n\nArguments\n\nrun::Run: struct with model::PB.Model to integrate and output field\ninitial_state::AbstractVector: initial state vector\nmodeldata::Modeldata: ModelData struct with appropriate element type for forward model\ntspan: Vector or Tuple with (initial_time, final_time)\ndeltat_initial: initial pseudo-timestep\n\nKeywords in addition to those supported by solve_ptc:\n\njac_ad: AD Jacobian to use (steadystate_ptc default :NoJacobian, steadystate_ptcForwardDiff default :ForwardDiff)\nrequest_adchunksize=10: ForwardDiff chunk size to request.\njac_cellranges=modeldata.cellranges_all: CellRanges to use for Jacobian calculation (eg to restrict to an approximate Jacobian by using a cellrange with a non-default operatorID: in this case, Variables that are not calculated but needed for the Jacobian should set the transfer_jacobian attribute so that they will be copied)\ngenerated_dispatch=true: true for fast solve, slow compile.\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#PALEOmodel.SteadyState.steadystate_ptc_splitdae","page":"PALEOmodel solvers","title":"PALEOmodel.SteadyState.steadystate_ptc_splitdae","text":"steadystate_ptc_splitdae(run, initial_state, modeldata, tspan, deltat_initial; kwargs...)\n\nFind steady-state solution and write to outputwriter, using solve_ptc naive pseudo-transient-continuation with first order implicit Euler pseudo-timesteps, with inner Newton solve for per-cell DAE algebraic constraints (eg quasi-steady-state reaction intermediates)\n\nArguments\n\nrun::Run: struct with model::PB.Model to integrate and output field\ninitial_state::AbstractVector: initial state vector\nmodeldata::Modeldata: ModelData struct with appropriate element type for forward model\ntspan: Vector or Tuple with (initial_time, final_time)\ndeltat_initial: initial pseudo-timestep\n\nKeywords in addition to those supported by solve_ptc:\n\nrequest_adchunksize=10: ForwardDiff chunk size to request for outer Newton solve.\njac_cellranges=modeldata.cellranges_all: CellRanges to use for Jacobian calculation (eg to restrict to an approximate Jacobian by using a cellrange with a non-default operatorID: in this case, Variables that are not calculated but needed for the Jacobian should set the transfer_jacobian attribute so that they will be copied)\ngenerated_dispatch=true: true for fast solve, slow compile.\noperatorID_inner=3: operatorID for Reactions to run for inner solve (typically all reservoirs and chemical reactions)\ntransfer_inner_vars=[\"tmid\", \"volume\", \"ntotal\", \"Abox\"]: Variables not calculated by operatorID_inner that need to be copied for inner solve (additional to those with transfer_jacobian set).\ninner_jac_ad::Symbol=:ForwardDiff: form of automatic differentiation to use for Jacobian for inner NonlinearNewton.solve solver (options :ForwardDiff, :ForwardDiffSparse)\ninner_start::Symbol=:current: start value for inner solve (options :initial, :current, :zero)\ninner_kwargs::NamedTuple=(verbose=0, miniters=2, reltol=1e-12, jac_constant=true, project_region=identity): keywords for inner NonlinearNewton.solve solver.\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#PALEOmodel.SteadyState.solve_ptc","page":"PALEOmodel solvers","title":"PALEOmodel.SteadyState.solve_ptc","text":"solve_ptc(run, initial_state, nlsolveF, tspan, deltat_initial::Float64; kwargs...)\n\nPseudo-transient continuation using NLsolve.jl\n\nNot called directly: see steadystate_ptc, steadystate_ptc_splitdae\n\nFind the approximate time evolution or accurate steady-state solution for state variables S satisfying the ODE dS/dt = dSdt(S, t) , using naive pseudo-transient-continuation with first order implicit Euler pseudo-timesteps from tspan[1] to tspan[2] and NLsolve.jl as the non-linear solver. \n\nEach pseudo-timestep from time t to t+Δt uses a variant of Newton's method to solve the nonlinear system S_new = S(t) + Δt dSdt(S_new, t+Δt) for S_new = S(t+Δt).\n\nThe initial pseudo-timestep Δt is deltat_initial, this is multiplied by deltat_fac for the next iteration until pseudo-time tss_max is reached. If an iteration fails, Δt is divided by deltat_fac and the iteration retried. NB: this is a very naive initial implementation, there is currently no reliable error control to adapt pseudo-timesteps to the rate of convergence, so requires some trial-and-error to set an appropiate deltat_fac for each problem.\n\nSolver options to pass through to the outer NLsolve nonlinear solver are set by solvekwargs\n\nArguments\n\nrun::Run: struct with model::PB.Model to integrate and output field\ninitial_state::AbstractVector: initial state vector\nnlsolveF = (ssFJ!, nldf): function objects created by high-level wrapper.\ntspan: Vector or Tuple with (initial_time, final_time)\ndeltat_initial: initial pseudo-timestep\n\nKeyword Arguments\n\ndeltat_fac=2.0: factor to increase pseudo-timestep on success\n'dtmax=Inf': maximum pseudo-timestep\nsaveat=Float64[]: Vector of model pseudo-times at which to save output (empty Vector to save all output timesteps)\noutputwriter=run.output: container for output\nsolvekwargs=NamedTuple(): arguments to pass through to NLsolve\nmaxiters=1000: maximum number of PTC iterations\nmax_failed_iter=20: maximum number of iterations that make no progress (either fail, or no change in solution) before exiting\ncheck_callbacks=[]: vector of callback functions to check validity of solution [check_callback(sol, tss, deltat, model, modeldata)]\nstep_callbacks=[]: vector of callback functions to follow a successful step [step_callback(sol, tss, deltat, model, modeldata)], eg to project solution onto invariant manifold (Shampine, 1999)\nverbose=false: true for detailed output\nBLAS_num_threads=1: restrict threads used by Julia BLAS (likely irrelevant if using sparse Jacobian?)\n[Deprecated]: tss_output=Float64[]: renamed to 'saveat'\n[Deprecated]: - max_iter: renamed to maxiters\n[Deprecated: - enforce_noneg=nothing: true to fail pseudo-timesteps that generate negative values for state variables.]\n[Deprecated: use_norm=false: not supported (must be false)]\n[Deprecated: sol_min: now has no effect, replace with solve_kwargs=(apply_step! = PALEOmodel.SolverFunctions.StepClampAll!(sol_min, sol_max), )]\n\nFunction objects nlsolveF = (ssFJ!, nldf)\n\nThe nldf function object should adapt ssFJ! to implement the NLsolve interface to provide the residual function f(S_new) = S_new - (S(t) + Δt dSdt(S_new, t+Δt) (and its jacobian) where the equation f(S_new) = 0 defines the new state variable S_new = S(t+Δt) at new time t+Δt after implicit timestep Δt.\n\nThe ssFJ! struct should additionally provide a function object modelode to calculate the ODE time derivative dSdt(S, p, t) (including a solve for any DAE algebraic variables), NB: parameters p are not used.\n\nssFJ!.modelode(dSdt, S, p, t)\n\nand should implement:\n\nget_state(ssFJ!) -> inner_state: record any state additional to that defined by ODE state variables (eg state variables for short lived species)\nset_step!(ssFJ!, t+Δt, Δt, S(t), inner_state): reset ssFJ! and hence nldf to calculate the residual f(S_new) for an implicit timestep \n\nΔt to t+Δt from previous state S(t), optionally using inner_state to eg configure an internal solver for DAE algebraic variables.\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#Sparse-linear-solvers-adapted-to-NLsolve-interface:","page":"PALEOmodel solvers","title":"Sparse linear solvers adapted to NLsolve interface:","text":"","category":"section"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"CurrentModule = PALEOmodel.SolverFunctions","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"SparseLinsolveUMFPACK\nSparseLinsolveSparspak64x2","category":"page"},{"location":"PALEOmodelSolvers/#PALEOmodel.SolverFunctions.SparseLinsolveUMFPACK","page":"PALEOmodel solvers","title":"PALEOmodel.SolverFunctions.SparseLinsolveUMFPACK","text":"SparseLinsolveUMFPACK() -> slsu\nslsu(x, A, b)\n\nCreate solver function object to solve sparse A x = b using UMFPACK lu factorization\n\nReenables iterative refinement (switched off by default by Julia lu)\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#PALEOmodel.SolverFunctions.SparseLinsolveSparspak64x2","page":"PALEOmodel solvers","title":"PALEOmodel.SolverFunctions.SparseLinsolveSparspak64x2","text":"SparseLinsolveSparspak64x2(; verbose=false) -> slsp\nslsp(x, A, b)\n\nCreate solver function object to solve sparse A x = b using Sparspak lu factorization at quad precision\n\nIncludes one step of iterative refinement\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#Function-objects-to-project-Newton-iterations-into-valid-regions:","page":"PALEOmodel solvers","title":"Function objects to project Newton iterations into valid regions:","text":"","category":"section"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"CurrentModule = PALEOmodel.SolverFunctions","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"StepClampMultAll!\nStepClampAll!\nClampAll\nClampAll!","category":"page"},{"location":"PALEOmodelSolvers/#PALEOmodel.SolverFunctions.StepClampMultAll!","page":"PALEOmodel solvers","title":"PALEOmodel.SolverFunctions.StepClampMultAll!","text":"StepClampMultAll!(minvalue, maxvalue, minmult, maxmult) -> scma!\nStepClampMultAll!(minvalue, maxvalue, maxratio) = StepClampMultAll!(minvalue, maxvalue, 1.0/maxratio, maxratio)\nscma!(x, x_old, newton_step)\n\nFunction object to take Newton step x .= x_old .+ newton_step and then clamp all values in Vector x to specified range using:\n\nclamp!(x, x_old*minmult, x_old*maxmult)\nclamp!(x, minvalue, maxvalue)\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#PALEOmodel.SolverFunctions.StepClampAll!","page":"PALEOmodel solvers","title":"PALEOmodel.SolverFunctions.StepClampAll!","text":"StepClampAll!(minvalue, maxvalue) -> sca!\nsca!(x, x_old, newton_step)\n\nFunction object to take Newton step x .= x_old .+ newton_step and then clamp all values in Vector x to specified range using clamp!(x, minvalue, maxvalue)\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#PALEOmodel.SolverFunctions.ClampAll","page":"PALEOmodel solvers","title":"PALEOmodel.SolverFunctions.ClampAll","text":"ca = ClampAll(minvalue, maxvalue)\nca(v) -> v\n\nFunction object to clamp all values in Vector v to specified range using clamp.(v, minvalue, maxvalue) (out-of-place version)\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#PALEOmodel.SolverFunctions.ClampAll!","page":"PALEOmodel solvers","title":"PALEOmodel.SolverFunctions.ClampAll!","text":"ClampAll!(minvalue, maxvalue) -> ca!\nca!(v)\n\nFunction object to clamp all values in Vector v to specified range using clamp!(v, minvalue, maxvalue) (in-place, mutating version)\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#Function-objects-to-manage-outer-nonlinear-steps:","page":"PALEOmodel solvers","title":"Function objects to manage outer nonlinear steps:","text":"","category":"section"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"CurrentModule = PALEOmodel.SteadyState","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"ConservationCallback\nRestartSmallValuesCallback\nCheckValuesCallback","category":"page"},{"location":"PALEOmodelSolvers/#PALEOmodel.SteadyState.ConservationCallback","page":"PALEOmodel solvers","title":"PALEOmodel.SteadyState.ConservationCallback","text":"ConservationCallback(\n tmodel_start::Float64 # earliest model time to apply correction\n content_name::String # variable with a total of X\n flux_name::String # variable with a corresponding boundary flux of X\n reservoir_total_name::String # total for reservoir to apply correction to\n reservoir_statevar_name::String # state variable for reservoir to apply correction to\n reservoir_fac::Float64 # stoichiometric factor (1 / moles of quantity X per reservoir molecule)\n) -> ccb\n\nProvides a callback function with signature\n\nccb(state, tmodel, deltat, model, modeldata)\n\nthat modifies modeldata arrays and state to enforce budget conservation.\n\nGeneral principle is to project the solution onto an invariant manifold (modifying state variables), as discussed in (Shampine, 1999) \n\nExample\n\nconservation_callback_H = PALEOmodel.SteadyState.ConservationCallback(\n tmodel_start=1e5,\n content_name=\"global.content_H_atmocean\",\n flux_name=\"global.total_H\",\n reservoir_total_name=\"atm.CH4_total\", # \"atm.H2_total\",\n reservoir_statevar_name=\"atm.CH4_mr\", # \"atm.H2_mr\",\n reservoir_fac=0.25 # 0.5, # H per reservoir molecule\n)\n\nthen add to eg steadystate_ptc_splitdae with step_callbacks keyword argument:\n\nstep_callbacks = [conservation_callback_H]\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#PALEOmodel.SteadyState.RestartSmallValuesCallback","page":"PALEOmodel solvers","title":"PALEOmodel.SteadyState.RestartSmallValuesCallback","text":"RestartSmallValuesCallback(\n stateexplicit::PB.VariableAggregator; \n include_variables::Vector{String} = String[v.domain.name*\".\"*v.name for v in stateexplicit.vars],\n exclude_variables::Vector{String} = String[],\n modify_threshold=1e-80,\n modify_val=1e-30\n) -> rsvc\n\nProvides a callback function with signature\n\nrsvc(state, tmodel, deltat, model, modeldata)\n\nthat modifies state to reset variables with values < modify_threshold to value modify_val, hence restarting the Newton solve from modify_val on the next iteration.\n\nExample\n\nrestart_small_values_callback = PALEOmodel.SteadyState.RestartSmallValuesCallback(\n modeldata.solver_view_all.stateexplicit;\n modify_threshold = 1e-80,\n modify_val = 1e-30,\n)\n\nthen add to eg steadystate_ptc_splitdae with step_callbacks keyword argument:\n\nstep_callbacks = [restart_small_values_callback]\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#PALEOmodel.SteadyState.CheckValuesCallback","page":"PALEOmodel solvers","title":"PALEOmodel.SteadyState.CheckValuesCallback","text":"CheckValuesCallback(\n stateexplicit::PB.VariableAggregator; \n include_variables::Vector{String} = String[v.domain.name*\".\"*v.name for v in stateexplicit.vars],\n exclude_variables::Vector{String} = String[],\n check_min_threshold=-Inf,\n check_max_threshold=Inf,\n) -> cvc\n\nProvides a callback function with signature\n\ncvc(state, tmodel, deltat, model, modeldata)::Bool\n\nthat checks variables have check_min_threshold < values < check_max_threshold.\n\nExample\n\ncheck_min_values_callback = PALEOmodel.SteadyState.CheckValuesCallback(\n modeldata.solver_view_all.stateexplicit;\n check_min_value = 1e-80,\n)\n\nthen add to eg steadystate_ptc_splitdae with check_callbacks keyword argument:\n\ncheck_callbacks = [check_min_values_callback]\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#Steady-state-solvers-(Sundials-Kinsol-based):","page":"PALEOmodel solvers","title":"Steady-state solvers (Sundials Kinsol based):","text":"","category":"section"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"CurrentModule = PALEOmodel.SteadyStateKinsol","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"steadystate_ptc","category":"page"},{"location":"PALEOmodelSolvers/#PALEOmodel.SteadyStateKinsol.steadystate_ptc","page":"PALEOmodel solvers","title":"PALEOmodel.SteadyStateKinsol.steadystate_ptc","text":"steadystate_ptc(run, initial_state, modeldata, tspan, deltat_initial; \n [,deltat_fac=2.0] [,saveat] [,outputwriter] [,createkwargs] [,solvekwargs]\n [, use_jac_preconditioner] [,jac_cellranges] [, use_directional_ad] [, directional_ad_eltypestomap]\n [,verbose] [, BLAS_num_threads]\n)\n\nFind steady-state solution and write to outputwriter, using naive pseudo-transient-continuation with first order implicit Euler pseudo-timesteps and PALEOmodel.Kinsol as the non-linear solver.\n\nEach pseudo-timestep solves the nonlinear system S(t+Δt) = S(t) + Δt dS/dt(t+Δt) for S(t+Δt), using a variant of Newton's method (preconditioned Newton-Krylov, with the Jacobian as preconditioner)\n\nInitial pseudo-timestep Δt is deltat_initial, this is multiplied by deltat_fac for the next iteration until pseudo-time tss_max is reached. If an iteration fails, Δt is divided by deltat_fac and the iteration retried.\n\nNB: this is a very naive initial implementation, there is currently no reliable error control to adapt pseudo-timesteps to the rate of convergence, so requires some trial-and-error to set an appropiate deltat_fac for each problem.\n\nSolver PALEOmodel.Kinsol options are set by arguments createkwargs (passed through to PALEOmodel.Kinsol.kin_create) and solvekwargs (passed through to PALEOmodel.Kinsol.kin_solve).\n\nIf use_jac_ad_preconditioner is true, the AD Jacobian is used as preconditioner. The preconditioner (Jacobian) calculation can be modified by jac_cellranges, to specify a operatorIDs so use only a subset of Reactions in order to calculate an approximate Jacobian to use as the preconditioner.\n\nIf use_directional_ad is true, the Jacobian-vector product will be calculated using automatic differentiation (instead of the default finite difference approximation). directional_ad_eltypestomap can be used to specify Variable :datatype tags (strings) that should be mapped to the AD directional derivative datatype hence included in the AD directional derivative.\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"CurrentModule = PALEOmodel","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"Kinsol\nKinsol.kin_create\nKinsol.kin_solve","category":"page"},{"location":"PALEOmodelSolvers/#PALEOmodel.Kinsol","page":"PALEOmodel solvers","title":"PALEOmodel.Kinsol","text":"Kinsol\n\nMinimal Julia wrapper for the Sundials kinsol nonlinear system solver https://computing.llnl.gov/projects/sundials/kinsol\n\nThis closely follows the native C interface, as documented in the Kinsol manual, with conversion to-from native Julia types.\n\nThe main user-facing functions are Kinsol.kin_create and Kinsol.kin_solve.\n\n\n\n\n\n","category":"module"},{"location":"PALEOmodelSolvers/#PALEOmodel.Kinsol.kin_create","page":"PALEOmodel solvers","title":"PALEOmodel.Kinsol.kin_create","text":"kin_create(f, y0 [; kwargs...]) -> kin\n\nCreate and return a kinsol solver context kin, which can then be passed to kin_solve\n\nArguments\n\nf: Function of form f(fy::Vector{Float64}, y::Vector{Float64}, userdata)\ny0::Vector template Vector of initial values (used only to define problem dimension)\n\nKeywords\n\nuserdata: optional user data, passed through to f etc.\nlinear_solver: linear solver to use (only partially implemented, supports :Dense, :Band, :FGMRES)\npsolvefun: optional preconditioner solver function (for :FGMRES)\npsetupfun: optional preconditioner setup function\njvfun: optional Jacobian*vector function (for :FGMRES)\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#PALEOmodel.Kinsol.kin_solve","page":"PALEOmodel solvers","title":"PALEOmodel.Kinsol.kin_solve","text":"kin_solve(\n kin, y0::Vector;\n [strategy] [, fnormtol] [, mxiter] [, print_level] [,y_scale] [, f_scale] [, noInitSetup]\n) -> (y, kin_stats)\n\nSolve nonlinear system using kinsol solver context kin (created by kin_create) and initial conditions y0. Returns solution y and solver statistics kinstats. kinstats.returnflag indicates success/failure.\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#Fixed-timestep-solvers","page":"PALEOmodel solvers","title":"Fixed timestep solvers","text":"","category":"section"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"CurrentModule = PALEOmodel.ODEfixed","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"PALEO native fixed-timestep, first-order Euler integrators, with split-explicit and multi-threaded options. These are usually appropriate for larger biogeochemical models (eg ocean models using GCM transport matrices).","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"The low-level timestepping is provided by integrateFixed and integrateFixedthreads, with higher-level wrappers for common options provided by integrateEuler etc.","category":"page"},{"location":"PALEOmodelSolvers/#High-level-wrappers-2","page":"PALEOmodel solvers","title":"High-level wrappers","text":"","category":"section"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"CurrentModule = PALEOmodel.ODEfixed","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"integrateEuler\nintegrateSplitEuler\nintegrateEulerthreads\nintegrateSplitEulerthreads","category":"page"},{"location":"PALEOmodelSolvers/#PALEOmodel.ODEfixed.integrateEuler","page":"PALEOmodel solvers","title":"PALEOmodel.ODEfixed.integrateEuler","text":"integrateEuler(run, initial_state, modeldata, tspan, Δt [; kwargs])\n\nIntegrate run.model from initial_state using first-order Euler with fixed timestep.\n\nCalls integrateFixed\n\nArguments\n\nrun::Run: struct with model::PB.Model to integrate and output field\ninitial_state::AbstractVector: initial state vector\nmodeldata::Modeldata: ModelData struct with appropriate element type for forward model\ntspan: (tstart, toutput1, toutput2, ..., tstop) integration start, output, stop times\nΔt: (yr) fixed timestep\n\nKeywords\n\noutputwriter::PALEOmodel.AbstractOutputWriter=run.output: container to write model output to\nreport_interval=1000: number of timesteps between progress update to console\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#PALEOmodel.ODEfixed.integrateSplitEuler","page":"PALEOmodel solvers","title":"PALEOmodel.ODEfixed.integrateSplitEuler","text":"integrateSplitEuler(run, initial_state, modeldata, tspan, Δt_outer, n_inner;\n cellranges_outer, cellranges_inner,\n [,outputwriter])\n\nIntegrate run.model representing:\n\nfracdSdt = f_outer(t S) + f_inner(t S)\n\nusing split first-order Euler with Δt_outer for f_outer and a shorter timestep Δt_outer/n_inner for f_inner.\n\nf_outer is defined by calling PALEOboxes.do_deriv with cellranges_outer hence corresponds to those Reactions with operatorID of cellranges_outer. f_inner is defined by calling PALEOboxes.do_deriv with cellranges_inner hence corresponds to those Reactions with operatorID of cellranges_inner.\n\nNB: the combined time derivative is written to outputwriter.\n\nArguments\n\nrun::Run: struct with model::PB.Model to integrate and output field\ninitial_state::AbstractVector: initial state vector\nmodeldata::Modeldata: ModelData struct with appropriate element type for forward model\ntspan: (tstart, toutput1, toutput2, ..., tstop) integration start, output, stop times\nΔt_outer: (yr) fixed outer timestep \nn_inner: number of inner timesteps per outer timestep\n\nKeywords\n\ncellranges_outer: Vector of CellRange with operatorID defining f_outer.\ncellranges_inner: Vector of CellRange with operatorID defining f_inner.\noutputwriter::PALEOmodel.AbstractOutputWriter=run.output: container to write model output to\nreport_interval=1000: number of outer timesteps between progress update to console\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#PALEOmodel.ODEfixed.integrateEulerthreads","page":"PALEOmodel solvers","title":"PALEOmodel.ODEfixed.integrateEulerthreads","text":"integrateEulerthreads(run, initial_state, modeldata, cellranges, tspan, Δt;\n outputwriter=run.output, report_interval=1000)\n\nIntegrate run.model using first-order Euler with fixed timestep Δt, with tiling over multiple threads.\n\nArguments\n\nrun::Run: struct with model::PB.Model to integrate and output field\ninitial_state::AbstractVector: initial state vector\nmodeldata::Modeldata: ModelData struct with appropriate element type for forward model\ncellranges::Vector{Vector{AbstractCellRange}}: Vector of Vector-of-cellranges, one per thread (so length(cellranges) == Threads.nthreads).\ntspan: (tstart, toutput1, toutput2, ..., tstop) integration start, output, stop times\nΔt: (yr) fixed outer timestep\n\nKeywords\n\noutputwriter::PALEOmodel.AbstractOutputWriter=run.output: container to write model output to\nreport_interval=1000: number of outer timesteps between progress update to console\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#PALEOmodel.ODEfixed.integrateSplitEulerthreads","page":"PALEOmodel solvers","title":"PALEOmodel.ODEfixed.integrateSplitEulerthreads","text":"integrateSplitEulerthreads(run, initial_state, modeldata, tspan, Δt_outer, n_inner::Int; \n cellranges_outer, cellranges_inner, [,outputwriter] [, report_interval])\n\nIntegrate run.model using split first-order Euler with Δt_outer for f_outer and a shorter timestep Δt_outer/n_inner for f_inner.\n\nf_outer is defined by calling PALEOboxes.do_deriv with cellrange_outer hence corresponds to those Reactions with operatorID of cellrange_outer. f_inner is defined by calling PALEOboxes.do_deriv with cellrange_inner hence corresponds to those Reactions with operatorID of cellrange_inner.\n\nUses Threads.nthreads threads and tiling described by cellranges_inner and cellranges_outer (each a Vector of Vector{AbstractCellRange}, one per thread).\n\nArguments\n\nrun::Run: struct with model::PB.Model to integrate and output field\ninitial_state::AbstractVector: initial state vector\nmodeldata::Modeldata: ModelData struct with appropriate element type for forward model\ntspan: (tstart, toutput1, toutput2, ..., tstop) integration start, output, stop times\nΔt_outer: (yr) fixed outer timestep \nn_inner: number of inner timesteps per outer timestep (0 for non-split solver)\n\nKeywords\n\ncellranges_outer::Vector{Vector{AbstractCellRange}}: Vector of list-of-cellranges, one list per thread (so length(cellranges) == Threads.nthreads), with operatorID defining f_outer.\ncellranges_inner::Vector{Vector{AbstractCellRange}}: As cellranges_outer, with operatorID defining f_inner.\noutputwriter::PALEOmodel.AbstractOutputWriter=run.output: container to write model output to\nreport_interval=1000: number of outer timesteps between progress update to console\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"CurrentModule = PALEOmodel.ODELocalIMEX","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"integrateLocalIMEXEuler","category":"page"},{"location":"PALEOmodelSolvers/#PALEOmodel.ODELocalIMEX.integrateLocalIMEXEuler","page":"PALEOmodel solvers","title":"PALEOmodel.ODELocalIMEX.integrateLocalIMEXEuler","text":"integrateLocalIMEXEuler(run, initial_state, modeldata, tspan, Δt_outer [; kwargs...])\n\nIntegrate run.model representing:\n\nfracdSdt = f_outer(t S) + f_inner(t S)\n\nusing first-order Euler with Δt_outer for f_outer and implicit first-order Euler for f_inner, where f_inner is local (within-cell, ie no transport), for a single Domain, and uses only StateExplicit and Deriv variables.\n\nf_outer is defined by calling PALEOboxes.do_deriv with cellranges_outer hence corresponds to those Reactions with operatorID of cellranges_outer. f_inner is defined by calling PALEOboxes.do_deriv with cellrange_inner hence corresponds to those Reactions with operatorID of cellrange_inner.\n\nNB: the combined time derivative is written to outputwriter.\n\nArguments\n\nrun::Run: struct with model::PB.Model to integrate and output field\ninitial_state::AbstractVector: initial state vector\nmodeldata::Modeldata: ModelData struct with appropriate element type for forward model\ntspan: (tstart, toutput1, toutput2, ..., tstop) integration start, output, stop times\nΔt_outer: (yr) fixed timestep\n\nKeywords\n\ncellranges_outer: Vector of CellRange with operatorID defining f_outer.\ncellrange_inner: A single CellRange with operatorID defining f_inner.\nexclude_var_nameroots: State variables that are modified by Reactions in cellrange_inner, but not needed to find implicit solution (ie reaction rates etc don't depend on them).\n[outputwriter=run.output: PALEOmodel.AbstractOutputWriter instance to write model output to]\n[report_interval=1000: number of outer timesteps between progress update to console]\n[Lnorm_inf_max=1e-3: normalized error tolerance for implicit solution]\n[niter_max=10]: maximum number of Newton iterations\n[request_adchunksize=4]: request ForwardDiff AD chunk size (will be restricted to an upper limit)\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#Low-level-timesteppers","page":"PALEOmodel solvers","title":"Low-level timesteppers","text":"","category":"section"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"CurrentModule = PALEOmodel.ODEfixed","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"integrateFixed\nintegrateFixedthreads","category":"page"},{"location":"PALEOmodelSolvers/#PALEOmodel.ODEfixed.integrateFixed","page":"PALEOmodel solvers","title":"PALEOmodel.ODEfixed.integrateFixed","text":"integrateFixed(run, initial_state, modeldata, tspan, Δt_outer;\n timesteppers, outputwriter=run.output, report_interval=1000)\n\nFixed timestep integration, with time step implemented by timesteppers,\n\n`timesteppers = [ [(timestep_function, cellranges, timestep_ctxt), ...], ...]`\n\nWhere timestep_function(model, modeldata, cellranges, timestep_ctxt, touter, Δt, barrier)\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#PALEOmodel.ODEfixed.integrateFixedthreads","page":"PALEOmodel solvers","title":"PALEOmodel.ODEfixed.integrateFixedthreads","text":"integrateFixedthreads(run, initial_state, modeldata, tspan, Δt_outer;\n timesteppers, outputwriter=run.output, report_interval=1000)\n\nFixed timestep integration using Threads.nthreads() threads, with time step implemented by timesteppers,\n\n`timesteppers = [ [(timestep_function, cellranges, timestep_ctxt), ... (1 per thread)], ...]`\n\nWhere timestep_function(model, modeldata, cellranges, timestep_ctxt, touter, Δt, barrier).\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#Thread-barriers","page":"PALEOmodel solvers","title":"Thread barriers","text":"","category":"section"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"CurrentModule = PALEOmodel.ThreadBarriers","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"ThreadBarrierAtomic\nThreadBarrierCond","category":"page"},{"location":"PALEOmodelSolvers/#PALEOmodel.ThreadBarriers.ThreadBarrierAtomic","page":"PALEOmodel solvers","title":"PALEOmodel.ThreadBarriers.ThreadBarrierAtomic","text":"ThreadBarrierAtomic\n\nThread synchronisation barrier for Threads.nthreads() Julia Threads. Uses a pair of Atomic variables to avoid the need for locks. Resets so can be reused.\n\nExample:\n\nbarrier = ThreadBarrierAtomic(\"my barrier\") \nThreads.@threads for t in 1:Threads.nthreads() \n # do stuff\n \n wait_barrier(barrier) # blocks until all threads reach this point\n\n # do more stuff\nend\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#PALEOmodel.ThreadBarriers.ThreadBarrierCond","page":"PALEOmodel solvers","title":"PALEOmodel.ThreadBarriers.ThreadBarrierCond","text":"ThreadBarrierCond\n\nThread synchronisation barrier for Threads.nthreads() Julia Threads using Condition variable and associated lock. Resets so can be reused. \n\nNB: testing on Julia 1.6 suggests this is slow. \n\nExample:\n\nbarrier = ThreadBarrierCond(\"my barrier\") \nThreads.@threads for t in 1:Threads.nthreads() \n # do stuff\n \n wait_barrier(barrier) # blocks until all threads reach this point\n\n # do more stuff\nend\n\nImplementation:\n\nUses a condition variable (with associated lock) and a counter. See eg http://web.eecs.utk.edu/~huangj/cs360/360/notes/CondVar/lecture.html\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#Variable-aggregation","page":"PALEOmodel solvers","title":"Variable aggregation","text":"","category":"section"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"CurrentModule = PALEOmodel","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"A SolverView uses a collection of PALEOboxes.VariableAggregators to assemble model state Variables and associated time derivatives into contiguous Vectors, for the convenience of standard numerical ODE / DAE solvers. See Mathematical formulation of the reaction-transport problem. ","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"SolverView\nset_default_solver_view!\ncopy_norm!\nset_statevar!\nget_statevar_sms!","category":"page"},{"location":"PALEOmodelSolvers/#PALEOmodel.SolverView","page":"PALEOmodel solvers","title":"PALEOmodel.SolverView","text":"SolverView(model, modeldata, arrays_idx; [verbose=true]) \nSolverView(model, modeldata, cellranges; [verbose=false], [indices_from_cellranges=true])\n\nProvides a view on the whole or some part of the Model for a numerical solver.\n\nContains PALEOboxes.VariableAggregators for a subset of spatial locations, defining state variables S_all composed of subsets stateexplicit (S_e), statetotal (S_t) and state (S_a).\n\nDifferential and algebraic constraints are provided by:\n\nODE paired stateexplicit (S_e) and stateexplicit_deriv (dS_e/dt), where dS_e/dt = F(S_all).\nImplicit-ODE paired total (T) and total_deriv (dT/dt), where dT(S_all)/dt = F(S_all), This implicitly determines the time derivative dS_t/dt, as dT(S_all)/dt = dT(S_all)/dS_all * dS_all/dt. The number of total (T) variables must equal the number of statetotal variables S_t.\nAlgebraic constraints (C), where C(S_all) = 0 and the number of constraint Variables C must equal the number of state variables S_a.\n\nIf there are either no total (T) variables, or they are functions T(S_e, S_t) only of S_e and S_t (not of S_a), then the state variables can be partitioned into subsets of differential variables S_d (consisting of stateexplicit (S_e) and statetotal (S_t)), and algebraic variables state (S_a).\n\nThe available choice of numerical solvers depends on the types of state variables in the model configuration:\n\nA system with only stateexplicit (S_e) variables can be solved by an ODE solver (eg as a SciML ODEProblem by PALEOmodel.ODE.integrate).\nSome ODE solvers (those that support a constant mass matrix on the LHS) can also solve systems with constraints C (eg as a SciML ODEProblem by PALEOmodel.ODE.integrate).\nA DAE solver such as Sundials IDA is required to solve systems with implicit total (T) variables (eg as a SciML DAEProblem by PALEOmodel.ODE.integrateDAE). NB: arbitrary combinations of total (T) and constraint (C) variables are not supported by Sundials IDA via PALEOmodel.ODE.integrateDAE, as the IDA solver option used to find consistent initial conditions requires a partioning into differential and algebraic variables as described above.\n\nOptional access methods provide an ODE/DAE solver view with composite statevar and statevar_sms,where:\n\n- `statevar` is a concatenation of `stateexplicit`, `statetotal`, and `state` ([`set_statevar!`](@ref))\n- `statevar_sms` is a concatenation of `stateexplicit_deriv`, `total_deriv`, `constraints` ([`get_statevar_sms!`](@ref))\n\nConstructors create a SolverView for the entire model from modeldata array set arrays_idx, or for a subset of Model Variables defined by the Domains and operatorIDs of cellranges. \n\nKeywords\n\nindices_from_cellranges=true: true to restrict to the index ranges from cellranges, false to just use cellranges to define Domains\n\nand take the whole of each Domain.\n\nhostdep_all=true: true to include host dependent not-state Variables from all Domains\nreallocate_hostdep_eltype=Float64: a data type to reallocate hostdep Variables eg to replace any\n\nAD types.\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#PALEOmodel.set_default_solver_view!","page":"PALEOmodel solvers","title":"PALEOmodel.set_default_solver_view!","text":"set_default_solver_view!(model, modeldata)\n\n(Optional, used to set modeldata.solver_view_all to a SolverView) for the whole model, and set modeldata.hostdep_data to any non-state-variable host dependent Variables)\n\nreallocate_hostdep_eltype a data type to reallocate hostdep_data eg to replace any AD types.\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#PALEOmodel.copy_norm!","page":"PALEOmodel solvers","title":"PALEOmodel.copy_norm!","text":"copy norm values from state variable etc data\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#PALEOmodel.set_statevar!","page":"PALEOmodel solvers","title":"PALEOmodel.set_statevar!","text":"set_statevar!(sv::SolverView, u)\n\nSet combined stateexplicit, statetotal, state variables from u\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#PALEOmodel.get_statevar_sms!","page":"PALEOmodel solvers","title":"PALEOmodel.get_statevar_sms!","text":"get_statevar_sms!(du, sv::SolverView)\n\nGet combined derivatives and constraints, eg for an ODE solver\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelSolvers/#Function-objects","page":"PALEOmodel solvers","title":"Function objects","text":"","category":"section"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"CurrentModule = PALEOmodel.SolverFunctions","category":"page"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"Function objects are callable structs with function signatures required by DifferentialEquations or other solvers to calculate model time derivative, Jacobian, etc. They combine variable aggregation (using PALEOboxes.VariableAggregators or PALEOmodel.SolverView) with corresponding Reaction dispatch lists.","category":"page"},{"location":"PALEOmodelSolvers/#ODE-function-objects","page":"PALEOmodel solvers","title":"ODE function objects","text":"","category":"section"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"ModelODE\nModelODE_at_t\nJacODEForwardDiffDense\nJacODEForwardDiffSparse\nJacODE_at_t","category":"page"},{"location":"PALEOmodelSolvers/#PALEOmodel.SolverFunctions.ModelODE","page":"PALEOmodel solvers","title":"PALEOmodel.SolverFunctions.ModelODE","text":"ModelODE(\n modeldata, [parameter_aggregator]; \n solver_view=modeldata.solver_view_all,\n dispatchlists=modeldata.dispatchlists_all\n) -> f::ModelODE\n\nFunction object to calculate model time derivative and adapt to SciML ODE solver interface\n\nCall as f(du,u, p, t)\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#PALEOmodel.SolverFunctions.ModelODE_at_t","page":"PALEOmodel solvers","title":"PALEOmodel.SolverFunctions.ModelODE_at_t","text":"ModelODE_at_t\n\nFunction object to calculate model derivative at t, eg to adapt to ForwardDiff or NLsolve interface\n\nCalculates F = du/dt(t)\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#PALEOmodel.SolverFunctions.JacODEForwardDiffDense","page":"PALEOmodel solvers","title":"PALEOmodel.SolverFunctions.JacODEForwardDiffDense","text":"JacODEForwardDiffDense(\n modeldata; \n solver_view=modeldata.solver_view_all,\n dispatchlists=modeldata.dispatchlists_all,\n du_template, \n jacconf,\n) -> jac::JacODEForwardDiffDense\n\nJacODEForwardDiffDense_p(\n modeldata, pa::PB.ParameterAggregator; \n solver_view=modeldata.solver_view_all,\n dispatchlists=modeldata.dispatchlists_all,\n du_template, \n jacconf,\n) -> jac::JacODEForwardDiffDense_p\n\nFunction object to calculate dense Jacobian in form required for SciML ODE solver.\n\nsolver_view, dispatchlists should correspond to modeldata, which should have the appropriate element type for ForwardDiff Dual numbers.\n\nCall as jac(J, u, p, t)\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#PALEOmodel.SolverFunctions.JacODEForwardDiffSparse","page":"PALEOmodel solvers","title":"PALEOmodel.SolverFunctions.JacODEForwardDiffSparse","text":"JacODEForwardDiffSparse(\n modeldata; \n solver_view=modeldata.solver_view_all,\n dispatchlists=modeldata.dispatchlists_all,\n du_template,\n throw_on_nan, \n jac_cache,\n) -> jac::JacODEForwardDiffSparse\n\nFunction object to calculate sparse Jacobian in form required for SciML ODE solver.\n\nsolver_view, dispatchlists should correspond to modeldata, which should have the appropriate element type for ForwardDiff Dual numbers.\n\nCall as jac(J, u, p, t)\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#PALEOmodel.SolverFunctions.JacODE_at_t","page":"PALEOmodel solvers","title":"PALEOmodel.SolverFunctions.JacODE_at_t","text":"JacODE_at_t\n\nFunction object to calculate ODE model Jacobian at t, eg to adapt to NLsolve interface\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#DAE-function-objects","page":"PALEOmodel solvers","title":"DAE function objects","text":"","category":"section"},{"location":"PALEOmodelSolvers/","page":"PALEOmodel solvers","title":"PALEOmodel solvers","text":"ModelDAE\nJacDAE\nTotalForwardDiff\nImplicitForwardDiffDense\nImplicitForwardDiffSparse","category":"page"},{"location":"PALEOmodelSolvers/#PALEOmodel.SolverFunctions.ModelDAE","page":"PALEOmodel solvers","title":"PALEOmodel.SolverFunctions.ModelDAE","text":"ModelDAE\n\nFunction object to calculate model residual G and adapt to SciML DAE solver interface.\n\nIf using Total variables, odeimplicit should be an ImplicitForwardDiffDense or ImplicitForwardDiffSparse, otherwise nothing.\n\nProvides function signature:\n\n(fdae::ModelDAE)(G, dsdt, s, p, t)\n\nwhere residual G(dsdt,s,p,t) is:\n\n-dsdt + F(s) (for ODE-like state Variables s with time derivative F given explicitly in terms of s)\nF(s) (for algebraic constraints)\nduds*dsdt + F(s, u(s)) (for Total variables u that depend implicitly on state Variables s)\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#PALEOmodel.SolverFunctions.JacDAE","page":"PALEOmodel solvers","title":"PALEOmodel.SolverFunctions.JacDAE","text":"JacDAE\n\nFunction object to calculate Jacobian in form required for SciML DAE solver\n\nodejac should be a JacODEForwardDiffDense or JacODEForwardDiffSparse\n\nIf using Total variables, odeimplicit should be an ImplicitForwardDiffDense or ImplicitForwardDiffSparse, otherwise nothing.\n\nProvides function signature:\n\n(jdae::JacDAE)(J, dsdt, s, p, γ, t)\n\nCalculates Jacobian J in the form γ*dG/d(dsdt) + dG/ds where γ is given by the solver\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#PALEOmodel.SolverFunctions.TotalForwardDiff","page":"PALEOmodel solvers","title":"PALEOmodel.SolverFunctions.TotalForwardDiff","text":"TotalForwardDiff\n\nCalculate Total variables, with function signature required by ForwardDiff\n\nCalling:\n\nset_t!(tfd::TotalForwardDiff, t)\ntfd(T, u)\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#PALEOmodel.SolverFunctions.ImplicitForwardDiffDense","page":"PALEOmodel solvers","title":"PALEOmodel.SolverFunctions.ImplicitForwardDiffDense","text":"ImplicitForwardDiffDense\n\nCalculate dT/dS required for a model containing implicit Total variables, using ForwardDiff and dense AD\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelSolvers/#PALEOmodel.SolverFunctions.ImplicitForwardDiffSparse","page":"PALEOmodel solvers","title":"PALEOmodel.SolverFunctions.ImplicitForwardDiffSparse","text":"ImplicitForwardDiffSparse\n\nCalculate dT/dS required for a model containing implicit Total variables, using ForwardDiff and sparse AD with SparseDiffTools.forwarddiff_color_jacobian!\n\n\n\n\n\n","category":"type"},{"location":"References/#References","page":"References","title":"References","text":"","category":"section"},{"location":"References/","page":"References","title":"References","text":"Shampine, L. (1999). Conservation laws and the numerical solution of ODEs, II. Computers & Mathematics with Applications 38, 61–72. Accessed on Sep 4, 2023.\n\n\n\nShampine, L. F.; Thompson, S.; Kierzenka, J. and Byrne, G. (2005). Non-negative solutions of ODEs. Applied Mathematics and Computation 170, 556–569.\n\n\n\n","category":"page"},{"location":"HOWTOshowmodelandoutput/#Displaying-model-configuration-and-output-from-the-Julia-REPL","page":"Displaying model configuration and output from the Julia REPL","title":"Displaying model configuration and output from the Julia REPL","text":"","category":"section"},{"location":"HOWTOshowmodelandoutput/","page":"Displaying model configuration and output from the Julia REPL","title":"Displaying model configuration and output from the Julia REPL","text":"Page moved to PALEOtutorials","category":"page"},{"location":"indexpage/#Index","page":"Index","title":"Index","text":"","category":"section"},{"location":"indexpage/","page":"Index","title":"Index","text":"","category":"page"},{"location":"MathematicalFormulation/#Mathematical-formulation-of-the-reaction-transport-problem","page":"Mathematical formulation of the reaction-transport problem","title":"Mathematical formulation of the reaction-transport problem","text":"","category":"section"},{"location":"MathematicalFormulation/","page":"Mathematical formulation of the reaction-transport problem","title":"Mathematical formulation of the reaction-transport problem","text":"The PALEO models define various special cases of a general DAE problem (these can be combined, providing the number of implicit state variables S_impl is equal to the number of algebraic constraints G plus the number of total variables U):","category":"page"},{"location":"MathematicalFormulation/#Explicit-ODE","page":"Mathematical formulation of the reaction-transport problem","title":"Explicit ODE","text":"","category":"section"},{"location":"MathematicalFormulation/","page":"Mathematical formulation of the reaction-transport problem","title":"Mathematical formulation of the reaction-transport problem","text":"The time derivative of explicit state variables S_explicit (a subset of all state variables S_all) are an explicit function of time t:","category":"page"},{"location":"MathematicalFormulation/","page":"Mathematical formulation of the reaction-transport problem","title":"Mathematical formulation of the reaction-transport problem","text":"fracdS_explicitdt = F(S_all t)","category":"page"},{"location":"MathematicalFormulation/","page":"Mathematical formulation of the reaction-transport problem","title":"Mathematical formulation of the reaction-transport problem","text":"where explicit state variables S_explicit are identified by PALEO attribute :vfunction = PALEOboxes.VF_StateExplicit and paired time derivatives F by :vfunction = PALEOboxes.VF_Deriv along with the naming convention , _sms.","category":"page"},{"location":"MathematicalFormulation/#Algebraic-constraints","page":"Mathematical formulation of the reaction-transport problem","title":"Algebraic constraints","text":"","category":"section"},{"location":"MathematicalFormulation/","page":"Mathematical formulation of the reaction-transport problem","title":"Mathematical formulation of the reaction-transport problem","text":"State variables S_impl (a subset of all state variables S_all) are defined by algebraic constraints G:","category":"page"},{"location":"MathematicalFormulation/","page":"Mathematical formulation of the reaction-transport problem","title":"Mathematical formulation of the reaction-transport problem","text":"0 = G(S_all t)","category":"page"},{"location":"MathematicalFormulation/","page":"Mathematical formulation of the reaction-transport problem","title":"Mathematical formulation of the reaction-transport problem","text":"where implicit state variables S_impl are identified by PALEO attribute :vfunction = PALEOboxes.VF_State and algebraic constaints G by :vfunction = PALEOboxes.VF_Constraint (these are not paired).","category":"page"},{"location":"MathematicalFormulation/#ODE-with-variable-substitution","page":"Mathematical formulation of the reaction-transport problem","title":"ODE with variable substitution","text":"","category":"section"},{"location":"MathematicalFormulation/","page":"Mathematical formulation of the reaction-transport problem","title":"Mathematical formulation of the reaction-transport problem","text":"State variables S_impl (a subset of all state variables S_all) are defined the time evolution of total variables U(S_all) (this case is common in biogeochemistry where the total variables U represent conserved chemical elements, and the state variables eg primary species):","category":"page"},{"location":"MathematicalFormulation/","page":"Mathematical formulation of the reaction-transport problem","title":"Mathematical formulation of the reaction-transport problem","text":"fracdU(S_all)dt = F(U(S_all) t)","category":"page"},{"location":"MathematicalFormulation/","page":"Mathematical formulation of the reaction-transport problem","title":"Mathematical formulation of the reaction-transport problem","text":"where total variables U are identified by PALEO attribute :vfunction = PALEOboxes.VF_Total and paired time derivatives F by :vfunction = PALEOboxes.VF_Deriv along with the naming convention , _sms, and implicit state variables S_impl are identified by PALEO attribute :vfunction = PALEOboxes.VF_StateTotal.","category":"page"},{"location":"PALEOmodelOutput/#PALEOmodel-output","page":"PALEOmodel output","title":"PALEOmodel output","text":"","category":"section"},{"location":"PALEOmodelOutput/#Run","page":"PALEOmodel output","title":"Run","text":"","category":"section"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"CurrentModule = PALEOmodel","category":"page"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"Run","category":"page"},{"location":"PALEOmodelOutput/#PALEOmodel.Run","page":"PALEOmodel output","title":"PALEOmodel.Run","text":"Run\n\nContainer for model and output.\n\nFields\n\nmodel::Union{Nothing, PB.Model}: The model instance.\noutput::Union{Nothing, AbstractOutputWriter}: model output\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelOutput/#Output","page":"PALEOmodel output","title":"Output","text":"","category":"section"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"PALEO model output is accumulated into a container such as an OutputMemory instance that implements the AbstractOutputWriter interface.","category":"page"},{"location":"PALEOmodelOutput/#AbstractOutputWriter-interface","page":"PALEOmodel output","title":"AbstractOutputWriter interface","text":"","category":"section"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"CurrentModule = PALEOmodel","category":"page"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"AbstractOutputWriter","category":"page"},{"location":"PALEOmodelOutput/#PALEOmodel.AbstractOutputWriter","page":"PALEOmodel output","title":"PALEOmodel.AbstractOutputWriter","text":"AbstractOutputWriter\n\nInterface implemented by containers for PALEO model output.\n\nImplementations should define methods for:\n\nWriting output\n\ninitialize!\nadd_record!\n\nModifying output\n\nPB.add_field!\n\nQuerying output\n\nPB.get_table\nPB.show_variables\nPB.has_variable\n\nAccessing output data\n\nPALEOmodel.get_array\nPB.get_field\nPB.get_mesh\nPB.get_data\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"CurrentModule = PALEOmodel.OutputWriters","category":"page"},{"location":"PALEOmodelOutput/#Writing-output","page":"PALEOmodel output","title":"Writing output","text":"","category":"section"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"initialize!\nadd_record!","category":"page"},{"location":"PALEOmodelOutput/#PALEOmodel.OutputWriters.initialize!","page":"PALEOmodel output","title":"PALEOmodel.OutputWriters.initialize!","text":"initialize!(\n output::PALEOmodel.AbstractOutputWriter, model, modeldata, [nrecords] \n [;record_dim_name=:tmodel] [record_coord_units=\"yr\"]\n)\n\nInitialize from a PALEOboxes::Model, optionally reserving memory for an assumed output dataset of nrecords.\n\nThe default for record_dim_name is :tmodel, for a sequence of records following the time evolution of the model.\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelOutput/#PALEOmodel.OutputWriters.add_record!","page":"PALEOmodel output","title":"PALEOmodel.OutputWriters.add_record!","text":"add_record!(output::PALEOmodel.AbstractOutputWriter, model, modeldata, rec_coord)\n\nAdd an output record for current state of model at record coordinate rec_coord. The usual case (set by initialize!) is that the record coordinate is model time tmodel.\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelOutput/#Modifying-output","page":"PALEOmodel output","title":"Modifying output","text":"","category":"section"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"PB.add_field!(output::PALEOmodel.AbstractOutputWriter, fr::PALEOmodel.FieldRecord) ","category":"page"},{"location":"PALEOmodelOutput/#PALEOboxes.add_field!-Tuple{PALEOmodel.AbstractOutputWriter, PALEOmodel.FieldRecord}","page":"PALEOmodel output","title":"PALEOboxes.add_field!","text":"add_field!(output::PALEOmodel.AbstractOutputWriter, fr::PALEOmodel.FieldRecord)\n\nAdd PALEOmodel.FieldRecord fr to output, with Domain and name defined by fr.attributes[:var_domain] and fr.attributes[:var_name].\n\n\n\n\n\n","category":"method"},{"location":"PALEOmodelOutput/#Querying-output","page":"PALEOmodel output","title":"Querying output","text":"","category":"section"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"PB.get_table(output::PALEOmodel.AbstractOutputWriter, domainname::AbstractString)\nPB.show_variables(output::PALEOmodel.AbstractOutputWriter)\nPB.has_variable(output::PALEOmodel.AbstractOutputWriter, varname::AbstractString)","category":"page"},{"location":"PALEOmodelOutput/#PALEOboxes.get_table-Tuple{PALEOmodel.AbstractOutputWriter, AbstractString}","page":"PALEOmodel output","title":"PALEOboxes.get_table","text":"get_table(output::PALEOmodel.AbstractOutputWriter, domainname::AbstractString) -> Table\nget_table(output::PALEOmodel.AbstractOutputWriter, varnames::Vector{<:AbstractString}) -> Table\n\nReturn a DataFrame with raw model output data for Domain domainname, or for Variables varnames\n\n\n\n\n\n","category":"method"},{"location":"PALEOmodelOutput/#PALEOboxes.show_variables-Tuple{PALEOmodel.AbstractOutputWriter}","page":"PALEOmodel output","title":"PALEOboxes.show_variables","text":"show_variables(output::PALEOmodel.AbstractOutputWriter; kwargs...) -> Table\nshow_variables(output::PALEOmodel.AbstractOutputWriter, domainname::AbstractString; kwargs...) -> Table\n\nKeywords:\n\nattributes=[:units, :vfunction, :space, :field_data, :description]: Variable attributes to include\nfilter = attrb->true: function to filter by Variable attributes. Example: filter=attrb->attrb[:vfunction]!=PB.VF_Undefined to show state Variables and derivatives.\n\nExamples:\n\njulia> vscodedisplay(PB.show_variables(run.output)) # show all output Variables in VS code table viewer\njulia> vscodedisplay(PB.show_variables(run.output, [\"atm.pCO2PAL\", \"fluxOceanBurial.flux_P_total\"])) # show subset of output Variables in VS code table viewer\n\n\n\n\n\n","category":"method"},{"location":"PALEOmodelOutput/#PALEOboxes.has_variable-Tuple{PALEOmodel.AbstractOutputWriter, AbstractString}","page":"PALEOmodel output","title":"PALEOboxes.has_variable","text":"has_variable(output::PALEOmodel.AbstractOutputWriter, varname::AbstractString) -> Bool\n\nTrue if model output contains Variable varname.\n\n\n\n\n\n","category":"method"},{"location":"PALEOmodelOutput/#Accessing-output-data","page":"PALEOmodel output","title":"Accessing output data","text":"","category":"section"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"PALEOmodel.get_array(output::PALEOmodel.AbstractOutputWriter, varname::AbstractString; kwargs...)\nPB.get_field(output::PALEOmodel.AbstractOutputWriter, varname::AbstractString)\nPB.get_data(output::PALEOmodel.AbstractOutputWriter, varname::AbstractString; records=nothing)\nPB.get_mesh(output::PALEOmodel.AbstractOutputWriter, domainname::AbstractString)","category":"page"},{"location":"PALEOmodelOutput/#PALEOmodel.get_array-Tuple{PALEOmodel.AbstractOutputWriter, AbstractString}","page":"PALEOmodel output","title":"PALEOmodel.get_array","text":"get_array(output::PALEOmodel.AbstractOutputWriter, varname::AbstractString [, allselectargs::NamedTuple] [; coords::AbstractVector]) -> FieldArray\nget_array(output::PALEOmodel.AbstractOutputWriter, varname::AbstractString; allselectargs...) -> FieldArray\n\nReturn a PALEOmodel.FieldArray containing data values and any attached coordinates.\n\nEquivalent to PALEOmodel.get_array(PB.get_field(output, varname), allselectargs [; coords]), see PALEOmodel.get_array(fr::PALEOmodel.FieldRecord).\n\n\n\n\n\n","category":"method"},{"location":"PALEOmodelOutput/#PALEOboxes.get_field-Tuple{PALEOmodel.AbstractOutputWriter, AbstractString}","page":"PALEOmodel output","title":"PALEOboxes.get_field","text":"get_field(output::PALEOmodel.AbstractOutputWriter, varname::AbstractString) -> FieldRecord\n\nReturn the PALEOmodel.FieldRecord for varname.\n\n\n\n\n\n","category":"method"},{"location":"PALEOmodelOutput/#PALEOboxes.get_data-Tuple{PALEOmodel.AbstractOutputWriter, AbstractString}","page":"PALEOmodel output","title":"PALEOboxes.get_data","text":"get_data(output::PALEOmodel.AbstractOutputWriter, varname; records=nothing) -> values\n\nGet Variable varname raw data array, optionally restricting to records\n\n\n\n\n\n","category":"method"},{"location":"PALEOmodelOutput/#PALEOboxes.get_mesh-Tuple{PALEOmodel.AbstractOutputWriter, AbstractString}","page":"PALEOmodel output","title":"PALEOboxes.get_mesh","text":"get_mesh(output::PALEOmodel.AbstractOutputWriter, domainname::AbstractString) -> grid::Union{AbstractMesh, Nothing}\n\nReturn grid for output Domain domainname.\n\n\n\n\n\n","category":"method"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"CurrentModule = PALEOmodel","category":"page"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"FieldRecord","category":"page"},{"location":"PALEOmodelOutput/#PALEOmodel.FieldRecord","page":"PALEOmodel output","title":"PALEOmodel.FieldRecord","text":"FieldRecord{FieldData <: AbstractData, Space <: AbstractSpace, V, N, Mesh, R}\nFieldRecord(dataset, f::PB.Field, attributes; [sizehint=nothing])\n\nA series of records::R each containing the values from a PALEOboxes.Field{FieldData, Space, N, V, Mesh}.\n\nImplementation\n\nFields with array values are stored in records as a Vector of arrays. Fields with single values (field_single_element true) are stored as a Vector of eltype(Field.values). \n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelOutput/#OutputMemory","page":"PALEOmodel output","title":"OutputMemory","text":"","category":"section"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"CurrentModule = PALEOmodel.OutputWriters","category":"page"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"OutputMemory\nOutputMemoryDomain","category":"page"},{"location":"PALEOmodelOutput/#PALEOmodel.OutputWriters.OutputMemory","page":"PALEOmodel output","title":"PALEOmodel.OutputWriters.OutputMemory","text":"OutputMemory(; user_data=Dict{String, UserDataTypes}())\n\nIn-memory container for model output, organized by model Domains.\n\nImplements the PALEOmodel.AbstractOutputWriter interface, with additional methods save_netcdf and load_netcdf! to save and load data.\n\nImplementation\n\nField domains::Dict{String, OutputMemoryDomain} contains per-Domain model output.\nField user_data::Dict{String, UserDataTypes} contains optional user data NB:\navailable types are restricted to those that are compatible with NetCDF attribute types, ie Float64, Int64, String, Vector{Float64}, Vector{Int64}, Vector{String}\nVectors with a single element are read back from netcdf as scalars, see https://alexander-barth.github.io/NCDatasets.jl/dev/issues/#Corner-cases\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelOutput/#PALEOmodel.OutputWriters.OutputMemoryDomain","page":"PALEOmodel output","title":"PALEOmodel.OutputWriters.OutputMemoryDomain","text":"OutputMemoryDomain\n\nIn-memory model output, for one model Domain.\n\nIncludes an additional record coordinate variable not present in Domain (usually :tmodel, when storing output vs time).\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"save_netcdf\nload_netcdf!","category":"page"},{"location":"PALEOmodelOutput/#PALEOmodel.OutputWriters.save_netcdf","page":"PALEOmodel output","title":"PALEOmodel.OutputWriters.save_netcdf","text":"save_netcdf(output::OutputMemory, filename; kwargs...)\n\nSave to filename in netcdf4 format (NB: filename must either have no extension or have extension .nc)\n\nNotes on structure of netcdf output\n\nEach PALEO Domain is written to a netcdf4 group. These can be read into a Python xarray using the group= argument to open_dataset.\nIsotope-valued variables (field_data = PB.IsotopeLinear) are written with an extra isotopelinear netCDF dimension, containing the variable total and delta.\nAny '/' characters in PALEO variables are substited for '%' in the netcdf name.\n\nKeyword arguments\n\ncheck_ext::Bool = true: check that filename ends in \".nc\"\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelOutput/#PALEOmodel.OutputWriters.load_netcdf!","page":"PALEOmodel output","title":"PALEOmodel.OutputWriters.load_netcdf!","text":"load_netcdf!(output::OutputMemory, filename)\n\nLoad from filename in netCDF format, replacing any existing content in output. (NB: filename must either have no extension or have extension .nc).\n\nExample\n\njulia> output = PALEOmodel.OutputWriters.load_netcdf!(PALEOmodel.OutputWriters.OutputMemory(), \"savedoutput.nc\")\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelOutput/#Field-Array","page":"PALEOmodel output","title":"Field Array","text":"","category":"section"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"CurrentModule = PALEOmodel","category":"page"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"FieldArray provides a generic array type with named dimensions PALEOboxes.NamedDimension and optional coordinates PALEOmodel.FixedCoord for processing of model output.","category":"page"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"FieldArray\nget_array(fr::FieldRecord)\nFixedCoord","category":"page"},{"location":"PALEOmodelOutput/#PALEOmodel.FieldArray","page":"PALEOmodel output","title":"PALEOmodel.FieldArray","text":"FieldArray\n\nA generic xarray-like or IRIS-like n-dimensional Array with named dimensions and optional coordinates.\n\nNB: this aims to be simple and generic, not efficient !!! Intended for representing model output, not for numerically-intensive calculations.\n\nFields\n\nname::String: variable name\nvalues::AbstractArray: n-dimensional Array of values\ndims_coords::Vector{Pair{PALEOboxes.NamedDimension, Vector{PALEOmodel.FixedCoord}}}: Names of dimensions with optional attached coordinates\nattributes::Union{Nothing, Dict{Symbol, Any}}: variable attributes\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelOutput/#PALEOmodel.get_array-Tuple{PALEOmodel.FieldRecord}","page":"PALEOmodel output","title":"PALEOmodel.get_array","text":"get_array(fr::FieldRecord [, allselectargs::NamedTuple] [; coords::AbstractVector]) -> fa::FieldArray\n[deprecated] get_array(fr::FieldRecord [; coords::AbstractVector] [; allselectargs...]) -> fa::FieldArray\n\nReturn a FieldArray containing an Array of values and any attached coordinates, for records and spatial region defined by allselectargs.\n\nSelecting records and regions\n\nallselectargs is a NamedTuple of form:\n\n( = , = , ... [,expand_cartesian=false] [, squeeze_all_single_dims=true])\n\nwhere is of form:\n\n_isel to select by array indices: may then be a single Int to select a single index, or a range first:last to select a range of indices.\n to select by coordinate values using the coordinates attached to each dimension: may then be a single number to select a single index corresponding to the nearest value of the corresponding coordinate, or (first::Float64, last::Float64) (a Tuple) to select a range starting at the index with the nearest value of fr.coords_record before first and ending at the nearest index after last.\n\nAvailable dimensions and coordinates depend on the FieldRecord dimensions (as returned by get_dimensions, which will be a subset of grid spatial dimensions and Domain data dimensions) and corresponding attached coordinates (as returned by get_coordinates).\n\nSome synonyms are defined for commonly used :\n\nsynonyms dimcoordname comment\nrecords _isel is usually tmodel\ncells, cell cells_isel \ncolumn= cells_isel = first:last select range of cells corresponding to column n\n\nOptional argument coords can be used to replace the attached coordinates for one or more dimensions. Format is a Vector of Pairs of \"\"=>(\"\", \"\", ...), eg to replace an nD column atmosphere model default pressure coordinate with a z coordinate:\n\ncoords=[\"cells\"=>(\"atm.zmid\", \"atm.zlower\", \"atm.zupper\")]\n\nOptional argument expand_cartesian is only needed for spatially resolved output using a CartesianLinearGrid, and should be set to true to expand compressed internal data (with spatial dimension cells) to a cartesian array (with spatial dimensions eg lon, lat, zt),\n\nDimensions corresponding to a selection for a single index or coordinate value are always squeezed out from the returned FieldArray. Optional argument squeeze_all_single_dims (default true) controls whether all output dimensions that contain a single index are squeezed out (including eg a selection for a range that results in a dimension with one index, or where the input FieldRecord contains a dimension with a single index).\n\nSelection arguments used are returned as strings in fa.attributes filter_records and filter_region for use in plot labelling etc.\n\nExamples\n\nselect a timeseries for single cell index 3\nget_array(fr, (cell=3, ))\nselect first column at nearest available time to model time 10.0\nget_array(fr, (column=1, tmodel=10.0))\nset first column at nearest available time to model time 10.0, replacing atmosphere model pressure coordinate with z coordinate:\nget_array(fr, (column=1, tmodel=10.0); coords=[\"cells\"=>(\"atm.zmid\", \"atm.zlower\", \"atm.zupper\")])\nselect surface 2D array (dimension zt, index 1) from 3D output at nearest available time to model time 10.0, expanding CartesianLinearGrid.\nget_array(fr, (zt_isel=1, tmodel=10.0, expand_cartesian=true))\nselect section 2D array at nearest index to longitude 200 degrees from 3D output at nearest available time to model time 10.0, expanding CartesianLinearGrid.\nget_array(fr, (lon=200.0, tmodel=10.0, expand_cartesian=true))\n\nLimitations\n\ntime-varying coordinates (eg a z coordinate in an atmosphere climate model) are not fully handled. If a single record is selected, the correct values for the coordinate at that time will be returned, but if multiple records are selected, the coordinate will be incorrectly fixed to the values at the time corresponding to the first record.\n\n\n\n\n\n","category":"method"},{"location":"PALEOmodelOutput/#PALEOmodel.FixedCoord","page":"PALEOmodel output","title":"PALEOmodel.FixedCoord","text":"FixedCoord(name, values::Array{Float64, N}, attributes::Dict)\n\nA fixed (state independent) coordinate\n\nThese are generated from coordinate variables for use in output visualisation.\n\nN = 1: a cell-centre coordinate, size(values) = (ncells, ) N = 2: a boundary coordinate, size(values) = (2, ncells)\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelOutput/#Plotting-output","page":"PALEOmodel output","title":"Plotting output","text":"","category":"section"},{"location":"PALEOmodelOutput/#Plot-recipes","page":"PALEOmodel output","title":"Plot recipes","text":"","category":"section"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"Plotting using the Julia Plots.jl package is implemented by plot recipes that enable plotting of PALEO data types using the plot command.","category":"page"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"The general principles are that:","category":"page"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"Data is extracted from model output into FieldArrays with attached coordinates\nVector-valued arguments are \"broadcast\" to allow multiple line plot series to be overlaid in a single plot panel","category":"page"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"CurrentModule = PALEOmodel","category":"page"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"RecipesBase.apply_recipe(::Dict{Symbol, Any}, output::AbstractOutputWriter, vars::Union{AbstractString, Vector{<:AbstractString}}, selectargs::NamedTuple)\nRecipesBase.apply_recipe(::Dict{Symbol, Any}, fr::FieldRecord, selectargs::NamedTuple)\nRecipesBase.apply_recipe(::Dict{Symbol, Any}, fa::FieldArray)","category":"page"},{"location":"PALEOmodelOutput/#RecipesBase.apply_recipe-Tuple{Dict{Symbol, Any}, PALEOmodel.AbstractOutputWriter, Union{AbstractString, Vector{var\"#s10\"} where var\"#s10\"<:AbstractString}, NamedTuple}","page":"PALEOmodel output","title":"RecipesBase.apply_recipe","text":"plot(output::AbstractOutputWriter, vars::Union{AbstractString, Vector{<:AbstractString}} [, selectargs::NamedTuple] [; coords::AbstractVector])\nheatmap(output::AbstractOutputWriter, var::AbstractString [, selectargs::NamedTuple] [; coords::AbstractVector])\nplot(outputs::Vector{<:AbstractOutputWriter}, vars::Union{AbstractString, Vector{<:AbstractString}} [, selectargs::NamedTuple] [; coords::AbstractVector])\n\nPlot recipe that calls PB.get_field(output, var), and passes on to plot(fr::FieldRecord, selectargs) (see RecipesBase.apply_recipe(::Dict{Symbol, Any}, fr::FieldRecord, selectargs::NamedTuple))\n\nVector-valued outputs or vars are \"broadcast\" to create a plot series for each element. A labelprefix (index in outputs Vector) is added to identify each plot series produced.\n\nIf var is of form .., then sets the structfield keyword argument to take a single field from a struct Variable.\n\nOptional argument coords can be used to supply plot coordinates from Variable in output. Format is a Vector of Pairs of \"coordname\"=>(\"varname1\", \"var_name2\", ...)\n\nExample: to replace a 1D column default pressure coordinate with a z coordinate:\n\ncoords=[\"z\"=>(\"atm.zmid\", \"atm.zlower\", \"atm.zupper\")]\n\n\n\n\n\n","category":"method"},{"location":"PALEOmodelOutput/#RecipesBase.apply_recipe-Tuple{Dict{Symbol, Any}, PALEOmodel.FieldRecord, NamedTuple}","page":"PALEOmodel output","title":"RecipesBase.apply_recipe","text":"plot(fr::FieldRecord, selectargs::NamedTuple)\nheatmap(fr::FieldRecord, selectargs::NamedTuple)\n\nPlot recipe to plot a single FieldRecord\n\nCalls get_array(fr, selectargs) and passes on to plot(fa::FieldArray) (see RecipesBase.apply_recipe(::Dict{Symbol, Any}, fa::FieldArray)).\n\nVector-valued fields in selectargs are \"broadcasted\" (generating a separate plot series for each combination)\n\nOptional argument coords can be used to supply plot coordinates from Variable in output. Format is a Vector of Pairs of \"coordname\"=>(\"varname1\", \"var_name2\", ...)\n\nExample: to replace a 1D column default pressure coordinate with a z coordinate:\n\ncoords=[\"z\"=>(\"atm.zmid\", \"atm.zlower\", \"atm.zupper\")]\n\n\n\n\n\n","category":"method"},{"location":"PALEOmodelOutput/#RecipesBase.apply_recipe-Tuple{Dict{Symbol, Any}, PALEOmodel.FieldArray}","page":"PALEOmodel output","title":"RecipesBase.apply_recipe","text":"plot(fa::FieldArray; kwargs...)\nheatmap(fa::FieldArray; kwargs...)\nplot(fas::Vector{<:FieldArray}; kwargs...)\n\nPlot recipe that plots a single [FieldArray] or Vector of [FieldArray]. \n\nIf fa has a single dimension, this is suitable for a line-like plot, if two dimensions, a heatmap.\n\nIf fas::Vector is supplied, this is \"broadcast\" generating one plot series for each element, with the Vector index prepended to labelprefix to identify the plot series (unless overridden by labellist or labelattribute)\n\nKeywords\n\nswap_xy::Bool=false: true to swap x and y axes \nmult_y_coord=1.0: workaround for bugs in Plots.jl heatmap yflip - multiply y coordinate by constant factor.\nstructfield::Union{Symbol, Nothing}=nothing: use field structfield from a struct-valued array.\nmap_values=PB.get_total: function to apply to y (for a 1D series) or z (for a 2D heatmap etc) before plotting \nlabelprefix=\"\": prefix for plot label.\nlabellist=[]: list of labels to override defaults\nlabelattribute=nothing: FieldArray attribute to use as label\n\n\n\n\n\n","category":"method"},{"location":"PALEOmodelOutput/#Assembling-multi-plot-panels","page":"PALEOmodel output","title":"Assembling multi-plot panels","text":"","category":"section"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"PlotPager\nDefaultPlotPager","category":"page"},{"location":"PALEOmodelOutput/#PALEOmodel.PlotPager","page":"PALEOmodel output","title":"PALEOmodel.PlotPager","text":"PlotPager(layout [, kwargs=NamedTuple()][; displayfunc=(plot, nplot)->display(plot)])\n\nAccumulate plots into subplots.\n\nlayout is supplied to Plots.jl layout keyword, may be an Int or a Tuple (ny, nx), see https://docs.juliaplots.org/latest/.\n\nOptional argument kwargs::NamedTuple provides additional keyword arguments passed through to plot (eg (legend_background_color=nothing, ) to set all subplot legends to transparent backgrounds)\n\nOptional keyword argument displayfunc::(plot, nplot)->display(plot) provides the function used to display a screen of plots, where plot is a Plot object and nplot::Integer is the sequential number of this screen.\n\nUsage\n\njulia> pp = PlotPager((2,2)) # 4 panels per screen (2 down, 2 across)\njulia> pp(plot(1:3)) # Accumulate\njulia> pp(:skip, plot(1:4), plot(1:5), plot(1:6)) # add multiple panels in one command\njulia> pp(:newpage) # flush any partial screen and start new page (NB: always add this at end of a sequence!)\n\njulia> pp = PlotPager((2, 2); displayfunc=(plot, nplot)->savefig(plot, \"plot_$nplot.png\")) # save to file instead of default display\n\nCommands\n\npp(p): accumulate plot p\npp(:skip): leave a blank panel\npp(:newpage): fill with blank panels and start new page\npp(p1, p2, ...): multiple plots/commands in one call \n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelOutput/#PALEOmodel.DefaultPlotPager","page":"PALEOmodel output","title":"PALEOmodel.DefaultPlotPager","text":"DefaultPlotPager()\n\nDummy version of PlotPager that just calls display for each plot.\n\n\n\n\n\n","category":"type"},{"location":"PALEOmodelOutput/#Analyze-reaction-network","page":"PALEOmodel output","title":"Analyze reaction network","text":"","category":"section"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"CurrentModule = PALEOmodel","category":"page"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"ReactionNetwork","category":"page"},{"location":"PALEOmodelOutput/#PALEOmodel.ReactionNetwork","page":"PALEOmodel output","title":"PALEOmodel.ReactionNetwork","text":"ReactionNetwork\n\nFunctions to analyze a PALEOboxes.Model or PALEOmodel output that contains a reaction network\n\nCompiles reaction stoichiometry and rate information from attributes attached to reaction rate variables:\n\nrate_processname::String: a process name (eg \"photolysis\", \"reaction\", ...)\nrate_species::Vector{String} names of reactant and product species\nrate_stoichiometry::Vector{Float64} stoichiometry of reactant and product species\n\n\n\n\n\n","category":"module"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"CurrentModule = PALEOmodel.ReactionNetwork","category":"page"},{"location":"PALEOmodelOutput/","page":"PALEOmodel output","title":"PALEOmodel output","text":"get_ratetable\nget_all_species_ratevars\nget_rates\nget_all_species_ratesummaries\nshow_ratesummaries","category":"page"},{"location":"PALEOmodelOutput/#PALEOmodel.ReactionNetwork.get_ratetable","page":"PALEOmodel output","title":"PALEOmodel.ReactionNetwork.get_ratetable","text":"get_ratetable(model, domainname) -> DataFrame\nget_ratetable(output, domainname) -> DataFrame\n\nGet table of rate Variables and reactions\n\nReturns a DataFrame with columns :name, :rate_processname, :rate_species, :rate_stoichiometry\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelOutput/#PALEOmodel.ReactionNetwork.get_all_species_ratevars","page":"PALEOmodel output","title":"PALEOmodel.ReactionNetwork.get_all_species_ratevars","text":"get_all_species_ratevars(model, domainname) -> OrderedDict(speciesname => [(stoich, ratevarname, processname), ...])\nget_all_species_ratevars(output, domainname) -> OrderedDict(speciesname => [(stoich, ratevarname, processname), ...])\nget_all_species_ratevars(ratetable::DataFrame) -> OrderedDict(speciesname => [(stoich, ratevarname, processname), ...])\n\nGet all species and contributing reaction rate Variable names as Dict of Tuples (stoich, ratevarname, processname) where ratevarname is the name of an output Variable with a reaction rate, stoich is the stoichiometry of that rate applied to species, and processname identifies the nature of the reaction.\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelOutput/#PALEOmodel.ReactionNetwork.get_rates","page":"PALEOmodel output","title":"PALEOmodel.ReactionNetwork.get_rates","text":"get_rates(output, domainname [, outputrec] [, indices] [, scalefac] [, add_equations] [, ratetable_source]) -> DataFrame\n\nGet all reaction rates as column rate_total for domainname from output record outputrec (defaults to last time record), for subset of cells in indices (defaults to whole domain).\n\nSet optional ratetable_source = model to use with older output that doesn't include rate variable attributes.\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelOutput/#PALEOmodel.ReactionNetwork.get_all_species_ratesummaries","page":"PALEOmodel output","title":"PALEOmodel.ReactionNetwork.get_all_species_ratesummaries","text":"get_all_species_ratesummaries(output, domainname [, outputrec] [, indices] [, scalefac] [, ratetable_source]) \n -> OrderedDict(speciesname => (source, sink, net, source_rxs, sink_rxs))\n\nGet source, sink, net rates and rates of source_rxs and sink_rxs for all species in domainname from output record outputrec (defaults to last record), cells in indices (defaults to whole domain),\n\nOptional scalefac to convert units, eg scalefac=1.90834e12 to convert mol m-2 yr-1 to molecule cm-2 s-1\n\nSet optional ratetable_source = model to use with older output that doesn't include rate variable attributes.\n\n\n\n\n\n","category":"function"},{"location":"PALEOmodelOutput/#PALEOmodel.ReactionNetwork.show_ratesummaries","page":"PALEOmodel output","title":"PALEOmodel.ReactionNetwork.show_ratesummaries","text":"show_ratesummaries([io::IO = stdout], ratesummaries [; select_species=[]])\n\nPrint per-species reaction rates from ratesummaries to output stream io (defaults to stdout), optionally selecting species to print.\n\nExample\n\nratesummaries = PALEOmodel.ReactionNetwork.get_all_species_ratesummaries(output, \"atm\")\nPALEOmodel.ReactionNetwork.show_ratesummaries(ratesummaries)\n\n\n\n\n\n","category":"function"},{"location":"#PALEOmodel.jl","page":"PALEOmodel.jl","title":"PALEOmodel.jl","text":"","category":"section"},{"location":"","page":"PALEOmodel.jl","title":"PALEOmodel.jl","text":"CurrentModule = PALEOmodel","category":"page"},{"location":"","page":"PALEOmodel.jl","title":"PALEOmodel.jl","text":"The PALEOmodel Julia package provides modules to create and solve a standalone PALEOboxes.Model, and to analyse output interactively from the Julia REPL. It implements:","category":"page"},{"location":"","page":"PALEOmodel.jl","title":"PALEOmodel.jl","text":"Numerical solvers (see PALEOmodel solvers)\nData structures to hold model output (see Output)\nOutput plot recipes (see Plotting output)","category":"page"},{"location":"","page":"PALEOmodel.jl","title":"PALEOmodel.jl","text":"For examples and further information see the documentation for other PALEOtoolkit components and repositories:","category":"page"},{"location":"","page":"PALEOmodel.jl","title":"PALEOmodel.jl","text":"PALEOtutorials documentation for tutorial examples.\nPALEOcopse documentation an example of a larger model configuration.\nPALEOboxes documentation, the PALEO framework model coupler.","category":"page"},{"location":"","page":"PALEOmodel.jl","title":"PALEOmodel.jl","text":"PALEO documentation follows the recommendations from https://documentation.divio.com/","category":"page"},{"location":"HOWTOsmallnegativevalues/#Managing-small-and-negative-values","page":"Managing small and negative values","title":"Managing small and negative values","text":"","category":"section"},{"location":"HOWTOsmallnegativevalues/","page":"Managing small and negative values","title":"Managing small and negative values","text":"It is common for biogeochemical reservoirs to both (i) be required to be non-negative, and (ii) approach zero (eg oxygen below the oxic layer in a sediment). This requires some explicit management to allow the numerical ODE / DAE solvers to operate stably and efficiently.","category":"page"},{"location":"HOWTOsmallnegativevalues/","page":"Managing small and negative values","title":"Managing small and negative values","text":"PALEO follows the recommended best practice for Sundials CVODE and other adaptive solvers (also including those in MATLAB), which is to allow -ve values within the error tolerance, and set rates to zero when this happens.","category":"page"},{"location":"HOWTOsmallnegativevalues/","page":"Managing small and negative values","title":"Managing small and negative values","text":"This is a FAQ for CVODE, https://computing.llnl.gov/projects/sundials/faq#cvode_negvals, '... Remember that a small negative value in y returned by CVODE, with magnitude comparable to abstol or less, is equivalent to zero as far as the computation is concerned. .... '. See (Shampine et al., 2005) for a detailed discussion.","category":"page"},{"location":"HOWTOsmallnegativevalues/","page":"Managing small and negative values","title":"Managing small and negative values","text":"There are three areas that need to be addressed:","category":"page"},{"location":"HOWTOsmallnegativevalues/","page":"Managing small and negative values","title":"Managing small and negative values","text":"When calculating biogeochemical reaction rates that depend on myvar, use max(myvar, 0.0) or similar everywhere to set rates to zero for -ve values. Linear transport processes (eg diffusion, flux transport) should transport -ve values to maintain conservation properties.\nSet the abstol solver option to control errors for near-zero values of state Variables, see DifferentialEquations solvers. The default value will often be too high. In some cases, it may be most efficient to tolerate -ve values, in other cases, it may be most efficient to control errors using a combination of reltol and abstol so that -ve values are not generated. The easiest way to set abstol in PALEO is to use abstol=1e-5*PALEOmodel.get_statevar_norm(modeldata.solver_view_all) to set to a small fraction (here 1e-5, experimentation will be needed) of the state variables' norm_value attributes (these are set in the .yaml configuration file). \nDefend against -ve values when using plots with log scales by explicitly setting an axis lower limit eg ylim=(1e-9, Inf) (without this, the autoscaling will fail and possible produce strange-looking plots eg with inverted axes). See https://docs.juliaplots.org/latest/generated/attributes_axis/","category":"page"}] +} diff --git a/v0.16.1/siteinfo.js b/v0.16.1/siteinfo.js new file mode 100644 index 0000000..afd23cc --- /dev/null +++ b/v0.16.1/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "v0.16.1"; diff --git a/versions.js b/versions.js index 2af8a68..1d16b0e 100644 --- a/versions.js +++ b/versions.js @@ -5,5 +5,5 @@ var DOC_VERSIONS = [ "v0.14", "dev", ]; -var DOCUMENTER_NEWEST = "v0.16.0"; +var DOCUMENTER_NEWEST = "v0.16.1"; var DOCUMENTER_STABLE = "stable";