text:
using JuMP, EAGO

                     m = Model()

                     EAGO.register_eago_operators!(m)

                     @variable(m, -1 <= x[i=1:3] <= 1)

                     @variable(m, -253.46990028842683 <= q <= 245.8372609992101)

                     add_NL_constraint(m, :(gelu(-0.8745045561235756 + 0.8574583839524963*gelu(-0.8148921789028725 + -0.8070900463608353*gelu(-0.49761769311454485 + -0.22213199258644734*gelu(-0.6103560405889183 + 0.36632332425536385*$(x[1]) + 0.836177977326777*$(x[2]) + 0.471911030333799*$(x[3])) + 0.8049632571685996*gelu(-0.8683682758993592 + 0.8003739773755116*$(x[1]) + 0.565227427547613*$(x[2]) + -0.8392489011970379*$(x[3])) + -0.9286938214111595*gelu(-0.7362822714764312 + 0.9747841127213621*$(x[1]) + -0.21352254648976166*$(x[2]) + 0.061072592735549325*$(x[3])) + -0.3073106594675563*gelu(0.13643777251788336 + -0.0866090820908405*$(x[1]) + 0.2805460378403484*$(x[2]) + 0.5428754903364124*$(x[3])) + 0.8695726760069991*gelu(0.6525028360557972 + -0.8106381572849606*$(x[1]) + 0.6406477154456462*$(x[2]) + -0.9825238640501048*$(x[3]))) + -0.08349363908371199*gelu(-0.9682151525631699 + -0.31865386435786514*gelu(-0.6103560405889183 + 0.36632332425536385*$(x[1]) + 0.836177977326777*$(x[2]) + 0.471911030333799*$(x[3])) + -0.6764275722536213*gelu(-0.8683682758993592 + 0.8003739773755116*$(x[1]) + 0.565227427547613*$(x[2]) + -0.8392489011970379*$(x[3])) + 0.8048989611376167*gelu(-0.7362822714764312 + 0.9747841127213621*$(x[1]) + -0.21352254648976166*$(x[2]) + 0.061072592735549325*$(x[3])) + -0.40281999627610166*gelu(0.13643777251788336 + -0.0866090820908405*$(x[1]) + 0.2805460378403484*$(x[2]) + 0.5428754903364124*$(x[3])) + 0.51766223971652*gelu(0.6525028360557972 + -0.8106381572849606*$(x[1]) + 0.6406477154456462*$(x[2]) + -0.9825238640501048*$(x[3]))) + -0.971233778705328*gelu(0.981461512474934 + 0.10059229314041929*gelu(-0.6103560405889183 + 0.36632332425536385*$(x[1]) + 0.836177977326777*$(x[2]) + 0.471911030333799*$(x[3])) + 0.8136392735868805*gelu(-0.8683682758993592 + 0.8003739773755116*$(x[1]) + 0.565227427547613*$(x[2]) + -0.8392489011970379*$(x[3])) + 0.7854042536624197*gelu(-0.7362822714764312 + 0.9747841127213621*$(x[1]) + -0.21352254648976166*$(x[2]) + 0.061072592735549325*$(x[3])) + 0.7848370235537936*gelu(0.13643777251788336 + -0.0866090820908405*$(x[1]) + 0.2805460378403484*$(x[2]) + 0.5428754903364124*$(x[3])) + -0.6770525993725101*gelu(0.6525028360557972 + -0.8106381572849606*$(x[1]) + 0.6406477154456462*$(x[2]) + -0.9825238640501048*$(x[3]))) + -0.30782396850444993*gelu(0.8995170622718858 + -0.6883437082928356*gelu(-0.6103560405889183 + 0.36632332425536385*$(x[1]) + 0.836177977326777*$(x[2]) + 0.471911030333799*$(x[3])) + 0.9298147824229446*gelu(-0.8683682758993592 + 0.8003739773755116*$(x[1]) + 0.565227427547613*$(x[2]) + -0.8392489011970379*$(x[3])) + 0.4190720445445484*gelu(-0.7362822714764312 + 0.9747841127213621*$(x[1]) + -0.21352254648976166*$(x[2]) + 0.061072592735549325*$(x[3])) + 0.15431944459530644*gelu(0.13643777251788336 + -0.0866090820908405*$(x[1]) + 0.2805460378403484*$(x[2]) + 0.5428754903364124*$(x[3])) + -0.6281436141793897*gelu(0.6525028360557972 + -0.8106381572849606*$(x[1]) + 0.6406477154456462*$(x[2]) + -0.9825238640501048*$(x[3]))) + -0.8825792170423492*gelu(0.24894349624651735 + 0.802896949358141*gelu(-0.6103560405889183 + 0.36632332425536385*$(x[1]) + 0.836177977326777*$(x[2]) + 0.471911030333799*$(x[3])) + -0.6967987004149667*gelu(-0.8683682758993592 + 0.8003739773755116*$(x[1]) + 0.565227427547613*$(x[2]) + -0.8392489011970379*$(x[3])) + 0.7127832339786528*gelu(-0.7362822714764312 + 0.9747841127213621*$(x[1]) + -0.21352254648976166*$(x[2]) + 0.061072592735549325*$(x[3])) + 0.2647507422856603*gelu(0.13643777251788336 + -0.0866090820908405*$(x[1]) + 0.2805460378403484*$(x[2]) + 0.5428754903364124*$(x[3])) + 0.8721957726435252*gelu(0.6525028360557972 + -0.8106381572849606*$(x[1]) + 0.6406477154456462*$(x[2]) + -0.9825238640501048*$(x[3])))) + -0.32464556486203033*gelu(-0.7283311971602457 + 0.2708221246201541*gelu(-0.49761769311454485 + -0.22213199258644734*gelu(-0.6103560405889183 + 0.36632332425536385*$(x[1]) + 0.836177977326777*$(x[2]) + 0.471911030333799*$(x[3])) + 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-0.40281999627610166*gelu(0.13643777251788336 + -0.0866090820908405*$(x[1]) + 0.2805460378403484*$(x[2]) + 0.5428754903364124*$(x[3])) + 0.51766223971652*gelu(0.6525028360557972 + -0.8106381572849606*$(x[1]) + 0.6406477154456462*$(x[2]) + -0.9825238640501048*$(x[3]))) + -0.4778164911957532*gelu(0.981461512474934 + 0.10059229314041929*gelu(-0.6103560405889183 + 0.36632332425536385*$(x[1]) + 0.836177977326777*$(x[2]) + 0.471911030333799*$(x[3])) + 0.8136392735868805*gelu(-0.8683682758993592 + 0.8003739773755116*$(x[1]) + 0.565227427547613*$(x[2]) + -0.8392489011970379*$(x[3])) + 0.7854042536624197*gelu(-0.7362822714764312 + 0.9747841127213621*$(x[1]) + -0.21352254648976166*$(x[2]) + 0.061072592735549325*$(x[3])) + 0.7848370235537936*gelu(0.13643777251788336 + -0.0866090820908405*$(x[1]) + 0.2805460378403484*$(x[2]) + 0.5428754903364124*$(x[3])) + -0.6770525993725101*gelu(0.6525028360557972 + -0.8106381572849606*$(x[1]) + 0.6406477154456462*$(x[2]) + -0.9825238640501048*$(x[3]))) + -0.6740593243689394*gelu(0.8995170622718858 + -0.6883437082928356*gelu(-0.6103560405889183 + 0.36632332425536385*$(x[1]) + 0.836177977326777*$(x[2]) + 0.471911030333799*$(x[3])) + 0.9298147824229446*gelu(-0.8683682758993592 + 0.8003739773755116*$(x[1]) + 0.565227427547613*$(x[2]) + -0.8392489011970379*$(x[3])) + 0.4190720445445484*gelu(-0.7362822714764312 + 0.9747841127213621*$(x[1]) + -0.21352254648976166*$(x[2]) + 0.061072592735549325*$(x[3])) + 0.15431944459530644*gelu(0.13643777251788336 + -0.0866090820908405*$(x[1]) + 0.2805460378403484*$(x[2]) + 0.5428754903364124*$(x[3])) + -0.6281436141793897*gelu(0.6525028360557972 + -0.8106381572849606*$(x[1]) + 0.6406477154456462*$(x[2]) + -0.9825238640501048*$(x[3]))) + -0.735740749484374*gelu(0.24894349624651735 + 0.802896949358141*gelu(-0.6103560405889183 + 0.36632332425536385*$(x[1]) + 0.836177977326777*$(x[2]) + 0.471911030333799*$(x[3])) + -0.6967987004149667*gelu(-0.8683682758993592 + 0.8003739773755116*$(x[1]) + 0.565227427547613*$(x[2]) + -0.8392489011970379*$(x[3])) + 0.7127832339786528*gelu(-0.7362822714764312 + 0.9747841127213621*$(x[1]) + -0.21352254648976166*$(x[2]) + 0.061072592735549325*$(x[3])) + 0.2647507422856603*gelu(0.13643777251788336 + -0.0866090820908405*$(x[1]) + 0.2805460378403484*$(x[2]) + 0.5428754903364124*$(x[3])) + 0.8721957726435252*gelu(0.6525028360557972 + -0.8106381572849606*$(x[1]) + 0.6406477154456462*$(x[2]) + -0.9825238640501048*$(x[3])))) + 0.6461051044111454*gelu(0.5714089557267781 + 0.3973478224196665*gelu(-0.49761769311454485 + -0.22213199258644734*gelu(-0.6103560405889183 + 0.36632332425536385*$(x[1]) + 0.836177977326777*$(x[2]) + 0.471911030333799*$(x[3])) + 0.8049632571685996*gelu(-0.8683682758993592 + 0.8003739773755116*$(x[1]) + 0.565227427547613*$(x[2]) + -0.8392489011970379*$(x[3])) + -0.9286938214111595*gelu(-0.7362822714764312 + 0.9747841127213621*$(x[1]) + -0.21352254648976166*$(x[2]) + 0.061072592735549325*$(x[3])) + -0.3073106594675563*gelu(0.13643777251788336 + -0.0866090820908405*$(x[1]) + 0.2805460378403484*$(x[2]) + 0.5428754903364124*$(x[3])) + 0.8695726760069991*gelu(0.6525028360557972 + -0.8106381572849606*$(x[1]) + 0.6406477154456462*$(x[2]) + -0.9825238640501048*$(x[3]))) + -0.282908664323529*gelu(-0.9682151525631699 + -0.31865386435786514*gelu(-0.6103560405889183 + 0.36632332425536385*$(x[1]) + 0.836177977326777*$(x[2]) + 0.471911030333799*$(x[3])) + -0.6764275722536213*gelu(-0.8683682758993592 + 0.8003739773755116*$(x[1]) + 0.565227427547613*$(x[2]) + -0.8392489011970379*$(x[3])) + 0.8048989611376167*gelu(-0.7362822714764312 + 0.9747841127213621*$(x[1]) + -0.21352254648976166*$(x[2]) + 0.061072592735549325*$(x[3])) + -0.40281999627610166*gelu(0.13643777251788336 + -0.0866090820908405*$(x[1]) + 0.2805460378403484*$(x[2]) + 0.5428754903364124*$(x[3])) + 0.51766223971652*gelu(0.6525028360557972 + -0.8106381572849606*$(x[1]) + 0.6406477154456462*$(x[2]) + -0.9825238640501048*$(x[3]))) + 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0.565227427547613*$(x[2]) + -0.8392489011970379*$(x[3])) + 0.4190720445445484*gelu(-0.7362822714764312 + 0.9747841127213621*$(x[1]) + -0.21352254648976166*$(x[2]) + 0.061072592735549325*$(x[3])) + 0.15431944459530644*gelu(0.13643777251788336 + -0.0866090820908405*$(x[1]) + 0.2805460378403484*$(x[2]) + 0.5428754903364124*$(x[3])) + -0.6281436141793897*gelu(0.6525028360557972 + -0.8106381572849606*$(x[1]) + 0.6406477154456462*$(x[2]) + -0.9825238640501048*$(x[3]))) + 0.604764211580989*gelu(0.24894349624651735 + 0.802896949358141*gelu(-0.6103560405889183 + 0.36632332425536385*$(x[1]) + 0.836177977326777*$(x[2]) + 0.471911030333799*$(x[3])) + -0.6967987004149667*gelu(-0.8683682758993592 + 0.8003739773755116*$(x[1]) + 0.565227427547613*$(x[2]) + -0.8392489011970379*$(x[3])) + 0.7127832339786528*gelu(-0.7362822714764312 + 0.9747841127213621*$(x[1]) + -0.21352254648976166*$(x[2]) + 0.061072592735549325*$(x[3])) + 0.2647507422856603*gelu(0.13643777251788336 + -0.0866090820908405*$(x[1]) + 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                     @objective(m, Min, q)

                     return m

max_stars_repo_name: PSORLab/RSActivationFunctions

max_issues_repo_name: PSORLab/RSActivationFunctions

max_forks_repo_name: PSORLab/RSActivationFunctions


text:
function main()
    println(join([2], " "))
    println(join(["b"], " "))
    println(join([2, "b"], " "))
end

ext: jl


text:
function set_buoyancy!(model; z_position=0.6, width=0.3, amplitude=-1e-1)
    y_position = 0.0
    circ(x,y,z) = width>sqrt((y-y_position)^2 + (z+z_position)^2)
    initial_buoyancy(x,y,z) = amplitude*circ(x,y,z)
    set!(model, b=initial_buoyancy)
    return nothing
end


text:
using GRMakie

using AbstractPlotting, MakieGallery

using Test

include("saving.jl")
#
# database = MakieGallery.load_database(["short_tests.jl"]);
#
# filter!(database) do example
#     !("3d" ∈ example.tags) &&
#     !("heatmap" in entry.tags) &&
#     !("image" in entry.tags) &&
#     !(lowercase(entry.title) ∈ (
#         "arrows on hemisphere", "cobweb plot", "lots_of_heatmaps",
#         "streamplot animation", "test heatmap + image overlap", "lots of heatmaps"
#     ))
# end
#


text:
module MaxHelpingHandCameraOffsetBorder

using ..Ahorn, Maple

@mapdef Trigger "MaxHelpingHand/CameraOffsetBorder" CameraOffsetBorder(x::Integer, y::Integer, width::Integer=Maple.defaultTriggerWidth, height::Integer=Maple.defaultTriggerHeight,
    topLeft::Bool=true, topCenter::Bool=true, topRight::Bool=true, centerLeft::Bool=true, centerRight::Bool=true, bottomLeft::Bool=true, bottomCenter::Bool=true, bottomRight::Bool=true,
    flag::String="", inside::Bool=false, inverted::Bool=false)

const placements = Ahorn.PlacementDict(
    "Camera Offset Border (max480's Helping Hand)" => Ahorn.EntityPlacement(
        CameraOffsetBorder,
        "rectangle"
    )
)

Ahorn.editingOrder(entity::CameraOffsetBorder) = String["x", "y", "width", "height", "topLeft", "topCenter", "topRight", "centerLeft", "centerRight", "bottomLeft", "bottomCenter", "bottomRight", "flag", "inverted", "inside"]

end


text:
# by lazarusA # HIDE
# using GLMakie # HIDE
using CairoMakie
function EpicycloidLines()
    ecycl_x(r,k,θ) = r*(k .+ 1).*cos.(θ) .- r*cos.((k .+ 1) .* θ)
    ecycl_y(r,k,θ) = r*(k .+ 1).*sin.(θ) .- r*sin.((k .+ 1) .* θ)
    θ = LinRange(0,6.2π,1000)
    tronLegacy = ["#FF410DFF", "#6EE2FFFF", "#F7C530FF", "#95CC5EFF",
    "#D0DFE6FF", "#F79D1EFF", "#748AA6FF"];

    fig = Figure(resolution = (470, 400), font = :sans)
    ax = Axis(fig, aspect =1,title = "Epicycloid",
        xlabel = "x(θ) = r(k+1)cos(θ) -rcos((k+1)θ)",
        ylabel ="y(θ) = r(k+1)cos(θ) -rcos((k+1)θ)")
    lins = [lines!(ecycl_x(2k,k,θ), ecycl_y(2k,k,θ), linewidth = 1.5,
            color = tronLegacy[indx]) for (indx,k) in enumerate(2:0.5:5)]
    leg = Legend(fig, lins, string.(2:0.5:5), "k , r=2k", nbanks = 1)
    fig[1, 1] = ax
    fig[1, 2] = leg
    fig
end
fig = with_theme(EpicycloidLines, theme_black())
save(joinpath(@__DIR__, "output", "themeBlack.png"), fig, px_per_unit = 2) # HIDE
using Pkg # HIDE
Pkg.status("CairoMakie") # HIDE

max_stars_repo_name: MisterBiggs/BeautifulMakie

max_issues_repo_name: MisterBiggs/BeautifulMakie

max_forks_repo_name: MisterBiggs/BeautifulMakie


text:
include("nomain.jl")

@show PROGRAM_FILE
@show @__DIR__
@show @__LINE__
@show abspath(PROGRAM_FILE) == @__FILE__

max_stars_repo_name: terasakisatoshi/juliaExer

max_issues_repo_name: terasakisatoshi/juliaExer

max_forks_repo_name: terasakisatoshi/juliaExer


text:
"""

    E1func(x)

Compute the exponential integral function ``E_{1}(x)`` for a real number `x`. This function
returns zero if `x` is larger than 700, or `Inf + pi*1im` if `x` is smaller than -700. (This
definition also defines the branch taken in the complex plane for ``x < 0``.) Note that even
though ``E_{1}(x)`` is real for ``x > 0``, the result of `E1func(x)` is cast as a complex
type, based on the type of `x`, for consistency.

This is a reimplementation of code at
`https://github.com/mitmath/18S096/blob/iap2017/pset3/pset3-solutions.ipynb` by Steven G.
Johnson, based on a combination of Taylor series and continued fraction expansions.

See also: [`E1taylor`](@ref), [`E1cf`](@ref)

"""
function E1func(x::AbstractFloat)

    if (x < -700*one(x))
        return Inf + pi*1im;
    elseif (x > 700*one(x))
        return zero(complex(x));
    else

        currfunc = E1taylor;
        if (x < -30*one(x) || x > 3*one(x))
            currfunc = E1cf;
        end
        mymaxorder = round(Int, 2 + 23/(1 + ((log10(abs(x)) - 0.4)/1.0)^2)); # useful empirical rule of thumb for largest order needed for positive x
        if (x < zero(x))
            mymaxorder = round(Int, 1 + 70/(1 + (log10(abs(x)) - 1.5)^2)); # useful empirical rule of thumb for largest order needed for negative x
        end
        myE1 = currfunc(x, mymaxorder);
        if (x < zero(x))
            return (complex(myE1) + pi*1im);
        end
        return complex(myE1);

    end

end

E1func(x::Real) = E1func(float(x));

"""

    E1taylor(x, maxorder)

Compute the exponential integral function ``E_{1}(x)`` for a real number `x`, using the
Taylor series expansion up to a maximum order `maxorder`. This function works best for
``-30 \\leq x \\leq 3``.

This is a reimplementation of code at
`https://github.com/mitmath/18S096/blob/iap2017/pset3/pset3-solutions.ipynb` by Steven G.
Johnson.

See also: [`E1func`](@ref), [`E1cf`](@ref)

"""
function E1taylor(x::AbstractFloat, maxorder::Integer)

    E1 = -1*MathConstants.eulergamma - log(abs(x));
    currterm = -1*x;
    E1 = E1 - currterm;

    for nn=2:maxorder

        currterm = -1*x*(nn-1)/(nn^2) * currterm;
        E1 = E1 - currterm;

    end

    return E1;

end

E1taylor(x::Real, maxorder::Integer) = E1taylor(float(x), maxorder);

"""

    E1cf(x, maxorder)

Compute the exponential integral function ``E_{1}(x)`` for a real number `x`, using the
continued fraction expansion up to a maximum order `maxorder`. This function works best for
``x < -30`` or ``x > 3``.

This is a reimplementation of code at
`https://github.com/mitmath/18S096/blob/iap2017/pset3/pset3-solutions.ipynb` by Steven G.
Johnson.

See also: [`E1func`](@ref), [`E1taylor`](@ref)

"""
function E1cf(x::AbstractFloat, maxorder::Integer)

    currcf = x;
    for nn=maxorder:-1:1
        currcf = x + (1+nn)/currcf;
        currcf = 1 + nn/currcf;
    end
    return (exp(-1*x)/(x + 1/currcf));

end

E1cf(x::Real, maxorder::Integer) = E1cf(float(x), maxorder);