text:
### A Pluto.jl notebook ###
# v0.15.1

using Markdown
using InteractiveUtils

# This Pluto notebook uses @bind for interactivity. When running this notebook outside of Pluto, the following 'mock version' of @bind gives bound variables a default value (instead of an error).
macro bind(def, element)
    quote
        local el = $(esc(element))
        global $(esc(def)) = Core.applicable(Base.get, el) ? Base.get(el) : missing
        el
    end
end

# ╔═╡ 94ae1a84-d3fd-11eb-0f06-917f894c2973
begin
	using DataFrames
	using StatsPlots
	using Plots
	using LaTeXStrings
	using DifferentialEquations
	using PlutoUI
	using Distributions
	using Random
end

# ╔═╡ a9949aee-49bc-45bc-af4a-57197b1fcca6
md"""
# Data Generating Process for Twitter COVID-19 Symptom Epidemiological model
"""

# ╔═╡ f449b3bd-b830-4410-aa15-96a8895396ae
md"""
!!! tip "💡 CoDatMo"
    This is an ongoing project for **CO**VID **Da**ta **Mo**del a partnership from Columbia Univesity, University of Liverpool and Universidade Nove de Julho (UNINOVE).

	You can find more on [codatmo.github.io](https://codatmo.github.io).
"""

# ╔═╡ 8deb582c-9ce5-4038-8163-7058d72a7d8f
md"""
The dynamics of SIRTD are governed by a system of ordinary differential equations (ODE):

$$\begin{align}
    \frac{dS}{dt} &= -\beta  S \frac{I}{N} \\
    \frac{dI}{dt} &= \beta  S  \frac{I}{N} - \frac{1}{d_I}  I \\
    \frac{dR}{dt} &= \frac{1}{d_I} I \left( 1 - \omega \right) \\
    \frac{dT}{dt} &= \frac{1}{d_I} I \omega - \frac{1}{d_T} T \\
    \frac{dD}{dt} &= \frac{1}{d_T} T
\end{align}$$
"""

# ╔═╡ 4400f7a2-8819-4dee-aeb5-1e5634911ebb
md"""
where:

-  $S(t)$ is the number of people susceptible to becoming infected (no immunity);
-  $I(t)$ is the number of people currently infected (and infectious);
-  $T(t)$ is the number of terminally ill individuals who have been infected and will die;
-  $R(t)$ is the number of removed people (either dead or we assume they remain immune indefinitely);
-  $D(t)$ is the number of recovered people that unfortunately died;
-  $N = S(t) + I(t) + R(t) + T(t) + D(t)$ is the constant total number of individuals in the population;
-  $\beta$ is the constant rate of contacts between individuals per unit time that are sufficient to lead to transmission if one of the individuals is infectious and the other is susceptible;
-  $\omega$ is constant death rate of recovered individuals;
-  $d_I$ is the mean time for which individuals are infectious; and
-  $d_T$  is the mean time for which individuals are terminally-ill.

"""

# ╔═╡ 3248b45f-7dd2-489a-b4b6-187fe6bedb6d
"""
	SIRTD_sim(T::Int64, N::Int64, λₜ::Float64, C::Float64, dᵢ::Int64, dₜ::Int64, β::Float64, ω::Float64, i₀::Int64, seed::Int64)

Data Generating Process for a SIRTD model in which the infected individuals have a probability of tweeting about their simptoms

## Arguments:
- `T::Int64`: number of days to simulate.
- `N::Int64`: total population.
- `λₜ::Float64`: daily probability that an infected individual tweet about his/hers symptoms.
- `C::Float64`: daily contacts that each infected individual has with other susceptible.
- `dᵢ::Int64`: number of days that an infected individual stays infected.
- `dₜ::Int64`: number of days that a terminally-ill individual stays terminally-ill before deceasing.
- `β::Float64`: infection rate
- `ω::Float64`: fatality rate
- `i₀::Int64`: number of infected individuals at the beggining of simulation
- `seed`: random seed for reproducibility

## Value
Returns a `Matrix{Int64}` of size `T`×6 where the columns are:
1. Susceptible
2. Infected
3. Recovered
4. Terminally-Ill
5. Deceased
6. Tweets
"""
function SIRTD_sim(T::Int64, N::Int64, λₜ::Float64, C::Float64, dᵢ::Int64, dₜ::Int64, β::Float64, ω::Float64, i₀::Int64, seed::Int64)
	Random.seed!(seed)
	s = N - i₀
	i = i₀
	r = 0
	t = 0
	d = 0
	tweets = 0
	state = zeros(Int64, T, 6)
	state[1, :] = [s i r t d tweets]
	for time ∈ 2:T
		# Tweets from Infected
		tweets = 0
		tweets = rand(Binomial(i, λₜ))
		# Susceptible <-> Infected
		daily_i = round(β*C*i / N*s)
		s = s -= daily_i
		i += daily_i
		# Infected <-> Recovered <-> Terminally-Ill
		daily_r = rand(Binomial(i, 1/dᵢ))
		daily_t = rand(Binomial(daily_r, ω))
		i -= daily_r
		r += (daily_r - daily_t)
		t += daily_t
		# Terminally-Ill <-> Deceased
		daily_d = rand(Binomial(t, 1/dₜ))
		t -= daily_d
		d += daily_d
		# Insert all into Matrix
		state[time, :] = [s i r t d tweets]
	end
	return state
end;

# ╔═╡ d55cea2c-cb1f-4e17-aade-45da90e6951f
function SIRTD_ode!(du,u,p,t)
    (S,I,R,T,D) = u
    (C, dᵢ, dₜ, β, ω) = p
    N = S+I+R+T+D
    @inbounds begin
        du[1] = -β*C*I / N*S          # dS
        du[2] = β*C*I / N*S - 1/dᵢ*I  # dI
		du[3] = 1/dᵢ * I * (1-ω)      # dR
		du[4] = 1/dᵢ * I * ω - 1/dₜ*T # dT
        du[5] = 1/dₜ*T
    end
    nothing
end;

# ╔═╡ 4db55f8d-f84a-41db-ac18-17bfe93aafdb
md"""
N $(@bind N Slider(100:100:10_000, default=500, show_value=true))
T $(@bind T Slider(100:100:1_000, default=100, show_value=true))

β $(@bind β Slider(0.1:0.1:0.8, default=0.3, show_value=true))
ω $(@bind ω Slider(0.05:0.05:0.4, default=0.1, show_value=true))

λₜ $(@bind λₜ Slider(0.1:0.1:1.0, default=0.5, show_value=true))
dᵢ $(@bind dᵢ Slider(1:2:20, default=4, show_value=true))
dₜ $(@bind dₜ Slider(1:2:20, default=10, show_value=true))

i₀ $(@bind i₀ Slider(1:5:100, default=10, show_value=true))
C $(@bind C Slider(1.0:2.0:20.0, default=2.0, show_value=true))
"""

# ╔═╡ a036b478-2c7d-413d-af96-87fbb9bba70a
begin
	u0 = [N - i₀, i₀, 0, 0, 0] # S,I,R,T,D
	p = [C, dᵢ, dₜ, β, ω]
	tspan = (0, T);
	sim_data = SIRTD_sim(T, N, λₜ, float(C), dᵢ, dₜ, β, ω, i₀, 123)
	prob_ode = ODEProblem(SIRTD_ode!,u0,tspan,p)
	sol_ode = solve(prob_ode)
	println(nothing);
end

# ╔═╡ 9457171c-5393-42f4-8238-0e611090dc0f
begin
	plot(sol_ode, dpi=300, label=[L"S" L"I" L"R" L"T" L"D"], lw=3, la=0.7, palette=distinguishable_colors(5))
	plot!(sim_data, label=[L"S_{sim}" L"I_{sim}" L"R_{sim}" L"T_{sim}" L"D_{sim}" "tweets"], lw=3, ls=:dot, la=0.7, palette=distinguishable_colors(5))
	xlabel!(L"t")
	ylabel!("N")
end

# ╔═╡ 00000000-0000-0000-0000-000000000001
PLUTO_PROJECT_TOML_CONTENTS = """
[deps]
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# ╔═╡ 00000000-0000-0000-0000-000000000002
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[[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 = "cc4bf3fdde8b7e3e9fa0351bdeedba1cf3b7f6e6"
uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
version = "1.5.0+0"

[[ZygoteRules]]
deps = ["MacroTools"]
git-tree-sha1 = "9e7a1e8ca60b742e508a315c17eef5211e7fbfd7"
uuid = "700de1a5-db45-46bc-99cf-38207098b444"
version = "0.2.1"

[[libass_jll]]
deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "acc685bcf777b2202a904cdcb49ad34c2fa1880c"
uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0"
version = "0.14.0+4"

[[libfdk_aac_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "7a5780a0d9c6864184b3a2eeeb833a0c871f00ab"
uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
version = "0.1.6+4"

[[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 = "c45f4e40e7aafe9d086379e5578947ec8b95a8fb"
uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
version = "1.3.7+0"

[[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 = "d713c1ce4deac133e3334ee12f4adff07f81778f"
uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
version = "2020.7.14+2"

[[x265_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "487da2f8f2f0c8ee0e83f39d13037d6bbf0a45ab"
uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
version = "3.0.0+3"

[[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:
# ╟─a9949aee-49bc-45bc-af4a-57197b1fcca6
# ╠═94ae1a84-d3fd-11eb-0f06-917f894c2973
# ╟─f449b3bd-b830-4410-aa15-96a8895396ae
# ╟─8deb582c-9ce5-4038-8163-7058d72a7d8f
# ╟─4400f7a2-8819-4dee-aeb5-1e5634911ebb
# ╟─3248b45f-7dd2-489a-b4b6-187fe6bedb6d
# ╟─d55cea2c-cb1f-4e17-aade-45da90e6951f
# ╟─a036b478-2c7d-413d-af96-87fbb9bba70a
# ╟─4db55f8d-f84a-41db-ac18-17bfe93aafdb
# ╟─9457171c-5393-42f4-8238-0e611090dc0f
# ╟─00000000-0000-0000-0000-000000000001
# ╟─00000000-0000-0000-0000-000000000002

max_stars_repo_name: codatmo/Pluto-DGP

max_issues_repo_name: codatmo/Pluto-DGP

max_forks_repo_name: codatmo/Pluto-DGP


text:
##### Beginning of file

abstract type AbstractInterval end

struct NoBoundsInterval <: AbstractInterval
end

struct LowerAndUpperBoundInterval <: AbstractInterval
    left::String
    right::String
    function LowerAndUpperBoundInterval(
            left::String,
            right::String,
            )::LowerAndUpperBoundInterval
        correct_left = strip(left)
        correct_right = strip(right)
        result::LowerAndUpperBoundInterval = new(
            correct_left,
            correct_right,
            )
        return result
    end
end

struct LowerBoundOnlyInterval <: AbstractInterval
    left::String
    function LowerBoundOnlyInterval(
            left::String,
            )::LowerBoundOnlyInterval
        correct_left = strip(left)
        result::LowerBoundOnlyInterval = new(
            correct_left,
            )
        return result
    end
end

struct UpperBoundOnlyInterval <: AbstractInterval
    right::String
    function UpperBoundOnlyInterval(
            right::String,
            )::UpperBoundOnlyInterval
        correct_right = strip(right)
        result::UpperBoundOnlyInterval = new(
            correct_right,
            )
        return result
    end
end

function _construct_interval(x::String)::AbstractInterval
    if _is_no_bounds_interval(x)
        result = NoBoundsInterval()
    elseif _is_lower_bound_only_interval(x)
        loweronly_regexmatch::RegexMatch = match(
            _get_lower_bound_only_interval_regex(),
            x,
            )
        loweronly_left::String = strip(
            convert(String, loweronly_regexmatch[1])
            )
        result = LowerBoundOnlyInterval(loweronly_left)
    elseif _is_upper_bound_only_interval(x)
        upperonly_regexmatch::RegexMatch = match(
            _get_upper_bound_only_interval_regex(),
            x,
            )
        upperonly_right::String = strip(
            convert(String, upperonly_regexmatch[1])
            )
        result = UpperBoundOnlyInterval(upperonly_right)
    elseif _is_lower_and_upper_bound_interval(x)
        lowerandupper_regexmatch::RegexMatch = match(
            _get_lower_and_upper_bound_interval_regex(),
            x,
            )
        lowerandupper_left::String = strip(
            convert(String, lowerandupper_regexmatch[1])
            )
        lowerandupper_right::String = strip(
            convert(String, lowerandupper_regexmatch[2])
            )
        result = LowerAndUpperBoundInterval(
            lowerandupper_left,
            lowerandupper_right,
            )
    else
        error("argument is not a valid interval")
    end
    return result
end

function _is_interval(x::String)::Bool
    if _is_no_bounds_interval(x)
        return true
    elseif _is_lower_bound_only_interval(x)
        return true
    elseif _is_upper_bound_only_interval(x)
        return true
    elseif _is_lower_and_upper_bound_interval(x)
        return true
    else
        return false
    end
end

function _get_lower_and_upper_bound_interval_regex()::Regex
    lower_and_upper_bound_interval_regex::Regex =
        r"\[(\w\w*?)\,(\w\w*?)\)"
    return lower_and_upper_bound_interval_regex
end

function _get_lower_bound_only_interval_regex()::Regex
    lower_bound_only_interval_regex::Regex =
        r"\[(\w\w*?)\,\)"
    return lower_bound_only_interval_regex
end

function _get_upper_bound_only_interval_regex()::Regex
    upper_bound_only_interval_regex::Regex =
        r"\[\,(\w\w*?)\)"
    return upper_bound_only_interval_regex
end

function _get_no_bounds_interval_regex()::Regex
    no_bounds_interval_regex::Regex =
        r"\[\,\)"
    return no_bounds_interval_regex
end

function _is_no_bounds_interval(x::String)::Bool
    result::Bool = occursin(
        _get_no_bounds_interval_regex(),
        x,
        )
    return result
end

function _is_lower_and_upper_bound_interval(x::String)::Bool
    result::Bool = occursin(
        _get_lower_and_upper_bound_interval_regex(),
        x,
        )
    return result
end

function _is_lower_bound_only_interval(x::String)::Bool
    result::Bool = occursin(
        _get_lower_bound_only_interval_regex(),
        x,
        )
    return result
end

function _is_upper_bound_only_interval(x::String)::Bool
    result::Bool = occursin(
        _get_upper_bound_only_interval_regex(),
        x,
        )
    return result
end

function _interval_contains_x(
        interval::NoBoundsInterval,
        x::AbstractString,
        )::Bool
    result::Bool = true
    return result
end

function _interval_contains_x(
        interval::LowerAndUpperBoundInterval,
        x::AbstractString,
        )::Bool
    x_stripped::String = strip(convert(String, x))
    left::String = strip(interval.left)
    right::String = strip(interval.right)
    result::Bool = (left <= x_stripped) && (x_stripped < right)
    return result
end

function _interval_contains_x(
        interval::LowerBoundOnlyInterval,
        x::AbstractString,
        )::Bool
    x_stripped::String = strip(convert(String, x))
    left::String = strip(interval.left)
    result::Bool = left <= x_stripped
    return result
end

function _interval_contains_x(
        interval::UpperBoundOnlyInterval,
        x::AbstractString,
        )
    x_stripped::String = strip(convert(String, x))
    right::String = strip(interval.right)
    result::Bool = x_stripped < right
    return result
end

##### End of file

ext: jl


text:
"""
Atomic solution for an PODE.

### Fields

* `t`: time of current time step
* `t̅`: time of previous time step
* `q`: current solution of q
* `q̅`: previous solution of q
* `q̃`: compensated summation error of q
* `p`: current solution of p
* `p̅`: previous solution of p
* `p̃`: compensated summation error of p
* `v`: vector field of q
* `v̅`: vector field of q̅
* `f`: vector field of p
* `f̅`: vector field of p̅
"""
mutable struct AtomicSolutionPODE{DT,TT} <: AtomicSolution{DT,TT}
    t::TT
    t̅::TT

    q::Vector{DT}
    q̅::Vector{DT}
    q̃::Vector{DT}

    p::Vector{DT}
    p̅::Vector{DT}
    p̃::Vector{DT}

    v::Vector{DT}
    v̅::Vector{DT}
    f::Vector{DT}
    f̅::Vector{DT}

    function AtomicSolutionPODE{DT, TT}(nd) where {DT <: Number, TT <: Real}
        new(zero(TT), zero(TT), zeros(DT, nd), zeros(DT, nd), zeros(DT, nd),
                                zeros(DT, nd), zeros(DT, nd), zeros(DT, nd),
                                zeros(DT, nd), zeros(DT, nd), zeros(DT, nd), zeros(DT, nd))
    end
end

AtomicSolutionPODE(DT, TT, nd) = AtomicSolutionPODE{DT, TT}(nd)

function set_solution!(asol::AtomicSolutionPODE, sol)
    t, q, p = sol
    asol.t  = t
    asol.q .= q
    asol.p .= p
    asol.v .= 0
    asol.f .= 0
end

function get_solution(asol::AtomicSolutionPODE)
    (asol.t, asol.q, asol.p)
end

function CommonFunctions.reset!(asol::AtomicSolutionPODE, Δt)
    asol.t̅  = asol.t
    asol.q̅ .= asol.q
    asol.p̅ .= asol.p
    asol.v̅ .= asol.v
    asol.f̅ .= asol.f
    asol.t += Δt
end

function update!(asol::AtomicSolutionPODE{DT}, y::Vector{DT}, z::Vector{DT}) where {DT}
    for k in eachindex(y,z)
        update!(asol, y[k], z[k], k)
    end
end

function update!(asol::AtomicSolutionPODE{DT}, y::DT, z::DT, k::Int) where {DT}
    asol.q[k], asol.q̃[k] = compensated_summation(y, asol.q[k], asol.q̃[k])
    asol.p[k], asol.p̃[k] = compensated_summation(z, asol.p[k], asol.p̃[k])
end


text:
"""
    Template

Julia type for a template object.

# Fields

- `name`: name of the template.
- `description`: description of the template.

# Optional Fields

- `project`: configs for Julia project.
- `readme`: configs for README.
- `src`: configs for `src` directory.
- `git`: configs for `git` repository.
- `documenter`: configs for `documenter`.
- `license`: configs for license.
- `tests`: configs for project tests.
- `citation`: configs for project citations.
"""
@blueprint struct Template
    name::String
    description::String
    # we always have Project.toml
    project::JuliaProject = JuliaProject()
    readme::Maybe{Readme}
    src::Maybe{SrcDir}
    git::Maybe{GitRepo}
    documenter::Maybe{Documenter}
    license::Maybe{License}
    tests::Maybe{ProjectTest}
    citation::Maybe{Citation}
end

Base.show(io::IO, ::MIME"text/plain", x::Template) = GarishPrint.pprint_struct(IOContext(io, :include_defaults=>true), x)

function blueprints(t::Template)
    names = filter(!isequal(:name), fieldnames(Template))
    return map(names) do name
        getfield(t, name)
    end
end

function compile(t::Template, ctx::Context)
    nf = nfields(Template)
    for idx in 1:nf
        fieldname(Template, idx) === [:name, :description] && continue
        blueprint = getfield(t, idx)
        isnothing(blueprint) || compile(blueprint, ctx)
    end
    return
end

function create(t::Template, path::String;
        name::String=basename(path),
        uuid::Maybe{UUID}=nothing,
        authors::Vector{String}=String[],
        username::Maybe{String}=nothing,
        force::Bool=false,
    )
    if ispath(path) && force
        rm(path;force=true, recursive=true)
    end

    ispath(path) && error("$path already exists!")

    ctx = Context(;kwargs=(;path, name, username, authors, force), root=t)
    compile(t, ctx)
    return
end


text:
# This file is a part of Julia. License is MIT: http://julialang.org/license

#trunc
dt = Dates.Date(2012,12,21)
@test trunc(dt,Dates.Year) == Dates.Date(2012)
@test trunc(dt,Dates.Month) == Dates.Date(2012,12)
@test trunc(dt,Dates.Day) == Dates.Date(2012,12,21)
dt = Dates.DateTime(2012,12,21,16,30,20,200)
@test trunc(dt,Dates.Year) == Dates.DateTime(2012)
@test trunc(dt,Dates.Month) == Dates.DateTime(2012,12)
@test trunc(dt,Dates.Day) == Dates.DateTime(2012,12,21)
@test trunc(dt,Dates.Hour) == Dates.DateTime(2012,12,21,16)
@test trunc(dt,Dates.Minute) == Dates.DateTime(2012,12,21,16,30)
@test trunc(dt,Dates.Second) == Dates.DateTime(2012,12,21,16,30,20)
@test trunc(dt,Dates.Millisecond) == Dates.DateTime(2012,12,21,16,30,20,200)

# Date functions
Jan = Dates.DateTime(2013,1,1) #Tuesday
Feb = Dates.DateTime(2013,2,2) #Saturday
Mar = Dates.DateTime(2013,3,3) #Sunday
Apr = Dates.DateTime(2013,4,4) #Thursday
May = Dates.DateTime(2013,5,5) #Sunday
Jun = Dates.DateTime(2013,6,7) #Friday
Jul = Dates.DateTime(2013,7,7) #Sunday
Aug = Dates.DateTime(2013,8,8) #Thursday
Sep = Dates.DateTime(2013,9,9) #Monday
Oct = Dates.DateTime(2013,10,10) #Thursday
Nov = Dates.DateTime(2013,11,11) #Monday
Dec = Dates.DateTime(2013,12,11) #Wednesday

@test Dates.lastdayofmonth(Jan) == Dates.DateTime(2013,1,31)
@test Dates.lastdayofmonth(Feb) == Dates.DateTime(2013,2,28)
@test Dates.lastdayofmonth(Mar) == Dates.DateTime(2013,3,31)
@test Dates.lastdayofmonth(Apr) == Dates.DateTime(2013,4,30)
@test Dates.lastdayofmonth(May) == Dates.DateTime(2013,5,31)
@test Dates.lastdayofmonth(Jun) == Dates.DateTime(2013,6,30)
@test Dates.lastdayofmonth(Jul) == Dates.DateTime(2013,7,31)
@test Dates.lastdayofmonth(Aug) == Dates.DateTime(2013,8,31)
@test Dates.lastdayofmonth(Sep) == Dates.DateTime(2013,9,30)
@test Dates.lastdayofmonth(Oct) == Dates.DateTime(2013,10,31)
@test Dates.lastdayofmonth(Nov) == Dates.DateTime(2013,11,30)
@test Dates.lastdayofmonth(Dec) == Dates.DateTime(2013,12,31)

@test Dates.lastdayofmonth(Date(Jan)) == Dates.Date(2013,1,31)
@test Dates.lastdayofmonth(Date(Feb)) == Dates.Date(2013,2,28)
@test Dates.lastdayofmonth(Date(Mar)) == Dates.Date(2013,3,31)
@test Dates.lastdayofmonth(Date(Apr)) == Dates.Date(2013,4,30)
@test Dates.lastdayofmonth(Date(May)) == Dates.Date(2013,5,31)
@test Dates.lastdayofmonth(Date(Jun)) == Dates.Date(2013,6,30)
@test Dates.lastdayofmonth(Date(Jul)) == Dates.Date(2013,7,31)
@test Dates.lastdayofmonth(Date(Aug)) == Dates.Date(2013,8,31)
@test Dates.lastdayofmonth(Date(Sep)) == Dates.Date(2013,9,30)
@test Dates.lastdayofmonth(Date(Oct)) == Dates.Date(2013,10,31)
@test Dates.lastdayofmonth(Date(Nov)) == Dates.Date(2013,11,30)
@test Dates.lastdayofmonth(Date(Dec)) == Dates.Date(2013,12,31)

@test Dates.firstdayofmonth(Jan) == Dates.DateTime(2013,1,1)
@test Dates.firstdayofmonth(Feb) == Dates.DateTime(2013,2,1)
@test Dates.firstdayofmonth(Mar) == Dates.DateTime(2013,3,1)
@test Dates.firstdayofmonth(Apr) == Dates.DateTime(2013,4,1)
@test Dates.firstdayofmonth(May) == Dates.DateTime(2013,5,1)
@test Dates.firstdayofmonth(Jun) == Dates.DateTime(2013,6,1)
@test Dates.firstdayofmonth(Jul) == Dates.DateTime(2013,7,1)
@test Dates.firstdayofmonth(Aug) == Dates.DateTime(2013,8,1)
@test Dates.firstdayofmonth(Sep) == Dates.DateTime(2013,9,1)
@test Dates.firstdayofmonth(Oct) == Dates.DateTime(2013,10,1)
@test Dates.firstdayofmonth(Nov) == Dates.DateTime(2013,11,1)
@test Dates.firstdayofmonth(Dec) == Dates.DateTime(2013,12,1)

@test Dates.firstdayofmonth(Date(Jan)) == Dates.Date(2013,1,1)
@test Dates.firstdayofmonth(Date(Feb)) == Dates.Date(2013,2,1)
@test Dates.firstdayofmonth(Date(Mar)) == Dates.Date(2013,3,1)
@test Dates.firstdayofmonth(Date(Apr)) == Dates.Date(2013,4,1)
@test Dates.firstdayofmonth(Date(May)) == Dates.Date(2013,5,1)
@test Dates.firstdayofmonth(Date(Jun)) == Dates.Date(2013,6,1)
@test Dates.firstdayofmonth(Date(Jul)) == Dates.Date(2013,7,1)
@test Dates.firstdayofmonth(Date(Aug)) == Dates.Date(2013,8,1)
@test Dates.firstdayofmonth(Date(Sep)) == Dates.Date(2013,9,1)
@test Dates.firstdayofmonth(Date(Oct)) == Dates.Date(2013,10,1)
@test Dates.firstdayofmonth(Date(Nov)) == Dates.Date(2013,11,1)
@test Dates.firstdayofmonth(Date(Dec)) == Dates.Date(2013,12,1)

# Test first day of week; 2014-01-06 is a Monday = 1st day of week
a = Dates.Date(2014,1,6)
b = Dates.Date(2014,1,7)
c = Dates.Date(2014,1,8)
d = Dates.Date(2014,1,9)
e = Dates.Date(2014,1,10)
f = Dates.Date(2014,1,11)
g = Dates.Date(2014,1,12)
@test Dates.firstdayofweek(a) == a
@test Dates.firstdayofweek(b) == a
@test Dates.firstdayofweek(c) == a
@test Dates.firstdayofweek(d) == a
@test Dates.firstdayofweek(e) == a
@test Dates.firstdayofweek(f) == a
@test Dates.firstdayofweek(g) == a
# Test firstdayofweek over the course of the year
dt = a
for i = 0:364
    @test Dates.firstdayofweek(dt) == a + Dates.Week(div(i,7))
    dt += Dates.Day(1)
end
a = Dates.DateTime(2014,1,6)
b = Dates.DateTime(2014,1,7)
c = Dates.DateTime(2014,1,8)
d = Dates.DateTime(2014,1,9)
e = Dates.DateTime(2014,1,10)
f = Dates.DateTime(2014,1,11)
g = Dates.DateTime(2014,1,12)
@test Dates.firstdayofweek(a) == a
@test Dates.firstdayofweek(b) == a
@test Dates.firstdayofweek(c) == a
@test Dates.firstdayofweek(d) == a
@test Dates.firstdayofweek(e) == a
@test Dates.firstdayofweek(f) == a
@test Dates.firstdayofweek(g) == a
dt = a
for i = 0:364
    @test Dates.firstdayofweek(dt) == a + Dates.Week(div(i,7))
    dt += Dates.Day(1)
end
@test Dates.firstdayofweek(Dates.DateTime(2013,12,24)) == Dates.DateTime(2013,12,23)
# Test last day of week; Sunday = last day of week
# 2014-01-12 is a Sunday
a = Dates.Date(2014,1,6)
b = Dates.Date(2014,1,7)
c = Dates.Date(2014,1,8)
d = Dates.Date(2014,1,9)
e = Dates.Date(2014,1,10)
f = Dates.Date(2014,1,11)
g = Dates.Date(2014,1,12)
@test Dates.lastdayofweek(a) == g
@test Dates.lastdayofweek(b) == g
@test Dates.lastdayofweek(c) == g
@test Dates.lastdayofweek(d) == g
@test Dates.lastdayofweek(e) == g
@test Dates.lastdayofweek(f) == g
@test Dates.lastdayofweek(g) == g
dt = a
for i = 0:364
    @test Dates.lastdayofweek(dt) == g + Dates.Week(div(i,7))
    dt += Dates.Day(1)
end
a = Dates.DateTime(2014,1,6)
b = Dates.DateTime(2014,1,7)
c = Dates.DateTime(2014,1,8)
d = Dates.DateTime(2014,1,9)
e = Dates.DateTime(2014,1,10)
f = Dates.DateTime(2014,1,11)
g = Dates.DateTime(2014,1,12)
@test Dates.lastdayofweek(a) == g
@test Dates.lastdayofweek(b) == g
@test Dates.lastdayofweek(c) == g
@test Dates.lastdayofweek(d) == g
@test Dates.lastdayofweek(e) == g
@test Dates.lastdayofweek(f) == g
@test Dates.lastdayofweek(g) == g
dt = a
for i = 0:364
    @test Dates.lastdayofweek(dt) == g + Dates.Week(div(i,7))
    dt += Dates.Day(1)
end
@test Dates.lastdayofweek(Dates.DateTime(2013,12,24)) == Dates.DateTime(2013,12,29)

@test Dates.firstdayofquarter(Dates.Date(2014,2,2)) == Dates.Date(2014,1,1)
@test Dates.firstdayofquarter(Dates.Date(2014,5,2)) == Dates.Date(2014,4,1)
@test Dates.firstdayofquarter(Dates.Date(2014,8,2)) == Dates.Date(2014,7,1)
@test Dates.firstdayofquarter(Dates.Date(2014,12,2)) == Dates.Date(2014,10,1)

@test Dates.firstdayofquarter(Dates.DateTime(2014,2,2)) == Dates.DateTime(2014,1,1)
@test Dates.firstdayofquarter(Dates.DateTime(2014,5,2)) == Dates.DateTime(2014,4,1)
@test Dates.firstdayofquarter(Dates.DateTime(2014,8,2)) == Dates.DateTime(2014,7,1)
@test Dates.firstdayofquarter(Dates.DateTime(2014,12,2)) == Dates.DateTime(2014,10,1)

@test Dates.lastdayofquarter(Dates.Date(2014,2,2)) == Dates.Date(2014,3,31)
@test Dates.lastdayofquarter(Dates.Date(2014,5,2)) == Dates.Date(2014,6,30)
@test Dates.lastdayofquarter(Dates.Date(2014,8,2)) == Dates.Date(2014,9,30)
@test Dates.lastdayofquarter(Dates.Date(2014,12,2)) == Dates.Date(2014,12,31)

@test Dates.lastdayofquarter(Dates.DateTime(2014,2,2)) == Dates.DateTime(2014,3,31)
@test Dates.lastdayofquarter(Dates.DateTime(2014,5,2)) == Dates.DateTime(2014,6,30)
@test Dates.lastdayofquarter(Dates.DateTime(2014,8,2)) == Dates.DateTime(2014,9,30)
@test Dates.lastdayofquarter(Dates.DateTime(2014,12,2)) == Dates.DateTime(2014,12,31)

firstday = Dates.Date(2014,1,1)
lastday = Dates.Date(2014,12,31)
for i = 0:364
    dt = firstday + Dates.Day(i)

    @test Dates.firstdayofyear(dt) == firstday
    @test Dates.firstdayofyear(DateTime(dt)) == DateTime(firstday)

    @test Dates.lastdayofyear(dt) == lastday
    @test Dates.lastdayofyear(DateTime(dt)) == DateTime(lastday)
end

# Adjusters
# Adjuster Constructors
@test Dates.Date(Dates.ismonday,2014) == Dates.Date(2014,1,6)
@test Dates.Date(Dates.ismonday,2014,5) == Dates.Date(2014,5,5)

@test Dates.DateTime(Dates.ismonday,2014) == Dates.DateTime(2014,1,6)
@test Dates.DateTime(Dates.ismonday,2014,5) == Dates.DateTime(2014,5,5)
@test Dates.DateTime(x->Dates.hour(x)==12,2014,5,21) == Dates.DateTime(2014,5,21,12)
@test Dates.DateTime(x->Dates.minute(x)==30,2014,5,21,12) == Dates.DateTime(2014,5,21,12,30)
@test Dates.DateTime(x->Dates.second(x)==30,2014,5,21,12,30) == Dates.DateTime(2014,5,21,12,30,30)
@test Dates.DateTime(x->Dates.millisecond(x)==500,2014,5,21,12,30,30) == Dates.DateTime(2014,5,21,12,30,30,500)

# tonext, toprev, tofirst, tolast
dt = Dates.Date(2014,5,21)
@test Dates.tonext(dt,Dates.Wed) == Dates.Date(2014,5,28)
@test Dates.tonext(dt,Dates.Wed;same=true) == dt
@test Dates.tonext(dt,Dates.Thu) == Dates.Date(2014,5,22)
@test Dates.tonext(dt,Dates.Fri) == Dates.Date(2014,5,23)
@test Dates.tonext(dt,Dates.Sat) == Dates.Date(2014,5,24)
@test Dates.tonext(dt,Dates.Sun) == Dates.Date(2014,5,25)
@test Dates.tonext(dt,Dates.Mon) == Dates.Date(2014,5,26)
@test Dates.tonext(dt,Dates.Tue) == Dates.Date(2014,5,27)
# No dayofweek function for out of range values
@test_throws KeyError Dates.tonext(dt,8)

@test Dates.tonext(Dates.Date(0),Dates.Mon) == Dates.Date(0,1,3)

#test func, diff steps, negate, same
@test Dates.tonext(Dates.iswednesday,dt) == Dates.Date(2014,5,28)
@test Dates.tonext(Dates.iswednesday,dt;same=true) == dt
@test Dates.tonext(Dates.isthursday,dt) == Dates.Date(2014,5,22)
@test Dates.tonext(Dates.isfriday,dt) == Dates.Date(2014,5,23)
@test Dates.tonext(Dates.issaturday,dt) == Dates.Date(2014,5,24)
@test Dates.tonext(Dates.issunday,dt) == Dates.Date(2014,5,25)
@test Dates.tonext(Dates.ismonday,dt) == Dates.Date(2014,5,26)
@test Dates.tonext(Dates.istuesday,dt) == Dates.Date(2014,5,27)
@test Dates.tonext(Dates.ismonday,Dates.Date(0)) == Dates.Date(0,1,3)

@test Dates.tonext(x->!Dates.iswednesday(x),dt;negate=true) == Dates.Date(2014,5,28)
# Reach adjust limit
@test_throws ArgumentError Dates.tonext(Dates.iswednesday,dt;limit=6)

@test Dates.tonext(Dates.iswednesday,dt;step=Dates.Day(2)) == Dates.Date(2014,6,4)
@test Dates.tonext(Dates.iswednesday,dt;step=Dates.Day(3)) == Dates.Date(2014,6,11)
@test Dates.tonext(Dates.iswednesday,dt;step=Dates.Day(4)) == Dates.Date(2014,6,18)
@test Dates.tonext(Dates.iswednesday,dt;step=Dates.Day(5)) == Dates.Date(2014,6,25)
@test Dates.tonext(Dates.iswednesday,dt;step=Dates.Day(6)) == Dates.Date(2014,7,2)
@test Dates.tonext(Dates.iswednesday,dt;step=Dates.Day(7)) == Dates.Date(2014,5,28)
@test Dates.tonext(Dates.iswednesday,dt;step=Dates.Week(1)) == Dates.Date(2014,5,28)
@test Dates.tonext(Dates.iswednesday,dt;step=Dates.Week(2)) == Dates.Date(2014,6,4)
@test Dates.tonext(Dates.iswednesday,dt;step=Dates.Week(3)) == Dates.Date(2014,6,11)
@test Dates.tonext(Dates.iswednesday,dt;step=Dates.Week(4)) == Dates.Date(2014,6,18)
@test Dates.tonext(Dates.iswednesday,dt;step=Dates.Week(5)) == Dates.Date(2014,6,25)
@test Dates.tonext(Dates.iswednesday,dt;step=Dates.Week(6)) == Dates.Date(2014,7,2)

@test Dates.tonext(Dates.iswednesday,dt;same=true) == dt
@test Dates.tonext(Dates.isthursday,dt) == Dates.Date(2014,5,22)

#toprev
@test Dates.toprev(dt,Dates.Wed) == Dates.Date(2014,5,14)
@test Dates.toprev(dt,Dates.Wed;same=true) == dt
@test Dates.toprev(dt,Dates.Thu) == Dates.Date(2014,5,15)
@test Dates.toprev(dt,Dates.Fri) == Dates.Date(2014,5,16)
@test Dates.toprev(dt,Dates.Sat) == Dates.Date(2014,5,17)
@test Dates.toprev(dt,Dates.Sun) == Dates.Date(2014,5,18)
@test Dates.toprev(dt,Dates.Mon) == Dates.Date(2014,5,19)
@test Dates.toprev(dt,Dates.Tue) == Dates.Date(2014,5,20)
# No dayofweek function for out of range values
@test_throws KeyError Dates.toprev(dt,8)

@test Dates.toprev(Dates.Date(0),Dates.Mon) == Dates.Date(-1,12,27)

#tofirst
@test Dates.tofirst(dt,Dates.Mon) == Dates.Date(2014,5,5)
@test Dates.tofirst(dt,Dates.Tue) == Dates.Date(2014,5,6)
@test Dates.tofirst(dt,Dates.Wed) == Dates.Date(2014,5,7)
@test Dates.tofirst(dt,Dates.Thu) == Dates.Date(2014,5,1)
@test Dates.tofirst(dt,Dates.Fri) == Dates.Date(2014,5,2)
@test Dates.tofirst(dt,Dates.Sat) == Dates.Date(2014,5,3)
@test Dates.tofirst(dt,Dates.Sun) == Dates.Date(2014,5,4)

@test Dates.tofirst(dt,Dates.Mon,of=Dates.Year) == Dates.Date(2014,1,6)
@test Dates.tofirst(dt,Dates.Tue,of=Dates.Year) == Dates.Date(2014,1,7)
@test Dates.tofirst(dt,Dates.Wed,of=Dates.Year) == Dates.Date(2014,1,1)
@test Dates.tofirst(dt,Dates.Thu,of=Dates.Year) == Dates.Date(2014,1,2)
@test Dates.tofirst(dt,Dates.Fri,of=Dates.Year) == Dates.Date(2014,1,3)
@test Dates.tofirst(dt,Dates.Sat,of=Dates.Year) == Dates.Date(2014,1,4)
@test Dates.tofirst(dt,Dates.Sun,of=Dates.Year) == Dates.Date(2014,1,5)

@test Dates.tofirst(Dates.Date(0),Dates.Mon) == Dates.Date(0,1,3)

#tolast
@test Dates.tolast(dt,Dates.Mon) == Dates.Date(2014,5,26)
@test Dates.tolast(dt,Dates.Tue) == Dates.Date(2014,5,27)
@test Dates.tolast(dt,Dates.Wed) == Dates.Date(2014,5,28)
@test Dates.tolast(dt,Dates.Thu) == Dates.Date(2014,5,29)
@test Dates.tolast(dt,Dates.Fri) == Dates.Date(2014,5,30)
@test Dates.tolast(dt,Dates.Sat) == Dates.Date(2014,5,31)
@test Dates.tolast(dt,Dates.Sun) == Dates.Date(2014,5,25)

@test Dates.tolast(dt,Dates.Mon,of=Dates.Year) == Dates.Date(2014,12,29)
@test Dates.tolast(dt,Dates.Tue,of=Dates.Year) == Dates.Date(2014,12,30)
@test Dates.tolast(dt,Dates.Wed,of=Dates.Year) == Dates.Date(2014,12,31)
@test Dates.tolast(dt,Dates.Thu,of=Dates.Year) == Dates.Date(2014,12,25)
@test Dates.tolast(dt,Dates.Fri,of=Dates.Year) == Dates.Date(2014,12,26)
@test Dates.tolast(dt,Dates.Sat,of=Dates.Year) == Dates.Date(2014,12,27)
@test Dates.tolast(dt,Dates.Sun,of=Dates.Year) == Dates.Date(2014,12,28)

@test Dates.tolast(Dates.Date(0),Dates.Mon) == Dates.Date(0,1,31)

# filter (was recur)
startdate = Dates.Date(2014,1,1)
stopdate = Dates.Date(2014,2,1)
@test length(filter(x->true,startdate:stopdate)) == 32
@test length(filter(x->true,stopdate:Dates.Day(-1):startdate)) == 32

Januarymondays2014 = [Dates.Date(2014,1,6),Dates.Date(2014,1,13),Dates.Date(2014,1,20),Dates.Date(2014,1,27)]
@test filter(Dates.ismonday,startdate:stopdate) == Januarymondays2014

@test_throws MethodError filter((x,y)->x+y,Dates.Date(2013):Dates.Date(2014))
@test_throws MethodError Dates.DateFunction((x,y)->x+y, false, Date(0))
@test_throws ArgumentError Dates.DateFunction((dt)->2, false, Date(0))
@test length(filter(x->true,Dates.Date(2013):Dates.Date(2013,2))) == 32
@test length(filter(x->true,Dates.Date(2013):Dates.Date(2013,1,1))) == 1
@test length(filter(x->true,Dates.Date(2013):Dates.Date(2013,1,2))) == 2
@test length(filter(x->true,Dates.Date(2013):Dates.Date(2013,1,3))) == 3
@test length(filter(x->true,Dates.Date(2013):Dates.Date(2013,1,4))) == 4
@test length(filter(x->true,Dates.Date(2013):Dates.Date(2013,1,5))) == 5
@test length(filter(x->true,Dates.Date(2013):Dates.Date(2013,1,6))) == 6
@test length(filter(x->true,Dates.Date(2013):Dates.Date(2013,1,7))) == 7
@test length(filter(x->true,Dates.Date(2013):Dates.Date(2013,1,8))) == 8
@test length(filter(x->true,Dates.Date(2013):Dates.Month(1):Dates.Date(2013,1,1))) == 1
@test length(filter(x->true,Dates.Date(2013):Dates.Day(-1):Dates.Date(2012,1,1))) == 367
# Empty range
@test length(filter(x->true,Dates.Date(2013):Dates.Date(2012,1,1))) == 0

# All leap days in 20th century
@test length(filter(Dates.Date(1900):Dates.Date(2000)) do x
    Dates.month(x) == Dates.Feb && Dates.day(x) == 29
end) == 24

# Thanksgiving: 4th Thursday of November
thanksgiving = x->Dates.dayofweek(x) == Dates.Thu &&
                      Dates.month(x) == Dates.Nov &&
           Dates.dayofweekofmonth(x) == 4

d = Dates.Date(2014,6,5)

@test Dates.tonext(d) do x
    thanksgiving(x)
end == Dates.Date(2014,11,27)

@test Dates.toprev(d) do x
    thanksgiving(x)
end == Dates.Date(2013,11,28)

# Pittsburgh street cleaning
dr = Dates.Date(2014):Dates.Date(2015)
@test length(filter(dr) do x
    Dates.dayofweek(x) == Dates.Tue &&
    Dates.April < Dates.month(x) < Dates.Nov &&
    Dates.dayofweekofmonth(x) == 2
end) == 6

# U.S. Federal Holidays
newyears(y) = (y,1,1)
independenceday(y) = (y,7,4)
veteransday(y) = (y,11,11)
christmas(y) = (y,12,25)

isnewyears(dt) = Dates.yearmonthday(dt) == newyears(Dates.year(dt))
isindependenceday(dt) = Dates.yearmonthday(dt) == independenceday(Dates.year(dt))
isveteransday(dt) = Dates.yearmonthday(dt) == veteransday(Dates.year(dt))
ischristmas(dt) = Dates.yearmonthday(dt) == christmas(Dates.year(dt))
ismartinlutherking(dt) = Dates.dayofweek(dt) == Dates.Mon &&
    Dates.month(dt) == Dates.Jan && Dates.dayofweekofmonth(dt) == 3
ispresidentsday(dt) = Dates.dayofweek(dt) == Dates.Mon &&
    Dates.month(dt) == Dates.Feb && Dates.dayofweekofmonth(dt) == 3
# Last Monday of May
ismemorialday(dt) = Dates.dayofweek(dt) == Dates.Mon &&
                    Dates.month(dt) == Dates.May &&
                    Dates.dayofweekofmonth(dt) == Dates.daysofweekinmonth(dt)
islaborday(dt) = Dates.dayofweek(dt) == Dates.Mon &&
    Dates.month(dt) == Dates.Sep && Dates.dayofweekofmonth(dt) == 1
iscolumbusday(dt) = Dates.dayofweek(dt) == Dates.Mon &&
    Dates.month(dt) == Dates.Oct && Dates.dayofweekofmonth(dt) == 2
isthanksgiving(dt) = Dates.dayofweek(dt) == Dates.Thu &&
    Dates.month(dt) == Dates.Nov && Dates.dayofweekofmonth(dt) == 4

function easter(y)
    # Butcher's Algorithm: http://www.smart.net/~mmontes/butcher.html
    a=y%19
    b=div(y,100)
    c=y%100
    d=div(b,4)
    e=b%4
    f=div(b+8,25)
    g=div(b-f+1,3)
    h=(19*a+b-d-g+15)%30
    i=div(c,4)
    k=c%4
    l=(32+2*e+2*i-h-k)%7
    m=div(a+11*h+22*l,451)
    month=div(h+l-7*m+114,31)
    p=(h+l-7*m+114)%31
    return (y,month,p+1)
end
iseaster(dt) = Dates.yearmonthday(dt) == easter(Dates.year(dt))

const HOLIDAYS = x->isnewyears(x) || isindependenceday(x) ||
                    isveteransday(x) || ischristmas(x) ||
                    ismartinlutherking(x) || ispresidentsday(x) ||
                    ismemorialday(x) || islaborday(x) ||
                    iscolumbusday(x) || isthanksgiving(x)

@test length(filter(HOLIDAYS,dr)) == 11

const OBSERVEDHOLIDAYS = x->begin
    # If the holiday is on a weekday
    if HOLIDAYS(x) && Dates.dayofweek(x) < Dates.Saturday
        return true
    # Holiday is observed Monday if falls on Sunday
    elseif Dates.dayofweek(x) == 1 && HOLIDAYS(x-Dates.Day(1))
        return true
    # Holiday is observed Friday if falls on Saturday
    elseif Dates.dayofweek(x) == 5 && HOLIDAYS(x+Dates.Day(1))
        return true
    else
        return false
    end
end

observed = filter(OBSERVEDHOLIDAYS,Dates.Date(1999):Dates.Date(2000))
@test length(observed) == 11
@test observed[10] == Dates.Date(1999,12,24)
@test observed[11] == Dates.Date(1999,12,31)

# Get all business/working days of 2014
# Since we have already defined observed holidays,
# we just look at weekend days and negate the result
@test length(filter(Dates.Date(2014):Dates.Date(2015)) do x
    !(OBSERVEDHOLIDAYS(x) ||
    Dates.dayofweek(x) > 5)
end) == 251

# First day of the next month for each day of 2014
@test length([Dates.firstdayofmonth(i+Dates.Month(1))
    for i in Dates.Date(2014):Dates.Date(2014,12,31)]) == 365

# From those goofy email forwards claiming a "special, lucky month"
# that has 5 Fridays, 5 Saturdays, and 5 Sundays and that it only
# occurs every 823 years
@test length(filter(Date(2000):Dates.Month(1):Date(2016)) do dt
    sum = 0
    for i = 1:7
        sum += Dates.dayofweek(dt) > 4 ? Dates.daysofweekinmonth(dt) : 0
        dt += Dates.Day(1)
    end
    return sum == 15
end) == 15 # On average, there's one of those months every year

max_stars_repo_name: habemus-papadum/julia

max_issues_repo_name: habemus-papadum/julia

max_forks_repo_name: habemus-papadum/julia


text:
println("Loading Packges for BayesLM test...")
using BayesLM
using Base.Test
println("Starting Tests for BayesLM test...")

@testset "lm" begin
  srand(1);
  n = 100
  X = randn(n)
  b = [0,3]
  sig = .5
  y = [ones(n) X] * b + randn(n) * sig

  @time model = lm(y,X,B=10000);

  #= private tests
  using RCall
  @rput y X n b sig;
  R"summary(mod <- lm(y~X))"
  R"plot(X,y)"
  =#

  post_sum = summary(model,alpha=.05)
  println(post_sum)
  @test all(abs(b - post_sum.mean_beta) .< .2)
  @test abs(sig - post_sum.mean_sig) < .1
  @time CPO = cpo(model,y,[ones(n) X])

  #= visual tests
  @rput CPO
  R"plot(y,dnorm(y,cbind(1,X)%*%mod$coef,sig))"
  R"points(y,CPO,col='blue',cex=2)"

  # If I had CPO's from 2 different models, use this visual
  R"CPO2 <- dnorm(y,cbind(1,X)%*%b,sig) # this is not really a CPO, but will be used for demo";
  R"plot(y,CPO-CPO2,bty='n',fg='grey',
         main='CPO_M1 - CPO_M2',ylab='',xlab='Observed y')"
  R"abline(h=0,col='red')"

  # Note that since most of the points lie below 0,
  # M1 may be poorer than M2.
  =#
end

println()

@testset "glm" begin
  srand(1);
  N = 100
  b = [2,3,4,5.]
  X = [ones(N) randn(N,length(b)-1)]
  σ² = 2
  y = X*b + randn(N)*sqrt(σ²)

  function loglike(y::Vector{Float64}, mu::Vector{Float64}, θ::Hyper)
    -N/2 * log(2*pi*θ[:σ²]) - sum((y-mu).^2) / (2*θ[:σ²])
  end

  lp_θ(θ::Hyper) = (-2-1) * log(θ[:σ²]) - 1 / θ[:σ²]

  @time model = glm(y, X, eye(Float64,4)*.03, loglike,
                    Σ_θ=eye(Float64,1)*.1,
                    θ_bounds=[0. Inf],
                    θ_names=[:σ²],
                    θ_logprior=lp_θ);

  print(summary(model))
end

println()

@testset "glm logistic" begin
  using Distributions
  srand(1);
  N = 1000
  b = [.2, .4, .6, .8]
  J = length(b)
  X = [ones(N) randn(N,length(b)-1)]

  invlogit(xb::Float64) = 1 / (1 + exp(-xb))
  y = map(xb -> rand(Bernoulli(invlogit(xb)))*1.0, X*b)

  function loglike(y::Vector{Float64}, Xb::Vector{Float64}, θ::Hyper)
    const mu = invlogit.(Xb)
    sum([ logpdf(Bernoulli(mu[i]),y[i]) for i in 1:N ])
  end

  @time model = glm(y, X, eye(J)*1E-2, loglike, B=2000,burn=10000);
  println(summary(model))
  #=
  using RCall
  @rput y X
  println(R"glm(y~X-1,family='binomial')")
  =#
end


text:
include("lower.jl")
# get the dataset
df = biomodels(;curl_meta=true, verbose=false)

# biomd_odes = CSV.read("data/SBML_ODEs_biomd.csv", DataFrame) # fix for CI
# ids = biomd_odes.id
# fns = .*("data/biomd/", ids, ".xml")
# size = 0
# sizemap = map(fn->fn=>stat(fn).size, fns) # ~200 MB
# sort!(sizemap, by=x->last.(x), rev=true)

# biomd_dir = joinpath(datadir, "biomd/")
# biomd_fns = readdir(biomd_dir; join=true)

# (good, bad) = goodbad(f, first.(sizemap)[1:100])
# @test sum(length.([good, bad])) == 2226

println("BIOMD DATASET TESTING")
biomd_dir = joinpath(datadir, "biomd/")
@show biomd_dir
@test ispath(biomd_dir)
biomd_fns = readdir(biomd_dir; join=true)
fn = biomd_fns[1]
@test length(biomd_fns) == 981
@test readSBML(fn) isa SBML.Model
(good, bad) = goodbad(x->ODESystem(readSBML(x)), biomd_fns[1:100])
@info length(good), length(bad)
biomd_df = lower_fns(biomd_fns; write_fn="biomd_odes_lowered.csv")


text:
module TestJuliaSignature
using PatternDispatch.Nodes, PatternDispatch.Recode

@show julia_signature_of(@qpat (x,))
@show julia_signature_of(@qpat (x::Int,))
@show julia_signature_of(@qpat (x,y))
@show julia_signature_of(@qpat (x,y::Int))
@show julia_signature_of(@qpat (x::Number,y::AbstractString))
@show julia_signature_of(@qpat (x::Int,(y::Int,z::Real)))

end