text:
import Automa
begin
    #= In[12]:2 =#
    function tokenize(data)
        #= In[12]:3 =#
        begin
            #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:44 =#
            p::Int = 1
            #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:45 =#
            p_end::Int = 0
            #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:46 =#
            p_eof::Int = -1
            #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:47 =#
            ts::Int = 0
            #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:48 =#
            te::Int = 0
            #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:49 =#
            cs::Int = 1
        end
        #= In[12]:4 =#
        p_end = (p_eof = sizeof(data))
        #= In[12]:5 =#
        tokens = Tuple{Symbol, String}[]
        #= In[12]:7 =#
        emit(kind) = begin
                #= In[12]:7 =#
                push!(tokens, (kind, data[ts:te]))
            end
        #= In[12]:9 =#
        function num(name, l)
            #= In[12]:10 =#
            push!(tokens, (name, data[ts:(ts + l) - 1]))
            #= In[12]:11 =#
            str = data[ts + l:te - 1]
            #= In[12]:12 =#
            str = replace(str, r"\A\t" => "-")
            #= In[12]:13 =#
            str = replace(str, r"\A " => "+")
            #= In[12]:14 =#
            str = replace(str, r" " => "0")
            #= In[12]:15 =#
            str = replace(str, r"\t" => "1")
            #= In[12]:16 =#
            push!(tokens, (:num, string(parse(Int, str, base = 2))))
        end
        #= In[12]:19 =#
        function label(name, l)
            #= In[12]:20 =#
            push!(tokens, (name, data[ts:(ts + l) - 1]))
            #= In[12]:21 =#
            push!(tokens, (:label_name, data[ts + l:te - 1]))
        end
        #= In[12]:24 =#
        while p ≤ p_eof && cs > 0
            #= In[12]:25 =#
            begin
                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:78 =#
                var"##253" = (Automa.SizedMemory)(data)
                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:79 =#
                t = 0
                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:80 =#
                ts = 0
                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:81 =#
                while p ≤ p_end && cs > 0
                    #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:82 =#
                    var"##254" = (getindex)(var"##253", p + 0)
                    #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:83 =#
                    #= /home/arch/.julia/packages/Automa/fyalL/src/codegen.jl:186 =# @inbounds var"##256" = ([0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; 1 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19 0 18 16 25 22; 1 0 0 0 0 4 0 0 0 2 0 3 7 0 9 8 0 0 10 11 0 0 0 12 13 14 0 0 0 0 0 0 23; 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; 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                    #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:85 =#
                    if var"##256" == 1
                        ts = p
                    else
                        if var"##256" == 2
                            begin
                                t = 3
                                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                te = p
                            end
                        else
                            if var"##256" == 3
                                begin
                                    t = 6
                                    #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                    te = p
                                end
                            else
                                if var"##256" == 4
                                    begin
                                        t = 5
                                        #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                        te = p
                                    end
                                else
                                    if var"##256" == 5
                                        begin
                                            t = 4
                                            #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                            te = p
                                        end
                                    else
                                        if var"##256" == 6
                                            begin
                                                t = 2
                                                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                                te = p
                                            end
                                        else
                                            if var"##256" == 7
                                                begin
                                                    t = 1
                                                    #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                                    te = p
                                                end
                                            else
                                                if var"##256" == 8
                                                    begin
                                                        t = 20
                                                        #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                                        te = p
                                                    end
                                                else
                                                    if var"##256" == 9
                                                        begin
                                                            t = 19
                                                            #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                                            te = p
                                                        end
                                                    else
                                                        if var"##256" == 10
                                                            begin
                                                                t = 17
                                                                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                                                te = p
                                                            end
                                                        else
                                                            if var"##256" == 11
                                                                begin
                                                                    t = 18
                                                                    #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                                                    te = p
                                                                end
                                                            else
                                                                if var"##256" == 12
                                                                    begin
                                                                        t = 14
                                                                        #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                                                        te = p
                                                                    end
                                                                else
                                                                    if var"##256" == 13
                                                                        begin
                                                                            t = 15
                                                                            #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                                                            te = p
                                                                        end
                                                                    else
                                                                        if var"##256" == 14
                                                                            begin
                                                                                t = 16
                                                                                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                                                                te = p
                                                                            end
                                                                        else
                                                                            if var"##256" == 15
                                                                                begin
                                                                                t = 21
                                                                                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                                                                te = p
                                                                                end
                                                                            else
                                                                                if var"##256" == 16
                                                                                begin
                                                                                t = 22
                                                                                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                                                                te = p
                                                                                end
                                                                                else
                                                                                if var"##256" == 17
                                                                                begin
                                                                                t = 23
                                                                                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                                                                te = p
                                                                                end
                                                                                else
                                                                                if var"##256" == 18
                                                                                begin
                                                                                t = 24
                                                                                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                                                                te = p
                                                                                end
                                                                                else
                                                                                if var"##256" == 19
                                                                                begin
                                                                                t = 13
                                                                                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                                                                te = p
                                                                                end
                                                                                else
                                                                                if var"##256" == 20
                                                                                begin
                                                                                t = 12
                                                                                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                                                                te = p
                                                                                end
                                                                                else
                                                                                if var"##256" == 21
                                                                                begin
                                                                                t = 7
                                                                                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                                                                te = p
                                                                                end
                                                                                else
                                                                                if var"##256" == 22
                                                                                begin
                                                                                t = 8
                                                                                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                                                                te = p
                                                                                end
                                                                                else
                                                                                if var"##256" == 23
                                                                                begin
                                                                                t = 9
                                                                                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                                                                te = p
                                                                                end
                                                                                else
                                                                                if var"##256" == 24
                                                                                begin
                                                                                t = 10
                                                                                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                                                                te = p
                                                                                end
                                                                                else
                                                                                if var"##256" == 25
                                                                                begin
                                                                                t = 11
                                                                                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:65 =#
                                                                                te = p
                                                                                end
                                                                                else
                                                                                ()
                                                                                end
                                                                                end
                                                                                end
                                                                                end
                                                                                end
                                                                                end
                                                                                end
                                                                                end
                                                                                end
                                                                                end
                                                                            end
                                                                        end
                                                                    end
                                                                end
                                                            end
                                                        end
                                                    end
                                                end
                                            end
                                        end
                                    end
                                end
                            end
                        end
                    end
                    #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:86 =#
                    p += 1
                end
                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:88 =#
                if p > p_eof ≥ 0 && cs ∈ (x = Automa.StableSet{Int64}(); x.dict = Automa.StableDict(11 => nothing); x)
                    #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:89 =#
                    if cs == 11
                    else
                        ()
                    end
                    #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:90 =#
                    cs = 0
                elseif #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:91 =# cs < 0
                    #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:92 =#
                    p -= 1
                end
                #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:94 =#
                if t > 0 && (cs ≤ 0 || p > p_end ≥ 0)
                    #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:95 =#
                    if t == 24
                        emit(:num_in)
                    else
                        if t == 23
                            emit(:char_in)
                        else
                            if t == 22
                                emit(:num_out)
                            else
                                if t == 21
                                    emit(:char_out)
                                else
                                    if t == 20
                                        emit(:exit)
                                    else
                                        if t == 19
                                            emit(:return)
                                        else
                                            if t == 18
                                                label(:jump_nega, 3)
                                            else
                                                if t == 17
                                                    label(:jump_zero, 3)
                                                else
                                                    if t == 16
                                                        label(:jump, 3)
                                                    else
                                                        if t == 15
                                                            label(:call, 3)
                                                        else
                                                            if t == 14
                                                                label(:label, 3)
                                                            else
                                                                if t == 13
                                                                    emit(:heap_read)
                                                                else
                                                                    if t == 12
                                                                        emit(:heap_write)
                                                                    else
                                                                        if t == 11
                                                                            emit(:mod)
                                                                        else
                                                                            if t == 10
                                                                                emit(:div)
                                                                            else
                                                                                if t == 9
                                                                                emit(:mul)
                                                                                else
                                                                                if t == 8
                                                                                emit(:sub)
                                                                                else
                                                                                if t == 7
                                                                                emit(:add)
                                                                                else
                                                                                if t == 6
                                                                                num(:slide, 3)
                                                                                else
                                                                                if t == 5
                                                                                emit(:discard)
                                                                                else
                                                                                if t == 4
                                                                                emit(:swap)
                                                                                else
                                                                                if t == 3
                                                                                num(:copy, 3)
                                                                                else
                                                                                if t == 2
                                                                                emit(:dup)
                                                                                else
                                                                                if t == 1
                                                                                num(:push, 2)
                                                                                else
                                                                                ()
                                                                                end
                                                                                end
                                                                                end
                                                                                end
                                                                                end
                                                                                end
                                                                                end
                                                                                end
                                                                                end
                                                                            end
                                                                        end
                                                                    end
                                                                end
                                                            end
                                                        end
                                                    end
                                                end
                                            end
                                        end
                                    end
                                end
                            end
                        end
                    end
                    #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:96 =#
                    p = te + 1
                    #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:97 =#
                    if cs != 0
                        #= /home/arch/.julia/packages/Automa/fyalL/src/tokenizer.jl:98 =#
                        cs = 1
                    end
                end
            end
        end
        #= In[12]:27 =#
        if cs < 0
            #= In[12]:28 =#
            error("failed to tokenize")
        end
        #= In[12]:30 =#
        return tokens
    end
end

print(tokenize("   \t  \t   \n\t\n     \t\t \t  \t\n\t\n  \n\n\n"))
# (:push, "  ")
# (:num, "72")
# (:char_out, "\t\n  ")
# (:push, "  ")
# (:num, "105")
# (:char_out, "\t\n  ")
# (:exit, "\n\n\n")


text:
using OVERT

pend_mass, pend_len, grav_const, friction = 0.5, 0.5, 1., 0.

function single_pend_dynamics(x::Array{T, 1} where {T <: Real},
	                          u::Array{T, 1} where {T <: Real})
    dx1 = x[2]
    dx2 = grav_const/pend_len * sin(x[1]) + 1 / (pend_mass*pend_len^2) * (u[1] - friction * x[2])
    return [dx1, dx2]
end

single_pend_θ_doubledot = :($(grav_const/pend_len) * sin(x1) + $(1/(pend_mass*pend_len^2)) * u1 - $(friction/(pend_mass*pend_len^2)) * x2)

function single_pend_dynamics_overt(range_dict::Dict{Symbol, Array{T, 1}} where {T <: Real},
	                                N_OVERT::Int,
									t_idx::Union{Int, Nothing}=nothing)
	if isnothing(t_idx)
		v1 = single_pend_θ_doubledot
	else
    	v1 = "$(grav_const/pend_len) * sin(x1_$t_idx) + $(1/(pend_mass*pend_len^2)) * u1_$t_idx - $(friction/(pend_mass*pend_len^2)) * x2_$t_idx"
    	v1 = Meta.parse(v1)
	end
    v1_oA = overapprox(v1, range_dict; N=N_OVERT)
    return v1_oA, [v1_oA.output]
end

function single_pend_update_rule(input_vars::Array{Symbol, 1},
	                             control_vars::Array{Symbol, 1},
								 overt_output_vars::Array{Symbol, 1})
    ddth = overt_output_vars[1]
    integration_map = Dict(input_vars[1] => input_vars[2], input_vars[2] => ddth)
    return integration_map
end

single_pend_input_vars = [:x1, :x2]
single_pend_control_vars = [:u1]

SinglePendulum = OvertProblem(
	single_pend_dynamics,
	single_pend_dynamics_overt,
	single_pend_update_rule,
	single_pend_input_vars,
	single_pend_control_vars
)

ext: jl


text:
module ContractionOrder

export ContractionTree

struct ContractionTree
    left
    right
end

function log2sumexp2(s)
    ms = maximum(s)
    return log2(sum(x->exp2(x - ms), s)) + ms
end

include("incidencelist.jl")
include("greedy.jl")

end

using .ContractionOrder: IncidenceList, ContractionTree, contract_pair!, MinSpaceOut, tree_greedy, timespace_complexity
using OMEinsum: NestedEinsum
export parse_eincode, ContractionOrder, optimizecode_greedy

function parse_eincode!(incidence_list::IncidenceList, tree, vertices_order)
    ti = findfirst(==(tree), vertices_order)
    ti, ti
end

function parse_eincode!(incidence_list::IncidenceList, tree::ContractionTree, vertices_order)
    ti, codei = parse_eincode!(incidence_list, tree.left, vertices_order)
    tj, codej = parse_eincode!(incidence_list, tree.right, vertices_order)
    dummy = Dict([e=>0 for e in keys(incidence_list.e2v)])
    tc, sc, code = contract_pair!(incidence_list, vertices_order[ti], vertices_order[tj], dummy)
    ti, NestedEinsum((codei, codej), EinCode(Tuple.(code.first), Tuple(code.second)))
end

function parse_eincode(incidence_list::IncidenceList{VT,ET}, tree::ContractionTree; vertices = collect(keys(incidence_list.v2e))) where {VT,ET}
    parse_eincode!(copy(incidence_list), tree, vertices)[2]
end

function parse_tree(ein, vertices)
    if ein isa NestedEinsum
        if length(ein.args) != 2
            error("This eincode is not a binary tree.")
        end
        left, right = parse_tree.(ein.args, Ref(vertices))
        ContractionTree(left, right)
    else
        vertices[ein]
    end
end

function optimizecode_greedy(code::EinCode{ixs, iy}, size_dict; method=MinSpaceOut()) where {ixs, iy}
    if length(ixs) < 2
        return code
    end
    T = promote_type(eltype.(ixs)...)
    log2_edge_sizes = empty(size_dict)
    for (k, v) in size_dict
        log2_edge_sizes[k] = log2(v)
    end
    incidence_list = ContractionOrder.IncidenceList(Dict([i=>collect(T,ixs[i]) for i=1:length(ixs)]); openedges=collect(T,iy))
    tree, tc, sc = tree_greedy(incidence_list, log2_edge_sizes; method=method)
    parse_eincode!(incidence_list, tree, 1:length(ixs))[2]
end

optimizecode_greedy(code::Int, size_dict; method=MinSpaceOut()) = code

function optimizecode_greedy(code::NestedEinsum, size_dict; method=MinSpaceOut())
    args = optimizecode_greedy.(code.args, Ref(size_dict); method=method)
    if length(code.args > 2)
        # generate coarse grained hypergraph.
        #hyper_incidence_list = code.eins  # TODO
        #tree_greedy(hyper_incidence_list, log2_edge_sizes; method=method)
        nested = optimizecode_greedy(code.eins, size_dict; method=method)
        replace_args(nested, args)
    else
        NestedEinsum(args, code.eins)
    end
end

function replace_args(nested::NestedEinsum, trueargs)
    NestedEinsum(replace_args.(nested.args, Ref(trueargs)), nested.eins)
end
replace_args(nested::Int, trueargs) = args[nested]

ContractionOrder.timespace_complexity(ei::Int, log2_edge_sizes) = -Inf, -Inf
function ContractionOrder.timespace_complexity(ei::NestedEinsum, log2_edge_sizes)
    tcscs = timespace_complexity.(ei.args, Ref(log2_edge_sizes))
    tc2, sc2 = timespace_complexity(ei.eins, log2_edge_sizes)
    tc = ContractionOrder.log2sumexp2([getindex.(tcscs, 1)..., tc2])
    sc = max(reduce(max, getindex.(tcscs, 2)), sc2)
    return tc, sc
end

function ContractionOrder.timespace_complexity(ei::EinCode{ixs, iy}, log2_edge_sizes) where {ixs, iy}
    # remove redundant legs
    labels = vcat(collect.(ixs)..., collect(iy))
    loop_inds = unique!(filter(l->count(==(l), labels)>=2, labels))

    tc = isempty(loop_inds) ? -Inf : sum(l->log2_edge_sizes[l], loop_inds)
    sc = isempty(iy) ? 0.0 : sum(l->log2_edge_sizes[l], iy)
    return tc, sc
end


text:
export crossprediction

###########################################################################################
#                                  Cross Prediction                                       #
###########################################################################################

"""
    crossprediction(source_train, target_train, source_pred,
                    em::AbstractSpatialEmbedding; kwargs...)
Perform a spatio-temporal timeseries cross-prediction for `target` from
`source`, using local weighted modeling [1]. This can be used for example
when there are coupled spatial fields and one is used to predict the other.
It is assumed that `source_train`, `target_train`, `source_pred` are all of
the same type, `AbstractVector{<:AbstractArray{T, Φ}}`.

The spatio temporal delay embedding process is defined by `em`.
See [`AbstractSpatialEmbedding`](@ref) for available methods and interfaces.

## Keyword Arguments
* `ttype = KDTree` : Type/Constructor of tree structure. So far only tested with `KDTree`.
* `method = AverageLocalModel(ω_safe)` : Subtype of [`AbstractLocalModel`](@ref).
* `ntype = FixedMassNeighborhood(3)` : Subtype of `AbstractNeighborhood`.
* `progress = true` : To print progress done.

## Description
The reconstructed state of `source_train[t][i,j,...]` is associated with the output
value `target_train[t][i,j,...]`. This establishes a "connection"
between `target` and `source`.
Taking a reconstructed state of `source_pred` as query point,
the function finds its neighbors in the reconstructed space of `source_train` using
neighborhood `ntype`. Then, the neighbor *indices* are used
to make a prediction for the corresponding value of the `target`, using the
established "connection" between fields.

## Additional Interfaces
To save computation time in the case of repeated predictions with the same training set
and embedding parameters we provide an additional interface that allows the user to
provide an existing reconstruction and tree structure.
```julia
R = reconstruct(train_in, em)
tree = ttype(R)
params = PredictionParams(em, method, ntype, ttype)
sol = crossprediction(params, train_out, pred_in, R, tree; progress=true)
```
where `params` is an internal container with all relevant parameters.

## Performance Notes
Be careful when choosing embedding parameters as memory usage and computation time
depend strongly on the resulting embedding dimension.
## References
[1] : U. Parlitz & C. Merkwirth, [Phys. Rev. Lett. **84**, pp 1890 (2000)](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.84.1890)
"""
function crossprediction(train_in ::AbstractVector{<:AbstractArray{T, Φ}},
                        train_out::AbstractVector{<:AbstractArray{T, Φ}},
                        pred_in  ::AbstractVector{<:AbstractArray{T, Φ}},
                        em::AbstractSpatialEmbedding{Φ};
                        ttype = KDTree,
                        method::AbstractLocalModel  = AverageLocalModel(ω_safe),
                        ntype::AbstractNeighborhood = FixedMassNeighborhood(3),
                        progress=true
                        ) where {T, Φ}
    params = PredictionParameters(em, method, ntype, ttype)
    crossprediction(params, train_in, train_out, pred_in; progress=progress)
end

function crossprediction(params, train_in, train_out, pred_in; progress=true)
    progress && println("Reconstructing")
    R = reconstruct(train_in,params.em)

    progress && println("Creating Tree")
    tree = params.treetype(R)

    crossprediction(params, train_out,pred_in, R, tree; progress=progress)
end

function crossprediction(params, train_out,pred_in, R, tree; progress=true)
    em = params.em
    @assert outdim(em) == size(R,2)
    num_pt = get_num_pt(em)
    #New state that will be predicted, allocate once and reuse
    state = similar(train_out[1])

    queries = reconstruct(pred_in, em)
    pred_out = eltype(train_out)[]

    for n=1:length(pred_in)-get_τmax(em)
        progress && println("Working on Frame $(n)/$(length(pred_in)-get_τmax(em))")
        #Iterate over queries/ spatial points
        for m=1:num_pt
            q = queries[m+(n-1)*num_pt]

            #Find neighbors
            idxs,dists = neighborhood_and_distances(q,R,tree,params.ntype)

            xnn = R[idxs]
            #Retrieve ynn
            ynn = map(idxs) do idx
                #Indices idxs are indices of R. Convert to indices of s
                t,α = convert_idx(idx,em)
                train_out[t][α]
            end
            state[m] = params.method(q,xnn,ynn,dists)[1]
            #won't work for lin loc model, needs Vector{SVector}
        end
        push!(pred_out,copy(state))
    end
    return pred_out
end


text:
using Documenter
import LoggingExtras, LokiLogger, ProgressLogging, TerminalLoggers,
       SyslogLogging, LogRoller, LogCompose, Logging, Logging2

# Build the docs
makedocs(
    sitename = "JuliaLogging",
    pages = [
        "Home" => "index.md",
        "How-to guides" => [
            "how-to/enable-debug.md",
            "how-to/log-to-file.md",
        ],
        "Reference" => [
            "logging.md",
            "loggingextras.md",
            "terminalloggers.md",
            "progresslogging.md",
            "lokilogger.md",
            "logroller.md",
            "logcompose.md",
            "sysloglogging.md",
            "logging2.md",
        ],
    ],
    format = Documenter.HTML(
        assets = ["assets/julialogging.css"],
    ),
)

deploydocs(
    versions = nothing,
    push_preview = true,
    repo = "github.com/JuliaLogging/julialogging.github.io.git",
)


text:
# Vanja + Aditi CBCL

using Resonance
omni, etoh, tps, complete_brain, metabolites, species = startup()
genes = Resonance.read_gfs_arrow()

aditi_sids = readlines("data/aditi_samples.txt")

CSV.write(joinpath(ENV["SCRATCH_SPACE"], "aditi_taxa.csv"), species[:, aditi_sids])
CSV.write(joinpath(ENV["SCRATCH_SPACE"], "aditi_genefamilies.csv"), genes[:, aditi_sids])

## Korean group, blood pressure

using Resonance

fecalsamples = CSV.read("data/wrangled/samples.csv", DataFrame)
@rsubset! fecalsamples :Fecal_EtOH == "F"

timepoints = CSV.read("data/wrangled/timepoints.csv", DataFrame)

function mapbp(label)
    bp = Dict(
        "E2a" => "Systolic",
        "E2b" => "Diastolic",
        "E2c" => "Heart rate"
    )
    for pair in pairs(bp)
        bp = replace(label, pair)
    end

    # bp = replace(bp)
end

@assert size(subset(timepoints, "ChildAnthropometryOverTwo::E2a1"=> ByRow(!ismissing), "ChildAnthropometryUnderTwo::E2a1" => ByRow(!ismissing)), 1) == 0

timepoints.Systolic_1 = map(eachrow(timepoints)) do row
    coalesce(row."ChildAnthropometryOverTwo::E2a1", row."ChildAnthropometryUnderTwo::E2a1")
end
timepoints.Systolic_2 = map(eachrow(timepoints)) do row
    coalesce(row."ChildAnthropometryOverTwo::E2a2", row."ChildAnthropometryUnderTwo::E2a2")
end
timepoints.Systolic_3 = map(eachrow(timepoints)) do row
    coalesce(row."ChildAnthropometryOverTwo::E2a3", row."ChildAnthropometryUnderTwo::E2a3")
end
timepoints.Diastolic_1 = map(eachrow(timepoints)) do row
    coalesce(row."ChildAnthropometryOverTwo::E2b1", row."ChildAnthropometryUnderTwo::E2b1")
end
timepoints.Diastolic_2 = map(eachrow(timepoints)) do row
    coalesce(row."ChildAnthropometryOverTwo::E2b2", row."ChildAnthropometryUnderTwo::E2b2")
end
timepoints.Diastolic_3 = map(eachrow(timepoints)) do row
    coalesce(row."ChildAnthropometryOverTwo::E2b3", row."ChildAnthropometryUnderTwo::E2b3")
end
timepoints.HeartRate_1 = map(eachrow(timepoints)) do row
    coalesce(row."ChildAnthropometryOverTwo::E2c1", row."ChildAnthropometryUnderTwo::E2c1")
end
timepoints.HeartRate_2 = map(eachrow(timepoints)) do row
    coalesce(row."ChildAnthropometryOverTwo::E2c2", row."ChildAnthropometryUnderTwo::E2c2")
end
timepoints.HeartRate_3 = map(eachrow(timepoints)) do row
    coalesce(row."ChildAnthropometryOverTwo::E2c3", row."ChildAnthropometryUnderTwo::E2c3")
end

df = select(timepoints, ["subject", "timepoint",  "childGender", "ageMonths", "Systolic_1", "Systolic_2", "Systolic_3", "Diastolic_1", "Diastolic_2", "Diastolic_3", "HeartRate_1", "HeartRate_2", "HeartRate_3"])
df = leftjoin(df, select(fecalsamples,
                    ["subject", "timepoint", "sample", "sid_old", "Mgx_batch"]
              ),
              on=["subject", "timepoint"])

count(groupby(df, :subject)) do grp
    !any(row-> (!ismissing(row.sample) && !ismissing(row.ageMonths) && (6 < row.ageMonths < 18)), eachrow(grp)) && return false
    any(row-> (!ismissing(row.Systolic_1) && !ismissing(row.ageMonths) && (36 < row.ageMonths < 84)), eachrow(grp))
end

count(groupby(df, :subject)) do grp
    !any(row-> (!ismissing(row.sample) && !ismissing(row.ageMonths) && (6 < row.ageMonths < 18)), eachrow(grp)) && return false
    any(row-> !ismissing(row.Systolic_1), eachrow(grp))
end

count(groupby(df, :subject)) do grp
    !any(row-> !ismissing(row.sample), eachrow(grp)) && return false
    any(row-> !ismissing(row.Systolic_1), eachrow(grp))
end

count(groupby(df, :subject)) do grp
    !any(row-> (!ismissing(row.sample) && !ismissing(row.ageMonths) && row.ageMonths < 24), eachrow(grp)) && return false
    any(row-> !ismissing(row.Systolic_1), eachrow(grp))
end

CSV.write("/home/kevin/Desktop/RESONANCE_bp.csv", sort(df, ["subject", "timepoint"]))

## Kirsty + 3rd quarter

using Resonance
omni, etoh, tps, complete_brain, metabolites, species = startup()

mo3 = @subset tps begin
    .!ismissing.(:ageMonths)
    2 .< :ageMonths .< 5
end

@rsubset! omni :sample in samplenames(species)
unique!(omni, [:subject, :timepoint])
mo3 = leftjoin(mo3, select(omni, [:subject, :timepoint, :sample]), on=[:subject, :timepoint])
@rsubset! mo3 !ismissing(:sample)
mo3spec = species[:, in.(samplenames(species), Ref(mo3.sample))]

set!(mo3spec, mo3)

#-

ginisimpson!(mo3spec)
prev = prevalence(mo3spec) |> vec
count(prev .> 0.56)
#-

using CairoMakie
using AlgebraOfGraphics

#-

fig = Figure(; resolution = (1100, 850))
ax1 = Axis(fig[1,1]; title="Species prevalence", xlabel="prevalence", ylabel="number of taxa")
prevhist = hist!(ax1, prev)

ax2 = Axis(fig[2,1]; title="Age and diversity", xlabel="Age (months)", ylabel="Gini-Simpson Diversity")
scatter!(ax2, get(mo3spec, :ageMonths), get(mo3spec, :ginisimpson))

topprev = featurenames(mo3spec)[prev .> 0.55]

lcol = GridLayout()
fig.layout[1:2, 2] = lcol

df = vcat(collect(
            DataFrame("abundance" => vec(abundances(mo3spec[Regex(topprev[i]), :])),
                      "ageMonths" => get(mo3spec, :ageMonths),
                      "species"   => fill(topprev[i], nsamples(mo3spec))
                      ) for i in eachindex(topprev)
            )...
)

pl = data(df) * mapping(:ageMonths=> "Age (months)", :abundance=> "Relative abundance"; layout=:species)
draw!(lcol, pl; facet = (; linkyaxes = :none))

supertitle = Label(fig[0, 2], "Most prevalent taxa", textsize = 20)
# Legend(lcol[2,1], [sp1, sp2, sp3], topprev; tellheight=true, tellwidth=false, )

colsize!(fig.layout, 2, Relative(2/3))

fig

#-

mo3pcoa = pcoa(mo3spec)

#-

fig = Figure()

ax1 = Axis(fig[1,1], xlabel="MDS1 ($(round(varexplained(mo3pcoa)[1] * 100, digits=2))%)",
                     ylabel="MDS2 ($(round(varexplained(mo3pcoa)[2] * 100, digits=2))%)")

sc = scatter!(ax1, Resonance.loadings(mo3pcoa)[:,1], Resonance.loadings(mo3pcoa)[:,2],
        color=get(mo3spec, :ginisimpson)
)

ax2 = Axis(fig[1,2], xlabel="Age (months)",
ylabel="MDS1 ($(round(varexplained(mo3pcoa)[1] * 100, digits=2))%)")

sc2 = scatter!(ax2, get(mo3spec, :ageMonths), Resonance.loadings(mo3pcoa)[:,1],
    color=get(mo3spec, :ginisimpson)
)

Colorbar(fig[2,1:2], sc; label="Gini-Simpson diversity", vertical = false, flipaxis=false)

fig

#-

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text:
### A Pluto.jl notebook ###
# v0.11.14

using Markdown
using InteractiveUtils

# ╔═╡ 545bb79c-fbf0-11ea-3455-67441d62f5fe
using Flux

# ╔═╡ 741102a8-fc05-11ea-2352-0bd39f49fcd3
using Statistics

# ╔═╡ 11f5a760-fbf4-11ea-286d-c9f6f30f83ed
using Plots

# ╔═╡ c4878102-fbf0-11ea-298e-eb205469990c
images = Flux.Data.FashionMNIST.images()

# ╔═╡ 01be0a34-fbf1-11ea-0beb-0521a2d634c4
labels = Flux.Data.FashionMNIST.labels()

# ╔═╡ 459673f4-fbf1-11ea-114a-53b01f61a81b
size(images[1])

# ╔═╡ 78f37170-fbf1-11ea-3dab-07eed2cba687
function get_fashion_label(labels)
	text_label = ["t-shirt", "trouser", "pullover", "dress", "coat", "sandal", "shirt", "sneaker", "bag", "ankle boot"]
	return [text_label[i+1] for i in labels]
end

# ╔═╡ 05baaefc-fbf2-11ea-0a8b-29a1748f44d3
get_fashion_label(labels)

# ╔═╡ a5e15114-fbf3-11ea-1660-d3aaa45ff6c4
images[1]

# ╔═╡ 3e7e073c-fbf4-11ea-03b7-e723e9d36fe6
plot(images[1], title="short")

# ╔═╡ 93b8a5d6-fbf4-11ea-265e-5d6c49cc4242
m = Chain(Dense(784,10), softmax)

# ╔═╡ e007cc00-fbf4-11ea-32d8-f11128553f4f
size(images)

# ╔═╡ ce10f3f2-fc01-11ea-0c30-3945431c0fb2
Float64.(reshape(images[1],(784,1)))

# ╔═╡ 5d11b170-fc04-11ea-1c67-e7df917005f9
train_x = rand(784, 1000)

# ╔═╡ 76a58fd0-fc04-11ea-3ef0-5b61e18dac67
begin
	for i in 1:1000
		train_x[:,i] = Float64.(reshape(images[i],(784,1)))
	end
end

# ╔═╡ 8c989422-fc04-11ea-0a3c-d5ec2e7bc9dd
train_x

# ╔═╡ 9498eb48-fc01-11ea-24f5-c130e859c64f
get_fashion_label(labels)[1]

# ╔═╡ aff167a8-fc01-11ea-3e6c-5323f94be667
begin

	train_y = []
	for i in 1:1000

		push!(train_y, get_fashion_label(labels)[i])
	end
end

# ╔═╡ 1cdac5f0-fc02-11ea-1db6-67ec6ff27617
size(train_y)

# ╔═╡ 480a9cfc-fc03-11ea-0d4e-0d20b008513c
klasses = sort(unique(train_y))

# ╔═╡ c49d6140-fc04-11ea-12ed-612c4eafc3be
onehot_labels = Flux.onehotbatch(train_y, klasses)

# ╔═╡ 997dc9bc-fc04-11ea-2b6c-f1a54753f29a
train_data = Iterators.repeated((train_x, onehot_labels), 150)

# ╔═╡ acf6d226-fc02-11ea-3f18-493597b870d2
loss(x,y) = Flux.crossentropy(m(x), y)

# ╔═╡ 565b20cc-fc05-11ea-2306-53574dd81833
accuracy(x, y, model) = Flux.mean(Flux.onecold(model(x)) .== Flux.onecold(y))

# ╔═╡ c665f7c8-fc02-11ea-3eb8-9b0c019e5d87
opt = Descent(0.3)

# ╔═╡ df3dd4d0-fc04-11ea-0110-b3d5a5301326
Flux.train!(loss, Flux.params(m), train_data, opt)

# ╔═╡ 0bb69ca2-fc05-11ea-1ecf-3116ffb13f62
Flux.onecold(m(train_x[:,8]))

# ╔═╡ 34edea8c-fc05-11ea-1871-a36b2dc53a52
Flux.onecold(onehot_labels[:,8])

# ╔═╡ 5f892cac-fc05-11ea-247e-5d1a02a89a8a
accuracy(train_x, onehot_labels, m)

# ╔═╡ c351ba60-fc05-11ea-32c9-e5e8a65bc239
sum(Flux.onecold(m(train_x)) .== Flux.onecold(onehot_labels))

# ╔═╡ Cell order:
# ╠═545bb79c-fbf0-11ea-3455-67441d62f5fe
# ╠═741102a8-fc05-11ea-2352-0bd39f49fcd3
# ╠═c4878102-fbf0-11ea-298e-eb205469990c
# ╠═01be0a34-fbf1-11ea-0beb-0521a2d634c4
# ╠═459673f4-fbf1-11ea-114a-53b01f61a81b
# ╠═78f37170-fbf1-11ea-3dab-07eed2cba687
# ╠═05baaefc-fbf2-11ea-0a8b-29a1748f44d3
# ╠═a5e15114-fbf3-11ea-1660-d3aaa45ff6c4
# ╠═11f5a760-fbf4-11ea-286d-c9f6f30f83ed
# ╠═3e7e073c-fbf4-11ea-03b7-e723e9d36fe6
# ╠═93b8a5d6-fbf4-11ea-265e-5d6c49cc4242
# ╠═e007cc00-fbf4-11ea-32d8-f11128553f4f
# ╠═ce10f3f2-fc01-11ea-0c30-3945431c0fb2
# ╠═5d11b170-fc04-11ea-1c67-e7df917005f9
# ╠═76a58fd0-fc04-11ea-3ef0-5b61e18dac67
# ╠═8c989422-fc04-11ea-0a3c-d5ec2e7bc9dd
# ╠═9498eb48-fc01-11ea-24f5-c130e859c64f
# ╠═aff167a8-fc01-11ea-3e6c-5323f94be667
# ╠═997dc9bc-fc04-11ea-2b6c-f1a54753f29a
# ╠═1cdac5f0-fc02-11ea-1db6-67ec6ff27617
# ╠═480a9cfc-fc03-11ea-0d4e-0d20b008513c
# ╠═c49d6140-fc04-11ea-12ed-612c4eafc3be
# ╠═acf6d226-fc02-11ea-3f18-493597b870d2
# ╠═565b20cc-fc05-11ea-2306-53574dd81833
# ╠═c665f7c8-fc02-11ea-3eb8-9b0c019e5d87
# ╠═df3dd4d0-fc04-11ea-0110-b3d5a5301326
# ╠═0bb69ca2-fc05-11ea-1ecf-3116ffb13f62
# ╠═34edea8c-fc05-11ea-1871-a36b2dc53a52
# ╠═5f892cac-fc05-11ea-247e-5d1a02a89a8a
# ╠═c351ba60-fc05-11ea-32c9-e5e8a65bc239

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