text:
# 145 is a curious number, as 1! + 4! + 5! = 1 + 24 + 120 = 145.
#
# Find the sum of all numbers which are equal to the sum of the factorial of
# their digits.
#
# Note: as 1! = 1 and 2! = 2 are not sums they are not included.

using ProjectEulerSolutions

# Precompute one digit factorials, use mapreduce to quickly calculate sums of
# factorials of digits.
function p034solution()::Integer
    facs = map(factorial, 0:9) # precompute digit factorials
    sums = 0
    for i in 11:99999 # Arbitrary upper bound?
        if mapreduce(x -> facs[x + 1], +, digits(i)) == i
            sums += i
        end
    end
    return sums
end

p034 = Problems.Problem(p034solution)

Problems.benchmark(p034)

max_stars_repo_name: gnujosh/julia-euler-project

max_issues_repo_name: gnujosh/julia-euler-project

max_forks_repo_name: gnujosh/julia-euler-project


text:
using Vectorize
VML = Vectorize.VML

if VERSION >= v"0.5-"
    using Base.Test
else
    using BaseTestNext
    const Test = BaseTestNext
end

println("===== Testing Intel's VML =====")
# Length of test array
N = 1000
srand(13)

# Test basic utility functionality
@testset "VML: Basic Functionality" begin
    mode = VML.getmode()
    @test mode == VML.setmode(VML.VML_HA)
    @test typeof(VML.setmode(VML.VML_HA)) <: Integer
end

# Real Arithmetic
for T in [Float32, Float64]
    @testset "VML: Basic Arithmetic::$T" begin
        X = convert(Vector{T}, abs(randn(N)))
        Y = convert(Vector{T}, abs(randn(N)))
        @testset "Testing $f::$T" for (f, fb) in [(:add, .+), (:sub, .-), (:div, ./), (:mul, .*),
                                                  (:hypot, :hypot), (:atan2, :atan2), (:pow, .^)]
            @eval fbase = $fb
            @eval fvml = Vectorize.VML.$f
            @test fbase(X, Y) ≈ fvml(X, Y)
        end
    end
end

# Complex Arithmetic
for T in [Complex{Float32}, Complex{Float64}]
    @testset "VML: Complex Arithmetic::$T" begin
        X = convert(Vector{T}, randn(N)) + convert(Vector{T}, randn(N))*im
        Y = convert(Vector{T}, randn(N)) + convert(Vector{T}, randn(N))*im
        @testset "Testing $f::$T" for (f, fb) in [(:add, .+), (:sub, .-), (:div, ./), (:mul, .*),
                                                  (:pow, .^)]
            @eval fbase = $fb
            @eval fvml = Vectorize.VML.$f
            @test fbase(X, Y) ≈ fvml(X, Y)
        end

        @testset "Testing $f::$T" for f in [:mulbyconj]
            @eval fvml = Vectorize.VML.$f
            @test X .* conj(Y) ≈ fvml(X, Y)
        end
    end
end

# Real Vector Math
for T in [Float32, Float64]
    @testset "VML: Real Vector Math::$T" begin
        X = convert(Vector{T}, randn(N)) # unrestricted
        Y = convert(Vector{T}, abs(randn(N))) .+ 1 # greater than 1
        Z = clamp(convert(Vector{T}, randn(N)), -1,  1) # [-1, 1]
        W = clamp(convert(Vector{T}, randn(N)), 0,  2) # [0, 2]
        @testset "Testing $f::$T" for f in [:exp, :abs, :ceil, :floor, :round,
                                            :trunc, :cos, :sin, :tan, :cosh, :sinh, :tanh,
                                            :cbrt, :erf, :erfc, :lgamma, :gamma]
            @eval fb = $f
            @eval fvml = Vectorize.VML.$f
            @test fb(X) ≈ fvml(X)
        end

        @testset "Testing $f::$T" for f in [:sqrt, :log10, :acosh, :asinh, :log]
            @eval fb = $f
            @eval fvml = Vectorize.VML.$f
            @test fb(Y) ≈ fvml(Y)
        end

        # @testset "Testing $f::$T" for f in [:erfcinv]
        #     @eval fb = $f
        #     @eval fvml = Vectorize.VML.$f
        #     @test fb(W) ≈ fvml(W)
        # end

        @testset "Testing $f::$T" for f in [:acos, :asin, :atan, :atanh] #, :erfinv]
            @eval fb = $f
            @eval fvml = Vectorize.VML.$f
            @test fb(Z) ≈ fvml(Z)
        end
    end
end

# Complex Vector Math
for T in [Complex{Float32}, Complex{Float64}]
    @testset "VML: Complex Vector Functions::$T" begin
        X = convert(Vector{T}, complex(randn(N)))
        @testset "Testing $f::$T" for f in [:exp, :abs, :cos, :sin, :tan, :cosh, :sinh, :tanh,
                                            :sqrt, :log10, :acosh, :asinh, :log, :acos, :asin,
                                            :atan, :atanh, :conj]
            @eval fb = $f
            @eval fvml = Vectorize.VML.$f
            @test fb(X) ≈ fvml(X)
        end

        @testset "Testing $f::$T" for f in []
            @eval fb = $f
            @eval fvml = Vectorize.VML.$f
            @test fb(Y) ≈ fvml(Y)
        end

        @testset "Testing $f::$T" for f in []
            @eval fb = $f
            @eval fvml = Vectorize.VML.$f
            @test fb(Z) ≈ fvml(Z)
        end
    end
end

println("===== VML Tests Successful =====\n\n")

ext: jl


text:
using Polynomials, SimplePartitions
import Base.length, Base.setindex!, Base.getindex
export chrome_poly, reset_cpm, size_cpm

const CPM_pair = Tuple{SimpleGraph,Poly{Int}}
const CPM_dict = Dict{UInt64,Vector{CPM_pair}}

# This is a device to record previously computed chromatic polynomials
mutable struct ChromePolyMemo
    D::CPM_dict
    function ChromePolyMemo()
        new( CPM_dict() )
    end
end

_CPM = ChromePolyMemo()

"""
`reset_cpm()` clears the datastructure of previously computed
chromatic polynomials.
"""
function reset_cpm()
    global _CPM = ChromePolyMemo()
    return true
end

"""
`size_cpm()` reports the number of graphs held in the datastructure of
previously computed chromatic polynomials.
"""
function size_cpm()
    return length(_CPM)
end

function show(io::IO, CPM::ChromePolyMemo)
    print(io,"ChromePolyMemo with $(length(CPM)) graphs")
end

function length(CPM::ChromePolyMemo)
    result = 0
    for ds in keys(CPM.D)
        result += length(CPM.D[ds])
    end
    return result
end

"""
`remember!(CPM,G,P)` save the polynomial `P` associated with `G` in
this data structure (if it wasn't in there already).

Short form: `CPM[G] = P`.
"""
function remember!(CPM::ChromePolyMemo, G::SimpleGraph, P::Poly{Int})
    index::Int128 = uhash(G)  # get the signature for this graph

    # have we seen this graph's uhash before?
    # if no, create a new entry in the Memo
    if !haskey(CPM.D,index)
        CPM.D[index] = [(G,P)]
        return
    end

    # Otherwise, look through the values associated with this uhash to
    # see if we've seen this graph (or one isomorphic to it) before.

    # Recall those graphs with matching uhash
    for (H,Q) in CPM.D[index]
        if is_iso(G,H) # if isomorphic, nothing to add
            return
        end
    end

    # otherwise, add this polynomial to the end of the list
    push!(CPM.D[index], (G,P))
end

setindex!(CPM,P,G) = remember!(CPM,G,P)

"""
`recall(CPM,G)` look up in CPM to see if we have already computed the
chromatic polynomial of this graph (or something isomorphic to it).

Short form: `P = CPM[G]`.
"""
function recall(CPM::ChromePolyMemo, G::SimpleGraph)
    ds = uhash(G)
    SG = CPM.D[ds]  # This may throw an error if not found. That's good.

    for (H,Q) in SG
        if is_iso(G,H)
            return Q
        end
    end

    # Not found, so it's an error
    error("Graph not found")
end

getindex(CPM,G) = recall(CPM,G)

"""
`chrome_poly(G)` computes the chromatic polynomial of the graph `G`.
If `G` is a directe graph, this returns the chromatic polynomial of
`G`'s underlying simple graph.

This function builds a datastructure to prevent computing the
chromatic polynomial of the same graph twice. To do this, it uses
frequent isomorphism checks.

See `size_cpm` and `reset_cpm`.
"""
function chrome_poly(G::SimpleGraph) #, CPM::ChromePolyMemo = _CPM)
  if cache_check(G,:chrome_poly)
    return G.cache[:chrome_poly]
  end

    n::Int = NV(G)
    m::Int = NE(G)

    # Special case: no vertices
    if n==0
        return Poly([1])
    end

    # Special case: no edges
    if m==0
        return Poly([zeros(Int,n);1])
    end

    # Special case: complete graph
    if 2m == n*(n-1)
        return poly(0:n-1)
    end

    # Special case: disconnected graph
    comps = parts(components(G))
    if length(comps) > 1
        result = Poly([1])
        for A in comps
            H = induce(G,A)
            result *= chrome_poly(H)
        end
        return result
    end

    # Special case: Tree
    if m == n-1
        return Poly([0,1]) * Poly([-1,1])^(n-1)
    end

    # See if we've computed this chromatic polynomial of this graph before
    try P = _CPM[G]
        return P
    catch
    end

    # Resort to inclusion/exclusion

    # Find a vertex u of minimum degree
    min_d = minimum(deg(G))
    smalls = filter(v -> deg(G,v) == min_d, G.V)
    u = first(smalls)

    # And choose any neighbor
    v = first(G[u])

    # Special case to speed up handling leaves
    if min_d==1
        GG = deepcopy(G)
        delete!(GG,u)
        p1 = chrome_poly(GG)
        P = p1 * Poly([-1,1])
        _CPM[G] = P
        return P
    end

    # p1 is chrome_poly of G-e
    GG = deepcopy(G)
    delete!(GG,u,v)
    p1 = chrome_poly(GG)

    # p2 is chrome_poly of G/e
    GG = deepcopy(G)
    contract!(GG,u,v)
    p2 = chrome_poly(GG)

    P = p1 - p2

    _CPM[G] = P # save in case we see this graph again
    G.cache[:chrome_poly] = P  # and save in graph's cache too
    return P
end

chrome_poly(G::SimpleDigraph) = chrome_poly(simplify(G))


text:
module SymbolicUtils

const TIMER_OUTPUTS = true
const being_timed = Ref{Bool}(false)

if TIMER_OUTPUTS
    using TimerOutputs

    macro timer(name, expr)
        :(if being_timed[]
              @timeit $(esc(name)) $(esc(expr))
          else
              $(esc(expr))
          end)
    end

    macro iftimer(expr)
        esc(expr)
    end

else
    macro timer(name, expr)
        esc(expr)
    end

    macro iftimer(expr)
    end
end

export @syms, term, @fun, showraw
include("types.jl")

using SpecialFunctions, NaNMath
include("methods.jl")

include("util.jl")

include("matchers.jl")

using Combinatorics: permutations
export @rule, @acrule, RuleSet
include("rule_dsl.jl")

export simplify

include("simplify.jl")

include("rulesets.jl")

end # module


text:
@test CMBSim.std2fwhm(1.0) ≈ 2.354820045
@test CMBSim.fwhm2std(1.0) ≈ 0.424660900

beam_map1 = CMBSim.gaussian_beam(128, 5.0 |> CMBSim.fwhm2std, normalization = 1.0)
beam_map2 = CMBSim.gaussian_beam(128, 5.0 |> CMBSim.fwhm2std, normalization = 2.0)

for pixidx in 1:beam_map1.resolution.numOfPixels
    @test beam_map1[pixidx] >= 0
    @test beam_map2[pixidx] >= 0
    @test 2 * beam_map1[pixidx] ≈ beam_map2[pixidx]
end


text:
function distance(s1, s2)
    length(s1) != length(s2) && throw(ArgumentError("Sequences must have the same length"))
    count(a != b for (a, b) in zip(s1, s2))
end


text:
import Base.convert
import Base.==

const NODE = UInt8(0)
const LEAF = UInt8(1)

abstract type Tree end

struct Leaf <: Tree
    x::Vector{UInt8} # Bytes
end

==(a::Leaf, b::Leaf) = a.x == b.x

struct Node <: Tree
    x::Vector{Tree} # Leaf or Node
end

==(a::Node, b::Node) = a.x == b.x

Node() = Node([])

Base.push!(n::Node, y) = push!(n.x, y)

toint(x) = reinterpret(UInt32, x[4:-1:1])[1] ### TOREMOVE

function parseb(x)

    if x[1] == LEAF

        L = interpret(UInt32, x[2:5])

        bytes = x[6:5+L]
        leaf = Leaf(bytes)

        if length(x) == L + 5
            rest = []
        else
            rest = x[L+6:end]
        end

        return leaf, rest

    elseif x[2] == NODE

        N = interpret(UInt32, x[2:5])

        rest = x[6:end]

        node = Node()

        for i in 1:N
            head, tail = parseb(rest)
            push!(node, head)
            rest = tail
        end

        return node, rest
    end
end

decode(x::Vector{UInt8}) = parseb(x)[1]
decode(x::AbstractString) = decode(hex2bytes(replace(x, " "=>""))) # I could have optional arguments here as well

function tobin(leaf::Leaf)

    N = UInt32(length(leaf.x))

    Nbin = interpret(Vector{UInt8}, N)
    bin = UInt8[LEAF, Nbin..., leaf.x...]

    return bin
end

function tobin(node::Node)

    N = UInt32(length(node.x))
    Nbin = interpret(Vector{UInt8}, N)

    data = UInt8[]

    for n in node.x
        b = tobin(n)
        append!(data, b)
    end

    bin = UInt8[NODE, Nbin..., data...]

    return bin
end

encode(x::Tree) = tobin(x)

convert(::Type{T}, x::Leaf) where T <: Integer = interpret(T, x.x)

function convert(::Type{String}, x::Leaf)
    return String(copy(x.x))
end

function convert(::Type{Vector{T}}, x::Node) where T #<: Integer
    return T[convert(T, i) for i in x.x]
end

function convert(cfact::Type{T}, x::Node) where T <: Tuple
     return Tuple((convert(ci, xi) for (xi, ci) in zip(x.x, cfact.types)))
end

function Leaf(x::Signed)

    bytes = interpret(Vector{UInt8}, x)

    # Adding a redundant byte to ensure that the number is positive.
    if bytes[1] > 127
        return Leaf(UInt8[0, bytes...])
    else
        return Leaf(bytes)
    end
end

Leaf(x::Unsigned) = Leaf(interpret(Vector{UInt8}, x))

function Leaf(x::Integer, k::Integer)
    leaf = Leaf(x)
    N = findfirst(x -> x != UInt8(0), leaf.x)
    bytes = leaf.x[N:end]
    pad = k - length(bytes)

    newleaf = Leaf(UInt8[zeros(UInt8, pad)...,bytes...])
    return newleaf
end

function Leaf(x::AbstractString)
    bytes = Vector{UInt8}(x)
    return Leaf(bytes)
end

Tree(x::Any) = Leaf(x)
Tree(x::Node) = x
Tree(x::Leaf) = x
Tree(x::Tuple) = Node(x)

function Node(x::Tuple)
    node = Node()
    for i in x
        r = Tree(i)
        push!(node, r)
    end
    return node
end

############################ COMPOSITE TYPE PARSING ############################

using CryptoGroups: Hash, PGroup, Group, ElGamal, value, specialize, a, b

(h::Hash)(t::Tree) = h(convert(Vector{UInt8}, t))  ### need to relocate

# Need something smarter in the end
bitlength(x::PGroup) = bitlength(modulus(x))

Leaf(x::PGroup; L = bitlength(x)) = Leaf(value(x), div(L + 1, 8, RoundUp))

# Probably I will need to replace
convert(::Type{G}, x::Leaf) where G <: PGroup = convert(G, convert(BigInt, x))

function Tree(x::Vector{<:Group})
    L = bitlength(x[1])
    s = Leaf[Leaf(i, L = L) for i in x]
    return Node(s)
end

function marshal(x::PGroup)

    java_name = "com.verificatum.arithm.ModPGroup"
    p = modulus(x)
    q = order(x)
    g = Leaf(x)
    e = UInt32(1)

    msg = (java_name, (p, q, g, e))

    tree = Tree(msg)

    return tree
end

function unmarshal(::Type{T}, x::Node) where T

    (java_name, (p, q, g, e)) = convert(Tuple{String, Tuple{T, T, T, UInt32}}, x)

    @assert java_name == "com.verificatum.arithm.ModPGroup" # In general I I will need an if statement

    G = specialize(PGroup, p, q)

    x = G(g)

    return x
end

function convert(::Type{ElGamal{G}}, tree::Tree) where G <: Group
    𝐚, 𝐛 = convert(Tuple{Vector{BigInt}, Vector{BigInt}}, tree)
    𝐞 = ElGamal{G}(𝐚, 𝐛)
    return 𝐞
end

function Tree(𝐞::ElGamal{<:Group})
    𝐚 = a(𝐞)
    𝐛 = b(𝐞)
    tree = Tree((𝐚, 𝐛))
end


text:
using IonLinearAlgebra
using Test

@testset "IonLinearAlgebra.jl" begin
    # Write your own tests here.
end


text:
export solve_detector, bennett_step_detector!, treeverse_grad_detector,
    treeverse_solve_detector, i_loss_bennett_detector!, solve_detector2

export Glued, RK4, ODESolve, ODEStep,
    i_ODESolve, i_ODEStep, ODELog, checkpointed_neuralode

struct Glued{T}
    data::T
end
Glued(args...) = Glued(args)

Base.zero(c::Glued) = Glued(zero.(c.data))
Base.copy(c::Glued) = Glued(copy.(c.data))
@generated function Base.zero(::Type{Glued{T}}) where T
    :(Glued($([zero(t) for t in T.types]...)))
end

@inline function Base.:(+)(a::Glued{T}, b::Glued{T}) where T
    Glued{T}(a.data .+ b.data)
end

@inline function Base.:(/)(a::Glued{T}, b::Real) where T
    Glued{T}(a.data ./ b)
end

@inline function Base.:(*)(a::Real, b::Glued{T}) where T
    Glued{T}(a .* b.data)
end

function zero_similar(arr::AbstractArray{T}, size...) where T
    zeros(T, size...)
end

function solve_detector(param::AcousticPropagatorParams, src,
            srcv::AbstractArray{Float64, 1}, c::AbstractArray{Float64, 2}, detector_locs::AbstractVector)
    slices = zero_similar(c, length(detector_locs), param.NSTEP-1)
    tupre = zero_similar(c, param.NX+2, param.NY+2)
    tu = zero_similar(c, param.NX+2, param.NY+2)
    tφ = zero_similar(c, param.NX+2, param.NY+2)
    tψ = zero_similar(c, param.NX+2, param.NY+2)

    for i = 1:param.NSTEP-1
        tu_ = zero_similar(c, param.NX+2, param.NY+2)
        one_step!(param, tu_, tu, tupre, tφ, tψ, param.Σx, param.Σy, c)
        tu, tupre = tu_, tu
        tu[SafeIndex(src)] += srcv[i]*param.DELTAT^2
        slices[:,i] .= tu[detector_locs]
    end
    slices
end

@i function bennett_step_detector!(_dest::T, _src::T, param::AcousticPropagatorParams, srcloc, srcv, c, target_pulses, detector_locs) where T<:Glued
    @routine @invcheckoff begin
        d2 ← zero(param.DELTAT)
        d2 += param.DELTAT^2
        temp ← zeros(eltype(c), length(detector_locs))
        (data_dest,) ← @unsafe_destruct _dest
        (data_src,) ← @unsafe_destruct _src
        (dloss, dest) ← @unsafe_destruct data_dest
        (sloss, src) ← @unsafe_destruct data_src
    end
    dest.upre += src.u
    dest.step[] += src.step[] + 1
    i_one_step!(param, dest.u, src.u, src.upre,
        dest.φ, src.φ, dest.ψ, src.ψ, c)
    dest.u[srcloc...] += srcv[dest.step[]] * d2
    @routine begin
        temp += target_pulses[:,dest.step[]]
        temp -= dest.u[detector_locs]
    end
    dloss += sloss
    for i=1:size(target_pulses, 1)
        dloss += temp[i]^2
    end
    ~@routine
    ~@routine
end

struct GradientCache{TS,TP,TV,TP2}
    x::TS
    y::TS
    c::TP
    srcv::TV
    target_pulses::TP2
end

"""
    treeverse_solve(s0; param, src, srcv, c, δ=20, logger=TreeverseLog())

* `s0` is the initial state,
"""
function treeverse_solve_detector(s0; param, src, srcv, c, target_pulses, detector_locs, δ=20, logger=TreeverseLog())
    f = x->treeverse_step_detector(x, param, src, srcv, c, target_pulses, detector_locs)
    res = []
    gcache = GradientCache(GVar(s0.data[2]), GVar(s0.data[2]), GVar(c), GVar(srcv), GVar(target_pulses))
    function gf(x, g)
        if g === nothing
            y = f(x)
            push!(res, y)
            g = (Glued(one(x.data[1]),zero(x.data[2])), zero(srcv), zero(c))
        end
        gy, gsrcv, gc = g
        treeverse_grad_detector(x, gy, param, src, srcv, gsrcv, c, gc, target_pulses, detector_locs, gcache)
    end
    g = treeverse(f, gf,
        copy(s0); δ=δ, N=param.NSTEP-1, f_inplace=false, logger=logger)
    res[], g
end

function treeverse_grad_detector(x_, g_, param, src, srcv, gsrcv, c, gc, target_pulses, detector_locs, gcache)
    lx, x = x_.data
    lg, g = g_.data
    println("gradient: $(x.step[]+1) -> $(x.step[])")
    #CUDA.memory_status()
    ly, y = treeverse_step_detector(x_, param, src, srcv, c, target_pulses, detector_locs).data

    # fit data into cache
    gcache.c .= GVar.(c, gc)
    gcache.srcv .= GVar.(srcv, gsrcv)
    for field in fieldnames(SeismicState)[1:end-1]
        getfield(gcache.y, field) .= GVar.(getfield(y, field), getfield(g, field))
        getfield(gcache.x, field) .= GVar.(getfield(x, field))
    end
    gcache.x.step[] = x.step[]
    gcache.y.step[] = y.step[]

    # compute
    _, gs, _, _, gv, gc2 = (~bennett_step_detector!)(Glued(GVar(ly, lg), gcache.y), Glued(GVar(lx), gcache.x), param, src, gcache.srcv, gcache.c, gcache.target_pulses, detector_locs)

    # get gradients from the cache
    gc .= grad(gc2)
    gsrcv .= grad.(gv)
    for field in fieldnames(SeismicState)[1:end-1]
        getfield(g, field) .= grad.(getfield(gs.data[2], field))
    end

    return (Glued(grad(gs.data[1]), g), gsrcv, gc)
end

@i function i_loss_bennett_detector!(out, state, param, src, srcv, c, target_pulses, detector_locs; k, logger=NiLang.BennettLog())
    bennett!((@const bennett_step_detector!), state, k, 1, (@const param.NSTEP-1), param, src, srcv, c, target_pulses, detector_locs; do_uncomputing=false, logger=logger)
    out += state[param.NSTEP].data.:1
end

function treeverse_step_detector(s_, param, src, srcv, c, target_pulses, detector_locs)
    l, s = s_.data
    unext, φ, ψ = zero(s.u), copy(s.φ), copy(s.ψ)
    ReversibleSeismic.one_step!(param, unext, s.u, s.upre, φ, ψ, param.Σx, param.Σy, c)
    s2 = SeismicState(copy(s.u), unext, φ, ψ, Ref(s.step[]+1))
    s2.u[SafeIndex(src)] += srcv[s2.step[]]*param.DELTAT^2
    l += sum(abs2.(target_pulses[:,s2.step[]] .- s2.u[detector_locs]))
    return Glued(l, s2)
end

function solve_detector2(param::AcousticPropagatorParams, srcloc,
            srcv::Array{T, 1}, c::AbstractArray{T, 2}, target_pulses, detector_locs) where T
    src = Glued(0.0, (c isa CuArray ? CuSeismicState : SeismicState)(T, param.NX, param.NY))
    for i=1:param.NSTEP-1
        dest = _zero(src)
        src, = bennett_step_detector!(dest, src, param, srcloc, srcv, c, target_pulses, detector_locs)
    end
    return src
end


text:
using TensorNetworkAD
using TensorNetworkAD: magnetisation, magofβ, getχ, CTMRGRuntime, getd, gets
using Test, Random
using Zygote

@testset "IPEPS" begin
    @test SquareLattice() isa AbstractLattice
    @test IPEPS{SquareLattice}(randn(2,3,3,3,3)) isa IPEPS
    sq = SquareIPEPS(randn(3,3,3,3,2))
    @test sq isa SquareIPEPS
    @test getd(sq) == 3
    @test gets(sq) == 2
    @test_throws DimensionMismatch SquareIPEPS(randn(3,3,4,3,2))
end

@testset "runtime" begin
    # NOTE: previous initializet and initializec should have been tested.
    a = randn(ComplexF64, 2,2,2,2)
    env1 = SquareCTMRGRuntime(a, Val(:random), 10)
    @test env1 isa CTMRGRuntime
    @test getχ(env1) == 10
    env2 = SquareCTMRGRuntime(a, Val(:raw), 10)
    @test env1 isa CTMRGRuntime
    @test getχ(env2) == 10
end

@testset "ctmrg unit test" begin
    rt = SquareCTMRGRuntime(randn(2,2,2,2), Val(:random), 10)
    rt = ctmrg(rt; tol=1e-6, maxit=10)
    @test rt isa CTMRGRuntime
    @test getχ(rt) == 10
end

@testset "ctmrg" begin
    Random.seed!(5)
    @test isapprox(magnetisation(Ising(), 0,2), magofβ(Ising(),0), atol=1e-6)
    @test magnetisation(Ising(), 1,2) ≈ magofβ(Ising(),1)
    @test isapprox(magnetisation(Ising(), 0.2,10), magofβ(Ising(),0.2), atol = 1e-4)
    @test isapprox(magnetisation(Ising(), 0.4,10), magofβ(Ising(),0.4), atol = 1e-3)
    @test magnetisation(Ising(), 0.6,4) ≈ magofβ(Ising(),0.6)
    @test magnetisation(Ising(), 0.8,2) ≈ magofβ(Ising(),0.8)

    Random.seed!(9)
    foo = x -> magnetisation(Ising(), x,2)
    @test isapprox(Zygote.gradient(foo,0.5)[1], num_grad(foo,0.5, δ=1e-3), atol = 1e-2)
end


text:
# This file was generated by the Julia Swagger Code Generator
# Do not modify this file directly. Modify the swagger specification instead.

@doc raw"""LimitRangeItem defines a min/max usage limit for any resource that matches on kind.

    IoK8sApiCoreV1LimitRangeItem(;
        default=nothing,
        defaultRequest=nothing,
        max=nothing,
        maxLimitRequestRatio=nothing,
        min=nothing,
        type=nothing,
    )

    - default::Dict{String, IoK8sApimachineryPkgApiResourceQuantity} : Default resource requirement limit value by resource name if resource limit is omitted.
    - defaultRequest::Dict{String, IoK8sApimachineryPkgApiResourceQuantity} : DefaultRequest is the default resource requirement request value by resource name if resource request is omitted.
    - max::Dict{String, IoK8sApimachineryPkgApiResourceQuantity} : Max usage constraints on this kind by resource name.
    - maxLimitRequestRatio::Dict{String, IoK8sApimachineryPkgApiResourceQuantity} : MaxLimitRequestRatio if specified, the named resource must have a request and limit that are both non-zero where limit divided by request is less than or equal to the enumerated value; this represents the max burst for the named resource.
    - min::Dict{String, IoK8sApimachineryPkgApiResourceQuantity} : Min usage constraints on this kind by resource name.
    - type::String : Type of resource that this limit applies to.
"""
mutable struct IoK8sApiCoreV1LimitRangeItem <: SwaggerModel
    default::Any # spec type: Union{ Nothing, Dict{String, IoK8sApimachineryPkgApiResourceQuantity} } # spec name: default
    defaultRequest::Any # spec type: Union{ Nothing, Dict{String, IoK8sApimachineryPkgApiResourceQuantity} } # spec name: defaultRequest
    max::Any # spec type: Union{ Nothing, Dict{String, IoK8sApimachineryPkgApiResourceQuantity} } # spec name: max
    maxLimitRequestRatio::Any # spec type: Union{ Nothing, Dict{String, IoK8sApimachineryPkgApiResourceQuantity} } # spec name: maxLimitRequestRatio
    min::Any # spec type: Union{ Nothing, Dict{String, IoK8sApimachineryPkgApiResourceQuantity} } # spec name: min
    type::Any # spec type: Union{ Nothing, String } # spec name: type

    function IoK8sApiCoreV1LimitRangeItem(;default=nothing, defaultRequest=nothing, max=nothing, maxLimitRequestRatio=nothing, min=nothing, type=nothing)
        o = new()
        validate_property(IoK8sApiCoreV1LimitRangeItem, Symbol("default"), default)
        setfield!(o, Symbol("default"), default)
        validate_property(IoK8sApiCoreV1LimitRangeItem, Symbol("defaultRequest"), defaultRequest)
        setfield!(o, Symbol("defaultRequest"), defaultRequest)
        validate_property(IoK8sApiCoreV1LimitRangeItem, Symbol("max"), max)
        setfield!(o, Symbol("max"), max)
        validate_property(IoK8sApiCoreV1LimitRangeItem, Symbol("maxLimitRequestRatio"), maxLimitRequestRatio)
        setfield!(o, Symbol("maxLimitRequestRatio"), maxLimitRequestRatio)
        validate_property(IoK8sApiCoreV1LimitRangeItem, Symbol("min"), min)
        setfield!(o, Symbol("min"), min)
        validate_property(IoK8sApiCoreV1LimitRangeItem, Symbol("type"), type)
        setfield!(o, Symbol("type"), type)
        o
    end
end # type IoK8sApiCoreV1LimitRangeItem

const _property_map_IoK8sApiCoreV1LimitRangeItem = Dict{Symbol,Symbol}(Symbol("default")=>Symbol("default"), Symbol("defaultRequest")=>Symbol("defaultRequest"), Symbol("max")=>Symbol("max"), Symbol("maxLimitRequestRatio")=>Symbol("maxLimitRequestRatio"), Symbol("min")=>Symbol("min"), Symbol("type")=>Symbol("type"))
const _property_types_IoK8sApiCoreV1LimitRangeItem = Dict{Symbol,String}(Symbol("default")=>"Dict{String, IoK8sApimachineryPkgApiResourceQuantity}", Symbol("defaultRequest")=>"Dict{String, IoK8sApimachineryPkgApiResourceQuantity}", Symbol("max")=>"Dict{String, IoK8sApimachineryPkgApiResourceQuantity}", Symbol("maxLimitRequestRatio")=>"Dict{String, IoK8sApimachineryPkgApiResourceQuantity}", Symbol("min")=>"Dict{String, IoK8sApimachineryPkgApiResourceQuantity}", Symbol("type")=>"String")
Base.propertynames(::Type{ IoK8sApiCoreV1LimitRangeItem }) = collect(keys(_property_map_IoK8sApiCoreV1LimitRangeItem))
Swagger.property_type(::Type{ IoK8sApiCoreV1LimitRangeItem }, name::Symbol) = Union{Nothing,eval(Base.Meta.parse(_property_types_IoK8sApiCoreV1LimitRangeItem[name]))}
Swagger.field_name(::Type{ IoK8sApiCoreV1LimitRangeItem }, property_name::Symbol) =  _property_map_IoK8sApiCoreV1LimitRangeItem[property_name]

function check_required(o::IoK8sApiCoreV1LimitRangeItem)
    true
end

function validate_property(::Type{ IoK8sApiCoreV1LimitRangeItem }, name::Symbol, val)
end


text:
# Define a diffusion process
using Bridge
struct OU2696197128  <: ContinuousTimeProcess{Float64}
    β::Float64 # drift parameter (also known as inverse relaxation time)
    σ::UniformScaling{Float64} # diffusion parameter
    function OU2696197128(β::Float64, σ::UniformScaling{Float64})
        isnan(β) || β > 0. || error("Parameter λ must be positive.")
        isnan(σ.λ) || σ.λ > 0. || error("Parameter σ must be positive.")
        new(β, σ)
    end
end

# define drift and diffusion coefficient of OU2696197128

Bridge.b(t,x, P::OU2696197128) = -P.β*x
Bridge.σ(t, x, P::OU2696197128) = P.σ

# simulate OU2696197128 using Euler scheme
W = sample(0:0.01:10, Wiener{Float64}())
X = solve(Euler(), 0.1, W, OU2696197128(20., 1.0*I))

#Check @code_warntype euler!(copy(W),0.0, W, OU2696197128(20., 1.0*I))


text:
type LurieFormAd
  sys::PowerFlowSystem

  x⁰::Vector
  f⁰::Vector
  s⁰::Vector

  S::AbstractMatrix
  J⁰::AbstractMatrix
  J⁻¹::AbstractMatrix

  SQ::AbstractMatrix
  SQJ::AbstractMatrix

  function LurieFormAd(sys::PowerFlowSystem)
    @import_fields sys

    x⁰ = calc_x(v⁰, ϑ⁰, sys)
    f⁰ = calc_f(v⁰, ϑ⁰, sys)

    dfdx⁰ = calc_dfdx(v⁰, ϑ⁰, sys)
    S = calc_S(sys)

    J⁰ = S*dfdx⁰
    s⁰ = S*f⁰
    J⁻¹ = inv(full(J⁰))

    SQ = calc_S_Q(sys)
    SQJ = SQ*dfdx⁰

    new(sys, x⁰, f⁰, s⁰, S, J⁰, J⁻¹, SQ, SQJ)
  end
end

LurieFormAd(pm::GenericPowerModel) = LurieFormAd(PowerFlowSystem(pm))

calc_x(v::Vector, ϑ::Vector, lf::LurieFormAd) = calc_x(v, ϑ, lf.sys)
function calc_x(v::Vector, ϑ::Vector, sys::PowerFlowSystem)
  @import_fields sys
  return [ϑ[pv]; ϑ[pq]; log(v[pq])]
end

calc_ρᵦϑ(x::Vector, lf::LurieFormAd) = calc_ρᵦϑ(x, lf.sys) #rho of nodes
function calc_ρᵦϑ(x::Vector, sys::PowerFlowSystem)
  @import_fields sys
  v = copy(v⁰); ϑ = copy(ϑ⁰); ρᵦ = copy(v⁰);
  ϑ[pv] = x[1:npv]
  ϑ[pq] = x[(npv + 1):(npv + npq)]
  v[pq] = x[(npv + npq + 1):(npv + 2*npq)]
  ρᵦ[pq] = log(v[pq])
  return (ρᵦ, ϑ)
end

calc_f(v::Vector, ϑ::Vector, lf::LurieFormAd) = calc_f(v, ϑ, lf.sys)
function calc_f(v::Vector, ϑ::Vector, sys::PowerFlowSystem)
  @import_fields sys
  ρₑ = log(v[from]./v[to]) - log(v⁰[from]./v⁰[to]) #rho of edges
  Θ = (ϑ[from] - ϑ[to]) - (ϑ⁰[from] - ϑ⁰[to])
  [cosh(ρₑ).*cos(Θ) ; sinh(ρₑ).*cos(Θ); cosh(ρₑ).*sin(Θ); sinh(ρₑ).*sin(Θ)]
end

range_coshcos(lf::LurieFormAd) = range_coshcos(lf.sys.np)
range_coshcos(sys::PowerFlowSystem) = range_coshcos(sys.np)
range_coshcos(np::Integer) = collect(1:np)

range_sinhcos(lf::LurieFormAd) = range_sinhcos(lf.sys.np)
range_sinhcos(sys::PowerFlowSystem) = range_sinhcos(sys.np)
range_sinhcos(np::Integer) = collect((np+1):(2*np))

range_coshsin(lf::LurieFormAd) = range_coshsin(lf.sys.np)
range_coshsin(sys::PowerFlowSystem) = range_coshsin(sys.np)
range_coshsin(np::Integer) = collect((2*np+1):(3*np))

range_sinhsin(lf::LurieFormAd) = range_sinhsin(lf.sys.np)
range_sinhsin(sys::PowerFlowSystem) = range_sinhsin(sys.np)
range_sinhsin(np::Integer) = collect((3*np+1):(4*np))

calc_dfdx(lf::LurieFormAd) = calc_dfdx(lf.sys)
calc_dfdx(sys::PowerFlowSystem) = calc_dfdx(sys.v⁰, sys.ϑ⁰, sys)

function calc_dfdx(v::Vector, ϑ::Vector, sys::PowerFlowSystem)
  @import_fields sys

  f = calc_f(v, ϑ, sys)
  coshcos = f[range_coshcos(sys)]
  sinhcos = f[range_sinhcos(sys)]
  coshsin = f[range_coshsin(sys)]
  sinhsin = f[range_sinhsin(sys)]
  frto = [from;to]
  pvpq = [pv;pq]
  np2  = [1:np;1:np]

  ∂chcs╱∂ρ = sparse(np2, frto, [sinhcos; -sinhcos], np, nb)
  ∂chcs╱∂ϑ = sparse(np2, frto, [-coshsin; coshsin], np, nb)

  ∂shcs╱∂ρ = sparse(np2, frto, [coshcos; -coshcos], np, nb)
  ∂shcs╱∂ϑ = sparse(np2, frto, [-sinhsin; sinhsin], np, nb)

  ∂chsn╱∂ρ = sparse(np2, frto, [sinhsin; -sinhsin], np, nb)
  ∂chsn╱∂ϑ = sparse(np2, frto, [coshcos; -coshcos], np, nb)

  ∂shsn╱∂ρ = sparse(np2, frto, [coshsin; -coshsin], np, nb)
  ∂shsn╱∂ϑ = sparse(np2, frto, [sinhcos; -sinhcos], np, nb)

  return [
    ∂chcs╱∂ϑ[:,pvpq]    ∂chcs╱∂ρ[:,pq]
    ∂shcs╱∂ϑ[:,pvpq]    ∂shcs╱∂ρ[:,pq]
    ∂chsn╱∂ϑ[:,pvpq]    ∂chsn╱∂ρ[:,pq]
    ∂shsn╱∂ϑ[:,pvpq]    ∂shsn╱∂ρ[:,pq]
         ]
end

# There is some bug with the Base.real implementation
spreal(A::SparseMatrixCSC) = SparseMatrixCSC(A.m, A.n, A.colptr, A.rowval, real(A.nzval))
spimag(A::SparseMatrixCSC) = SparseMatrixCSC(A.m, A.n, A.colptr, A.rowval, imag(A.nzval))

#
function calc_S(sys::PowerFlowSystem)
  @import_fields sys
  ρ⁰ = log(v⁰[from] ./ v⁰[to])
  Θ⁰ = ϑ⁰[from] - ϑ⁰[to]
  Ŷᵗ = Yᵗ * spdiagm(exp(ρ⁰ + Θ⁰*1im), (0))
  Ŷᶠ = Yᶠ * spdiagm(exp(-ρ⁰ - Θ⁰*1im), (0))
  Y⁺ = Ŷᶠ + Ŷᵗ
  Y⁻ = Ŷᶠ - Ŷᵗ

  S = [
        spreal(Y⁺[pv,:])  spreal(Y⁻[pv,:])  -spimag(Y⁻[pv,:])  -spimag(Y⁺[pv,:])
        spreal(Y⁺[pq,:])  spreal(Y⁻[pq,:])  -spimag(Y⁻[pq,:])  -spimag(Y⁺[pq,:])
        -spimag(Y⁺[pq,:])  -spimag(Y⁻[pq,:])  -spreal(Y⁻[pq,:])  -spimag(Y⁺[pq,:])
      ]
  return S
end

function calc_S_Q(sys::PowerFlowSystem)
  @import_fields sys
  ρ⁰ = log(v⁰[from] ./ v⁰[to])
  Θ⁰ = ϑ⁰[from] - ϑ⁰[to]
  Ŷᵗ = Yᵗ * spdiagm(exp(ρ⁰ + Θ⁰*1im), (0))
  Ŷᶠ = Yᶠ * spdiagm(exp(-ρ⁰ - Θ⁰*1im), (0))
  Y⁺ = Ŷᶠ + Ŷᵗ
  Y⁻ = Ŷᶠ - Ŷᵗ

  SQ = [spimag(Y⁺[pv,:])  spimag(Y⁻[pv,:])  -spreal(Y⁻[pv,:])  spimag(Y⁺[pv,:])]
  return SQ
end

export LurieFormAd, calc_x, calc_vϑ, calc_f, calc_dfdx
export range_coshcos, range_coshsin, range_sinhcos, range_sinhsin

max_stars_repo_name: hunghtd/PowerFlowAnalysis-tutorial

max_issues_repo_name: hunghtd/PowerFlowAnalysis-tutorial

max_forks_repo_name: hunghtd/PowerFlowAnalysis-tutorial


text:
"""
estimate(x; β::Real, δ::Real)

Estimate a stochastic volatility model. Volatility is modelled as a random walk.

The hyperparameters 2/3 < β < 1 and 0 < δ ≤ 1 are discount factors, controlling the shocks to the Σ and Ω respectively.
"""

function estimate(ssm::StateSpaceModel)
    y, F, G, m, P, S, β, δ, Δ, ν, n, k = ssm.y, ssm.F, ssm.G, ssm.m, ssm.P, ssm.S, ssm.β, ssm.δ, ssm.Δ, ssm.ν, ssm.k, ssm.k

    T, p = size(y)
    d = size(m, 1)

    predicted = (μ = zeros(T, p), Σ = zeros(T, p, p), e = zeros(T, p), u = zeros(T, p), m = zeros(T, d, p), R = zeros(T, d, d), S = zeros(T, p, p))
    filtered  = (μ = zeros(T, p), Σ = zeros(T, p, p), e = zeros(T, p), u = zeros(T, p), m = zeros(T, d, p), P = zeros(T, d, d), S = zeros(T, p, p))

    for t = 1:T
        # Predict at time t-1
        R = get_R(P, G, Δ)
        Q = get_Q(F, R)
        μ = m' * G' * F
        e = y[t, :] - μ
        Σ = Q * (1 - β) / (3β*k - 2k) * S
        u = inv(cholesky(Σ).L) * e

        predicted.μ[t, :]    = μ
        predicted.Σ[t, :, :] = Σ
        predicted.e[t, :, :] = e
        predicted.u[t, :, :] = u
        predicted.m[t, :, :] = m
        predicted.R[t, :, :] = R
        predicted.S[t, :, :] = S

        # Update at time t
        K = get_K(F, R, Q)
        m = get_m(m, G, K, e)
        P = get_P(R, K, Q)
        S = get_S(S, k, e, Q)
        μ = m' * F
        e = y[t, :] - μ
        Σ = Q * (1 - β) / (2β - 1) * S
        u = inv(cholesky(Σ).L) * e

        filtered.μ[t, :]    = μ
        filtered.Σ[t, :, :] = Σ
        filtered.e[t, :, :] = e
        filtered.u[t, :, :] = u
        filtered.m[t, :, :] = m
        filtered.P[t, :, :] = P
        filtered.S[t, :, :] = S
    end
    return (predicted = predicted, filtered = filtered)
end


text:
"""
Abstract supertype for models that determine the time of germination
from current state variable.
"""
abstract type AbstractGermination end

"""
    ThresholdGermination(germination_mass)

Germination occurs past a threshhold structural mass.

This causes a hard switch in behaviour between

$(FIELDDOCTABLE)
"""
@columns struct ThresholdGermination{Mo} <: AbstractGermination
    # Field              | Def  | Unit | Bounds      | Log  | Description
    germination_mass::Mo | 1e-5 | mol  | (1e-10,5.0) | true | "Structural mass at germination"
end

"""
    isgerminated(formulation, o, u)

Check if germination has happened.
The default with no formulation is that germination occurs immediately.
"""
isgerminated(o, u) = isgerminated(germination_pars(o), o, u)
isgerminated(f::Nothing, o, u) = true
isgerminated(f::ThresholdGermination, o, u) = u[:V] > f.germination_mass


text:
using Documenter, NormalSmoothingSplines

makedocs(
    sitename = "NormalSmoothingSplines.jl",
	format = Documenter.HTML(prettyurls = get(ENV, "CI", nothing) == "true"),
	authors = "Igor Kohanovsky",
    pages = [
				"Home" => "index.md",
				"Public API" => "Public-API.md",
				"Example Usage" => "Usage.md",
				"Normal Splines Method" => "Normal-Splines-Method.md",
			]
)

deploydocs(
repo = "github.com/IgorKohan/NormalSmoothingSplines.jl.git",
devurl = "v0.1.0",
versions = ["stable" => "v^", "v#.#.#"],
)


text:
### A Pluto.jl notebook ###
# v0.18.4

using Markdown
using InteractiveUtils

# ╔═╡ ae47661e-95a2-11ec-119b-8194fe27f96e
begin
	using Plots
	using LsqFit
	import Distributions as di
	using Random
	using Turing
	using Statistics
	using StatsPlots
	using FillArrays
end

# ╔═╡ 8dc3dee2-a7d2-4afd-94b1-63154910a54c
t = 0:0.1:5

# ╔═╡ 4c8163a1-1206-47dc-bc58-1d642663a22e
function model(t,p)
	return p[1] .* exp.(-t/p[2])
end

# ╔═╡ 38284326-0524-43cd-8fbe-3d228aac9bf4
begin
	data_err = 0.5
	d = di.Normal(0,data_err)
end

# ╔═╡ a0add249-405b-4f30-a667-c791d155d5ca
ampl_range = 2:0.1:5

# ╔═╡ c5f1d281-fc40-4fdb-ae25-664ff7c99332
decay_range = 1:0.1:3

# ╔═╡ 2288748b-9ae9-4032-a371-b2de8712cd88
y = 3.0 .* exp.(-t/2.0) + rand(d,length(t))

# ╔═╡ 7abe92c4-3081-429d-88b0-fd1d367fb3df
begin
	plot(t,y,yerror=data_err)
	plot!(t,model(t,[3.0,2.0]))
end

# ╔═╡ 8948ee55-fa92-4ac5-9836-ff2640a541db
fit = curve_fit(model, t, y, [1.0,1.0])

# ╔═╡ eb879e89-7277-4804-952b-19048874ced5
fit.param

# ╔═╡ 3a803151-2291-4798-b1f4-15e6bd1189fb
cov = estimate_covar(fit)

# ╔═╡ 7cbfb55e-8984-4bee-9848-dcaacdfb1282
conf = confidence_interval(fit, 0.1)

# ╔═╡ bf29e446-1cd4-4c2d-8f1f-0b91f39aa450
exp_dist = di.MvNormal(fit.param,cov)

# ╔═╡ 3449f76f-9dbe-4c07-898e-5b944174b374
function f(x,y)
	return di.pdf(exp_dist,[x,y])
end

# ╔═╡ d977a512-3085-4a87-a95d-7d3041402e0a
contourf(ampl_range,decay_range,f)

# ╔═╡ fc76af35-ac05-418a-993d-a382c41b036f
begin
	my_normal = di.Normal(1,2)
	my_sample = rand(my_normal,200)
end

# ╔═╡ 2dacbdf4-dbf2-42c9-9529-007fff009c12
mean(my_sample)

# ╔═╡ 1d360be7-43a1-4a75-8d09-e229917ff815
std(my_sample)

# ╔═╡ 923e8ca4-8f66-47b8-a2b1-b7b384416163
@model function my_fit(data)
	μ ~ Uniform(-10,10)
	σ ~ Uniform(0,20)
	for i in 1:length(data)
		data[i] ~ Normal(μ,σ)
	end
end

# ╔═╡ b2c73bae-7a71-49b6-8ea0-3c57dd7843ae
model1 = my_fit(my_sample)

# ╔═╡ 46e1c786-6abc-4f82-a1a8-04e0394aa005
chain = sample(model1,NUTS(0.65),1000)

# ╔═╡ 39dc3dae-105b-490c-a5af-b8cfdc059bc0
StatsPlots.plot(chain)

# ╔═╡ 7241b49c-b5d9-438a-950a-8ffcfa3d301b
describe(chain)

# ╔═╡ c17062e7-42dc-4b49-8b54-2a61adf6396b
x = 0:10

# ╔═╡ fee857c0-cbb4-4a49-ab9e-59c58b92cb63
function lin_model(x,p)
	return p[1] .+ (p[2] .* x)
end

# ╔═╡ 7bb4d1f9-bfa7-4aef-b88e-96cb6bef96ee
function quad_model(x,p)
	return p[1] .+ (p[2] .* x) .+ (p[3] .* x .^ 2)
end

# ╔═╡ 974540df-328a-4855-a954-028c19f1ea56
begin
	dlin_error = 2.0
	dlin = di.Normal(0,dlin_error)
end

# ╔═╡ 029632a7-e923-448b-86b9-21e5c9c6acd6
yy = 2.0 .+ (3.0 .* x) .+ 0.1 .* x .^ 2 .+ rand(dlin,length(x))

# ╔═╡ a56ca084-6366-4148-b600-56f797d3927e
fit_lin = curve_fit(lin_model,x,yy,[2.0,3.0])

# ╔═╡ 57f154a5-d32c-47f0-9dec-a136b3fd44a7
fit_lin.param

# ╔═╡ 89f26e4b-f10e-47e2-a032-b3848ec618f2
yy_fit = fit_lin.param[1] .+ fit_lin.param[2] .* x

# ╔═╡ 07174e20-8292-441b-ae92-51800f641e64
yy_quadfit = curve_fit(quad_model, x,yy,[3.0,2.0,0.0])

# ╔═╡ 4b4cf4ee-27b8-4d25-a926-0c4e311c980f
yy_quadfit.param

# ╔═╡ 08e5fe39-a598-4f06-9c5c-aa8e7ac3c4b9
yy_quad = yy_quadfit.param[1] .+ (yy_quadfit.param[2] .* x) .+ (yy_quadfit.param[3] .* x .^ 2)

# ╔═╡ 89a7fbc5-ea56-4e8d-b50d-63456484dca0
cov_quad = estimate_covar(yy_quadfit)

# ╔═╡ 461b0327-1278-4c99-90f9-b8c1b6e1a5c6
delta_quad = sqrt(cov_quad[3,3])

# ╔═╡ afb2e5ef-3d4c-439a-8574-443a09eb850d
begin
	scatter(x,yy,yerror=dlin_error,label=false)
	plot!(x, yy_fit, label=false)
	plot!(x, yy_quad, label=false)
end

# ╔═╡ 0246ae6c-974f-4e4e-a16f-6dce6a0cddfa
chi_quad = sum(yy_quadfit.resid .^ 2 /dlin_error^2)

# ╔═╡ 838f4345-c865-4712-8d39-b52777ab986d
chi_lin = sum(fit_lin.resid .^ 2 /dlin_error^2)

# ╔═╡ 44503a57-a47c-46dd-9882-c97c568b4bc7
exp(-chi_lin)/exp(-chi_quad)*1.0/sqrt(cov_quad[3,3])/sqrt(2*π)

# ╔═╡ 00000000-0000-0000-0000-000000000001
PLUTO_PROJECT_TOML_CONTENTS = """
[deps]
Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f"
FillArrays = "1a297f60-69ca-5386-bcde-b61e274b549b"
LsqFit = "2fda8390-95c7-5789-9bda-21331edee243"
Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
StatsPlots = "f3b207a7-027a-5e70-b257-86293d7955fd"
Turing = "fce5fe82-541a-59a6-adf8-730c64b5f9a0"

[compat]
Distributions = "~0.25.53"
FillArrays = "~0.13.2"
LsqFit = "~0.12.1"
Plots = "~1.27.5"
StatsPlots = "~0.14.33"
Turing = "~0.21.1"
"""

# ╔═╡ 00000000-0000-0000-0000-000000000002
PLUTO_MANIFEST_TOML_CONTENTS = """
# This file is machine-generated - editing it directly is not advised

[[AbstractFFTs]]
deps = ["ChainRulesCore", "LinearAlgebra"]
git-tree-sha1 = "6f1d9bc1c08f9f4a8fa92e3ea3cb50153a1b40d4"
uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c"
version = "1.1.0"

[[AbstractMCMC]]
deps = ["BangBang", "ConsoleProgressMonitor", "Distributed", "Logging", "LoggingExtras", "ProgressLogging", "Random", "StatsBase", "TerminalLoggers", "Transducers"]
git-tree-sha1 = "47aca4cf0dc430f20f68f6992dc4af0e4dc8ebee"
uuid = "80f14c24-f653-4e6a-9b94-39d6b0f70001"
version = "4.0.0"

[[AbstractPPL]]
deps = ["AbstractMCMC", "DensityInterface", "Setfield", "SparseArrays"]
git-tree-sha1 = "6320752437e9fbf49639a410017d862ad64415a5"
uuid = "7a57a42e-76ec-4ea3-a279-07e840d6d9cf"
version = "0.5.2"

[[AbstractTrees]]
git-tree-sha1 = "03e0550477d86222521d254b741d470ba17ea0b5"
uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c"
version = "0.3.4"

[[Adapt]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "af92965fb30777147966f58acb05da51c5616b5f"
uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
version = "3.3.3"

[[AdvancedHMC]]
deps = ["AbstractMCMC", "ArgCheck", "DocStringExtensions", "InplaceOps", "LinearAlgebra", "ProgressMeter", "Random", "Requires", "Setfield", "Statistics", "StatsBase", "StatsFuns", "UnPack"]
git-tree-sha1 = "68136ef13a2f549a20e3572c8f9f2b83b901ac1a"
uuid = "0bf59076-c3b1-5ca4-86bd-e02cd72cde3d"
version = "0.3.4"

[[AdvancedMH]]
deps = ["AbstractMCMC", "Distributions", "Random", "Requires"]
git-tree-sha1 = "5d9e09a242d4cf222080398468244389c3428ed1"
uuid = "5b7e9947-ddc0-4b3f-9b55-0d8042f74170"
version = "0.6.7"

[[AdvancedPS]]
deps = ["AbstractMCMC", "Distributions", "Libtask", "Random", "StatsFuns"]
git-tree-sha1 = "78620daebe1b87dfe17cac4bc08cec73b057eb0a"
uuid = "576499cb-2369-40b2-a588-c64705576edc"
version = "0.3.7"

[[AdvancedVI]]
deps = ["Bijectors", "Distributions", "DistributionsAD", "DocStringExtensions", "ForwardDiff", "LinearAlgebra", "ProgressMeter", "Random", "Requires", "StatsBase", "StatsFuns", "Tracker"]
git-tree-sha1 = "2f0ddff49ae4c812ba7b348b8427636f8bbd6c05"
uuid = "b5ca4192-6429-45e5-a2d9-87aec30a685c"
version = "0.1.4"

[[ArgCheck]]
git-tree-sha1 = "a3a402a35a2f7e0b87828ccabbd5ebfbebe356b4"
uuid = "dce04be8-c92d-5529-be00-80e4d2c0e197"
version = "2.3.0"

[[ArgTools]]
uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"

[[Arpack]]
deps = ["Arpack_jll", "Libdl", "LinearAlgebra", "Logging"]
git-tree-sha1 = "91ca22c4b8437da89b030f08d71db55a379ce958"
uuid = "7d9fca2a-8960-54d3-9f78-7d1dccf2cb97"
version = "0.5.3"

[[Arpack_jll]]
deps = ["Libdl", "OpenBLAS_jll", "Pkg"]
git-tree-sha1 = "e214a9b9bd1b4e1b4f15b22c0994862b66af7ff7"
uuid = "68821587-b530-5797-8361-c406ea357684"
version = "3.5.0+3"

[[ArrayInterface]]
deps = ["Compat", "IfElse", "LinearAlgebra", "Requires", "SparseArrays", "Static"]
git-tree-sha1 = "c933ce606f6535a7c7b98e1d86d5d1014f730596"
uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
version = "5.0.7"

[[Artifacts]]
uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"

[[AxisAlgorithms]]
deps = ["LinearAlgebra", "Random", "SparseArrays", "WoodburyMatrices"]
git-tree-sha1 = "66771c8d21c8ff5e3a93379480a2307ac36863f7"
uuid = "13072b0f-2c55-5437-9ae7-d433b7a33950"
version = "1.0.1"

[[AxisArrays]]
deps = ["Dates", "IntervalSets", "IterTools", "RangeArrays"]
git-tree-sha1 = "cf6875678085aed97f52bfc493baaebeb6d40bcb"
uuid = "39de3d68-74b9-583c-8d2d-e117c070f3a9"
version = "0.4.5"

[[BangBang]]
deps = ["Compat", "ConstructionBase", "Future", "InitialValues", "LinearAlgebra", "Requires", "Setfield", "Tables", "ZygoteRules"]
git-tree-sha1 = "b15a6bc52594f5e4a3b825858d1089618871bf9d"
uuid = "198e06fe-97b7-11e9-32a5-e1d131e6ad66"
version = "0.3.36"

[[Base64]]
uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"

[[Baselet]]
git-tree-sha1 = "aebf55e6d7795e02ca500a689d326ac979aaf89e"
uuid = "9718e550-a3fa-408a-8086-8db961cd8217"
version = "0.1.1"

[[Bijectors]]
deps = ["ArgCheck", "ChainRulesCore", "Compat", "Distributions", "Functors", "IrrationalConstants", "LinearAlgebra", "LogExpFunctions", "MappedArrays", "Random", "Reexport", "Requires", "Roots", "SparseArrays", "Statistics"]
git-tree-sha1 = "369af32fcb9be65d496dc43ad0bb713705d4e859"
uuid = "76274a88-744f-5084-9051-94815aaf08c4"
version = "0.9.11"

[[Bzip2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "19a35467a82e236ff51bc17a3a44b69ef35185a2"
uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
version = "1.0.8+0"

[[Cairo_jll]]
deps = ["Artifacts", "Bzip2_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"]
git-tree-sha1 = "4b859a208b2397a7a623a03449e4636bdb17bcf2"
uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a"
version = "1.16.1+1"

[[ChainRules]]
deps = ["ChainRulesCore", "Compat", "IrrationalConstants", "LinearAlgebra", "Random", "RealDot", "SparseArrays", "Statistics"]
git-tree-sha1 = "8b887daa6af5daf705081061e36386190204ac87"
uuid = "082447d4-558c-5d27-93f4-14fc19e9eca2"
version = "1.28.1"

[[ChainRulesCore]]
deps = ["Compat", "LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "9950387274246d08af38f6eef8cb5480862a435f"
uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
version = "1.14.0"

[[ChangesOfVariables]]
deps = ["ChainRulesCore", "LinearAlgebra", "Test"]
git-tree-sha1 = "bf98fa45a0a4cee295de98d4c1462be26345b9a1"
uuid = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
version = "0.1.2"

[[Clustering]]
deps = ["Distances", "LinearAlgebra", "NearestNeighbors", "Printf", "SparseArrays", "Statistics", "StatsBase"]
git-tree-sha1 = "75479b7df4167267d75294d14b58244695beb2ac"
uuid = "aaaa29a8-35af-508c-8bc3-b662a17a0fe5"
version = "0.14.2"

[[ColorSchemes]]
deps = ["ColorTypes", "Colors", "FixedPointNumbers", "Random"]
git-tree-sha1 = "12fc73e5e0af68ad3137b886e3f7c1eacfca2640"
uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
version = "3.17.1"

[[ColorTypes]]
deps = ["FixedPointNumbers", "Random"]
git-tree-sha1 = "024fe24d83e4a5bf5fc80501a314ce0d1aa35597"
uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
version = "0.11.0"

[[Colors]]
deps = ["ColorTypes", "FixedPointNumbers", "Reexport"]
git-tree-sha1 = "417b0ed7b8b838aa6ca0a87aadf1bb9eb111ce40"
uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
version = "0.12.8"

[[Combinatorics]]
git-tree-sha1 = "08c8b6831dc00bfea825826be0bc8336fc369860"
uuid = "861a8166-3701-5b0c-9a16-15d98fcdc6aa"
version = "1.0.2"

[[CommonSolve]]
git-tree-sha1 = "68a0743f578349ada8bc911a5cbd5a2ef6ed6d1f"
uuid = "38540f10-b2f7-11e9-35d8-d573e4eb0ff2"
version = "0.2.0"

[[CommonSubexpressions]]
deps = ["MacroTools", "Test"]
git-tree-sha1 = "7b8a93dba8af7e3b42fecabf646260105ac373f7"
uuid = "bbf7d656-a473-5ed7-a52c-81e309532950"
version = "0.3.0"

[[Compat]]
deps = ["Base64", "Dates", "DelimitedFiles", "Distributed", "InteractiveUtils", "LibGit2", "Libdl", "LinearAlgebra", "Markdown", "Mmap", "Pkg", "Printf", "REPL", "Random", "SHA", "Serialization", "SharedArrays", "Sockets", "SparseArrays", "Statistics", "Test", "UUIDs", "Unicode"]
git-tree-sha1 = "b153278a25dd42c65abbf4e62344f9d22e59191b"
uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
version = "3.43.0"

[[CompilerSupportLibraries_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"

[[CompositionsBase]]
git-tree-sha1 = "455419f7e328a1a2493cabc6428d79e951349769"
uuid = "a33af91c-f02d-484b-be07-31d278c5ca2b"
version = "0.1.1"

[[ConsoleProgressMonitor]]
deps = ["Logging", "ProgressMeter"]
git-tree-sha1 = "3ab7b2136722890b9af903859afcf457fa3059e8"
uuid = "88cd18e8-d9cc-4ea6-8889-5259c0d15c8b"
version = "0.1.2"

[[ConstructionBase]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "f74e9d5388b8620b4cee35d4c5a618dd4dc547f4"
uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
version = "1.3.0"

[[Contour]]
deps = ["StaticArrays"]
git-tree-sha1 = "9f02045d934dc030edad45944ea80dbd1f0ebea7"
uuid = "d38c429a-6771-53c6-b99e-75d170b6e991"
version = "0.5.7"

[[Crayons]]
git-tree-sha1 = "249fe38abf76d48563e2f4556bebd215aa317e15"
uuid = "a8cc5b0e-0ffa-5ad4-8c14-923d3ee1735f"
version = "4.1.1"

[[DataAPI]]
git-tree-sha1 = "cc70b17275652eb47bc9e5f81635981f13cea5c8"
uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
version = "1.9.0"

[[DataStructures]]
deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
git-tree-sha1 = "3daef5523dd2e769dad2365274f760ff5f282c7d"
uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
version = "0.18.11"

[[DataValueInterfaces]]
git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6"
uuid = "e2d170a0-9d28-54be-80f0-106bbe20a464"
version = "1.0.0"

[[DataValues]]
deps = ["DataValueInterfaces", "Dates"]
git-tree-sha1 = "d88a19299eba280a6d062e135a43f00323ae70bf"
uuid = "e7dc6d0d-1eca-5fa6-8ad6-5aecde8b7ea5"
version = "0.4.13"

[[Dates]]
deps = ["Printf"]
uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"

[[DefineSingletons]]
git-tree-sha1 = "0fba8b706d0178b4dc7fd44a96a92382c9065c2c"
uuid = "244e2a9f-e319-4986-a169-4d1fe445cd52"
version = "0.1.2"

[[DelimitedFiles]]
deps = ["Mmap"]
uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"

[[DensityInterface]]
deps = ["InverseFunctions", "Test"]
git-tree-sha1 = "80c3e8639e3353e5d2912fb3a1916b8455e2494b"
uuid = "b429d917-457f-4dbc-8f4c-0cc954292b1d"
version = "0.4.0"

[[DiffResults]]
deps = ["StaticArrays"]
git-tree-sha1 = "c18e98cba888c6c25d1c3b048e4b3380ca956805"
uuid = "163ba53b-c6d8-5494-b064-1a9d43ac40c5"
version = "1.0.3"

[[DiffRules]]
deps = ["IrrationalConstants", "LogExpFunctions", "NaNMath", "Random", "SpecialFunctions"]
git-tree-sha1 = "dd933c4ef7b4c270aacd4eb88fa64c147492acf0"
uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
version = "1.10.0"

[[Distances]]
deps = ["LinearAlgebra", "SparseArrays", "Statistics", "StatsAPI"]
git-tree-sha1 = "3258d0659f812acde79e8a74b11f17ac06d0ca04"
uuid = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7"
version = "0.10.7"

[[Distributed]]
deps = ["Random", "Serialization", "Sockets"]
uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"

[[Distributions]]
deps = ["ChainRulesCore", "DensityInterface", "FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SparseArrays", "SpecialFunctions", "Statistics", "StatsBase", "StatsFuns", "Test"]
git-tree-sha1 = "5a4168170ede913a2cd679e53c2123cb4b889795"
uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
version = "0.25.53"

[[DistributionsAD]]
deps = ["Adapt", "ChainRules", "ChainRulesCore", "Compat", "DiffRules", "Distributions", "FillArrays", "LinearAlgebra", "NaNMath", "PDMats", "Random", "Requires", "SpecialFunctions", "StaticArrays", "StatsBase", "StatsFuns", "ZygoteRules"]
git-tree-sha1 = "b51ed93e06497fc4e7ff78bbca03c4f7951d2ec2"
uuid = "ced4e74d-a319-5a8a-b0ac-84af2272839c"
version = "0.6.38"

[[DocStringExtensions]]
deps = ["LibGit2"]
git-tree-sha1 = "b19534d1895d702889b219c382a6e18010797f0b"
uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
version = "0.8.6"

[[Downloads]]
deps = ["ArgTools", "LibCURL", "NetworkOptions"]
uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"

[[DynamicPPL]]
deps = ["AbstractMCMC", "AbstractPPL", "BangBang", "Bijectors", "ChainRulesCore", "Distributions", "LinearAlgebra", "MacroTools", "Random", "Setfield", "Test", "ZygoteRules"]
git-tree-sha1 = "5d1704965e4bf0c910693b09ece8163d75e28806"
uuid = "366bfd00-2699-11ea-058f-f148b4cae6d8"
version = "0.19.1"

[[EarCut_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "3f3a2501fa7236e9b911e0f7a588c657e822bb6d"
uuid = "5ae413db-bbd1-5e63-b57d-d24a61df00f5"
version = "2.2.3+0"

[[EllipticalSliceSampling]]
deps = ["AbstractMCMC", "ArrayInterface", "Distributions", "Random", "Statistics"]
git-tree-sha1 = "bed775e32c6f38a19c1dbe0298480798e6be455f"
uuid = "cad2338a-1db2-11e9-3401-43bc07c9ede2"
version = "0.5.0"

[[Expat_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "bad72f730e9e91c08d9427d5e8db95478a3c323d"
uuid = "2e619515-83b5-522b-bb60-26c02a35a201"
version = "2.4.8+0"

[[FFMPEG]]
deps = ["FFMPEG_jll"]
git-tree-sha1 = "b57e3acbe22f8484b4b5ff66a7499717fe1a9cc8"
uuid = "c87230d0-a227-11e9-1b43-d7ebe4e7570a"
version = "0.4.1"

[[FFMPEG_jll]]
deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "LAME_jll", "Libdl", "Ogg_jll", "OpenSSL_jll", "Opus_jll", "Pkg", "Zlib_jll", "libass_jll", "libfdk_aac_jll", "libvorbis_jll", "x264_jll", "x265_jll"]
git-tree-sha1 = "d8a578692e3077ac998b50c0217dfd67f21d1e5f"
uuid = "b22a6f82-2f65-5046-a5b2-351ab43fb4e5"
version = "4.4.0+0"

[[FFTW]]
deps = ["AbstractFFTs", "FFTW_jll", "LinearAlgebra", "MKL_jll", "Preferences", "Reexport"]
git-tree-sha1 = "505876577b5481e50d089c1c68899dfb6faebc62"
uuid = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
version = "1.4.6"

[[FFTW_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "c6033cc3892d0ef5bb9cd29b7f2f0331ea5184ea"
uuid = "f5851436-0d7a-5f13-b9de-f02708fd171a"
version = "3.3.10+0"

[[FillArrays]]
deps = ["LinearAlgebra", "Random", "SparseArrays", "Statistics"]
git-tree-sha1 = "246621d23d1f43e3b9c368bf3b72b2331a27c286"
uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
version = "0.13.2"

[[FiniteDiff]]
deps = ["ArrayInterface", "LinearAlgebra", "Requires", "SparseArrays", "StaticArrays"]
git-tree-sha1 = "56956d1e4c1221000b7781104c58c34019792951"
uuid = "6a86dc24-6348-571c-b903-95158fe2bd41"
version = "2.11.0"

[[FixedPointNumbers]]
deps = ["Statistics"]
git-tree-sha1 = "335bfdceacc84c5cdf16aadc768aa5ddfc5383cc"
uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93"
version = "0.8.4"

[[Fontconfig_jll]]
deps = ["Artifacts", "Bzip2_jll", "Expat_jll", "FreeType2_jll", "JLLWrappers", "Libdl", "Libuuid_jll", "Pkg", "Zlib_jll"]
git-tree-sha1 = "21efd19106a55620a188615da6d3d06cd7f6ee03"
uuid = "a3f928ae-7b40-5064-980b-68af3947d34b"
version = "2.13.93+0"

[[Formatting]]
deps = ["Printf"]
git-tree-sha1 = "8339d61043228fdd3eb658d86c926cb282ae72a8"
uuid = "59287772-0a20-5a39-b81b-1366585eb4c0"
version = "0.4.2"

[[ForwardDiff]]
deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "LogExpFunctions", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions", "StaticArrays"]
git-tree-sha1 = "1bd6fc0c344fc0cbee1f42f8d2e7ec8253dda2d2"
uuid = "f6369f11-7733-5829-9624-2563aa707210"
version = "0.10.25"

[[FreeType2_jll]]
deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "87eb71354d8ec1a96d4a7636bd57a7347dde3ef9"
uuid = "d7e528f0-a631-5988-bf34-fe36492bcfd7"
version = "2.10.4+0"

[[FriBidi_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "aa31987c2ba8704e23c6c8ba8a4f769d5d7e4f91"
uuid = "559328eb-81f9-559d-9380-de523a88c83c"
version = "1.0.10+0"

[[Functors]]
git-tree-sha1 = "223fffa49ca0ff9ce4f875be001ffe173b2b7de4"
uuid = "d9f16b24-f501-4c13-a1f2-28368ffc5196"
version = "0.2.8"

[[Future]]
deps = ["Random"]
uuid = "9fa8497b-333b-5362-9e8d-4d0656e87820"

[[GLFW_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libglvnd_jll", "Pkg", "Xorg_libXcursor_jll", "Xorg_libXi_jll", "Xorg_libXinerama_jll", "Xorg_libXrandr_jll"]
git-tree-sha1 = "51d2dfe8e590fbd74e7a842cf6d13d8a2f45dc01"
uuid = "0656b61e-2033-5cc2-a64a-77c0f6c09b89"
version = "3.3.6+0"

[[GR]]
deps = ["Base64", "DelimitedFiles", "GR_jll", "HTTP", "JSON", "Libdl", "LinearAlgebra", "Pkg", "Printf", "Random", "RelocatableFolders", "Serialization", "Sockets", "Test", "UUIDs"]
git-tree-sha1 = "af237c08bda486b74318c8070adb96efa6952530"
uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71"
version = "0.64.2"

[[GR_jll]]
deps = ["Artifacts", "Bzip2_jll", "Cairo_jll", "FFMPEG_jll", "Fontconfig_jll", "GLFW_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pixman_jll", "Pkg", "Qt5Base_jll", "Zlib_jll", "libpng_jll"]
git-tree-sha1 = "cd6efcf9dc746b06709df14e462f0a3fe0786b1e"
uuid = "d2c73de3-f751-5644-a686-071e5b155ba9"
version = "0.64.2+0"

[[GeometryBasics]]
deps = ["EarCut_jll", "IterTools", "LinearAlgebra", "StaticArrays", "StructArrays", "Tables"]
git-tree-sha1 = "83ea630384a13fc4f002b77690bc0afeb4255ac9"
uuid = "5c1252a2-5f33-56bf-86c9-59e7332b4326"
version = "0.4.2"

[[Gettext_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "XML2_jll"]
git-tree-sha1 = "9b02998aba7bf074d14de89f9d37ca24a1a0b046"
uuid = "78b55507-aeef-58d4-861c-77aaff3498b1"
version = "0.21.0+0"

[[Glib_jll]]
deps = ["Artifacts", "Gettext_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Libiconv_jll", "Libmount_jll", "PCRE_jll", "Pkg", "Zlib_jll"]
git-tree-sha1 = "a32d672ac2c967f3deb8a81d828afc739c838a06"
uuid = "7746bdde-850d-59dc-9ae8-88ece973131d"
version = "2.68.3+2"

[[Graphite2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "344bf40dcab1073aca04aa0df4fb092f920e4011"
uuid = "3b182d85-2403-5c21-9c21-1e1f0cc25472"
version = "1.3.14+0"

[[Grisu]]
git-tree-sha1 = "53bb909d1151e57e2484c3d1b53e19552b887fb2"
uuid = "42e2da0e-8278-4e71-bc24-59509adca0fe"
version = "1.0.2"

[[HTTP]]
deps = ["Base64", "Dates", "IniFile", "Logging", "MbedTLS", "NetworkOptions", "Sockets", "URIs"]
git-tree-sha1 = "0fa77022fe4b511826b39c894c90daf5fce3334a"
uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3"
version = "0.9.17"

[[HarfBuzz_jll]]
deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg"]
git-tree-sha1 = "129acf094d168394e80ee1dc4bc06ec835e510a3"
uuid = "2e76f6c2-a576-52d4-95c1-20adfe4de566"
version = "2.8.1+1"

[[IRTools]]
deps = ["InteractiveUtils", "MacroTools", "Test"]
git-tree-sha1 = "7f43342f8d5fd30ead0ba1b49ab1a3af3b787d24"
uuid = "7869d1d1-7146-5819-86e3-90919afe41df"
version = "0.4.5"

[[IfElse]]
git-tree-sha1 = "debdd00ffef04665ccbb3e150747a77560e8fad1"
uuid = "615f187c-cbe4-4ef1-ba3b-2fcf58d6d173"
version = "0.1.1"

[[IniFile]]
git-tree-sha1 = "f550e6e32074c939295eb5ea6de31849ac2c9625"
uuid = "83e8ac13-25f8-5344-8a64-a9f2b223428f"
version = "0.5.1"

[[InitialValues]]
git-tree-sha1 = "4da0f88e9a39111c2fa3add390ab15f3a44f3ca3"
uuid = "22cec73e-a1b8-11e9-2c92-598750a2cf9c"
version = "0.3.1"

[[InplaceOps]]
deps = ["LinearAlgebra", "Test"]
git-tree-sha1 = "50b41d59e7164ab6fda65e71049fee9d890731ff"
uuid = "505f98c9-085e-5b2c-8e89-488be7bf1f34"
version = "0.3.0"

[[IntelOpenMP_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "d979e54b71da82f3a65b62553da4fc3d18c9004c"
uuid = "1d5cc7b8-4909-519e-a0f8-d0f5ad9712d0"
version = "2018.0.3+2"

[[InteractiveUtils]]
deps = ["Markdown"]
uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"

[[Interpolations]]
deps = ["AxisAlgorithms", "ChainRulesCore", "LinearAlgebra", "OffsetArrays", "Random", "Ratios", "Requires", "SharedArrays", "SparseArrays", "StaticArrays", "WoodburyMatrices"]
git-tree-sha1 = "b15fc0a95c564ca2e0a7ae12c1f095ca848ceb31"
uuid = "a98d9a8b-a2ab-59e6-89dd-64a1c18fca59"
version = "0.13.5"

[[IntervalSets]]
deps = ["Dates", "Statistics"]
git-tree-sha1 = "be25da7314bea50ad8303325ba08d9257bf19f9c"
uuid = "8197267c-284f-5f27-9208-e0e47529a953"
version = "0.6.0"

[[InverseFunctions]]
deps = ["Test"]
git-tree-sha1 = "91b5dcf362c5add98049e6c29ee756910b03051d"
uuid = "3587e190-3f89-42d0-90ee-14403ec27112"
version = "0.1.3"

[[InvertedIndices]]
git-tree-sha1 = "bee5f1ef5bf65df56bdd2e40447590b272a5471f"
uuid = "41ab1584-1d38-5bbf-9106-f11c6c58b48f"
version = "1.1.0"

[[IrrationalConstants]]
git-tree-sha1 = "7fd44fd4ff43fc60815f8e764c0f352b83c49151"
uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
version = "0.1.1"

[[IterTools]]
git-tree-sha1 = "fa6287a4469f5e048d763df38279ee729fbd44e5"
uuid = "c8e1da08-722c-5040-9ed9-7db0dc04731e"
version = "1.4.0"

[[IteratorInterfaceExtensions]]
git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856"
uuid = "82899510-4779-5014-852e-03e436cf321d"
version = "1.0.0"

[[JLLWrappers]]
deps = ["Preferences"]
git-tree-sha1 = "abc9885a7ca2052a736a600f7fa66209f96506e1"
uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
version = "1.4.1"

[[JSON]]
deps = ["Dates", "Mmap", "Parsers", "Unicode"]
git-tree-sha1 = "3c837543ddb02250ef42f4738347454f95079d4e"
uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
version = "0.21.3"

[[JpegTurbo_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "b53380851c6e6664204efb2e62cd24fa5c47e4ba"
uuid = "aacddb02-875f-59d6-b918-886e6ef4fbf8"
version = "2.1.2+0"

[[KernelDensity]]
deps = ["Distributions", "DocStringExtensions", "FFTW", "Interpolations", "StatsBase"]
git-tree-sha1 = "591e8dc09ad18386189610acafb970032c519707"
uuid = "5ab0869b-81aa-558d-bb23-cbf5423bbe9b"
version = "0.6.3"

[[LAME_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "f6250b16881adf048549549fba48b1161acdac8c"
uuid = "c1c5ebd0-6772-5130-a774-d5fcae4a789d"
version = "3.100.1+0"

[[LERC_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "bf36f528eec6634efc60d7ec062008f171071434"
uuid = "88015f11-f218-50d7-93a8-a6af411a945d"
version = "3.0.0+1"

[[LRUCache]]
git-tree-sha1 = "d64a0aff6691612ab9fb0117b0995270871c5dfc"
uuid = "8ac3fa9e-de4c-5943-b1dc-09c6b5f20637"
version = "1.3.0"

[[LZO_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "e5b909bcf985c5e2605737d2ce278ed791b89be6"
uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac"
version = "2.10.1+0"

[[LaTeXStrings]]
git-tree-sha1 = "f2355693d6778a178ade15952b7ac47a4ff97996"
uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
version = "1.3.0"

[[Latexify]]
deps = ["Formatting", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "Printf", "Requires"]
git-tree-sha1 = "6f14549f7760d84b2db7a9b10b88cd3cc3025730"
uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
version = "0.15.14"

[[LazyArtifacts]]
deps = ["Artifacts", "Pkg"]
uuid = "4af54fe1-eca0-43a8-85a7-787d91b784e3"

[[LeftChildRightSiblingTrees]]
deps = ["AbstractTrees"]
git-tree-sha1 = "b864cb409e8e445688bc478ef87c0afe4f6d1f8d"
uuid = "1d6d02ad-be62-4b6b-8a6d-2f90e265016e"
version = "0.1.3"

[[LibCURL]]
deps = ["LibCURL_jll", "MozillaCACerts_jll"]
uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"

[[LibCURL_jll]]
deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"

[[LibGit2]]
deps = ["Base64", "NetworkOptions", "Printf", "SHA"]
uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"

[[LibSSH2_jll]]
deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"

[[Libdl]]
uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"

[[Libffi_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "0b4a5d71f3e5200a7dff793393e09dfc2d874290"
uuid = "e9f186c6-92d2-5b65-8a66-fee21dc1b490"
version = "3.2.2+1"

[[Libgcrypt_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgpg_error_jll", "Pkg"]
git-tree-sha1 = "64613c82a59c120435c067c2b809fc61cf5166ae"
uuid = "d4300ac3-e22c-5743-9152-c294e39db1e4"
version = "1.8.7+0"

[[Libglvnd_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll", "Xorg_libXext_jll"]
git-tree-sha1 = "7739f837d6447403596a75d19ed01fd08d6f56bf"
uuid = "7e76a0d4-f3c7-5321-8279-8d96eeed0f29"
version = "1.3.0+3"

[[Libgpg_error_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "c333716e46366857753e273ce6a69ee0945a6db9"
uuid = "7add5ba3-2f88-524e-9cd5-f83b8a55f7b8"
version = "1.42.0+0"

[[Libiconv_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "42b62845d70a619f063a7da093d995ec8e15e778"
uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531"
version = "1.16.1+1"

[[Libmount_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "9c30530bf0effd46e15e0fdcf2b8636e78cbbd73"
uuid = "4b2f31a3-9ecc-558c-b454-b3730dcb73e9"
version = "2.35.0+0"

[[Libtask]]
deps = ["IRTools", "LRUCache", "LinearAlgebra", "MacroTools", "Statistics"]
git-tree-sha1 = "ed1b54f6df6fb7af8b315cfdc288ab5572dbd3ba"
uuid = "6f1fad26-d15e-5dc8-ae53-837a1d7b8c9f"
version = "0.7.0"

[[Libtiff_jll]]
deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "LERC_jll", "Libdl", "Pkg", "Zlib_jll", "Zstd_jll"]
git-tree-sha1 = "c9551dd26e31ab17b86cbd00c2ede019c08758eb"
uuid = "89763e89-9b03-5906-acba-b20f662cd828"
version = "4.3.0+1"

[[Libuuid_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "7f3efec06033682db852f8b3bc3c1d2b0a0ab066"
uuid = "38a345b3-de98-5d2b-a5d3-14cd9215e700"
version = "2.36.0+0"

[[LinearAlgebra]]
deps = ["Libdl"]
uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"

[[LogExpFunctions]]
deps = ["ChainRulesCore", "ChangesOfVariables", "DocStringExtensions", "InverseFunctions", "IrrationalConstants", "LinearAlgebra"]
git-tree-sha1 = "a970d55c2ad8084ca317a4658ba6ce99b7523571"
uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
version = "0.3.12"

[[Logging]]
uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"

[[LoggingExtras]]
deps = ["Dates", "Logging"]
git-tree-sha1 = "dfeda1c1130990428720de0024d4516b1902ce98"
uuid = "e6f89c97-d47a-5376-807f-9c37f3926c36"
version = "0.4.7"

[[LsqFit]]
deps = ["Distributions", "ForwardDiff", "LinearAlgebra", "NLSolversBase", "OptimBase", "Random", "StatsBase"]
git-tree-sha1 = "91aa1442e63a77f101aff01dec5a821a17f43922"
uuid = "2fda8390-95c7-5789-9bda-21331edee243"
version = "0.12.1"

[[MCMCChains]]
deps = ["AbstractMCMC", "AxisArrays", "Compat", "Dates", "Distributions", "Formatting", "IteratorInterfaceExtensions", "KernelDensity", "LinearAlgebra", "MCMCDiagnosticTools", "MLJModelInterface", "NaturalSort", "OrderedCollections", "PrettyTables", "Random", "RecipesBase", "Serialization", "Statistics", "StatsBase", "StatsFuns", "TableTraits", "Tables"]
git-tree-sha1 = "872da3b1f21fa79c66723225efabc878f18509ed"
uuid = "c7f686f2-ff18-58e9-bc7b-31028e88f75d"
version = "5.1.0"

[[MCMCDiagnosticTools]]
deps = ["AbstractFFTs", "DataAPI", "Distributions", "LinearAlgebra", "MLJModelInterface", "Random", "SpecialFunctions", "Statistics", "StatsBase", "Tables"]
git-tree-sha1 = "058d08594e91ba1d98dcc3669f9421a76824aa95"
uuid = "be115224-59cd-429b-ad48-344e309966f0"
version = "0.1.3"

[[MKL_jll]]
deps = ["Artifacts", "IntelOpenMP_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "Pkg"]
git-tree-sha1 = "e595b205efd49508358f7dc670a940c790204629"
uuid = "856f044c-d86e-5d09-b602-aeab76dc8ba7"
version = "2022.0.0+0"

[[MLJModelInterface]]
deps = ["Random", "ScientificTypesBase", "StatisticalTraits"]
git-tree-sha1 = "74d7fb54c306af241c5f9d4816b735cb4051e125"
uuid = "e80e1ace-859a-464e-9ed9-23947d8ae3ea"
version = "1.4.2"

[[MacroTools]]
deps = ["Markdown", "Random"]
git-tree-sha1 = "3d3e902b31198a27340d0bf00d6ac452866021cf"
uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
version = "0.5.9"

[[MappedArrays]]
git-tree-sha1 = "e8b359ef06ec72e8c030463fe02efe5527ee5142"
uuid = "dbb5928d-eab1-5f90-85c2-b9b0edb7c900"
version = "0.4.1"

[[Markdown]]
deps = ["Base64"]
uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"

[[MbedTLS]]
deps = ["Dates", "MbedTLS_jll", "Random", "Sockets"]
git-tree-sha1 = "1c38e51c3d08ef2278062ebceade0e46cefc96fe"
uuid = "739be429-bea8-5141-9913-cc70e7f3736d"
version = "1.0.3"

[[MbedTLS_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"

[[Measures]]
git-tree-sha1 = "e498ddeee6f9fdb4551ce855a46f54dbd900245f"
uuid = "442fdcdd-2543-5da2-b0f3-8c86c306513e"
version = "0.3.1"

[[MicroCollections]]
deps = ["BangBang", "InitialValues", "Setfield"]
git-tree-sha1 = "6bb7786e4f24d44b4e29df03c69add1b63d88f01"
uuid = "128add7d-3638-4c79-886c-908ea0c25c34"
version = "0.1.2"

[[Missings]]
deps = ["DataAPI"]
git-tree-sha1 = "bf210ce90b6c9eed32d25dbcae1ebc565df2687f"
uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
version = "1.0.2"

[[Mmap]]
uuid = "a63ad114-7e13-5084-954f-fe012c677804"

[[MozillaCACerts_jll]]
uuid = "14a3606d-f60d-562e-9121-12d972cd8159"

[[MultivariateStats]]
deps = ["Arpack", "LinearAlgebra", "SparseArrays", "Statistics", "StatsAPI", "StatsBase"]
git-tree-sha1 = "7008a3412d823e29d370ddc77411d593bd8a3d03"
uuid = "6f286f6a-111f-5878-ab1e-185364afe411"
version = "0.9.1"

[[NLSolversBase]]
deps = ["DiffResults", "Distributed", "FiniteDiff", "ForwardDiff"]
git-tree-sha1 = "50310f934e55e5ca3912fb941dec199b49ca9b68"
uuid = "d41bc354-129a-5804-8e4c-c37616107c6c"
version = "7.8.2"

[[NNlib]]
deps = ["Adapt", "ChainRulesCore", "Compat", "LinearAlgebra", "Pkg", "Requires", "Statistics"]
git-tree-sha1 = "a59a614b8b4ea6dc1dcec8c6514e251f13ccbe10"
uuid = "872c559c-99b0-510c-b3b7-b6c96a88d5cd"
version = "0.8.4"

[[NaNMath]]
git-tree-sha1 = "b086b7ea07f8e38cf122f5016af580881ac914fe"
uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
version = "0.3.7"

[[NamedArrays]]
deps = ["Combinatorics", "DataStructures", "DelimitedFiles", "InvertedIndices", "LinearAlgebra", "Random", "Requires", "SparseArrays", "Statistics"]
git-tree-sha1 = "2fd5787125d1a93fbe30961bd841707b8a80d75b"
uuid = "86f7a689-2022-50b4-a561-43c23ac3c673"
version = "0.9.6"

[[NaturalSort]]
git-tree-sha1 = "eda490d06b9f7c00752ee81cfa451efe55521e21"
uuid = "c020b1a1-e9b0-503a-9c33-f039bfc54a85"
version = "1.0.0"

[[NearestNeighbors]]
deps = ["Distances", "StaticArrays"]
git-tree-sha1 = "ded92de95031d4a8c61dfb6ba9adb6f1d8016ddd"
uuid = "b8a86587-4115-5ab1-83bc-aa920d37bbce"
version = "0.4.10"

[[NetworkOptions]]
uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"

[[Observables]]
git-tree-sha1 = "fe29afdef3d0c4a8286128d4e45cc50621b1e43d"
uuid = "510215fc-4207-5dde-b226-833fc4488ee2"
version = "0.4.0"

[[OffsetArrays]]
deps = ["Adapt"]
git-tree-sha1 = "043017e0bdeff61cfbb7afeb558ab29536bbb5ed"
uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
version = "1.10.8"

[[Ogg_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "887579a3eb005446d514ab7aeac5d1d027658b8f"
uuid = "e7412a2a-1a6e-54c0-be00-318e2571c051"
version = "1.3.5+1"

[[OpenBLAS_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"

[[OpenLibm_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "05823500-19ac-5b8b-9628-191a04bc5112"

[[OpenSSL_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "ab05aa4cc89736e95915b01e7279e61b1bfe33b8"
uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
version = "1.1.14+0"

[[OpenSpecFun_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1"
uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
version = "0.5.5+0"

[[OptimBase]]
deps = ["NLSolversBase", "Printf", "Reexport"]
git-tree-sha1 = "9cb1fee807b599b5f803809e85c81b582d2009d6"
uuid = "87e2bd06-a317-5318-96d9-3ecbac512eee"
version = "2.0.2"

[[Opus_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "51a08fb14ec28da2ec7a927c4337e4332c2a4720"
uuid = "91d4177d-7536-5919-b921-800302f37372"
version = "1.3.2+0"

[[OrderedCollections]]
git-tree-sha1 = "85f8e6578bf1f9ee0d11e7bb1b1456435479d47c"
uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
version = "1.4.1"

[[PCRE_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "b2a7af664e098055a7529ad1a900ded962bca488"
uuid = "2f80f16e-611a-54ab-bc61-aa92de5b98fc"
version = "8.44.0+0"

[[PDMats]]
deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
git-tree-sha1 = "e8185b83b9fc56eb6456200e873ce598ebc7f262"
uuid = "90014a1f-27ba-587c-ab20-58faa44d9150"
version = "0.11.7"

[[Parsers]]
deps = ["Dates"]
git-tree-sha1 = "621f4f3b4977325b9128d5fae7a8b4829a0c2222"
uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
version = "2.2.4"

[[Pixman_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "b4f5d02549a10e20780a24fce72bea96b6329e29"
uuid = "30392449-352a-5448-841d-b1acce4e97dc"
version = "0.40.1+0"

[[Pkg]]
deps = ["Artifacts", "Dates", "Downloads", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"

[[PlotThemes]]
deps = ["PlotUtils", "Statistics"]
git-tree-sha1 = "8162b2f8547bc23876edd0c5181b27702ae58dce"
uuid = "ccf2f8ad-2431-5c83-bf29-c5338b663b6a"
version = "3.0.0"

[[PlotUtils]]
deps = ["ColorSchemes", "Colors", "Dates", "Printf", "Random", "Reexport", "Statistics"]
git-tree-sha1 = "bb16469fd5224100e422f0b027d26c5a25de1200"
uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
version = "1.2.0"

[[Plots]]
deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "GeometryBasics", "JSON", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "Requires", "Scratch", "Showoff", "SparseArrays", "Statistics", "StatsBase", "UUIDs", "UnicodeFun", "Unzip"]
git-tree-sha1 = "88ee01b02fba3c771ac4dce0dfc4ecf0cb6fb772"
uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
version = "1.27.5"

[[Preferences]]
deps = ["TOML"]
git-tree-sha1 = "d3538e7f8a790dc8903519090857ef8e1283eecd"
uuid = "21216c6a-2e73-6563-6e65-726566657250"
version = "1.2.5"

[[PrettyTables]]
deps = ["Crayons", "Formatting", "Markdown", "Reexport", "Tables"]
git-tree-sha1 = "dfb54c4e414caa595a1f2ed759b160f5a3ddcba5"
uuid = "08abe8d2-0d0c-5749-adfa-8a2ac140af0d"
version = "1.3.1"

[[Printf]]
deps = ["Unicode"]
uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"

[[ProgressLogging]]
deps = ["Logging", "SHA", "UUIDs"]
git-tree-sha1 = "80d919dee55b9c50e8d9e2da5eeafff3fe58b539"
uuid = "33c8b6b6-d38a-422a-b730-caa89a2f386c"
version = "0.1.4"

[[ProgressMeter]]
deps = ["Distributed", "Printf"]
git-tree-sha1 = "d7a7aef8f8f2d537104f170139553b14dfe39fe9"
uuid = "92933f4c-e287-5a05-a399-4b506db050ca"
version = "1.7.2"

[[Qt5Base_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "Fontconfig_jll", "Glib_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "OpenSSL_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libxcb_jll", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_keysyms_jll", "Xorg_xcb_util_renderutil_jll", "Xorg_xcb_util_wm_jll", "Zlib_jll", "xkbcommon_jll"]
git-tree-sha1 = "ad368663a5e20dbb8d6dc2fddeefe4dae0781ae8"
uuid = "ea2cea3b-5b76-57ae-a6ef-0a8af62496e1"
version = "5.15.3+0"

[[QuadGK]]
deps = ["DataStructures", "LinearAlgebra"]
git-tree-sha1 = "78aadffb3efd2155af139781b8a8df1ef279ea39"
uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
version = "2.4.2"

[[REPL]]
deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"

[[Random]]
deps = ["Serialization"]
uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"

[[RangeArrays]]
git-tree-sha1 = "b9039e93773ddcfc828f12aadf7115b4b4d225f5"
uuid = "b3c3ace0-ae52-54e7-9d0b-2c1406fd6b9d"
version = "0.3.2"

[[Ratios]]
deps = ["Requires"]
git-tree-sha1 = "dc84268fe0e3335a62e315a3a7cf2afa7178a734"
uuid = "c84ed2f1-dad5-54f0-aa8e-dbefe2724439"
version = "0.4.3"

[[RealDot]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "9f0a1b71baaf7650f4fa8a1d168c7fb6ee41f0c9"
uuid = "c1ae055f-0cd5-4b69-90a6-9a35b1a98df9"
version = "0.1.0"

[[RecipesBase]]
git-tree-sha1 = "6bf3f380ff52ce0832ddd3a2a7b9538ed1bcca7d"
uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
version = "1.2.1"

[[RecipesPipeline]]
deps = ["Dates", "NaNMath", "PlotUtils", "RecipesBase"]
git-tree-sha1 = "dc1e451e15d90347a7decc4221842a022b011714"
uuid = "01d81517-befc-4cb6-b9ec-a95719d0359c"
version = "0.5.2"

[[RecursiveArrayTools]]
deps = ["Adapt", "ArrayInterface", "ChainRulesCore", "DocStringExtensions", "FillArrays", "LinearAlgebra", "RecipesBase", "Requires", "StaticArrays", "Statistics", "ZygoteRules"]
git-tree-sha1 = "bfe14f127f3e7def02a6c2b1940b39d0dabaa3ef"
uuid = "731186ca-8d62-57ce-b412-fbd966d074cd"
version = "2.26.3"

[[Reexport]]
git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
uuid = "189a3867-3050-52da-a836-e630ba90ab69"
version = "1.2.2"

[[RelocatableFolders]]
deps = ["SHA", "Scratch"]
git-tree-sha1 = "cdbd3b1338c72ce29d9584fdbe9e9b70eeb5adca"
uuid = "05181044-ff0b-4ac5-8273-598c1e38db00"
version = "0.1.3"

[[Requires]]
deps = ["UUIDs"]
git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7"
uuid = "ae029012-a4dd-5104-9daa-d747884805df"
version = "1.3.0"

[[Rmath]]
deps = ["Random", "Rmath_jll"]
git-tree-sha1 = "bf3188feca147ce108c76ad82c2792c57abe7b1f"
uuid = "79098fc4-a85e-5d69-aa6a-4863f24498fa"
version = "0.7.0"

[[Rmath_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "68db32dff12bb6127bac73c209881191bf0efbb7"
uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f"
version = "0.3.0+0"

[[Roots]]
deps = ["CommonSolve", "Printf", "Setfield"]
git-tree-sha1 = "838b60ee62bebc794864c880a47e331e00c47505"
uuid = "f2b01f46-fcfa-551c-844a-d8ac1e96c665"
version = "1.4.1"

[[SHA]]
uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"

[[SciMLBase]]
deps = ["ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "RecipesBase", "RecursiveArrayTools", "StaticArrays", "Statistics", "Tables", "TreeViews"]
git-tree-sha1 = "61159e034c4cb36b76ad2926bb5bf8c28cc2fb12"
uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
version = "1.29.0"

[[ScientificTypesBase]]
git-tree-sha1 = "a8e18eb383b5ecf1b5e6fc237eb39255044fd92b"
uuid = "30f210dd-8aff-4c5f-94ba-8e64358c1161"
version = "3.0.0"

[[Scratch]]
deps = ["Dates"]
git-tree-sha1 = "0b4b7f1393cff97c33891da2a0bf69c6ed241fda"
uuid = "6c6a2e73-6563-6170-7368-637461726353"
version = "1.1.0"

[[SentinelArrays]]
deps = ["Dates", "Random"]
git-tree-sha1 = "6a2f7d70512d205ca8c7ee31bfa9f142fe74310c"
uuid = "91c51154-3ec4-41a3-a24f-3f23e20d615c"
version = "1.3.12"

[[Serialization]]
uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"

[[Setfield]]
deps = ["ConstructionBase", "Future", "MacroTools", "Requires"]
git-tree-sha1 = "38d88503f695eb0301479bc9b0d4320b378bafe5"
uuid = "efcf1570-3423-57d1-acb7-fd33fddbac46"
version = "0.8.2"

[[SharedArrays]]
deps = ["Distributed", "Mmap", "Random", "Serialization"]
uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"

[[Showoff]]
deps = ["Dates", "Grisu"]
git-tree-sha1 = "91eddf657aca81df9ae6ceb20b959ae5653ad1de"
uuid = "992d4aef-0814-514b-bc4d-f2e9a6c4116f"
version = "1.0.3"

[[Sockets]]
uuid = "6462fe0b-24de-5631-8697-dd941f90decc"

[[SortingAlgorithms]]
deps = ["DataStructures"]
git-tree-sha1 = "b3363d7460f7d098ca0912c69b082f75625d7508"
uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
version = "1.0.1"

[[SparseArrays]]
deps = ["LinearAlgebra", "Random"]
uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"

[[SpecialFunctions]]
deps = ["ChainRulesCore", "IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
git-tree-sha1 = "5ba658aeecaaf96923dce0da9e703bd1fe7666f9"
uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
version = "2.1.4"

[[SplittablesBase]]
deps = ["Setfield", "Test"]
git-tree-sha1 = "39c9f91521de844bad65049efd4f9223e7ed43f9"
uuid = "171d559e-b47b-412a-8079-5efa626c420e"
version = "0.1.14"

[[Static]]
deps = ["IfElse"]
git-tree-sha1 = "87e9954dfa33fd145694e42337bdd3d5b07021a6"
uuid = "aedffcd0-7271-4cad-89d0-dc628f76c6d3"
version = "0.6.0"

[[StaticArrays]]
deps = ["LinearAlgebra", "Random", "Statistics"]
git-tree-sha1 = "4f6ec5d99a28e1a749559ef7dd518663c5eca3d5"
uuid = "90137ffa-7385-5640-81b9-e52037218182"
version = "1.4.3"

[[StatisticalTraits]]
deps = ["ScientificTypesBase"]
git-tree-sha1 = "271a7fea12d319f23d55b785c51f6876aadb9ac0"
uuid = "64bff920-2084-43da-a3e6-9bb72801c0c9"
version = "3.0.0"

[[Statistics]]
deps = ["LinearAlgebra", "SparseArrays"]
uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"

[[StatsAPI]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "8d7530a38dbd2c397be7ddd01a424e4f411dcc41"
uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
version = "1.2.2"

[[StatsBase]]
deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
git-tree-sha1 = "8977b17906b0a1cc74ab2e3a05faa16cf08a8291"
uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
version = "0.33.16"

[[StatsFuns]]
deps = ["ChainRulesCore", "InverseFunctions", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"]
git-tree-sha1 = "5950925ff997ed6fb3e985dcce8eb1ba42a0bbe7"
uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
version = "0.9.18"

[[StatsPlots]]
deps = ["AbstractFFTs", "Clustering", "DataStructures", "DataValues", "Distributions", "Interpolations", "KernelDensity", "LinearAlgebra", "MultivariateStats", "Observables", "Plots", "RecipesBase", "RecipesPipeline", "Reexport", "StatsBase", "TableOperations", "Tables", "Widgets"]
git-tree-sha1 = "4d9c69d65f1b270ad092de0abe13e859b8c55cad"
uuid = "f3b207a7-027a-5e70-b257-86293d7955fd"
version = "0.14.33"

[[StructArrays]]
deps = ["Adapt", "DataAPI", "StaticArrays", "Tables"]
git-tree-sha1 = "57617b34fa34f91d536eb265df67c2d4519b8b98"
uuid = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
version = "0.6.5"

[[SuiteSparse]]
deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"]
uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9"

[[TOML]]
deps = ["Dates"]
uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"

[[TableOperations]]
deps = ["SentinelArrays", "Tables", "Test"]
git-tree-sha1 = "e383c87cf2a1dc41fa30c093b2a19877c83e1bc1"
uuid = "ab02a1b2-a7df-11e8-156e-fb1833f50b87"
version = "1.2.0"

[[TableTraits]]
deps = ["IteratorInterfaceExtensions"]
git-tree-sha1 = "c06b2f539df1c6efa794486abfb6ed2022561a39"
uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c"
version = "1.0.1"

[[Tables]]
deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "OrderedCollections", "TableTraits", "Test"]
git-tree-sha1 = "5ce79ce186cc678bbb5c5681ca3379d1ddae11a1"
uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
version = "1.7.0"

[[Tar]]
deps = ["ArgTools", "SHA"]
uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"

[[TerminalLoggers]]
deps = ["LeftChildRightSiblingTrees", "Logging", "Markdown", "Printf", "ProgressLogging", "UUIDs"]
git-tree-sha1 = "62846a48a6cd70e63aa29944b8c4ef704360d72f"
uuid = "5d786b92-1e48-4d6f-9151-6b4477ca9bed"
version = "0.1.5"

[[Test]]
deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"

[[Tracker]]
deps = ["Adapt", "DiffRules", "ForwardDiff", "LinearAlgebra", "LogExpFunctions", "MacroTools", "NNlib", "NaNMath", "Printf", "Random", "Requires", "SpecialFunctions", "Statistics"]
git-tree-sha1 = "0874c1b5de1b5529b776cfeca3ec0acfada97b1b"
uuid = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
version = "0.2.20"

[[Transducers]]
deps = ["Adapt", "ArgCheck", "BangBang", "Baselet", "CompositionsBase", "DefineSingletons", "Distributed", "InitialValues", "Logging", "Markdown", "MicroCollections", "Requires", "Setfield", "SplittablesBase", "Tables"]
git-tree-sha1 = "c76399a3bbe6f5a88faa33c8f8a65aa631d95013"
uuid = "28d57a85-8fef-5791-bfe6-a80928e7c999"
version = "0.4.73"

[[TreeViews]]
deps = ["Test"]
git-tree-sha1 = "8d0d7a3fe2f30d6a7f833a5f19f7c7a5b396eae6"
uuid = "a2a6695c-b41b-5b7d-aed9-dbfdeacea5d7"
version = "0.3.0"

[[Turing]]
deps = ["AbstractMCMC", "AdvancedHMC", "AdvancedMH", "AdvancedPS", "AdvancedVI", "BangBang", "Bijectors", "DataStructures", "Distributions", "DistributionsAD", "DocStringExtensions", "DynamicPPL", "EllipticalSliceSampling", "ForwardDiff", "Libtask", "LinearAlgebra", "MCMCChains", "NamedArrays", "Printf", "Random", "Reexport", "Requires", "SciMLBase", "SpecialFunctions", "Statistics", "StatsBase", "StatsFuns", "Tracker", "ZygoteRules"]
git-tree-sha1 = "ef0fdc72023c4480a9372f32db88cce68b186e8a"
uuid = "fce5fe82-541a-59a6-adf8-730c64b5f9a0"
version = "0.21.1"

[[URIs]]
git-tree-sha1 = "97bbe755a53fe859669cd907f2d96aee8d2c1355"
uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4"
version = "1.3.0"

[[UUIDs]]
deps = ["Random", "SHA"]
uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"

[[UnPack]]
git-tree-sha1 = "387c1f73762231e86e0c9c5443ce3b4a0a9a0c2b"
uuid = "3a884ed6-31ef-47d7-9d2a-63182c4928ed"
version = "1.0.2"

[[Unicode]]
uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"

[[UnicodeFun]]
deps = ["REPL"]
git-tree-sha1 = "53915e50200959667e78a92a418594b428dffddf"
uuid = "1cfade01-22cf-5700-b092-accc4b62d6e1"
version = "0.4.1"

[[Unzip]]
git-tree-sha1 = "34db80951901073501137bdbc3d5a8e7bbd06670"
uuid = "41fe7b60-77ed-43a1-b4f0-825fd5a5650d"
version = "0.1.2"

[[Wayland_jll]]
deps = ["Artifacts", "Expat_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg", "XML2_jll"]
git-tree-sha1 = "3e61f0b86f90dacb0bc0e73a0c5a83f6a8636e23"
uuid = "a2964d1f-97da-50d4-b82a-358c7fce9d89"
version = "1.19.0+0"

[[Wayland_protocols_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4528479aa01ee1b3b4cd0e6faef0e04cf16466da"
uuid = "2381bf8a-dfd0-557d-9999-79630e7b1b91"
version = "1.25.0+0"

[[Widgets]]
deps = ["Colors", "Dates", "Observables", "OrderedCollections"]
git-tree-sha1 = "505c31f585405fc375d99d02588f6ceaba791241"
uuid = "cc8bc4a8-27d6-5769-a93b-9d913e69aa62"
version = "0.6.5"

[[WoodburyMatrices]]
deps = ["LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "de67fa59e33ad156a590055375a30b23c40299d3"
uuid = "efce3f68-66dc-5838-9240-27a6d6f5f9b6"
version = "0.5.5"

[[XML2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "Zlib_jll"]
git-tree-sha1 = "1acf5bdf07aa0907e0a37d3718bb88d4b687b74a"
uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
version = "2.9.12+0"

[[XSLT_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "Pkg", "XML2_jll", "Zlib_jll"]
git-tree-sha1 = "91844873c4085240b95e795f692c4cec4d805f8a"
uuid = "aed1982a-8fda-507f-9586-7b0439959a61"
version = "1.1.34+0"

[[Xorg_libX11_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll", "Xorg_xtrans_jll"]
git-tree-sha1 = "5be649d550f3f4b95308bf0183b82e2582876527"
uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc"
version = "1.6.9+4"

[[Xorg_libXau_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4e490d5c960c314f33885790ed410ff3a94ce67e"
uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec"
version = "1.0.9+4"

[[Xorg_libXcursor_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXfixes_jll", "Xorg_libXrender_jll"]
git-tree-sha1 = "12e0eb3bc634fa2080c1c37fccf56f7c22989afd"
uuid = "935fb764-8cf2-53bf-bb30-45bb1f8bf724"
version = "1.2.0+4"

[[Xorg_libXdmcp_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4fe47bd2247248125c428978740e18a681372dd4"
uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
version = "1.1.3+4"

[[Xorg_libXext_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "b7c0aa8c376b31e4852b360222848637f481f8c3"
uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3"
version = "1.3.4+4"

[[Xorg_libXfixes_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "0e0dc7431e7a0587559f9294aeec269471c991a4"
uuid = "d091e8ba-531a-589c-9de9-94069b037ed8"
version = "5.0.3+4"

[[Xorg_libXi_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXfixes_jll"]
git-tree-sha1 = "89b52bc2160aadc84d707093930ef0bffa641246"
uuid = "a51aa0fd-4e3c-5386-b890-e753decda492"
version = "1.7.10+4"

[[Xorg_libXinerama_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll"]
git-tree-sha1 = "26be8b1c342929259317d8b9f7b53bf2bb73b123"
uuid = "d1454406-59df-5ea1-beac-c340f2130bc3"
version = "1.1.4+4"

[[Xorg_libXrandr_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll"]
git-tree-sha1 = "34cea83cb726fb58f325887bf0612c6b3fb17631"
uuid = "ec84b674-ba8e-5d96-8ba1-2a689ba10484"
version = "1.5.2+4"

[[Xorg_libXrender_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "19560f30fd49f4d4efbe7002a1037f8c43d43b96"
uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa"
version = "0.9.10+4"

[[Xorg_libpthread_stubs_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "6783737e45d3c59a4a4c4091f5f88cdcf0908cbb"
uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74"
version = "0.1.0+3"

[[Xorg_libxcb_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"]
git-tree-sha1 = "daf17f441228e7a3833846cd048892861cff16d6"
uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
version = "1.13.0+3"

[[Xorg_libxkbfile_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "926af861744212db0eb001d9e40b5d16292080b2"
uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a"
version = "1.1.0+4"

[[Xorg_xcb_util_image_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "0fab0a40349ba1cba2c1da699243396ff8e94b97"
uuid = "12413925-8142-5f55-bb0e-6d7ca50bb09b"
version = "0.4.0+1"

[[Xorg_xcb_util_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll"]
git-tree-sha1 = "e7fd7b2881fa2eaa72717420894d3938177862d1"
uuid = "2def613f-5ad1-5310-b15b-b15d46f528f5"
version = "0.4.0+1"

[[Xorg_xcb_util_keysyms_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "d1151e2c45a544f32441a567d1690e701ec89b00"
uuid = "975044d2-76e6-5fbe-bf08-97ce7c6574c7"
version = "0.4.0+1"

[[Xorg_xcb_util_renderutil_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "dfd7a8f38d4613b6a575253b3174dd991ca6183e"
uuid = "0d47668e-0667-5a69-a72c-f761630bfb7e"
version = "0.3.9+1"

[[Xorg_xcb_util_wm_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "e78d10aab01a4a154142c5006ed44fd9e8e31b67"
uuid = "c22f9ab0-d5fe-5066-847c-f4bb1cd4e361"
version = "0.4.1+1"

[[Xorg_xkbcomp_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxkbfile_jll"]
git-tree-sha1 = "4bcbf660f6c2e714f87e960a171b119d06ee163b"
uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4"
version = "1.4.2+4"

[[Xorg_xkeyboard_config_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xkbcomp_jll"]
git-tree-sha1 = "5c8424f8a67c3f2209646d4425f3d415fee5931d"
uuid = "33bec58e-1273-512f-9401-5d533626f822"
version = "2.27.0+4"

[[Xorg_xtrans_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "79c31e7844f6ecf779705fbc12146eb190b7d845"
uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
version = "1.4.0+3"

[[Zlib_jll]]
deps = ["Libdl"]
uuid = "83775a58-1f1d-513f-b197-d71354ab007a"

[[Zstd_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "e45044cd873ded54b6a5bac0eb5c971392cf1927"
uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
version = "1.5.2+0"

[[ZygoteRules]]
deps = ["MacroTools"]
git-tree-sha1 = "8c1a8e4dfacb1fd631745552c8db35d0deb09ea0"
uuid = "700de1a5-db45-46bc-99cf-38207098b444"
version = "0.2.2"

[[libass_jll]]
deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "5982a94fcba20f02f42ace44b9894ee2b140fe47"
uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0"
version = "0.15.1+0"

[[libfdk_aac_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55"
uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
version = "2.0.2+0"

[[libpng_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c"
uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
version = "1.6.38+0"

[[libvorbis_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"]
git-tree-sha1 = "b910cb81ef3fe6e78bf6acee440bda86fd6ae00c"
uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
version = "1.3.7+1"

[[nghttp2_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"

[[p7zip_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"

[[x264_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2"
uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
version = "2021.5.5+0"

[[x265_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9"
uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
version = "3.5.0+0"

[[xkbcommon_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"]
git-tree-sha1 = "ece2350174195bb31de1a63bea3a41ae1aa593b6"
uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd"
version = "0.9.1+5"
"""

# ╔═╡ Cell order:
# ╠═ae47661e-95a2-11ec-119b-8194fe27f96e
# ╠═8dc3dee2-a7d2-4afd-94b1-63154910a54c
# ╠═4c8163a1-1206-47dc-bc58-1d642663a22e
# ╠═38284326-0524-43cd-8fbe-3d228aac9bf4
# ╠═7abe92c4-3081-429d-88b0-fd1d367fb3df
# ╠═8948ee55-fa92-4ac5-9836-ff2640a541db
# ╠═eb879e89-7277-4804-952b-19048874ced5
# ╠═3a803151-2291-4798-b1f4-15e6bd1189fb
# ╠═7cbfb55e-8984-4bee-9848-dcaacdfb1282
# ╠═bf29e446-1cd4-4c2d-8f1f-0b91f39aa450
# ╠═a0add249-405b-4f30-a667-c791d155d5ca
# ╠═c5f1d281-fc40-4fdb-ae25-664ff7c99332
# ╠═3449f76f-9dbe-4c07-898e-5b944174b374
# ╠═d977a512-3085-4a87-a95d-7d3041402e0a
# ╠═2288748b-9ae9-4032-a371-b2de8712cd88
# ╠═fc76af35-ac05-418a-993d-a382c41b036f
# ╠═2dacbdf4-dbf2-42c9-9529-007fff009c12
# ╠═1d360be7-43a1-4a75-8d09-e229917ff815
# ╠═923e8ca4-8f66-47b8-a2b1-b7b384416163
# ╠═b2c73bae-7a71-49b6-8ea0-3c57dd7843ae
# ╠═46e1c786-6abc-4f82-a1a8-04e0394aa005
# ╠═39dc3dae-105b-490c-a5af-b8cfdc059bc0
# ╠═7241b49c-b5d9-438a-950a-8ffcfa3d301b
# ╠═c17062e7-42dc-4b49-8b54-2a61adf6396b
# ╠═029632a7-e923-448b-86b9-21e5c9c6acd6
# ╠═afb2e5ef-3d4c-439a-8574-443a09eb850d
# ╠═fee857c0-cbb4-4a49-ab9e-59c58b92cb63
# ╠═a56ca084-6366-4148-b600-56f797d3927e
# ╠═57f154a5-d32c-47f0-9dec-a136b3fd44a7
# ╠═89f26e4b-f10e-47e2-a032-b3848ec618f2
# ╠═7bb4d1f9-bfa7-4aef-b88e-96cb6bef96ee
# ╠═07174e20-8292-441b-ae92-51800f641e64
# ╠═4b4cf4ee-27b8-4d25-a926-0c4e311c980f
# ╠═08e5fe39-a598-4f06-9c5c-aa8e7ac3c4b9
# ╠═89a7fbc5-ea56-4e8d-b50d-63456484dca0
# ╠═461b0327-1278-4c99-90f9-b8c1b6e1a5c6
# ╠═0246ae6c-974f-4e4e-a16f-6dce6a0cddfa
# ╠═838f4345-c865-4712-8d39-b52777ab986d
# ╠═44503a57-a47c-46dd-9882-c97c568b4bc7
# ╠═974540df-328a-4855-a954-028c19f1ea56
# ╟─00000000-0000-0000-0000-000000000001
# ╟─00000000-0000-0000-0000-000000000002


text:
using OrdinaryDiffEq
using Test, LinearAlgebra, Statistics

const LONGER_TESTS = false

const CACHE_TEST_ALGS = [Euler(),Midpoint(),RK4(),SSPRK22(),SSPRK33(),SSPRK53(),
  SSPRK63(),SSPRK73(),SSPRK83(),SSPRK432(),SSPRK932(),SSPRK54(),SSPRK104(),CarpenterKennedy2N54(),
  BS3(),BS5(),DP5(),DP5Threaded(),DP8(),Feagin10(),Feagin12(),Feagin14(),TanYam7(),
  Tsit5(),TsitPap8(),Vern6(),Vern7(),Vern8(),Vern9(),OwrenZen3(),OwrenZen4(),OwrenZen5()]

if haskey(ENV,"GROUP")
    group = ENV["GROUP"]
else
    group = "All"
end

is_APPVEYOR = ( Sys.iswindows() && haskey(ENV,"APPVEYOR") )

#Start Test Script

@time begin
if group == "All" || group == "Interface"
  @time include("discrete_algorithm_test.jl")
  @time include("ode/ode_tstops_tests.jl")
  @time include("ode/ode_backwards_test.jl")
  @time include("ode/ode_initdt_tests.jl")
  @time include("mass_matrix_tests.jl")
  @time include("differentiation_traits_tests.jl")
  @time include("ode/ode_saveat_tests.jl")
  @time include("ode/ode_saveidxs_tests.jl")
  @time include("static_array_tests.jl")
  @time include("data_array_test.jl")
  @time include("umodified_test.jl")
  @time include("composite_algorithm_test.jl")
  @time include("complex_tests.jl")
  @time include("stiffness_detection_test.jl")
  @time include("export_tests.jl")
  @time include("utility_tests.jl")
end

if group == "All" || group == "Integrators"
    @time @testset "Reinit Tests" begin include("reinit_test.jl") end
    @time @testset "Events Tests" begin include("ode/ode_event_tests.jl") end
    @time @testset "Cache Tests" begin include("ode/ode_cache_tests.jl") end
    @time @testset "Iterator Tests" begin include("iterator_tests.jl") end
    @time @testset "Integrator Interface Tests" begin include("integrator_interface_tests.jl") end
    @time @testset "Add Steps Tests" begin include("ode/ode_add_steps_tests.jl") end
    @time @testset "Error Check Tests" begin include("check_error.jl") end
end

if !is_APPVEYOR && ( group == "All" || group == "Regression" )
    @time @testset "Linear Tests" begin include("ode/ode_twodimlinear_tests.jl") end
    @time @testset "Dense Tests" begin include("ode/ode_dense_tests.jl") end
end

if !is_APPVEYOR && ( group == "All" || group == "AlgConvergence_I" )
    # ~ 250 s
    @time @testset "Partitioned Methods Tests" begin include("partitioned_methods_tests.jl") end
    # ~ 400 s
    @time @testset "Convergence Tests" begin include("ode/ode_convergence_tests.jl") end
    # ~ 2 s
    @time @testset "Adams Variable Coefficients Tests" begin include("ode/adams_tests.jl") end
    # ~ 50 s
    @time @testset "Nordsieck Tests" begin include("ode/nordsieck_tests.jl") end
    #@time @testset "Linear Methods Tests" begin include("linear_method_tests.jl") end
    # ~ 170 s
    @time @testset "SSPRK Tests" begin include("ode/ode_ssprk_tests.jl") end
    # ~ 25 s
    @time @testset "OwrenZen Tests" begin include("owrenzen_tests.jl") end
    @time @testset "Runge-Kutta-Chebyshev Tests" begin include("ode/rkc_tests.jl") end
end

if !is_APPVEYOR && ( group == "All" || group == "AlgConvergence_II" )
    # ~ 110 s
    @time @testset "Split Methods Tests" begin include("split_methods_tests.jl") end
    # ~ 550 s
    @time @testset "Rosenbrock Tests" begin include("ode/ode_rosenbrock_tests.jl") end
    # ~ 40 s
    @time @testset "Linear-Nonlinear Methods Tests" begin include("linear_nonlinear_convergence_tests.jl") end
    # ~ 140 s
    @time @testset "Linear-Nonlinear Krylov Methods Tests" begin include("linear_nonlinear_krylov_tests.jl") end
end
end # @time


text:
# This file was generated by the Julia Swagger Code Generator
# Do not modify this file directly. Modify the swagger specification instead.

mutable struct AutomaticOSUpgradeProperties <: SwaggerModel
    automaticOSUpgradeSupported::Any # spec type: Union{ Nothing, Bool } # spec name: automaticOSUpgradeSupported

    function AutomaticOSUpgradeProperties(;automaticOSUpgradeSupported=nothing)
        o = new()
        validate_property(AutomaticOSUpgradeProperties, Symbol("automaticOSUpgradeSupported"), automaticOSUpgradeSupported)
        setfield!(o, Symbol("automaticOSUpgradeSupported"), automaticOSUpgradeSupported)
        o
    end
end # type AutomaticOSUpgradeProperties

const _property_map_AutomaticOSUpgradeProperties = Dict{Symbol,Symbol}(Symbol("automaticOSUpgradeSupported")=>Symbol("automaticOSUpgradeSupported"))
const _property_types_AutomaticOSUpgradeProperties = Dict{Symbol,String}(Symbol("automaticOSUpgradeSupported")=>"Bool")
Base.propertynames(::Type{ AutomaticOSUpgradeProperties }) = collect(keys(_property_map_AutomaticOSUpgradeProperties))
Swagger.property_type(::Type{ AutomaticOSUpgradeProperties }, name::Symbol) = Union{Nothing,eval(Base.Meta.parse(_property_types_AutomaticOSUpgradeProperties[name]))}
Swagger.field_name(::Type{ AutomaticOSUpgradeProperties }, property_name::Symbol) =  _property_map_AutomaticOSUpgradeProperties[property_name]

function check_required(o::AutomaticOSUpgradeProperties)
    (getproperty(o, Symbol("automaticOSUpgradeSupported")) === nothing) && (return false)
    true
end

function validate_property(::Type{ AutomaticOSUpgradeProperties }, name::Symbol, val)
end