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""" newtonroot(f[, f']; x0 = 0.8, tolerance = 1.e-13, maxiter = 1000) This function computes the local root of a univariate smooth function `f(x)` using the Newton's Method. This method starts with a `x_0` guess, a function `f(x)` and the first-derivative `f'(x)`. The algorithm follows: `` x^{n+1} = x^n - f(x^n)/f'(x^n) `` until `` |x^{n+1} - x^n|`` is below the tolerance level. ... # Arguments - `f(x)::Function`: the function you are trying to solve. - `f'(x)::Function`: the first derivative of the function you are trying to solve. If it is not given the program estimate `f'(x)` using ForwardDiff. - `x0::Float64`: the initial value for the algorithm. The default value is 0.8. - `tolerance::Float64` : the minimum tolerance for the algorithm to converge. The default value is 1.0e-13. - `maxiter::Int64`: the maximum number of iterations allowed. The default value is 1000. --- # Examples ```julia-repl julia> f(x) = (x - 2)^2 f (generic function with 1 method) julia> df(x) = 2(x - 2) df (generic function with 1 method) julia> newtonroot(f,df) (value = 1.9999999999999318, normdiff = 6.816769371198461e-14, iter = 45) julia> a = newtonroot(f)[1] 1.9999999999999318 julia> newtonroot(f)[1] ≈ 2 true ``` ... """ function newtonroot(f, f_prime; x0=0.8, tolerance=1.0E-13, maxiter=1000) # Initial values v_old = x0 normdiff = Inf iter = 1 # Running the algorithm while (normdiff > tolerance) && (iter < maxiter) if !(f_prime(v_old) == 0) v_new = v_old - (f(v_old) / f_prime(v_old)) normdiff = norm(v_new - v_old) # replace and continue v_old = v_new iter = iter + 1 else return(value = nothing, normdiff = nothing, iter = nothing) end end if (iter < maxiter) return(value = v_old, normdiff = normdiff, iter = iter) else return(value = nothing, normdiff = nothing, iter = nothing) end end function newtonroot(f; x0=0.8, tolerance=1.0E-13, maxiter=1000) # Initial values v_old = x0 normdiff = Inf iter = 1 # Taking the derivative D(f) = x -> ForwardDiff.derivative(f, x) f_prime = D(f) # Running the algorithm while (normdiff > tolerance) && (iter < maxiter) if !(f_prime(v_old) == 0) v_new = v_old - (f(v_old) / f_prime(v_old)) normdiff = norm(v_new - v_old) # replace and continue v_old = v_new iter = iter + 1 else return(value = nothing, normdiff = nothing, iter = nothing) end end if (iter < maxiter) return(value = v_old, normdiff = normdiff, iter = iter) else return(value = nothing, normdiff = nothing, iter = nothing) end end
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#=win.jl - replay the game fromstart to finish, at every step checking if the game is won. If the game is won, print ”B” for Black winning, and ”W” for white winning. If black resigned, print ”R”. If white resigned, print ”r”. If the game is on, print ”?”. If the game is a draw, print ”D”. Accepts 1 command line argument,<filename> => database =# include("board.jl") include("dParse.jl") module win using BM using SQLite function winner() database = ARGS[1] #/path/to/database/file {string} db = SQLite.DB(database) #Opens the database gamefile board = BM.startGame("standard") state = board.state res = "?" maxMove = parse(get(SQLite.query(db, """SELECT max(move_number) from moves;""")[1,1])) for x in 1:maxMove #iterates through each row of the database dataMove = SQLite.query(db, """SELECT move_number, move_type, targetx, targety,sourcex,sourcey FROM moves WHERE "move_number" = '$x'""") move_type = get(dataMove[1,2]) if !isnull(dataMove[1,3]) targetx = parse(get(dataMove[1,3])) targety = parse(get(dataMove[1,4])) end #Case 1: Resigned if move_type == "resign" if iseven(x) == true res="r" else #x is odd res="R" end #Case 2: Win #Game is won on the move that captures a king #I implemented win where, if the target X Y location of the current move is a king, it means the king is captpured so the other team wins elseif ( get(state,(targetx,targety),('x','x'))[1] == 'k') #uses function from spuare.jl if (get(state,(targetx,targety),('x','x'))[2] == 'b') res = "W" else #board[targetx][targety].team == "w" res = "B" end end if !(isnull(dataMove[1,5])) #type:move sourcex=parse(get(dataMove[1,5])) sourcey=parse(get(dataMove[1,6])) state[(targetx,targety)] = deepcopy(state[(sourcex,sourcey)]) #Updates the board before next move delete!(state,(sourcex,sourcey)) end end return res end #End function res = winner() println(res) end
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module BuildBasis export buildbasisfunc using TypesParticles, TypesBasis @doc raw""" buildbasisfunction(atomicsystem::SystemOfAtoms,basis::Basis) Returns atom-centered basis functions and number of electrons. Description: This function will take the system information and create the basis functions that are atomically centered. Each basis function will contain the parameters for the Gaussian functions that when linearly combined make up the basis function. Note that the actual basis function is not yet constructed here, i.e., we are not taking the summation of Gaussians. Depends on datatypes in TypesParticles.jl and TypesBasis.jl """ function buildbasisfunc(atomicsystem::SystemOfAtoms,basis::Basis) natoms = atomicsystem.natoms; nelectrons = 0; #Closed-shell system only for i=1:natoms nelectrons += atomicsystem.atoms[i].Z end nbasis = basis.nbasisfunc; basisfunc = Array{GaussOrbitals,2}(undef,natoms,nbasis); #Assign each atom-centered basis functions #ie = 1; #total electron counter for a=1:natoms #For each gaussian store 5 values: c,alpha,xo,yo,zo #For Z=1 n-basis per atom is 1 so basisfunc length equal num atoms. for j=1:nbasis #6-31 type basis set if basis.basisfunc[j].info == "6-31" basisfunc[a,j] = GaussOrbitals(atomicsystem.atoms[a],basis.basisfunc[j]) end end # nbasis end # atomicsystem.atoms return basisfunc,nelectrons end #buildbasisfunction end #BuildBasis
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module JellyFish using Libdl: find_library export jaro_winkler, jaro_distance, hamming_distance, levenshtein_distance, damerau_levenshtein_distance, soundex, metaphone, match_rating_codex, match_rating_comparison, nysiis const _jellyfishlib = find_library(["jellyfish"], [joinpath(@__DIR__, "..", "deps")]) macro _calls1s2type(func, returntype, s1, s2) :(ccall(($(esc(func)), _jellyfishlib), $(esc(returntype)), (Ptr{Cchar}, Ptr{Cchar}), $(esc(s1)), $(esc(s2)))) end function jaro_winkler(s1::String, s2::String) ccall((:jaro_winkler, _jellyfishlib), Cdouble, (Ptr{Cchar}, Ptr{Cchar}, Bool), s1, s2, false) end function jaro_distance(s1::String, s2::String) @_calls1s2type(:jaro_distance, Cdouble, s1, s2) end function hamming_distance(s1::String, s2::String) convert(Int, @_calls1s2type(:hamming_distance, Csize_t, s1, s2)) end function levenshtein_distance(s1::String, s2::String) @_calls1s2type(:levenshtein_distance, Cint, s1, s2) end function damerau_levenshtein_distance(s1::String, s2::String) @_calls1s2type(:damerau_levenshtein_distance, Cint, s1, s2) end # for some reason doesn't work: function _callstr(func::Symbol, s::String) r = ccall((func, _jellyfishlib), Ptr{Cchar}, (Ptr{Cchar},), s) unsafe_string(r) end function soundex(s::String) # _callstr(:soundex, s) r = ccall((:soundex, _jellyfishlib), Ptr{Cchar}, (Ptr{Cchar},), s) unsafe_string(r) end function metaphone(s::String) # _callstr(:metaphone, s) r = ccall((:metaphone, _jellyfishlib), Ptr{Cchar}, (Ptr{Cchar},), s) unsafe_string(r) end function match_rating_codex(s::String) # _callstr(:match_rating_codex, s) r = ccall((:match_rating_codex, _jellyfishlib), Ptr{Cchar}, (Ptr{Cchar},), s) unsafe_string(r) end function match_rating_comparison(s1::String, s2::String) @_calls1s2type(:match_rating_comparison, Bool, s1, s2) end function nysiis(s::String) # _callstr(:nysiis, s) r = ccall((:nysiis, _jellyfishlib), Ptr{Cchar}, (Ptr{Cchar},), s) unsafe_string(r) end end
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2.232123
909
import Pkg; Pkg.activate("../../") println("Loading libraries ...") include("PreProcess.jl") import CSV import DataFrames; const DF = DataFrames println("Finished loading libraries.") data_dir = "../data" path_to_data = "$(data_dir)/cb_transformed.csv" function separatesamples(Y) sample_ids = sort(unique(Y.sample_id)) return Matrix.(DF.select(Y[Y.sample_id .== i, :], DF.Not(:sample_id)) for i in sample_ids) end # Read transformed CB data into Y as a data frame. # Replace `missing` with `NaN`. Y = coalesce.(CSV.read(path_to_data), NaN) markernames = filter(x -> x != :sample_id, names(Y)) y = separatesamples(Y) isgoodmarker = PreProcess.preprocess!(y, maxNanOrNegProp=.9, maxPosProp=.9, rowThresh=-6.0) includedmarkers = Symbol[] excludedmarkers = Symbol[] for j in 1:length(isgoodmarker) marker = markernames[j] if isgoodmarker[j] append!(includedmarkers, [marker]) else append!(excludedmarkers, [marker]) end end # Concatenate y and convert to data frame Y_reduced = DF.DataFrame(vcat(y...), includedmarkers) # Convert NaN to missing Y_reduced = ifelse.(isnan.(Y_reduced), missing, Y_reduced) # Append a column for sample_id Y_reduced[!, :sample_id] = vcat([fill(i, size(y[i], 1)) for i in 1:length(y)]...) # Path to reduced data path_to_reduced_data = "$(data_dir)/cb_transformed_reduced.csv" # Write reduced data to disk. println("Writing reduced-and-transformed CB data to: ") println(path_to_reduced_data) CSV.write(path_to_reduced_data, Y_reduced) println("Done!")
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2.465331
649
# -*- coding: utf-8 -*- # --- # jupyter: # jupytext: # formats: ipynb,jl:light # text_representation: # extension: .jl # format_name: light # format_version: '1.5' # jupytext_version: 1.4.2 # kernelspec: # display_name: Julia 1.4.0 # language: julia # name: julia-1.4 # --- # # Strong Landau Damping # # Electrostatic example of strong Landau damping # $$ # f(x,v) =\frac{1}{2\pi\sigma^2} \exp # \Big( - \frac{v_1^2 + v_2^2}{2\sigma^2} \Big) # ( 1+\alpha \cos(k x)􏰁), # $$ # using ProgressMeter, Plots using CSV, Dates, FFTW using GEMPIC using Sobol using Random using Distributions using JLD2 using FileIO function main_sample!( pg :: ParticleGroup{1,1}, ps :: ParticleSampler, df :: GEMPIC.CosSumGaussianSpin, mesh :: Mesh ) s = zeros( pg.n_spin ) theta = 0.0 phi = 0.0 n_rnds = 0 if df.params.n_gaussians > 1 n_rnds = 1 end δ = zeros(df.params.n_gaussians) for i_v=1:df.params.n_gaussians δ[i_v] = sum(df.params.δ[1:i_v]) end n_rnds += 2 rdn = zeros(3) if ps.sampling_type == :sobol rng_sobol = SobolSeq(1) end rng_random = MersenneTwister(ps.seed) d = Normal() for i_part = 1:(pg.n_particles) if ps.sampling_type == :sobol x = mesh.xmin[1] + Sobol.next!(rng_sobol)[1] * mesh.Lx[1] else x = mesh.xmin[1] + rand(rng_random) * mesh.Lx[1] end v = rand(rng_random, d) # For multiple Gaussian, draw which one to take rnd_no = rdn[3] i_gauss = 1 while( rnd_no > δ[i_gauss] ) i_gauss += 1 end v = v * df.params.σ[i_gauss] + df.params.μ[i_gauss] #for a peaked initial condition in the s direction s = [0, 0, 1] #for a uniformly distributed initial condition on the sphere # for tt = 1:10 # s[1] = randn() # s[2] = randn() # s[3] = randn() # if norm(s) > 10^(-4) # break # end # end # s .= s./norm(s) # Set weight according to value of perturbation w = GEMPIC.eval_x_density(df, x) * prod(mesh.Lx) # Copy the generated numbers to the particle GEMPIC.set_x(pg, i_part, x[1]) GEMPIC.set_v(pg, i_part, v) GEMPIC.set_spin(pg, i_part, 1, s[1]) GEMPIC.set_spin(pg, i_part, 2, s[2]) GEMPIC.set_spin(pg, i_part, 3, s[3]) # Set weights. GEMPIC.set_weights(pg, i_part, w) end end # + function run( steps :: Int64) σ, μ = 0.02, 0.0 kx, α = 1.004355, 0.001 xmin, xmax = 0, 2π/kx nx = 32 #NC 1024 n_particles = 1000 #NC 100000 mesh = Mesh( xmin, xmax, nx) spline_degree = 3 df = GEMPIC.CosSumGaussianSpin([[kx]], [α], [[σ]], [[μ]] ) particle_group2 = ParticleGroup{1,1}( n_particles, n_spin=3) sampler = ParticleSampler{1,1}( :sobol, n_particles) main_sample!(particle_group2, sampler, df, mesh) particle_group = ParticleGroup{1,1}( n_particles, n_spin=3) for i_part = 1:n_particles x = zeros( 1 ) v = zeros( 1 ) s = zeros( 3 ) w = zeros( 1 ) x = GEMPIC.get_x(particle_group2, i_part) v = GEMPIC.get_v(particle_group2, i_part) s1 = GEMPIC.get_spin(particle_group2, i_part, 1) s2 = GEMPIC.get_spin(particle_group2, i_part, 2) s3 = GEMPIC.get_spin(particle_group2, i_part, 3) w = GEMPIC.get_weights(particle_group2, i_part) GEMPIC.set_x(particle_group, i_part, x[1]) GEMPIC.set_v(particle_group, i_part, v[1]) GEMPIC.set_spin(particle_group, i_part, 1, s1) GEMPIC.set_spin(particle_group, i_part, 2, s2) GEMPIC.set_spin(particle_group, i_part, 3, s3) GEMPIC.set_weights(particle_group, i_part, w[1]) end kernel_smoother2 = ParticleMeshCoupling( mesh, n_particles, spline_degree-2, :galerkin) kernel_smoother1 = ParticleMeshCoupling( mesh, n_particles, spline_degree-1, :galerkin) kernel_smoother0 = ParticleMeshCoupling( mesh, n_particles, spline_degree, :galerkin) rho = zeros(Float64, nx) efield_poisson = zeros(Float64, nx) # Init!ialize the field solver maxwell_solver = Maxwell1DFEM(mesh, spline_degree) # efield by Poisson solve_poisson!( efield_poisson, particle_group, kernel_smoother0, maxwell_solver, rho ) # Initialize the arrays for the spline coefficients of the fields k0 = 12.0523 E0 = 10 ww = 12.104827940833333 #Test 1 with only Ey and Ay (and with HH=0) Ey(x) = E0*cos(k0*x) Ez(x) = 0.0*E0*sin(k0*x) Ay(x) = -E0/ww*sin(k0*x) Az(x) = 0.0*E0/ww*cos(k0*x) efield_dofs = [efield_poisson, zeros(Float64, nx), zeros(Float64, nx)] afield_dofs = [zeros(Float64, nx), zeros(Float64, nx)] l2projection!( efield_dofs[2], maxwell_solver, Ey, spline_degree) l2projection!( efield_dofs[3], maxwell_solver, Ez, spline_degree) l2projection!( afield_dofs[1], maxwell_solver, Ay, spline_degree) l2projection!( afield_dofs[2], maxwell_solver, Az, spline_degree) propagator = HamiltonianSplittingSpin( maxwell_solver, kernel_smoother0, kernel_smoother1, kernel_smoother2, particle_group, efield_dofs, afield_dofs) efield_dofs_n = propagator.e_dofs thdiag = TimeHistoryDiagnosticsSpin( particle_group, maxwell_solver, kernel_smoother0, kernel_smoother1 ); # mode = zeros(ComplexF64,steps,nx) th_modes = Vector{ComplexF64}[] elec_tmp = zeros(Float64,nx) Δt = 0.002 @showprogress 1 for jstep = 1:steps # loop over time # Strang splitting strang_splitting!(propagator, Δt, 1) solve_poisson!( efield_poisson, particle_group, kernel_smoother0, maxwell_solver, rho) write_step!(thdiag, jstep * Δt, spline_degree, efield_dofs, afield_dofs, efield_dofs_n, efield_poisson, propagator) #diagnostics #store particles at some specific times if (jstep % 1000 == 0) GEMPIC.save( "save_particles", jstep, particle_group) end #Fourier modes of the longitudinal electric field for i = 1:nx elec_tmp[i] = GEMPIC.evaluate(thdiag.kernel_smoother_1, (i-1)*propagator.delta_x[1], efield_dofs[1]) end push!(th_modes,fft(elec_tmp)) end thdiag.data, th_modes end # + thdiag, th_modes = run(100) # choose number of steps CSV.write("thdiag-$(now()).csv", thdiag) file="th_modes" #datafile = @sprintf("%s.jld2", file) FileIO.save("th_modes.jld2", Dict("modes" => th_modes)) # -
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#= Modela diferentes tipos de anemômetros =# """ HWSensor(I, E, R, T) Condições de operação do sensor de um anemômetro de fio quente. """ struct HWSensor "Corrente passando no sensor" I::Float64 "Tenão no sensor" E::Float64 "Resistência do sensor" R::Float64 "Temmperatura do sensor" T::Float64 "Potência dissipada no sensor" P::Float64 HWSensor(I, E, R, T) = new(I, E, R, T, I*E) end """ const_current(mA, R::Thermistor, U=5.0, d=3.0, Ta=20.0, Pa=101.3, dterr=1e-6, nmax=20000) Modela um anemômetro trabalhando a corrente constante. Não simula circuitos elétricos. Utiliza um esquema iterativo. Argumentos: * `mA` Corrente em mA * `R` Objeto que modela o termistor * `U` Velocidade em m/s * `d` Diâmetro em mm * `Ta` Temperatura ao longe em °C * `Pa` Pressão atmosférica em kPa * `dterr` Erro admissível para convergência da temperatura. * `nmax` Número máximo de iterações. ```jldoctest julia> R = Thermistor(5e3, 3200, 20) THW.Thermistor(5000.0, 3200.0, 293.15) julia> const_current(20, R, 5.0, 2.0) THW.HWSensor(0.02, 9.395209322307162, 469.7604661153581, 101.07772779650266, 0.18790418644614323) julia> const_current(20, R, 1.0, 2.0) THW.HWSensor(0.02, 5.872996120670518, 293.64980603352586, 122.8352988426391, 0.11745992241341036) julia> const_current(20, R, 10.0, 2.0) THW.HWSensor(0.02, 11.70131737284239, 585.0658686421194, 91.71177677466494, 0.2340263474568478) julia> const_current(20, R, 10.0, 10.0) THW.HWSensor(0.02, 44.971641701710844, 2248.582085085542, 43.15632417996514, 0.8994328340342169) ``` """ function const_current(mA, R::Thermistor, U=5.0, d=3.0, Ta=20.0, Pa=101.3, dterr=1e-6, nmax=20000) I = mA/1000 D = d/1000 r = D/2 A = 4π*r^2 Tw = Ta + 0.01 i = 0 P = 0.0 for i = 1:nmax h = hconvect(U, D, Tw, Ta, Pa) #println(h) P = R(Tw)*I^2 Tw1 = P/(h*A) + Ta dt = Tw1-Tw if abs(dt) < dterr Tw = Tw1 break end Tw = Tw + 0.4*dt end res = R(Tw) E = res*I return HWSensor(I, E, res, Tw) end """ const_temperature(Tw, R::Thermistor, U=5.0, d=3.0, Ta=20.0, Pa=101.3) Modela um anemômetro trabalhando a temperatura constante. Não simula circuitos elétricos. Argumentos: * `Tw` Temperatura de operação do sensor * `R` Objeto que modela o termistor * `U` Velocidade em m/s * `d` Diâmetro em mm * `Ta` Temperatura ao longe em °C * `Pa` Pressão atmosférica em kPa ```jldoctest julia> R = Thermistor(5e3, 3200, 20) THW.Thermistor(5000.0, 3200.0, 293.15) julia> const_temperature(100.0, R, 5.0, 2.0) THW.HWSensor(0.019627341883449854, 9.45069202339691, 481.50646580247894, 100.0, 0.18549196337840362) julia> const_temperature(100.0, R, 1.0, 2.0) THW.HWSensor(0.01383013241982859, 6.65929818305195, 481.50646580247894, 100.0, 0.09209897569473241) julia> const_temperature(100.0, R, 10.0, 2.0) THW.HWSensor(0.023241402160834233, 11.190885414757389, 481.50646580247894, 100.0, 0.26009186846019067) julia> const_temperature(100.0, R, 20.0, 2.0) THW.HWSensor(0.027741857167247384, 13.357883599398457, 481.50646580247894, 100.0, 0.3705724988712284) julia> const_temperature(100.0, R, 20.0, 3.0) THW.HWSensor(0.037797691428912955, 18.19983281542853, 481.50646580247894, 100.0, 0.6879116648153717) ``` """ function const_temperature(Tw, R::Thermistor, U=5.0, d=3.0, Ta=20.0, Pa=101.3) D = d/1000 r = D/2 A = 4π*r^2 Rw = R(Tw) h = hconvect(U, D, Tw, Ta, Pa) i = sqrt(h*A*(Tw-Ta)/Rw) return HWSensor(i, Rw*i, Rw, Tw) end function const_temperature_cyl(Tw, R::AbstractResistor, U=5.0, d=5.0, l=3, Ta=20.0, Pa=101.325) D = d/1e6 L = l / 1000 r = D/2 A = L * π * D Rw = R(Tw) h = hconvectcyl(U, D, Tw, Ta, Pa) i = sqrt(h*A*(Tw-Ta)/Rw) return i*1000 end
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1.905206
2,036
function avgfilter1d_constprop_setup(n, w = 3) xs = rand(SVector{w,UInt8}, n) ys = zero(xs) return (; ys, xs) end @inline function avg_at(xs0, i, N) @static if USE_ALIASSCOPE xs = Const(xs0) else xs = xs0 end s = zero(eltype(xs)) for k in 1:N s = s .+ @inbounds xs[i + k - 1] end return s .÷ N end @inline function avgfilter1d_constprop_seq!(ys, xs, N = 4) @assert axes(ys) == axes(xs) for i0 in 0:length(xs) - N i = firstindex(xs) + i0 @inbounds ys[i] = avg_at(xs, i, N) end return ys end @inline function avgfilter1d_constprop_threads!(ys, xs, N = 4) @assert axes(ys) == axes(xs) Threads.@threads for i0 in 0:length(xs) - N i = firstindex(xs) + i0 @inbounds ys[i] = avg_at(xs, i, N) end return ys end # Using `@inline` to nudge that the 3-arg method sees the constant 4 set by the # "outer" 2-arg function. @inline function avgfilter1d_constprop_tapir_dac!(ys, xs, N = 4) @assert axes(ys) == axes(xs) Tapir.@par dac for i0 in 0:length(xs) - N i = firstindex(xs) + i0 @inbounds ys[i] = avg_at(xs, i, N) @grainsize 131072 end return ys end @inline function avgfilter1d_constprop_tapir_seq!(ys, xs, N = 4) @assert axes(ys) == axes(xs) Tapir.@par seq for i0 in 0:length(xs) - N i = firstindex(xs) + i0 @inbounds ys[i] = avg_at(xs, i, N) @grainsize 131072 end return ys end
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1.970784
753
srand(1) a = mapweight(grid2(20),x->1/(rand(1)[1])); la = lap(a) n = size(la)[1] b = randn(n) b = b - mean(b); d = diag(la) pre = (x)->(x ./ d) x = pcg(la,b,pre,maxits=2000,maxtime=1,verbose=true); x = Laplacians.pcgBLAS(la,b,pre,maxits=2000,maxtime=1,verbose=true); x = Laplacians.pcgSlow(la,b,pre,maxits=2000,maxtime=1,verbose=true); x = pcg(la,b,pre,maxits=2000,verbose=true); x = Laplacians.pcgBLAS(la,b,pre,maxits=2000,verbose=true); x = Laplacians.pcgSlow(la,b,pre,maxits=2000,verbose=true); x = Laplacians.pcgBLAS(la,b,pre,tol=1e-2); x = Laplacians.pcgSlow(la,b,pre,tol=1e-2); x = pcg(la,b,pre,tol=1e-2); x = cg(la,b,verbose=true,maxtime=1,maxits=1000); x = Laplacians.cgBLAS(la,b,verbose=true,maxtime=1,maxits=1000); x = Laplacians.cgSlow(la,b,verbose=true,maxtime=1,maxits=1000); x = cg(la,b,verbose=true,maxits=2000); x = Laplacians.cgBLAS(la,b,verbose=true,maxits=2000); x = Laplacians.cgSlow(la,b,verbose=true,maxits=2000); x = cg(la,b,verbose=true,tol=0.5); x = Laplacians.cgBLAS(la,b,verbose=true,tol=0.5); x = Laplacians.cgSlow(la,b,verbose=true,tol=0.5); n = 100 a = wtedChimera(n,3) la = lap(a) f = cgSolver(la,verbose=false) b = randn(n) b = b - mean(b) x = f(b) norm(la*x-b) x = f(b,maxits=15,verbose=true, maxtime=1) d = diagm(1./diag(la)) pre = x -> d*x x = pcg(la, b, diagm(diag(la)),maxits=10) x = pcg(la, b, pre,maxits=10,verbose=true) f = pcgSolver(la, diagm(diag(la)) ,maxits=10,verbose=true) x = f(b) f = pcgSolver(la,pre,maxits=10,verbose=false) x = f(b,verbose=true, maxits=1000, maxtime = 2)
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1.853688
827
using Plots using Colors pyplot() include("N_plots.jl") # Model and Objective N = 51 model, obj = Dynamics.dubinscar_parallelpark obj_uncon = UnconstrainedObjective(obj) opts = SolverOptions() opts.verbose = false opts.cost_tolerance = 1e-6 opts.cost_tolerance_intermediate = 1e-5 opts.constraint_tolerance = 1e-4 opts.resolve_feasible = false opts.outer_loop_update_type = :default opts.penalty_scaling = 200 opts.penalty_initial = .1 opts.R_infeasible = 20 dircol_options = Dict("tol"=>opts.cost_tolerance,"constr_viol_tol"=>opts.constraint_tolerance) #### UNCONSTRAINED ##### solver = Solver(model, obj_uncon, N=N, opts=opts) n,m,N = get_sizes(solver) U0 = ones(m,N) X0 = line_trajectory(solver) X0_rollout = rollout(solver,U0) res_i, stats_i = solve(solver,U0) stats_i["iterations"] stats_i["runtime"] evals(solver,:f) / stats_i["iterations"] res_p, stats_p = solve_dircol(solver,X0_rollout,U0) stats_p["iterations"] evals(solver,:f)/stats_p["iterations"] stats_p["runtime"] Ns = [101,201,301,401] group = "parallelpark/unconstrained" run_step_size_comparison(model, obj_uncon, U0, group, Ns, opts=opts, integrations=[:rk3,:ipopt],benchmark=true) plot_stat("runtime",group,legend=:bottomright,["rk3","ipopt"],title="Unconstrained Parallel Park") plot_stat("iterations",group,legend=:bottom,["rk3","ipopt"],title="Unconstrained Parallel Park") plot_stat("error",group,yscale=:log10,legend=:right,["rk3","ipopt"],title="Unconstrained Parallel Park") plot_stat("std",group,yscale=:log10,legend=:right,["rk3","ipopt"],title="Unconstrained Parallel Park") #### CONSTRAINED #### solver = Solver(model, obj, N=N, opts=opts) n,m,N = get_sizes(solver) U0 = ones(m,N) X0 = line_trajectory(solver) X0_rollout = rollout(solver,U0) res_i, stats_i = solve(solver,U0) res_p, stats_p = solve_dircol(solver,X0_rollout,U0) stats_i["iterations"] stats_i["runtime"] evals(solver,:f) / stats_i["iterations"] stats_p["iterations"] evals(solver,:f)/stats_p["iterations"] stats_p["runtime"] Ns = [101,201,301,401] group = "parallelpark/constrained" run_step_size_comparison(model, obj, U0, group, Ns, opts=opts, integrations=[:rk3,:ipopt],benchmark=true) plot_stat("runtime",group,legend=:bottomright,["rk3","ipopt",""],title="Constrained Parallel Park",color=[:blue :darkorange2]) savefig(joinpath(IMAGE_DIR,"ppark_runtime.eps")) plot_stat("iterations",group,legend=:bottom,["rk3","ipopt"],title="Constrained Parallel Park",color=[:blue :darkorange2]) savefig(joinpath(IMAGE_DIR,"ppark_iterations.eps")) plot_stat("error",group,yscale=:log10,legend=:right,["rk3","ipopt"],title="Constrained Parallel Park") Plots.eps(joinpath(IMAGE_DIR,"ppark_runtime")) # Constraint vs time (Newton tail) # using TrajectoryOptimization: gen_usrfun_newton, NewtonVars, gen_newton_functions, newton_projection # t_start = time_ns() # V_ = newton_projection(solver,res_i,eps=1e-8,verbose=false) # res_ = ConstrainedVectorResults(solver,V_.Z.X,V_.Z.U) # backwardpass!(res_,solver) # rollout!(res_,solver,0.0) # max_violation(res_) # t_newton = float(time_ns()-t_start)/1e9 # # t_i = 0.469548 # from running @btime # t_p = 0.659831 # from running @btime # t_2 = 11.325 # from running @btime # time_i = collect(range(0,stop=t_i,length=stats_i["iterations"])) # time_p = range(0,stop=t_p,length=stats_p["iterations"]) # p = plot(time_p,stats_p["c_max"][2:end],yscale=:log10,label="Ipopt",color=:blue,width=2, # markershape=:circle,markerstrokecolor=:blue) # c_max = [stats_i["c_max"]; max_violation(res_)] # push!(time_i,t_i+t_newton) # plot!(time_i,c_max,label="ALTRO*",color=:green,width=2,markershape=:circle,markerstrokecolor=:green, # xlabel="runtime (s)",ylabel="max constraint violation") # plot_vertical_lines!(p,[t_i]) # time_2 = range(0,step=time_i[2]-time_i[1],length=stats_2["iterations"]) # plot!(time_2,stats_2["c_max"],label="ALTRO",width=2,color=:darkorange2, # markershape=:circle,markerstrokecolor=:darkorange2,xlim=[0,1.5],size=(500,250)) # savefig(p,joinpath(IMAGE_DIR,"ppark_newton.eps")) # Constraint vs Iteration (Newton tail) using TrajectoryOptimization: gen_usrfun_newton, NewtonVars, gen_newton_functions, newton_projection t_start = time_ns() solver.opts.iterations = 25 solver.opts.constraint_tolerance = 1e-2 res_i, stats_i = solve(solver,U0) max_violation(res_i) plot(stats_i["c_max"],yscale=:log10) V_ = newton_projection(solver,res_i,eps=1e-8,verbose=false) res_ = ConstrainedVectorResults(solver,V_.Z.X,V_.Z.U) backwardpass!(res_,solver) rollout!(res_,solver,0.0) max_violation(res_) t_newton = float(time_ns()-t_start)/1e9 t_i = 0.469548 # from running @btime t_p = 0.659831 # from running @btime t_2 = 11.325 # from running @btime time_i = collect(range(0,stop=t_i,length=stats_i["iterations"])) time_p = range(0,stop=t_p,length=stats_p["iterations"]) p = plot(time_p,stats_p["c_max"][2:end],yscale=:log10,label="Ipopt",color=:blue,width=2, markershape=:circle,markerstrokecolor=:blue) c_max = [stats_i["c_max"]; max_violation(res_)] push!(time_i,t_i+t_newton) plot!(time_i,c_max,label="ALTRO*",color=:green,width=2,markershape=:circle,markerstrokecolor=:green, xlabel="runtime (s)",ylabel="max constraint violation") plot_vertical_lines!(p,[t_i]) time_2 = range(0,step=time_i[2]-time_i[1],length=stats_2["iterations"]) plot!(time_2,stats_2["c_max"],label="ALTRO",width=2,color=:darkorange2, markershape=:circle,markerstrokecolor=:darkorange2,xlim=[0,1.5],size=(500,250)) savefig(p,joinpath(IMAGE_DIR,"ppark_newton.eps")) # #### INFEASIBLE #### # opts = SolverOptions() # opts.verbose = false # opts.cost_tolerance = 1e-6 # opts.cost_tolerance_intermediate = 1e-3 # opts.cost_tolerance_infeasible = 1e-4 # opts.constraint_tolerance = 1e-4 # opts.resolve_feasible = false # opts.outer_loop_update_type = :default # opts.use_nesterov = true # opts.penalty_scaling = 200 # opts.penalty_initial = 10 # opts.R_infeasible = 10 # opts.square_root = true # opts.constraint_decrease_ratio = 0.25 # opts.penalty_update_frequency = 2 # # solver = Solver(model, obj, N=101, opts=opts) # n,m,N = get_sizes(solver) # U0 = ones(m,N) # X0 = line_trajectory(solver) # X0_rollout = rollout(solver,U0) # # solver.opts.verbose = false # solver.opts.resolve_feasible = true # solver.opts.cost_tolerance_infeasible = 1e-5 # @time res_i, stats_i = solve(solver,X0,U0) # stats_i["iterations"] # res_i.U[1] # stats_i["runtime"] # stats_i["iterations (infeasible)"] # @time res_p, stats_p = solve_dircol(solver,X0_rollout,U0) # # res_s, stats_s = solve_dircol(solver,X0_rollout,U0,nlp=:snopt) # # # import TrajectoryOptimization: _solve, get_feasible_trajectory # # results = copy(res_i) # # solver.state.infeasible = true # # results_feasible = get_feasible_trajectory(results, solver) # # results_feasible.λ_prev[1] # # # solver.state.infeasible # # res, stats = _solve(solver,to_array(results_feasible.U),prevResults=results_feasible); stats["iterations"] # # res, stats = _solve(solver,to_array(results_feasible.U)); stats["iterations"] # # res, stats = _solve(solver,to_array(results_feasible.U),λ=results_feasible.λ); stats["iterations"] # # res, stats = _solve(solver,to_array(results_feasible.U),λ=results_feasible.λ,μ=results_feasible.μ); stats["iterations"] # # # # constraint_plot(solver,X0,U0) # # Ns = [101,201,301,401] # group = "parallelpark/infeasible" # run_step_size_comparison(model, obj, U0, group, Ns, opts=opts, integrations=[:rk3,:ipopt],benchmark=true, infeasible=true) # plot_stat("runtime",group,legend=:bottomright,["rk3","ipopt"],title="Constrained Parallel Park (infeasible)",ylim=[0,1.5]) # plot_stat("iterations",group,legend=:bottom,["rk3","ipopt"],title="Constrained Parallel Park (infeasible)") # plot_stat("error",group,yscale=:log10,legend=:right,["rk3","ipopt"],title="Constrained Parallel Park (infeasible)") # # # # Combined Plot group = "parallelpark/constrained" Ns, data = load_data("runtime","ipopt","parallelpark/constrained") Ns, err = load_data("std","ipopt","parallelpark/constrained") p1 = plot(Ns,data,yerr=err,label="DIRCOL",color=:blue,marker=:circle,markerstrokecolor=:blue,ylabel="runtime",markersize=6) Ns, data = load_data("runtime","rk3","parallelpark/constrained") Ns, err = load_data("std","rk3","parallelpark/constrained") plot!(Ns,data,yerr=err,label="ALTRO",color=:darkorange2,marker=:circle,markerstrokecolor=:darkorange2,markersize=6,ylim=(0,1.9)) Ns, data = load_data("runtime","rk3","parallelpark/infeasible") Ns, err = load_data("std","rk3","parallelpark/infeasible") plot!(Ns,data,yerr=err,label="ALTRO (inf)",color=:darkorange2,style=:dash, marker=:utriangle,markerstrokecolor=:darkorange2,markersize=8, title="Constrained",titlefontsize=10) Ns, err = load_data("std","rk3","parallelpark/infeasible") Ns, data = load_data("runtime",["rk3","ipopt"],"parallelpark/unconstrained") Ns, err = load_data("std",["rk3","ipopt"],"parallelpark/unconstrained") p2 = plot(Ns,data[2],yerr=err[2],color=:blue,style=:dot,label="DIRCOL", width=1.5, marker=:square,markerstrokecolor=:blue,legend=:topleft,markersize=4,ylim=ylims(p1)) plot!(Ns,data[1],yerr=err[1],color=:darkorange2,style=:dot,label="ALTRO",width=1.5, marker=:square,markerstrokecolor=:darkorange2,markersize=4, title="Unconstrained",titlefontsize=10) plot(p1,p2,layout=(1,2),size=(500,300),dpi=400,xlabel="Knot points",ylabel="Runtime") savefig(joinpath(IMAGE_DIR,"ppark_runtime.png"))
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2.35891
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@inline function generate_compat_entry(v::VersionNumber)::String if v.major == 0 && v.minor == 0 return "0.0.$(v.patch)" else return "$(v.major).$(v.minor)" end end # The `_remove_trailing_zeros` function is based on # the `compat_version` function from: # https://github.com/invenia/PkgTemplates.jl/blob/master/src/plugins/project_file.jl @inline function _remove_trailing_zeros(v::VersionNumber)::String if v.patch == 0 if v.minor == 0 if v.major == 0 # v.major is 0, v.minor is 0, v.patch is 0 throw(DomainError("0.0.0 is not a valid input")) else # v.major is nonzero and v.minor is 0 and v.patch is 0 return "$(v.major)" end else # v.minor is nonzero, v.patch is 0 return "$(v.major).$(v.minor)" end else # v.patch is nonzero return "$(v.major).$(v.minor).$(v.patch)" end end # @inline function MajorMinorVersion(version::VersionNumber) # major = version.major::Base.VInt # minor = version.minor::Base.VInt # result = MajorMinorVersion(major, minor) # return result # end # @inline MajorMinorVersion(::Nothing) = nothing # @inline function VersionNumber(x::MajorMinorVersion) # major = x.major::Base.VInt # minor = x.minor::Base.VInt # result = VersionNumber(x, y)::VersionNumber # return result # end # @inline function Base.isless(a::MajorMinorVersion, b::MajorMinorVersion) # a_versionnumber = VersionNumber(a)::VersionNumber # b_versionnumber = VersionNumber(b)::VersionNumber # result = Base.isless(a_versionnumber, b_versionnumber) # return result # end
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module Orekit import Dates using Pkg.Artifacts using JavaCall using Reexport function init() JavaCall.addClassPath(joinpath(artifact"jars", "orekit-artifacts-10.2", "*.jar")) JavaCall.init() end include(joinpath(@__DIR__, "..", "gen", "OrekitWrapper", "OrekitWrapper.jl")) include(joinpath(@__DIR__, "..", "gen", "HipparchusWrapper", "HipparchusWrapper.jl")) include("Time.jl") @reexport using .Time end # module
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2.625767
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# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment # Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved. # Released under the modified BSD license. See COPYING.md for more details. struct DotDict inner::Dict end DotDict() = DotDict(Dict()) function Base.setproperty!(d::DotDict, key::Symbol, value) setindex!(getfield(d, :inner), value, key) end function Base.getproperty(d::DotDict, key::Symbol) (key == :inner ? getfield(d, :inner) : d.inner[key]) end function Base.getindex(d::DotDict, key::Int64) d.inner[Symbol(key)] end function Base.getindex(d::DotDict, key::Symbol) d.inner[key] end function Base.keys(d::DotDict) keys(d.inner) end function Base.values(d::DotDict) values(d.inner) end function Base.iterate(d::DotDict) iterate(values(d.inner)) end function Base.iterate(d::DotDict, v::Int64) iterate(values(d.inner), v) end function Base.length(d::DotDict) length(values(d.inner)) end function Base.show(io::IO, d::DotDict) print(io, "DotDict with $(length(keys(d.inner))) entries:\n") count = 0 for k in keys(d.inner) count += 1 if count > 10 print(io, " ...\n") break end print(io, " :$(k) => $(d.inner[k])\n") end end function recursive_to_dot_dict(el) if typeof(el) == Dict{String, Any} return DotDict(Dict(Symbol(k) => recursive_to_dot_dict(el[k]) for k in keys(el))) else return el end end export recursive_to_dot_dict
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2.293413
668
# packaged version of align.jl. Run align_prep.jl or prep_full.jl first. include("../src/NMRCalibrate.jl") import .NMRCalibrate import NLopt import PlotlyJS using Plots; plotly() PyPlot.close("all") fig_num = 1 Random.seed!(25) PyPlot.matplotlib["rcParams"][:update](["font.size" => 22, "font.family" => "serif"]) save_BSON_flag = true N_d = sum( NMRCalibrate.getNd(Bs[n]) for n = 1:length(Bs) ) N_β = sum( NMRCalibrate.getNβ(κs_β_DOFs[n], Bs[n]) for n = 1:length(Bs) ) shift_lb = -ones(N_d) shift_ub = ones(N_d) Es = collect( NMRSpectraSimulator.καFIDModelType(Bs[i]) for i = 1:length(Bs) ) a_setp, b_setp, minxs, rets = NMRCalibrate.setupitpab(0.1, 10, 0.7; optim_algorithm = :LN_BOBYQA) # w = ones(Float64, length(As)) #LS_inds = 1:length(U_cost) loop_range = 1:length(cost_inds_set) println("Timing:") @time obj_funcs, minfs, minxs, rets = NMRCalibrate.aligncompoundκ(y, U_y, P_y, As, Bs, Es, fs, SW, Δsys_cs, a_setp, b_setp, κs_β_DOFs, κs_β_orderings, shift_lb, shift_ub, cost_inds_set; loop_range = loop_range, w = w, N_starts = 100, #N_starts = 500, # ethanol region 1. local_optim_algorithm = NLopt.LN_BOBYQA, #xtol_rel = 1e-3, xtol_rel = 1e-9, maxeval = 50, maxtime = Inf, β_optim_algorithm = :GN_DIRECT_L, κ_lb_default = 1e-2, κ_ub_default = 1e2, β_max_iters = 500, #β_max_iters = 1000, β_xtol_rel = 1e-9, β_ftol_rel = 1e-9, β_maxtime = Inf); dummy = 1 if save_BSON_flag save_path = joinpath(project_folder, "alignment_results.bson") BSON.bson(save_path, region_min_dist = region_min_dist, minfs = minfs, minxs = minxs, rets = rets) end function plotregion(P, U, q_U, P_y, y, P_cost, y_cost, display_threshold_factor, display_reduction_factor, save_folder, title_string, file_name; save_plot_flag = true, display_plot_flag = true, canvas_size = (1000, 400)) # # reduce the plotting positions for low signal regions. Otherwise the plot store size will be too large, and the time to load the plot will be long. # inds, _ = NMRSpectraSimulator.prunelowsignalentries(q_U, display_threshold_factor, display_reduction_factor) # P_display = P[inds] # U_display = U[inds] # q_U_display = q_U[inds] P_display = P U_display = U q_U_display = q_U # plot. isdir(save_folder) || mkpath(save_folder) plots_save_path = joinpath(save_folder, file_name) #title_string = "$(project_name) alignment results, region $(r), real part" plot_obj = Plots.plot( P_display, real.(q_U_display), title = title_string, label = "model", seriestype = :line, ticks = :native, xlims = (P_display[1],P_display[end]), hover = P_display, linewidth = 4, xlabel = "ppm", ylabel = "real part of spectrum", xflip = true, size = canvas_size) Plots.plot!(plot_obj, P_y, real.(y), label = "full data", seriestype = :line, linestyle = :dot, xflip = true, linewidth = 4) Plots.plot!(plot_obj, P_cost, real.(y_cost), label = "fit data", markershape = :circle, seriestype = :scatter, xflip = true) if save_plot_flag Plots.savefig(plot_obj, plots_save_path) end if display_plot_flag display(plot_obj) end return nothing end function plotalignmentresults(As, Es, w, save_folder, P_y, y, region_min_dist, obj_funcs, minfs, minxs, rets, display_reduction_factor, display_threshold_factor, cost_inds_set, loop_range; canvas_size = (1000, 400), display_flag = false, save_plot_flag = true, N_viz = 50000) U = LinRange(u_min, u_max, N_viz) P = hz2ppmfunc.(U) U_rad = U .* (2*π) for r in loop_range y_cost = y[cost_inds_set[r]] P_cost = P_y[cost_inds_set[r]] q2 = uu->NMRSpectraSimulator.evalitpproxymixture(uu, As, Es; w = w) obj_funcs[r](minxs[r]) # # debug. # N_κ, N_κ_singlets = NMRCalibrate.countκ(Es) # N_κ_vars = N_κ + N_κ_singlets # NMRCalibrate.parseκ!(Es, ones(N_κ_vars)) # # q_U = q2.(U_rad) file_name = "results_real_$(r).html" title_string = "$(project_name) alignment results, region $(r), real part" plotregion(P, U, q_U, P_y, y, P_cost, y_cost, display_threshold_factor, display_reduction_factor, save_folder, title_string, file_name; save_plot_flag = save_plot_flag, display_plot_flag = display_flag, canvas_size = canvas_size) end return nothing end #### visualize. # minxs[1][1] = 0.000 # minxs[2][1] = 0.000 display_reduction_factor = 100 display_threshold_factor = 0.05/10 if "L-Isoleucine" in molecule_names display_reduction_factor = 1 display_threshold_factor = 0.001/10 end save_plot_flag = true display_flag = true plotalignmentresults(As, Es, w, project_folder, P_y, y, region_min_dist, obj_funcs, minfs, minxs, rets, display_reduction_factor, display_threshold_factor, cost_inds_set, loop_range; canvas_size = (1000, 400), display_flag = display_flag, save_plot_flag = save_plot_flag, N_viz = 50000) for r in loop_range println("region $(r):") println("objective: $(minfs[r]), return status: $(rets)") println("shift variable:") display(minxs) println() end
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2.121601
2,574
using Swagger using Test # set the current julia executable to be used henceforth ("JULIA" in keys(ENV)) || (ENV["JULIA"] = joinpath(Sys.BINDIR, "julia")) const gencmd = joinpath(dirname(@__FILE__()), "petstore", "generate.sh") println("Generating petstore using $gencmd") run(`$gencmd`) println("Running petstore tests...") include("petstore/runtests.jl")
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2.834646
127
# --- # title: 765. Couples Holding Hands # id: problem765 # author: Indigo # date: 2021-02-14 # difficulty: Hard # categories: Greedy, Union Find, Graph # link: <https://leetcode.com/problems/couples-holding-hands/description/> # hidden: true # --- # # N couples sit in 2N seats arranged in a row and want to hold hands. We want to # know the minimum number of swaps so that every couple is sitting side by side. # A _swap_ consists of choosing **any** two people, then they stand up and # switch seats. # # The people and seats are represented by an integer from `0` to `2N-1`, the # couples are numbered in order, the first couple being `(0, 1)`, the second # couple being `(2, 3)`, and so on with the last couple being `(2N-2, 2N-1)`. # # The couples' initial seating is given by `row[i]` being the value of the # person who is initially sitting in the i-th seat. # # **Example 1:** # # # # Input: row = [0, 2, 1, 3] # Output: 1 # Explanation: We only need to swap the second (row[1]) and third (row[2]) person. # # # **Example 2:** # # # # Input: row = [3, 2, 0, 1] # Output: 0 # Explanation: All couples are already seated side by side. # # # **Note:** # # 1. `len(row)` is even and in the range of `[4, 60]`. # 2. `row` is guaranteed to be a permutation of `0...len(row)-1`. # # ## @lc code=start using LeetCode function min_swaps_couples(row::Vector{Int}) len, ps, res = length(row), length(row) ÷ 2, 0 grp = [Set{Int}() for i in 1:ps] for i in 1:2:len l, r = row[i] ÷ 2 + 1, row[i + 1] ÷ 2 + 1 (l != r) && (push!(grp[l], r); push!(grp[r], l)) end visited = fill(false, ps) q = Queue{Int}() for i in 1:ps visited[i] && continue enqueue!(q, i) visited[i] = true cnt = 0 while !isempty(q) frt = dequeue!(q) cnt += 1 for neighbor in grp[frt] visited[neighbor] && continue enqueue!(q, neighbor) visited[neighbor] = true end end res += cnt - 1 end res end ## @lc code=end
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2.233402
964
# NOTE: These tests are not part of the active test suite, because they require Distributions.jl. # DO NOT INCORPORATE INTO runtests.jl. using Distributions using LightGraphs using StatsBase using Test import Random import Base: - import LightGraphs: randbn import StatsBase: SummaryStats function -(s::SummaryStats, t::SummaryStats) return SummaryStats(s.mean - t.mean, s.min - t.min, s.q25 - t.q25, s.median - t.median, s.q75 - t.q75, s.max - t.max) end function binomial_test(n, p, s) drand = rand(Binomial(n, p), s) lrand = Int64[randbn(n, p) for i in 1:s] ds = @show summarystats(drand) ls = @show summarystats(lrand) dσ = @show std(drand) lσ = @show std(lrand) summarydiff = @show ds - ls @test abs(summarydiff.mean) / ds.mean < .10 @test abs(summarydiff.median) / ds.median < .10 @test abs(summarydiff.q25) / ds.q25 < .10 @test abs(summarydiff.q75) / ds.q75 < .10 @show dσ - lσ @test abs(dσ - lσ) / dσ < .10 end seed!(1234) n = 10000 p = 0.3 s = 100000 for (n, p, s) in [(100, 0.3, 1000), (1000, 0.8, 1000), (10000, 0.25, 1000)] binomial_test(n, p, s) end
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2.239006
523
module Classical using LinearAlgebra #using StaticArrays """ visco() Implements a power-law dependence for the viscosity ν on the surface density Σ, ν = ν₀(Σ/Σ₀)ᵝ following Grätz, Seiß & Spahn (2018). """ function visco(Σrel,β) THRESH = 0.01 # Thresholding allows us to use β<0, which would otherwise lead to infinities. threshold(Σ) = Σ > THRESH ? Σ : THRESH Σr = threshold.(Σrel) return Diagonal(Σr.^β) end """ Potentially confusing terminology: a planetary particulate disk is called a "ring", not a disk. """ mutable struct ring # α::Float64 # Δx::Float64 # Δt::Float64 # xi, xf ::Float64 N::Integer β::Float64 ΔtMAX::Float64 # Defined on nodes: X_::Array{Float64,1} ΔX_::Array{Float64,1} U_::Array{Float64,1} # Defined on cells: x_::Array{Float64,1} σ_::Array{Float64,1} Gᵐ::Any # Tridiagonal # μ_::Array{Float64,1} # νᵐ::Any end function ring(N=5;β=0,xf=3.0,xi=0.01)#10*xf/N) xtemp_ = collect(range(xi,xf,length=N+1)) X_ = xtemp_[2:end] U_ = 1.0 ./ X_.^4 ΔX_ = diff(xtemp_) x_ = 0.5*(xtemp_[1:end-1]+xtemp_[2:end]) # midpoints σ_ = ones(N) νᵐ = visco(σ_,β) Mᵐ = Diagonal(ΔX_) Mⁱᵐ= Diagonal(1.0./ΔX_) Kdiag = [1.0 ./ diff(x_)..., 0.0] Ksuper = -Kdiag[1:end-1] Ksub = zeros(N-1) Kᵐ = Tridiagonal(Ksub,Kdiag,Ksuper) Dᵐ = Tridiagonal(ones(N-1),-ones(N),zeros(N-1)) Gᵐ = 3 * Dᵐ * Kᵐ * νᵐ μ_ = Mᵐ * σ_ # mass (per azimuthal length) in annulus ΔtVN = 0.5 * minimum(diff(X_).^2 ./ diag(νᵐ)[1:end-1] ) ΔtADV = minimum(ΔX_ ./ U_) ΔtMAX = min(ΔtVN,ΔtADV) return ring(N,β,ΔtMAX,X_,ΔX_,U_,x_,σ_,Gᵐ)#,μ_) end function adjust!(r::ring) νᵐ = visco(r.σ_,r.β) Kdiag = [1.0 ./ diff(r.x_)..., 0.0] Ksuper = -Kdiag[1:end-1] Ksub = zeros(r.N-1) Kᵐ = Tridiagonal(Ksub,Kdiag,Ksuper) Dᵐ = Tridiagonal(ones(r.N-1),-ones(r.N),zeros(r.N-1)) Gᵐ = 3 * Dᵐ * Kᵐ * νᵐ r.Gᵐ = Gᵐ end function advect!(r::ring;Δt=r.ΔtMAX) σ = r.σ_; U = r.U_;; ΔX = r.ΔX_ σ[2:end] += Δt .* (σ[1:end-1] .* U[1:end-1] ./ ΔX[2:end] ) σ[1:end] -= Δt .* (σ[1:end] .* U[1:end] ./ ΔX[1:end] ) end function diffuse!(r::ring;Δt=r.ΔtMAX,α=0.5) Gᵐ = r.Gᵐ N = r.N Aᵐ = I(N) - α * Δt * Gᵐ Bᵐ = I(N) + (1-α) * Δt * Gᵐ # Solve: r.σ_ = Aᵐ \ (Bᵐ * r.σ_) # r.σ_[1] = 0.0 r.σ_[end] = 1.0 end function iterate!(r::ring;Δt=r.ΔtMAX,α=0.5) adjust!(r) diffuse!(r;Δt=Δt,α=α) advect!(r;Δt=Δt) end end#module
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1.706203
1,467
let x = zeros(150, 150) carts = [] mutable struct Cart dir::Int coord::Tuple{Int, Int} offset::Tuple{Int, Int} end #9 d = Dict('^' => (0,1), 'v' => (0,-1), '<' => (-1,0), '>' => (1,0)) mdirs = [(x, y) -> (y, -x), (x, y) -> (x, y), (x, y) -> (-y, x)] for (j, line) in eachline("day13.e") |> enumerate for (i, val) in split(line, "") |> enumerate val[1] in ['/' '\\' '+' '-' '|'] && (x[i,j] = 1) val[1] in ['^' 'v' '<' '>'] && push!(carts, Cart(3, (i, j), d[val[1]])) end end; while true; sort!(carts, by = x -> x.coord[2]) for c in carts; @info c hasint = sum(x[max(1, c.coord[1] - 1): min(150, c.coord[1] + 1), max(1, c.coord[2] - 1): min(150, c.coord[2] + 1)]) > 3 if hasint c.dir += 1; c.dir > 3 && (c.dir = 1) c.offset = mdirs[c.dir](c.offset...) else nc = c.coord .+ c.offset; if any(nc .> 150) || any(nc .< 1) || x[nc...] == 0; @info "here" for (z, i) in enumerate(mdirs); ncc = c.coord .+ i(c.offset...); (any(ncc .> 150) || any(ncc .< 1)) && continue x[ncc...] == 1 && (c.offset = i(c.offset...)) end end end c.coord = c.coord .+ c.offset for cc in carts all(c.coord .== cc.coord) && c.offset != cc.offset && error(c.coord) end end end end
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1.794969
795
export permanent """ permanent(A) Compute the permanent of the square matrix `A`. Works best if `A` is relatively sparse. For a dense matrix, this will be slow. """ function permanent(A::Matrix{T}) where {T<:Number} r, c = size(A) if r != c error("Matrix must be square") end if r == 0 return zero(T) end allow = [findall((x) -> x != 0, A[i, :]) for i = 1:r] PG = PermGen(allow) try first(PG) # make sure PG is not empty return sum(prod(A[i, p[i]] for i = 1:r) for p in PG) catch return zero(T) end end
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2.290698
258
############################################################################# #Copyright (c) 2016 Charles Le Losq # #The MIT License (MIT) # #Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the #Software without restriction, including without limitation the rights to use, copy, #modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, #and to permit persons to whom the Software is furnished to do so, subject to the #following conditions: # #The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. # #THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, #INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. # ############################################################################# function rameau(paths::Tuple,switches::Tuple;input_properties=('\t',0),prediction_coef=[0.0059;0.0005],temperature=23.0,laser=532.0,lb_break=1600.,hb_start=2600.,basetype="gcvspline") # some function definition calibration_model(x, p) = p[1].*x baseline_lfmodel(x, p) = p[1].*x + p[2].*x.^2 + p[3].*x.^3 if switches[1] == "internal" scale = 1 liste=readcsv(paths[1], skipstart=1) names = liste[:,1] water = Array{Float64}(liste[:,3]) smo_lf = Array{Float64}(liste[:,4]) smo_hf = Array{Float64}(liste[:,5]) roi = ones(Int((size(liste,2)-5)/2),2,size(liste,1)) for j = 1:size(liste,1) roi[:,1,j] = (liste[j,6:2:end]) roi[:,2,j] = (liste[j,7:2:end]) end rws = ones(size(liste,1),3) for i = 1:size(liste,1) spectra = readdlm(string(paths[2],names[i]),input_properties[1],skipstart=input_properties[2]) if spectra[end,1] < spectra[1,1] spectra = flipdim(spectra,1) end x = spectra[:,1] spectra[:,2] = spectra[:,2] - minimum(spectra[:,2]) y = spectra[:,2]./maximum(spectra[:,2]).*scale + 0.1# area normalisation, and we avoid any 0 ratio_bkg = minimum(y)/maximum(y) # to keep a record of the ratio of maximum signal intensity over minimum background intensity #### PRELIMINARY STEP: FIRST WE GRAB THE GOOD SIGNAL IN THE ROI interest_index::Array{Int64} = find(roi[1,1,i] .<= x[:,1] .<= roi[1,2,i]) if size(roi)[1] > 1 for j = 2:size(roi)[1] interest_index = vcat(interest_index, find(roi[j,1,i] .<= x[:,1] .<= roi[j,2,i])) end end interest_x = x[interest_index,1] interest_y = y[interest_index,1] if switches[3] == "yes" # if user asks for the experimental baseline if switches[4] == "yes" x, y_long, ~ = tlcorrection([x[:] y[:]],temperature,laser) # Long correction y_long=y_long./maximum(y_long).*scale ### THE FOLLOWING IS PURELY EXPERIMENTAL lb = roi[:,1,i] hb = roi[:,2,i] roi_hf = [lb[hb.>hb_start] hb[hb.>hb_start]] roi_lf = [lb[hb.<lb_break] hb[hb.<lb_break]] y_hf = y_long[x.>hb_start] y_lf = y_long[x.<lb_break] # A first linear baseline in signals between ~1300 and ~ 2000 cm-1 #y_calc_hf, baseline_hf = baseline(x,y_long,[2600. 3100.;3775. 3900.],"gcvspline",p=smo_hf[i]) #y_calc_hf, baseline_hf = baseline(x,y_long,[roi_hf[end-1,1] roi_hf[end-1,2];roi_hf[end,1] roi_hf[end,2]],"poly",p=3.0) y_calc_hf, baseline_hf = baseline(x,y_long,[3000. 3100;3750. 3800.],"poly",p=1.0) x_fit = [x[0 .< x .< 150];x[1250. .< x .< 1500]] y_fit = [y_long[0 .< x .< 150];y_long[1250. .< x .< 1500.]] #sss = size(x_fit,1) #mod = Model(solver=IpoptSolver()) #@variable(mod, k1 >= 0.0,start=1.0) #@variable(mod, k2 >= 0.0, start = 1.0) #@NLexpression(mod, base[k=1:sss],k1*x_fit[k] + k2*x_fit[k]*x_fit[k]) #@NLobjective(mod,Min,sum{(base[k] - y_fit[k])^2,k=sss}) #status = solve(mod) #p1 = getvalue(k1) #p2 = getvalue(k2) #fit_bas = curve_fit(baseline_lfmodel, , [y_long[0 .< x .< 100];y_long[1250. .< x .< 1500.]], [0.5,0.5,0.5]) #coef_bas = fit_bas.param #baseline_lf = baseline_lfmodel(x,[p1;p2]) #y_calc_lf = y_long - baseline_lf y_calc_lf, baseline_lf = baseline(x,y_long,[0. 150;1250. 1600.],"poly",p=3.0) #y_calc_lf, baseline_lf = baseline(x,y_long,roi[:,:,i],basetype,p=smo_lf[i]) y_calc2 = [y_calc_lf[x.<=1600.];y_calc_hf[x.>1600.]] bas2 = [baseline_lf[x.<=1600.];baseline_hf[x.>1600.]] #y_calc2 = y_calc2[:,1]./trapz(x[:],y_calc2[:,1]).*scale # area normalisation figure(figsize=(20,20)) suptitle("Baseline sub. with Long corr., sp. $(names[i])") subplot(3,2,(1,2)) plot(x,y,"black",label="Raw sp.") plot(x,y_long,"blue",label="Long corr. sp.") scatter(interest_x,y_long[interest_index,1],s=10.,color="red",label="ROI") # the ROI signals after first baseline and long correction plot(x,bas2,"red",label="Baseline") legend(loc="best",fancybox="true") subplot(3,2,3) plot(x[x.<1500],y_long[x.<1500],"blue",label="Long corr. sp.") scatter(interest_x[interest_x.<1500],y_long[interest_index[interest_x.<1500],1],s=10.,color="red",label="ROI") # the ROI signals after first baseline and long correction plot(x[x.<1500],bas2[x.<1500],"red",label="Baseline") xlim(0,1500) legend(loc="best",fancybox="true") subplot(3,2,4) plot(x[x.>2800],y_long[x.>2800],"blue",label="Long corr. sp.") scatter(interest_x[interest_x.>2800],y_long[interest_index[interest_x.>2800],1],s=10.,color="red",label="ROI") # the ROI signals after first baseline and long correction plot(x[x.>2800],bas2[x.>2800],"red",label="Baseline") xlim(2800,4000) legend(loc="best",fancybox="true") subplot(3,2,(5,6)) plot(x,y_calc2,"cyan",label="Final sp.") xlabel(L"Raman shift, cm$^{-1}$") ylabel("Intensity, area normalised") legend(loc="best",fancybox="true") else # ALSO FULLY EXPERIMENTAL!!!! IT DOES NOT WORK! y_hf = y[x.>hb_start] y_lf = y[x.<lb_break] # A first linear baseline in signals between ~1300 and ~ 2000 cm-1 y_calc_hf, baseline_hf = baseline(x,y,[2600. 2900.;3775. 3900.],"poly",p=3.0) #A first linear baseline in signals between ~1300 and ~ 2000 cm-1 y_calc1_part1, baseline1 = baseline(x,y,[1300 1800.],"poly",p=1.0) # we get a mean signal for background below 1300 cm-1 X_low_lf = x[y .== minimum(y[100 .<x.<1400])] b_low_lf = mean(y[X_low_lf[1]-10 .< x .< X_low_lf[1]+10]) baseline1[x.<1250.] = b_low_lf y_calc1_part1 = y - baseline1 bas2 = [baseline1[x.<lb_break];baseline_hf[x.>lb_break]] y_calc2 = [y_calc1_part1[x.<lb_break];y_calc_hf[x.>lb_break]] figure() plot(x,y,color="black") plot(x,baseline_hf,color="red") plot(x,y_calc2,color="blue") end else # only a single baseline treatment is asked # we test if thre Long correction is asked, and react accordingly for baseline substraction if switches[4] == "yes" x, y_long, ~ = tlcorrection([x[:] y[:]],temperature,laser) # Long correction y_long=y_long./maximum(y_long).*scale y_calc2, bas2 = baseline(x,y_long,roi[:,:,i],basetype,p=smo_lf[i]) y_calc2 = y_calc2[:,1]./trapz(x[:],y_calc2[:,1]).*(scale./10) # area normalisation figure(figsize=(20,20)) suptitle("LL2012 method, sp. $(names[i])") subplot(3,2,(1,2)) plot(x,y,"black",label="Raw sp.") plot(x,y_long,"blue",label="Long corr. sp.") scatter(interest_x,y_long[interest_index,1],s=10.,color="red",label="ROI") # the ROI signals after first baseline and long correction plot(x,bas2,"red",label="Baseline") legend(loc="best",fancybox="true") xlabel(L"Raman shift, cm$^{-1}$",fontsize=18,fontname="Arial") ylabel("Intensity,a. u.",fontsize=18,fontname="Arial") subplot(3,2,3) plot(x[x.<1500],y_long[x.<1500],"blue",label="Long corr. sp.") scatter(interest_x[interest_x.<1500],y_long[interest_index[interest_x.<1500],1],s=10.,color="red",label="ROI") # the ROI signals after first baseline and long correction plot(x[x.<1500],bas2[x.<1500],"red",label="Baseline") xlim(0,1500) legend(loc="best",fancybox="true") xlabel(L"Raman shift, cm$^{-1}$",fontsize=18,fontname="Arial") ylabel("Intensity,a. u.",fontsize=18,fontname="Arial") subplot(3,2,4) plot(x[x.>2800],y_long[x.>2800],"blue",label="Long corr. sp.") scatter(interest_x[interest_x.>2800],y_long[interest_index[interest_x.>2800],1],s=10.,color="red",label="ROI") # the ROI signals after first baseline and long correction plot(x[x.>2800],bas2[x.>2800],"red",label="Baseline") xlim(2600,4000) legend(loc="best",fancybox="true") xlabel(L"Raman shift, cm$^{-1}$",fontsize=18,fontname="Arial") ylabel("Intensity,a. u.",fontsize=18,fontname="Arial") subplot(3,2,(5,6)) plot(x,y_calc2,"cyan",label="Final sp.") xlabel(L"Raman shift, cm$^{-1}$") ylabel("Intensity, area normalised") legend(loc="best",fancybox="true") xlabel(L"Raman shift, cm$^{-1}$",fontsize=18,fontname="Arial") ylabel("Intensity,a. u.",fontsize=18,fontname="Arial") else y_calc2, bas2 = baseline(x,y,roi[:,:,i],basetype,p=smo_lf[i]) y_calc2 = y_calc2[:,1]./trapz(x[:],y_calc2[:,1]).*scale # area normalisation figure() plot(x,y.*10,"black",label="Raw sp.") scatter(interest_x,interest_y.*10,s=10.,color="red",label="ROI") plot(x,bas2.*10,"red",label="Baseline") plot(x,y_calc2,"cyan",label="Final sp.") xlabel(L"Raman shift, cm$^{-1}$") ylabel("Intensity, area normalised") title("Baseline sub., NO Long corr.") legend(loc="best",fancybox="true") end end # saving the corrected spectrum writecsv(string(paths[3],names[i]),[x y_calc2 bas2]) #Saving the generated figure (specified directory should exist) savefig(string(paths[4],"baseline_",names[i],".pdf")) close() if switches[3] == "yes" # calc=ulating the areas under silicate and water bands if switches[4] == "yes" As = (trapz(x[150 .<x.<600],y_calc2[150 .<x.<600])+trapz(x[1000 .<x.<1250],y_calc2[1000 .<x.<1250])) Aw = trapz(x[3100 .< x .<3750],y_calc2[3100 .< x .<3750]) else #idx1a = find(y[400 .<x.<600] .== maximum(y[400 .<x.<600])) #idx1b = find(y[600 .<x.<1000] .== minimum(y[600 .<x.<1000])) #idx2a = find( y[900 .<x.<1250] .== maximum(y[900 .<x.<1250])) #idx2b = find( y[1000 .<x.<1250] .== minimum(y[1000 .<x.<1250])) #idx3a = find( y[3000 .<x.<3700] .== maximum(y[3000 .<x.<3700])) #idx3b = find( y[3700 .<x.<3800] .== minimum(y[3700 .<x.<3800])) #As = mean(y[(idx1a[1]-4):(idx1a[1]+4),1]) - mean(y[(idx1b[1]-4):(idx1b[1]+4),1]) + mean(y[(idx2a[1]-4):(idx2a[1]+4),1]) - mean(y[(idx2b[1]-4):(idx2b[1]+4),1]) #Aw = mean(y[idx3a[1]-4 : idx3a[1]+4,1]) - mean(y[idx3b[1]-4 : idx3b[1]+4,1]) As = maximum(y[400 .<x.<600]) - minimum(y[600 .<x.<1000]) + maximum(y[900 .<x.<1250]) - minimum(y[1000 .<x.<1250]) Aw = maximum(y[3000 .<x.<3700]) - minimum(y[3700 .<x.<3800]) end else # calc=ulating the areas under silicate and water bands As = trapz(x[150 .< x .<1300],y_calc2[150 .< x .<1300]) Aw = trapz(x[2800 .< x .<3750],y_calc2[2800 .< x .<3750]) end # recording them rws[i,1] = As; rws[i,2] = Aw; rws[i,3] = Aw./(As); println("Spectrum $(names[i]), the rws is $(rws[i,3])") end if switches[2] == "yes" fit = curve_fit(calibration_model, rws[:,3], water[:]./(100.-water[:]), [0.5]) coef = fit.param sigma = estimate_errors(fit, 0.95) rws_calibration = collect(0:0.01:round(maximum(rws[:,3]),2)) water_ratio_calibration = calibration_model(rws_calibration,coef) water_compare = 100.*calibration_model(rws[:,3],coef)./(calibration_model(rws[:,3],coef)+1) # eq. 3 Le Losq et al. (2012) rmse_calibration = sqrt(1./(size(rws,1)-1).*sum((water_compare-water).^2)) rmse_ratio_ws = rmse_calibration/100*(rmse_calibration/(100-rmse_calibration)+1) figure() scatter(rws[:,3],water[:]./(100.-water[:])) plot(rws_calibration,water_ratio_calibration,color="red",linewidth=2.0) plot(rws_calibration,water_ratio_calibration+rmse_ratio_ws,color="red",linestyle="--",linewidth=1.0) plot(rws_calibration,water_ratio_calibration-rmse_ratio_ws,color="red",linestyle="--",linewidth=1.0) plot(rws_calibration,water_ratio_calibration,color="red") xlim(0,maximum(rws_calibration)+1./4*maximum(rws_calibration)) ylim(0,maximum(water_ratio_calibration)+1./4*maximum(water_ratio_calibration)) xlabel(L"A$_{water}$/A$_{silicates}$, area ratio",fontsize=18,fontname="Arial") ylabel("Water/Glass, weight ratio",fontsize=18,fontname="Arial") annotate(L"R$_{ws}$=",xy=(0.3,0.9),xycoords="axes fraction",fontsize=18,fontname="Arial",horizontalalignment="center") annotate("$(round(coef[1],5)) +/- $(round(sigma[1],5))",xy=(0.3,0.8),xycoords="axes fraction",fontsize=18,fontname="Arial",horizontalalignment="center") annotate("Standard deviation\n= $(round(rmse_calibration,2)) wt%",xy=(0.7,0.3),xycoords="axes fraction",horizontalalignment="center",fontsize=18,fontname="Arial") savefig(paths[6]) writecsv(string(paths[5]), ["spectrum" "product" "Rws" "Water input" "Water Raman";liste[:,1] liste[:,2] rws[:,3] water water_compare]) #return [rws[:,3] water water_compare] else water_predicted = 100.*(rws[:,3].*prediction_coef[1]./(rws[:,3].*prediction_coef[1]+1)) water_predicted_high = 100.*(rws[:,3].*sum(prediction_coef)./(rws[:,3].*sum(prediction_coef)+1)) writecsv(string(paths[5]), ["spectrum" "product" "Rws" "Water Raman" "Error";liste[:,1] liste[:,2] rws[:,3] water_predicted water_predicted_high-water_predicted]) #return [rws[:,3] water_predicted] end elseif switches[1] == "external" liste=readcsv(paths[1], skipstart=1) reference = liste[:,1] # reference product names are in first column for record reference_density = liste[:,3] reference_water = liste[:,4] sample = liste[:,5] # sample product names are in column 6 for record sample_density = liste[:,7] water = ones(size(liste,1),1) # the array to record water content for i = 1:size(liste,1) #importing data reference_sp = readdlm(string(paths[2],reference[i]),input_properties[1],skipstart=input_properties[2]) sample_sp = readdlm(string(paths[2],sample[i]),input_properties[1],skipstart=input_properties[2]) if reference_sp[end,1] < reference_sp[1,1] reference_sp = flipdim(reference_sp,1) end if sample_sp[end,1] < sample_sp[1,1] sample_sp = flipdim(sample_sp,1) end # temperature - excitation line correction with the Hehlen formula x_ref, reference_sp_long, ~ = tlcorrection(reference_sp,temperature,laser,correction="hehlen",normalisation="no",density=reference_density[i]) x_sp, sample_sp_long, ~ = tlcorrection(sample_sp,temperature,laser,correction="hehlen",normalisation="no",density=sample_density[i]) # Linear baseline subtraction roi_hf = [3000. 3100.; 3800. 3900.] # the region where the basline is constrained reference_sp_corr2, reference_baseline = baseline(x_ref,reference_sp_long,roi_hf,"poly",p=1.0) sample_sp_corr2, sample_baseline = baseline(x_sp,sample_sp_long,roi_hf,"poly",p=1.0) # Area calculation between 3100 and 3800 cm-1 Area_reference = trapz(x_ref[3100. .<x_ref[:,1].<3800.],reference_sp_corr2[3100. .<x_ref[:,1].<3800.]) Area_sample = trapz(x_sp[3100. .<x_sp[:,1].<3800.],sample_sp_corr2[3100. .<x_sp[:,1].<3800.]) # With the intensity Intensity_reference = maximum(reference_sp_corr2[3100. .<x_ref[:,1].<3800]) Intensity_sample = maximum(sample_sp_corr2[3100. .<x_ref[:,1].<3800]) # Water calculation water[i] = (reference_water[i]./1.8*reference_density[i]) .*Area_sample./Area_reference # water is in mol/L #water[i] = (reference_water[i]./1.8*reference_density[i]) .*Intensity_sample./Intensity_reference # water is in mol/L water[i] = water[i] *1.8./sample_density[i] # water converted in wt% figure(figsize=(7.5,15)) subplot(311) title("External calibration: $(round(water[i],2)) wt% water,\n sp. $(sample[i]) with ref. $(reference[i]) ") plot(reference_sp[:,1],reference_sp[:,2],color="black",label="Reference") plot(sample_sp[:,1],sample_sp[:,2],color="blue",label="Sample") xlabel(L"Raman shift, cm$^{-1}$",fontsize=18,fontname="Arial") legend(loc="best",frameon=false) subplot(312) plot(x_ref[:],reference_sp_long[:],color="black",label=L"T-$\nu$ corrected reference") plot(x_ref[:],reference_baseline,color="grey",label="Reference baseline") plot(x_sp[:],sample_sp_long[:],color="blue",label=L"T-$\nu$ corrected sample") plot(x_sp[:],sample_baseline,color="cyan",label="Sample baseline") xlabel(L"Raman shift, cm$^{-1}$",fontsize=18,fontname="Arial") ylabel("Normalized intensity, a. u.",fontsize=18,fontname="Arial") legend(loc="best",frameon=false) subplot(313) plot(x_ref,reference_sp_corr2,color="black",label="Ref. spectrum") plot(x_sp,sample_sp_corr2,color="blue",label="Sample spectrum") xlabel(L"Raman shift, cm$^{-1}$",fontsize=18,fontname="Arial") legend(loc="best",frameon=false) tight_layout() # saving the water content writecsv(string(paths[5]), ["Spectrum" "Sample Name" "Estimated water content";liste[:,5] liste[:,6] water]) #Saving the generated figure (specified directory should exist) savefig(string(paths[4],"Internal_Std_",sample[i],".pdf")) end else # or error message error("the first switch indicates if you want to use an internal or external calibration mode. Please choose between both.") end end
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2.141722
8,559
using NPZ using JuMP using Ipopt using LinearAlgebra using .Threads using WoodburyMatrices using Statistics using UnicodePlots function main(B) X1 = npzread("Kernels/G1.npy") X2 = npzread("Kernels/G2.npy") X3 = npzread("Kernels/G3.npy") nfactor = npzread("Testing/nfactor.npy") n = size(X3, 1) ndas = size(X1, 1) T = Float64 ϵ = 1.0 λ = 100.0 α = 100.0 X = [X3 zeros(T, size(X3)); zeros(T, size(X3)) X3; nfactor*X1 nfactor*X2] Xn = maximum(sqrt.(sum(X.^2, dims=2))) #Xn = sqrt.(sum(X.^2, dims=2)) #normalize all rows to be 1? X ./= Xn v, V = eigen(X'*X + ϵ*I) #eigtol = 5#quantile(v, 0.99) n_eigs = 5#sum(v.>=eigtol) Γ = V[:, (end-n_eigs+1):end] μ_init = ones(n) ./ n .* B μn = sum(μ_init)/B μ_init ./= μn U_init = copy(Γ) function Ml(μ, X, ϵ) M = ϵ*I + X'*Diagonal(μ)*X Mc = cholesky(Hermitian(M)) return (M, Mc) end Ml(μ) = Ml(μ, X, ϵ) function subproblem_sμ(μ_init, u, X, λ, B, maxiter=1000) function f(μ, u, λ) M, Mc = Ml(μ) return -logdet(M) + λ*tr(u'*(Mc\u)) end f(μ) = f(μ, u, λ) jump_wrapper_f(x...) = f(vcat([x[i] for i in 1:length(x)], [x[i] for i in 1:length(x)], ones(T, ndas))) function gi(i, Mc, μ, u, λ) ld_term = @views -X[i,:]'*(Mc\X[i,:]) tmp_A = SymWoodbury(Mc, X[i,:], -μ[i]) tmp_b = @views tmp_A \ X[i,:] #tmp_1 = (u'*tmp_b)^2 tmp_1 = sum((u'*tmp_b).^2) # think that this should be correct for tr(U'MU) for matrix U but need to check tmp_d = @views X[i,:]'*tmp_b tmp_den = (1+μ[i]*tmp_d)^2 eig_term = ((1+μ[i]*tmp_d)*tmp_1 - μ[i]*tmp_1*tmp_d) / tmp_den return ld_term - λ*eig_term #apparently need a -ve sign here, work out why end function g!(gvec, μ, X, u, λ, n) M, Mc = Ml(μ) @threads for i = 1:n g1 = gi(i, Mc, μ, u, λ) # in respect to x component g2 = gi(i+n, Mc, μ, u, λ) # in respect to y component gvec[i] = g1 + g2 end end g!(gvec, μ) = g!(gvec, μ, X, u, λ, n) jump_wrapper_g!(gvec, x...) = g!(gvec, vcat([x[i] for i in 1:length(x)], [x[i] for i in 1:length(x)], ones(T, ndas))) model = Model(optimizer_with_attributes(Ipopt.Optimizer, "max_iter"=>maxiter, "tol"=>1e-4/B)) JuMP.register(model, :f, n, jump_wrapper_f, jump_wrapper_g!) @variable(model, 0.0<=x[1:n]<= 1.0) set_start_value.(x, μ_init) @NLconstraint(model, +(x...) <= B) @NLobjective(model, Min, f(x...)) optimize!(model) return (value.(x), vcat(value.(x), value.(x), ones(T, ndas)), objective_value(model)) end function subproblem_sO(u_init, μ, γ, X, λ, α, maxiter=1000) _, Mc = Ml(μ) f(u) = α*sum((u.-γ).^2) + λ*tr(u'*(Mc\u)) function g!(gvec, u) gvec .= 2*α*(u-γ) + 2*λ*(Mc\u) end jump_wrapper_f(x...) = f([x[i] for i in 1:length(x)]) jump_wrapper_g!(gvec, x...) = g!(gvec, [x[i] for i in 1:length(x)]) sumsquares(x...) = sum(x[i]^2 for i in 1:length(x)) function sumsquares_grad!(gvec, x...) for i in 1:length(x) gvec[i] = 2*x[i] end end model = Model(optimizer_with_attributes(Ipopt.Optimizer, "max_iter"=>maxiter)) JuMP.register(model, :f, length(γ), jump_wrapper_f, jump_wrapper_g!) JuMP.register(model, :sumsquares, length(γ), sumsquares, sumsquares_grad!) @variable(model, x[1:length(γ)]) set_start_value.(x, u_init) @NLconstraint(model, sumsquares(x...) == 1) @NLobjective(model, Min, f(x...)) optimize!(model) return (value.(x), objective_value(model)) end function subproblem_sO(U_init, μ, Γ, X, λ, α, m, n, maxiter=1000) _, Mc = Ml(μ) f(U) = α*sum((U.-Γ).^2) + λ*tr(U'*(Mc\U)) function g!(gvec, U, m, n) @threads for i = 1:n @views gvec[((i-1)*m+1):i*m] .= 2*α*(U[1:m, i].-Γ[1:m, i]) .+ 2*λ*(Mc\U[1:m, i]) end end L = LinearIndices((m, n)) jump_wrapper_f(x...) = f([x[L[i,j]] for i in 1:m, j in 1:n]) jump_wrapper_g!(gvec, x...) = g!(gvec, [x[L[i,j]] for i in 1:m, j in 1:n], m, n) sumprod(x...) = sum(x[i]*x[i+m] for i in 1:m) function sumprod_grad!(gvec, x...) for i in 1:m gvec[i] = x[i+m] gvec[i+m] = x[i] end end model = Model(optimizer_with_attributes(Ipopt.Optimizer, "max_iter"=>maxiter)) JuMP.register(model, :f, m*n, jump_wrapper_f, jump_wrapper_g!) JuMP.register(model, :sumprod, 2*m, sumprod, sumprod_grad!) @variable(model, x[1:m, 1:n]) set_start_value.(x, U_init) for i = 1:n for j = i:n x_i = x[1:m, i] x_j = x[1:m, j] @NLconstraint(model, sumprod(x_i..., x_j...) == ((i==j) ? 1 : 0)) end end @NLobjective(model, Min, f(x...)) optimize!(model) return (value.(x), objective_value(model)) # want to have all of the x here as a matrix end function optimize_spectral(μ_init, u_init, iters, γ, X, λ, α, B) μ = copy(μ_init) u = copy(u_init) ob1l = Float64[] ob2l = Float64[] for iter in 1:iters μ, μl, ob1 = subproblem_sμ(μ, u, X, λ, B) u, ob2 = subproblem_sO(u, μl, γ, X, λ, α) push!(ob1l, ob1) push!(ob2l, ob2) end μ, μl, ob1 = subproblem_sμ(μ, u, X, λ, B) push!(ob1l, ob1) return (μ, u, ob1l, ob2l) end function optimize_spectral(μ_init, U_init, iters, Γ, X, λ, α, B, m, n) μ = copy(μ_init) U = copy(U_init) ob1l = Float64[] ob2l = Float64[] for iter in 1:iters μ, μl, ob1 = subproblem_sμ(μ, U, X, λ, B) U, ob2 = subproblem_sO(U, μl, Γ, X, λ, α, m, n) push!(ob1l, ob1) push!(ob2l, ob2) end μ, μl, ob1 = subproblem_sμ(μ, U, X, λ, B) push!(ob1l, ob1) return (μ, U, ob1l, ob2l) end μ, U_res, ob1l, ob2l = optimize_spectral(μ_init, U_init, 5, Γ, X, λ, α, B, size(Γ)...) M, _ = Ml(vcat(μ,μ, ones(ndas))) vμ, Vμ = eigen(M) npzwrite("SpectralResults/res_spectral_$B.npy", μ) lineplot(ob1l) lineplot(ob2l) end for i in [4,8,16,32,64,128,256] main(i) end #yeh
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1.677277
4,084
using OED using jInv.Utils using jInv.ForwardShare using Base.Test using jInv.Mesh n = 100 nrhs = 5 A = sdiag(1./linspace(1,n,n).^4) A = A[1:2:end,:] N = size(A,1) x = rand(n,nrhs); x[4:7,:] = 1; D = A*x + 1e-8* randn(N,nrhs)/1e3 OEDparamA = OEDTypeAParam(A,D,zeros(0,0)) # setup OED type B param r = 20; l = 2; Mimg = getRegularMesh([-1 1 -1 1.],[10,10]) Mgrid = getRegularMesh([-1.2 2.4 -1.6 1.4],[20,20]) OEDparamB = getOEDTypeBParam(r,l,x,Mimg,Mgrid,noiseLevel=0.) OEDparamC = getOEDTypeCParam(r,l,x,Mimg,Mgrid,noiseLevel=0.) L = 1e-1*speye(n) pForA = UnconstrainedOEDParam(OEDparamA,L,[],[]) pForB = UnconstrainedOEDParam(OEDparamB,L,[],[]) pForC = UnconstrainedOEDParam(OEDparamC,0*L,[],[]) pFors = (pForA,pForB,pForC) println("\n\t---test OED with unconstrained lower-level problem---") for k=1:3 display(pFors[k]) np = getNumberOfDesignParameters(pFors[k].Design) p0 = rand(np) println("\t\tcheck reconstruction") xr, = getData(p0,pFors[k]) println("\t\t\trel.error: $(norm(xr-x)/norm(x))") print("\t\tcheckDerivative...") pass, = checkDerivative(p0,pFors[k]) @test pass print("passed!\n") print("\t\tadjoint test...") (nw,nv) = getSensMatSize(pFors[k]) w = rand(nw) v = rand(nv) t1 = dot(w,getSensMatVec(v,p0,pFors[k])) t2 = dot(v,getSensTMatVec(w,p0,pFors[k])) @test norm(t1-t2)/norm(t1)<1e-10 print("passed!\n") end println("\t---least squares IP: sensitivities OK ---")
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1.981894
718
This is the JLL package corresponding to the `ReSHOP.jl` Julia package. The Julia code is based on the one produced by `BinaryBuilder.jl` and has been manually edited.
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3.755556
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using Persa using Test using DatasetsCF using ModelBasedCF dataset = DatasetsCF.MovieLens() @testset "Random Model Tests" begin model = ModelBasedCF.RandomModel(dataset) Persa.train!(model, dataset) @test !isnan(model[1,1]) end @testset "Factorization Matrix Models Tests" begin @testset "Baseline Tests" begin model = ModelBasedCF.Baseline(dataset) Persa.train!(model, dataset, max_epochs = 1) @test !isnan(model[1,1]) end @testset "RSVD Tests" begin model = ModelBasedCF.RSVD(dataset, 1) Persa.train!(model, dataset, max_epochs = 1) @test !isnan(model[1,1]) end @testset "IRSVD Tests" begin model = ModelBasedCF.IRSVD(dataset, 1) Persa.train!(model, dataset, max_epochs = 1) @test !isnan(model[1,1]) end end
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2.247283
368
using DiskArrays using DiskArrays: ReshapedDiskArray, PermutedDiskArray using Test #Define a data structure that can be used for testing struct _DiskArray{T,N,A<:AbstractArray{T,N}} <: AbstractDiskArray{T,N} getindex_count::Ref{Int} setindex_count::Ref{Int} parent::A chunksize::NTuple{N,Int} end _DiskArray(a;chunksize=size(a)) = _DiskArray(Ref(0),Ref(0),a,chunksize) Base.size(a::_DiskArray) = size(a.parent) DiskArrays.haschunks(::_DiskArray) = DiskArrays.Chunked() DiskArrays.eachchunk(a::_DiskArray) = DiskArrays.GridChunks(a,a.chunksize) getindex_count(a::_DiskArray) = a.getindex_count[] setindex_count(a::_DiskArray) = a.setindex_count[] trueparent(a::_DiskArray) = a.parent getindex_count(a::ReshapedDiskArray) = getindex_count(a.parent) setindex_count(a::ReshapedDiskArray) = setindex_count(a.parent) trueparent(a::ReshapedDiskArray) = trueparent(a.parent) getindex_count(a::PermutedDiskArray) = getindex_count(a.a.parent) setindex_count(a::PermutedDiskArray) = setindex_count(a.a.parent) trueparent(a::PermutedDiskArray{T,N,<:PermutedDimsArray{T,N,perm,iperm}}) where {T,N,perm,iperm} = permutedims(trueparent(a.a.parent),perm) function DiskArrays.readblock!(a::_DiskArray,aout,i::AbstractUnitRange...) ndims(a) == length(i) || error("Number of indices is not correct") all(r->isa(r,AbstractUnitRange),i) || error("Not all indices are unit ranges") #println("reading from indices ", join(string.(i)," ")) a.getindex_count[] += 1 aout .= a.parent[i...] end function DiskArrays.writeblock!(a::_DiskArray,v,i::AbstractUnitRange...) ndims(a) == length(i) || error("Number of indices is not correct") all(r->isa(r,AbstractUnitRange),i) || error("Not all indices are unit ranges") #println("Writing to indices ", join(string.(i)," ")) a.setindex_count[] += 1 view(a.parent,i...) .= v end function test_getindex(a) @test a[2,3,1] == 10 @test a[2,3] == 10 @test a[2,3,1,1] == 10 @test a[:,1] == [1, 2, 3, 4] @test a[1:2, 1:2,1,1] == [1 5; 2 6] @test a[2:2:4,1:2:5] == [2 10 18; 4 12 20] @test a[end:-1:1,1,1] == [4,3,2,1] @test a[[1,3,4],[1,3],1] == [1 9; 3 11; 4 12] # Test bitmask indexing m = falses(4,5,1) m[2,:,1] .= true @test a[m] == [2,6,10,14,18] # Test linear indexing @test a[11:15] == 11:15 @test a[20:-1:9] == 20:-1:9 @test a[[3, 5, 8]] == [3, 5, 8] @test a[2:4:14] == [2,6,10,14] #Test that readblock was called exactly onces for every getindex @test getindex_count(a) == 13 end function test_setindex(a) a[1,1,1] = 1 a[1,2] = 2 a[1,3,1,1] = 3 a[2,:] = [1, 2, 3, 4, 5] a[3, 3:4,1,1] = [3,4] # Test bitmask indexing m = falses(4,5,1) m[4,:,1] .= true a[m] = [10,11,12,13,14] #Test that readblock was called exactly onces for every getindex @test setindex_count(a) == 6 @test trueparent(a)[1,1:3,1] == [1,2,3] @test trueparent(a)[2,:,1] == [1,2,3,4,5] @test trueparent(a)[3,3:4,1] == [3,4] @test trueparent(a)[4,:,1] == [10,11,12,13,14] a[1:2:4,1:2:5,1] = [1 2 3; 5 6 7] @test trueparent(a)[1:2:4,1:2:5,1] == [1 2 3; 5 6 7] @test setindex_count(a) == 7 a[[2,4],1:2,1] = [1 2; 5 6] @test trueparent(a)[[2,4],1:2,1] == [1 2; 5 6] @test setindex_count(a) == 8 end function test_view(a) v = view(a,2:3,2:4,1) v[1:2,1] = [1,2] v[1:2,2:3] = [4 4; 4 4] @test v[1:2,1] == [1,2] @test v[1:2,2:3] == [4 4; 4 4] @test trueparent(a)[2:3,2] == [1,2] @test trueparent(a)[2:3,3:4] == [4 4; 4 4] @test getindex_count(a) == 2 @test setindex_count(a) == 2 end function test_reductions(af) data = rand(10,20,2) for f in (minimum,maximum,sum, (i,args...;kwargs...)->all(j->j>0.1,i,args...;kwargs...), (i,args...;kwargs...)->any(j->j<0.1,i,args...;kwargs...), (i,args...;kwargs...)->mapreduce(x->2*x,+,i,args...;kwargs...)) a = af(data) @test isapprox(f(a),f(data)) @test getindex_count(a) <= 10 #And test reduction along dimensions a = _DiskArray(data,chunksize=(5,4,2)) @test all(isapprox.(f(a,dims=2),f(data,dims=2))) #The minimum and maximum functions do some initialization, which will increase #the number of reads @test f in (minimum, maximum) || getindex_count(a) <= 12 a = _DiskArray(data,chunksize=(5,4,2)) @test all(isapprox.(f(a,dims=(1,3)),f(data,dims=(1,3)))) @test f in (minimum, maximum) || getindex_count(a) <= 12 end end function test_broadcast(a_disk1) a_disk2 = _DiskArray(rand(1:10,1,9), chunksize=(1,3)) a_mem = reshape(1:2,1,1,2); s = a_disk1 .+ a_disk2 .* Ref(2) ./ (2,) #Test lazy broadcasting @test s isa DiskArrays.BroadcastDiskArray @test s === DiskArrays.BroadcastDiskArray(s.bc) @test getindex_count(a_disk1)==0 @test setindex_count(a_disk1)==0 @test getindex_count(a_disk2)==0 @test setindex_count(a_disk2)==0 @test size(s)==(10,9,2) @test eltype(s) == Float64 #Lets merge another broadcast s2 = s ./ a_mem @test s isa DiskArrays.BroadcastDiskArray @test getindex_count(a_disk1)==0 @test getindex_count(a_disk2)==0 @test size(s)==(10,9,2) @test eltype(s) == Float64 #And now do the computation with Array as a sink aout = zeros(10,9,2) aout .= s2 .* 2 ./ Ref(2) #Test if the result is correct @test aout == (trueparent(a_disk1) .+ trueparent(a_disk2))./a_mem @test getindex_count(a_disk1)==6 @test getindex_count(a_disk2)==6 #Now use another DiskArray as the output aout = _DiskArray(zeros(10,9,2),chunksize=(5,3,2)) aout .= s ./ a_mem @test trueparent(aout) == (trueparent(a_disk1) .+ trueparent(a_disk2))./a_mem @test setindex_count(aout)==6 @test getindex_count(a_disk1)==12 @test getindex_count(a_disk2)==12 #Test reduction of broadcasted expression r = sum(s2, dims=(1,2)) @test all(isapprox.(sum((trueparent(a_disk1) .+ trueparent(a_disk2))./a_mem,dims=(1,2)),r)) @test getindex_count(a_disk1)==18 @test getindex_count(a_disk2)==18 end @testset "Index interpretation" begin import DiskArrays: DimsDropper, Reshaper a = zeros(3,3,1) @test interpret_indices_disk(a, (:,2,:)) == ((Base.OneTo(3), 2:2, Base.OneTo(1)), DimsDropper{Tuple{Int}}((2,))) @test interpret_indices_disk(a, (1,2,:)) == ((1:1, 2:2, Base.OneTo(1)), DimsDropper{Tuple{Int,Int}}((1, 2))) @test interpret_indices_disk(a, (1,2,2,1)) == ((1:1, 2:2, 2:2), DimsDropper{Tuple{Int,Int,Int}}((1, 2, 3))) @test interpret_indices_disk(a, (1,2,2,1)) == ((1:1, 2:2, 2:2), DimsDropper{Tuple{Int,Int,Int}}((1, 2, 3))) @test interpret_indices_disk(a, (:,1:2)) == ((Base.OneTo(3), 1:2, 1:1), DimsDropper{Tuple{Int}}((3,))) @test interpret_indices_disk(a, (:,)) == ((Base.OneTo(3), Base.OneTo(3), Base.OneTo(1)), DiskArrays.Reshaper{Int}(9)) end @testset "AbstractDiskArray getindex" begin a = _DiskArray(reshape(1:20,4,5,1)) test_getindex(a) end @testset "AbstractDiskArray setindex" begin a = _DiskArray(zeros(Int,4,5,1)) test_setindex(a) end @testset "Zerodimensional" begin a = _DiskArray(zeros(Int)) @test a[] == 0 @test a[1] == 0 a[] = 5 @test a[] == 5 a[1] = 6 @test a[] == 6 end @testset "Views" begin a = _DiskArray(zeros(Int,4,5,1)) test_view(a) end # The remaing tests only work for Julia >= 1.3 if VERSION >= v"1.3.0" import Statistics: mean @testset "Reductions" begin a = data -> _DiskArray(data,chunksize=(5,4,2)) test_reductions(a) end @testset "Broadcast" begin a_disk1 = _DiskArray(rand(10,9,2), chunksize=(5,3,2)) test_broadcast(a_disk1) end @testset "Broadcast with length 1 final dim" begin a_disk1 = _DiskArray(rand(10,9,1), chunksize=(5,3,1)) a_disk2 = _DiskArray(rand(1:10,1,9), chunksize=(1,3)) s = a_disk1 .+ a_disk2 @test DiskArrays.eachchunk(s) isa DiskArrays.GridChunks{3} @test size(collect(s)) == (10, 9, 1) end @testset "Reshape" begin a = reshape(_DiskArray(reshape(1:20,4,5)),4,5,1) test_getindex(a) a = reshape(_DiskArray(zeros(Int,4,5)),4,5,1) test_setindex(a) a = reshape(_DiskArray(zeros(Int,4,5)),4,5,1) test_view(a) a = data -> reshape(_DiskArray(data,chunksize=(5,4,2)),10,20,2,1) test_reductions(a) a = reshape(_DiskArray(reshape(1:20,4,5)),4,5,1) @test ReshapedDiskArray(a.parent, a.keepdim, a.newsize) === a end import Base.PermutedDimsArrays.invperm @testset "Permutedims" begin p = (3,1,2) ip = invperm(p) a = permutedims(_DiskArray(permutedims(reshape(1:20,4,5,1),ip)),p) test_getindex(a) a = permutedims(_DiskArray(zeros(Int,5,1,4)),p) test_setindex(a) a = permutedims(_DiskArray(zeros(Int,5,1,4)),p) test_view(a) a = data -> permutedims(_DiskArray(permutedims(data,ip),chunksize=(4,2,5)),p) test_reductions(a) a_disk1 = permutedims(_DiskArray(rand(9,2,10), chunksize=(3,2,5)),p) test_broadcast(a_disk1) @test PermutedDiskArray(a_disk1.a) === a_disk1 end @testset "Unchunked String arrays" begin a = reshape(1:200000,200,1000) b = string.(a) c = collect(Union{Int,Missing},a) DiskArrays.default_chunk_size[] = 100 DiskArrays.fallback_element_size[] = 100 @test DiskArrays.estimate_chunksize(a) == (200,1000) @test DiskArrays.eachchunk(a) == DiskArrays.GridChunks(a,(200,1000)) @test DiskArrays.estimate_chunksize(b) == (200,1000) @test DiskArrays.eachchunk(b) == DiskArrays.GridChunks(b,(200,1000)) @test DiskArrays.estimate_chunksize(c) == (200,1000) @test DiskArrays.eachchunk(c) == DiskArrays.GridChunks(c,(200,1000)) DiskArrays.default_chunk_size[] = 1 @test DiskArrays.estimate_chunksize(a) == (200,625) @test DiskArrays.eachchunk(a) == DiskArrays.GridChunks(a,(200,625)) @test DiskArrays.estimate_chunksize(b) == (200,50) @test DiskArrays.eachchunk(b) == DiskArrays.GridChunks(b,(200,50)) @test DiskArrays.estimate_chunksize(c) == (200,625) @test DiskArrays.eachchunk(c) == DiskArrays.GridChunks(c,(200,625)) DiskArrays.fallback_element_size[] = 1000 @test DiskArrays.estimate_chunksize(a) == (200,625) @test DiskArrays.eachchunk(a) == DiskArrays.GridChunks(a,(200,625)) @test DiskArrays.estimate_chunksize(b) == (200,5) @test DiskArrays.eachchunk(b) == DiskArrays.GridChunks(b,(200,5)) @test DiskArrays.estimate_chunksize(c) == (200,625) @test DiskArrays.eachchunk(c) == DiskArrays.GridChunks(c,(200,625)) end end
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function reliability(t::Vector{Float64}, Φ::Matrix{Float64}, dists::Dict) P = zeros(size(t)) for index in CartesianIndices(Φ) p = ones(size(t)) for k = 1:length(size(Φ)) mk = size(Φ)[k] - 1 lk = index[k] - 1 Fk = dists[k] p .*= binomial(mk, lk) .* (cdf.(Fk, t) .^ (mk - lk)) .* ((1 .- cdf.(Fk, t)) .^ lk) end P .+= Φ[index] .* p end return P end function reliability( t::Vector{Float64}, Φ::Matrix{Float64}, types::Dict{Int64,Array{Int64,1}}, failures::Matrix{Float64}, ) idx = map_failures_to_type(failures, types) Φ_f = map_types_to_signature(idx, Φ, types) sort!(failures, dims = 2) P = zeros(size(t)) for (r_i, r) ∈ enumerate(eachrow(failures)) @inbounds P[t.<r[1]] .+= 1 for c_i ∈ 1:length(r)-1 if Φ_f[r_i, c_i] === 0.0 break end @inbounds P[r[c_i].<=t.<r[c_i+1]] .+= Φ_f[r_i, c_i] end if Φ_f[r_i, end] > 0.0 @inbounds P[t.>=r[end]] .+= Φ_f[r_i, end] end end return P ./ size(failures, 1) end function map_failures_to_type(f, types::Dict{Int64,Array{Int64,1}}) type_map = Dict{Int64,Int64}() for n ∈ vcat(values(types)...) for (type, components) ∈ types n ∈ components && (type_map[n] = type; break) end end idx = zeros(size(f)) for i ∈ 1:size(f, 1) @views idx[i, :] = map(x -> type_map[x], sortperm(f[i, :])) end return Int.(idx) end function map_types_to_signature(idx, Φ, types) F = ones(Int64, size(idx, 1), size(idx, 2), length(types)) for (type, components) ∈ types F[:, :, type] += length(components) .- cumsum(idx .== type, dims = 2) end Φ_f = zeros(size(idx)) for j = 1:size(F, 2) for i = 1:size(F, 1) Φ_f[i, j] = Φ[(F[i, j, :])...] end end return Φ_f end
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# ============================================================ # Structs of Initial & Boundary Conditions # ============================================================ """ mutable struct IB{T} <: AbstractCondition fw::Function bc::T end Initial & boundary conditions with no distribution function """ mutable struct IB{T<:Union{Function,AbstractArray}} <: AbstractCondition fw::Function bc::T end function IB(fw, gas::Scalar) γ = gas.a bc = function (args...) w = fw(args...) return ifelse(γ == 0, conserve_prim(w), conserve_prim(w, γ)) end return IB{typeof(bc)}(fw, bc) end function IB(fw, gas::AbstractGas) bc = function (args...) w = fw(args...) prim = begin if ndims(w) == 1 conserve_prim(w, gas.γ) else mixture_conserve_prim(w, gas.γ) end end return prim end return IB{typeof(bc)}(fw, bc) end """ mutable struct IB1F{T} <: AbstractCondition fw::Function ff::Function bc::T end Initial & boundary condition with 1 distribution function """ mutable struct IB1F{T} <: AbstractCondition fw::Function ff::Function bc::T end function IB1F(fw, vs::AbstractVelocitySpace, gas::AbstractProperty) bc = function (args...) w = fw(args...) prim = begin if ndims(w) == 1 conserve_prim(w, gas.γ) else mixture_conserve_prim(w, gas.γ) end end return prim end ff = function (args...) prim = bc(args...) M = begin if !isdefined(vs, :v) if ndims(prim) == 1 maxwellian(vs.u, prim) else mixture_maxwellian(vs.u, prim) end elseif !isdefined(vs, :w) if ndims(prim) == 1 maxwellian(vs.u, vs.v, prim) else mixture_maxwellian(vs.u, vs.v, prim) end else if ndims(prim) == 1 maxwellian(vs.u, vs.v, vs.w, prim) else mixture_maxwellian(vs.u, vs.v, vs.w, prim) end end end return M end return IB1F{typeof(bc)}(fw, ff, bc) end """ mutable struct IB2F{T} <: AbstractCondition fw::Function ff::Function bc::T end Initial & boundary condition with 2 distribution functions """ mutable struct IB2F{T} <: AbstractCondition fw::Function ff::Function bc::T end function IB2F(fw, vs::AbstractVelocitySpace, gas::AbstractProperty) bc = function (args...) w = fw(args...) prim = begin if ndims(w) == 1 conserve_prim(w, gas.γ) else mixture_conserve_prim(w, gas.γ) end end return prim end ff = function (args...) prim = bc(args...) if !isdefined(vs, :v) if ndims(prim) == 1 H = maxwellian(vs.u, prim) B = H .* gas.K / 2 / prim[end] else H = mixture_maxwellian(vs.u, prim) B = zero(H) for j in axes(B, 2) B[:, j] = H[:, j] * gas.K / (2.0 * prim[end, j]) end end elseif !isdefined(vs, :w) if ndims(prim) == 1 H = maxwellian(vs.u, vs.v, prim) B = H .* gas.K / 2 / prim[end] else H = mixture_maxwellian(vs.u, vs.v, prim) B = zero(H) for j in axes(B, 3) B[:, :, j] = H[:, :, j] * gas.K / (2.0 * prim[end, j]) end end else if ndims(prim) == 1 H = maxwellian(vs.u, vs.v, vs.w, prim) B = H .* gas.K / 2 / prim[end] else H = mixture_maxwellian(vs.u, vs.v, vs.w, prim) B = zero(H) for j in axes(B, 4) B[:, :, :, j] = H[:, :, :, j] * gas.K / (2.0 * prim[end, j]) end end end return H, B end return IB2F{typeof(bc)}(fw, ff, bc) end """ mutable struct IB3F{T} <: AbstractCondition fw::Function ff::Function fE::Function fB::Function fL::Function bc::T end Initial & boundary condition with 3 distribution functions """ mutable struct IB3F{T} <: AbstractCondition fw::Function ff::Function fE::Function fB::Function fL::Function bc::T end """ mutable struct IB4F{T} <: AbstractCondition fw::Function ff::Function fE::Function fB::Function fL::Function bc::T end Initial & boundary condition with 4 distribution functions """ mutable struct IB4F{T} <: AbstractCondition fw::Function ff::Function fE::Function fB::Function fL::Function bc::T end
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1.855596
2,770
using Test using PolynomialBasis using ImplicitDomainQuadrature using CartesianMesh # using Revise using HDGElasticity function allapprox(v1,v2) return all(v1 .≈ v2) end function allequal(v1,v2) return all(v1 .== v2) end function allapprox(v1,v2,atol) @assert length(v1) == length(v2) return all([isapprox(v1[i],v2[i],atol=atol) for i = 1:length(v1)]) end function plane_distance_function(coords,n,x0) return [n'*(coords[:,idx]-x0) for idx in 1:size(coords)[2]] end facequads = [[1,2],[],[1,2,3],[]] solverid = HDGElasticity.face_to_solverid(facequads) @test allequal(solverid,[1,0,2,0]) vbasis = TensorProductBasis(2,1) mesh = UniformMesh([0.,0.],[1.,1.],[2,1]) coords = HDGElasticity.nodal_coordinates(mesh,vbasis) NF = HDGElasticity.number_of_basis_functions(vbasis) coeffs = reshape(plane_distance_function(coords,[1.,0.],[0.4,0.]),NF,:) poly = InterpolatingPolynomial(1,vbasis) dgmesh = HDGElasticity.DGMesh(mesh,coeffs,poly) ufs = HDGElasticity.UniformFunctionSpace(dgmesh,1,4,coeffs,poly) l1,m1 = (1.,2.) l2,m2 = (2.,3.) D1 = sqrt(HDGElasticity.plane_strain_voigt_hooke_matrix_2d(l1,m1)) D2 = sqrt(HDGElasticity.plane_strain_voigt_hooke_matrix_2d(l2,m2)) stabilization = 1.0 cellmap = HDGElasticity.CellMap(dgmesh.domain[1]) solveridx = HDGElasticity.cell_to_solver_index(dgmesh.cellsign) testsolveridx = [3 1 4 0] @test allequal(solveridx,testsolveridx) cellsolvers = HDGElasticity.CellSolvers(dgmesh,ufs,D1,D2,stabilization) @test length(cellsolvers.localsolvers) == 4 @test allapprox(cellsolvers.stiffness[1],D1) @test allapprox(cellsolvers.stiffness[2],D2) @test cellsolvers.stabilization ≈ stabilization update!(ufs.imap,ufs.icoeffs[1,1]) LL1 = HDGElasticity.local_operator(ufs.vbasis,ufs.vquads[1,1],ufs.fquads[1,1], dgmesh.facemaps,ufs.iquad,ufs.imap,-ufs.inormals[1],D1,stabilization,cellmap) fLH1 = HDGElasticity.local_hybrid_operator(ufs.vbasis,ufs.sbasis,ufs.fquads[1,1], dgmesh.facemaps,ufs.fnormals,D1,stabilization,cellmap) iLH1 = HDGElasticity.local_hybrid_operator_on_interface(ufs.vbasis,ufs.sbasis, ufs.iquad,ufs.imap,-ufs.inormals[1],D1,stabilization,cellmap) LH1 = [hcat(fLH1...) iLH1] @test allapprox(cellsolvers[1,1].LL,LL1) @test allapprox(cellsolvers[1,1].LH,LH1) @test allequal(cellsolvers[1,1].facetosolverid,[1,2,3,0,4]) LL2 = HDGElasticity.local_operator(ufs.vbasis,ufs.vquads[2,1],ufs.fquads[2,1], dgmesh.facemaps,ufs.iquad,ufs.imap,ufs.inormals[1],D2,stabilization,cellmap) fLH2 = HDGElasticity.local_hybrid_operator(ufs.vbasis,ufs.sbasis,ufs.fquads[2,1], dgmesh.facemaps,ufs.fnormals,D2,stabilization,cellmap) iLH2 = HDGElasticity.local_hybrid_operator_on_interface(ufs.vbasis,ufs.sbasis, ufs.iquad,ufs.imap,ufs.inormals[1],D2,stabilization,cellmap) LH2 = [hcat(fLH2...) iLH2] @test allapprox(cellsolvers[2,1].LL,LL2) @test allapprox(cellsolvers[2,1].LH,LH2) @test allapprox(cellsolvers[2,1].facetosolverid,[1,0,2,3,4]) uLL1 = HDGElasticity.local_operator(ufs.vbasis,ufs.vtpq,ufs.ftpq, dgmesh.facemaps,D1,stabilization,cellmap) ufLH1 = HDGElasticity.local_hybrid_operator(ufs.vbasis,ufs.sbasis,ufs.ftpq, dgmesh.facemaps,ufs.fnormals,D1,stabilization,cellmap) uLH1 = hcat(ufLH1...) @test allapprox(cellsolvers.localsolvers[1].LL,uLL1) @test allapprox(cellsolvers.localsolvers[1].LH,uLH1) @test allequal(cellsolvers.localsolvers[1].facetosolverid,[1,2,3,4]) uLL2 = HDGElasticity.local_operator(ufs.vbasis,ufs.vtpq,ufs.ftpq, dgmesh.facemaps,D2,stabilization,cellmap) ufLH2 = HDGElasticity.local_hybrid_operator(ufs.vbasis,ufs.sbasis,ufs.ftpq, dgmesh.facemaps,ufs.fnormals,D2,stabilization,cellmap) uLH2 = hcat(ufLH2...) @test allapprox(cellsolvers.localsolvers[2].LL,uLL2) @test allapprox(cellsolvers.localsolvers[2].LH,uLH2) @test allequal(cellsolvers.localsolvers[2].facetosolverid,[1,2,3,4])
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using Printf """ Represents the time of day. fields: hour, minute, second """ struct MyTime hour minute second end # Exercise 16-1 function printtime(t::MyTime) @printf("%02d:%02d:%02d", t.hour, t.minute, t.second) end t = MyTime(23, 10, 58) # printtime(t) # Exercise 16-2 function isafter(t1::MyTime, t2::MyTime) return (t1.hour, t1.minute, t1.second) > (t2.hour, t2.minute, t2.second) end # Exercise 16-3 function increment!(time, seconds) time.second += seconds dmin, time.second = divrem(time.second, 60) time.minute += dmin dhour, time.minute = divrem(time.minute, 60) time.hour += dhour time.hour %= 24 nothing end # Exercise 16-4 function increment(time, seconds) nsecond = time.second + seconds dmin, nsecond = divrem(nsecond, 60) nminute = time.minute + dmin dhour, nminute = divrem(nminute, 60) nhour = time.hour + dhour nhour %= 24 return MyTime(nhour, nminute, nsecond) end # Exercise 16-5 function timetoint(time) minutes = time.hour * 60 + time.minute seconds = minutes * 60 + time.second end function inttotime(seconds) (minutes, second) = divrem(seconds, 60) hour, minute = divrem(minutes, 60) MyTime(hour, minute, second) end function increment(time, seconds) return inttotime(timetoint(time) + seconds) end # Exercise 16-6 function multime(time::MyTime, x::Number) return inttotime(timetoint(time) * x) end # println(multime(t, 3)) function timepermile(time::MyTime, dist::Number) return multime(time, 1/dist) end # println(timepermile(t, 3)) # Exercise 16-7 using Dates td = today() println(td) println(dayofweek(td)) println(dayname(td)) function age(bday) td = today() td - bday dyear = year(td) - year(bday) dmonth = month(td) - month(bday) dday = day(td) - day(bday) if dmonth < 0 dyear -= 1 elseif dmonth == 0 && dday < 0 dyear -= 1 end println("Age: $dyear") next_bday = bday + Year(dyear + 1) println("Next birthday: $next_bday") nextdiff = DateTime(next_bday) - now() timeleft = canonicalize(Dates.CompoundPeriod(nextdiff)) println("Time to next birthday: $timeleft") end # age(Date(1995, 11, 02)) function doubleday(d1, d2) @assert(d2 > d1, "d2 should be later than d1") return d2 - d1 + d2 end d1 = Date(2000, 1, 2) d2 = Date(2005, 6, 24) # println(doubleday(d1, d2)) function n_day(d1, d2, n) @assert(d2 > d1, "d2 should be later than d1") diff = d2 - d1 age1, age2 = diff.value, 0 while age2 * n != age1 if age2 * n > age1 error("Impossible combination of inputs") end age1 += 1 age2 += 1 end return d1 + Day(age1) end # println(n_day(d1, d2, 2)) # println(n_day(d1, d2, 3)) # println(n_day(d1, d2, 6))
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######### StanSample example ########### using StanSample, Test bernoulli_model = " data { int<lower=1> N; array[N] int<lower=0,upper=1> y; } parameters { real<lower=0,upper=1> theta; } model { theta ~ beta(1,1); y ~ bernoulli(theta); } "; bernoulli_data = [ Dict("N" => 10, "y" => [0, 1, 0, 1, 0, 0, 0, 0, 0, 1]), Dict("N" => 10, "y" => [0, 1, 0, 0, 1, 0, 0, 0, 0, 1]), Dict("N" => 10, "y" => [0, 1, 0, 1, 0, 0, 0, 0, 1, 0]), Dict("N" => 10, "y" => [0, 0, 0, 1, 0, 0, 1, 0, 0, 1]), ] sm = SampleModel("bernoulli", bernoulli_model) rc = stan_sample(sm; data=bernoulli_data, delta=0.85, num_threads=1) if success(rc) # Fetch the same output in the `sdf` ChainDataFrame sdf = read_summary(sm) @test sdf[sdf.parameters .== :theta, :mean][1] ≈ 0.33 rtol=0.05 end
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using Core.Compiler: AbstractInterpreter, CodeInstance, MethodInstance, WorldView, NativeInterpreter using InteractiveUtils function infer_function(interp, tt) # Find all methods that are applicable to these types mthds = _methods_by_ftype(tt, -1, typemax(UInt)) if mthds === false || length(mthds) != 1 error("Unable to find single applicable method for $tt") end mtypes, msp, m = mthds[1] # Grab the appropriate method instance for these types mi = Core.Compiler.specialize_method(m, mtypes, msp) # Construct InferenceResult to hold the result, result = Core.Compiler.InferenceResult(mi) # Create an InferenceState to begin inference, give it a world that is always newest world = Core.Compiler.get_world_counter() frame = Core.Compiler.InferenceState(result, #=cached=# true, interp) # Run type inference on this frame. Because the interpreter is embedded # within this InferenceResult, we don't need to pass the interpreter in. Core.Compiler.typeinf(interp, frame) # Give the result back return (mi, result) end struct ExtractingInterpreter <: Core.Compiler.AbstractInterpreter code::Dict{MethodInstance, CodeInstance} native_interpreter::NativeInterpreter msgs::Vector{Tuple{MethodInstance, Int, String}} optimize::Bool end ExtractingInterpreter(;optimize=false) = ExtractingInterpreter( Dict{MethodInstance, Any}(), NativeInterpreter(), Vector{Tuple{MethodInstance, Int, String}}(), optimize ) import Core.Compiler: InferenceParams, OptimizationParams, get_world_counter, get_inference_cache, code_cache, WorldView, lock_mi_inference, unlock_mi_inference, InferenceState InferenceParams(ei::ExtractingInterpreter) = InferenceParams(ei.native_interpreter) OptimizationParams(ei::ExtractingInterpreter) = OptimizationParams(ei.native_interpreter) get_world_counter(ei::ExtractingInterpreter) = get_world_counter(ei.native_interpreter) get_inference_cache(ei::ExtractingInterpreter) = get_inference_cache(ei.native_interpreter) # No need to do any locking since we're not putting our results into the runtime cache lock_mi_inference(ei::ExtractingInterpreter, mi::MethodInstance) = nothing unlock_mi_inference(ei::ExtractingInterpreter, mi::MethodInstance) = nothing code_cache(ei::ExtractingInterpreter) = ei.code Core.Compiler.get(a::Dict, b, c) = Base.get(a,b,c) Core.Compiler.get(a::WorldView{<:Dict}, b, c) = Base.get(a.cache,b,c) Core.Compiler.haskey(a::Dict, b) = Base.haskey(a, b) Core.Compiler.haskey(a::WorldView{<:Dict}, b) = Core.Compiler.haskey(a.cache, b) Core.Compiler.setindex!(a::Dict, b, c) = setindex!(a, b, c) Core.Compiler.may_optimize(ei::ExtractingInterpreter) = ei.optimize Core.Compiler.may_compress(ei::ExtractingInterpreter) = false Core.Compiler.may_discard_trees(ei::ExtractingInterpreter) = false function Core.Compiler.add_remark!(ei::ExtractingInterpreter, sv::InferenceState, msg) @show msg push!(ei.msgs, (sv.linfo, sv.currpc, msg)) end macro code_typed_nocache(ex0...) esc(:(@InteractiveUtils.code_typed interp=$(ExtractingInterpreter)() $(ex0...))) end export @code_typed_nocache
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2.773205
1,142
function bob(stimulus) # 1) Checar si la cadena esta vacia # 2) Checar si la cadena tiene un signo de interrogacion (?) # 3) Checar si la cadena es toda en mayusculas # 4) Cualquier otra cosa regresa "Whatever." nospace = strip(stimulus) if isempty(nospace) return "Fine. Be that way!" elseif uppercase(stimulus) == stimulus if endswith(stimulus, "?") return "Calm down, I know what I'm doing!" else return "Whoa, chill out!" end else if endswith(stimulus, "?") return "Sure." end end return "Whatever." end
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2.194444
288
using Distributions using Test, Random @test rand(Bernoulli()) isa Bool @test rand(Bernoulli(), 10) isa Vector{Bool}
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2.878049
41
A = [1 2 ; 3 4] B = [10, 10] sum!(B, A) sum!(A, B) using ReverseDiffSource Nn = [20,10,1] function ann(l1, l2, x1) x2 = l1 * x1 x2 = max(0., x2) #relu x3 = l2 * x2 x3 = (max(0., x3[1]))^2 #relu end # ls = Array[ nn.ws...] ls = init(Nn) dann = rdiff(ann, (ls..., ones(20) )) out = dann(ls..., ones(20) ) nn = S.NN((ls[1], ls[2]), (S.Relu(), S.Relu())) ts2 = S.cycle(nn, ones(20), zeros(1)) out[2] ts2.dws[1] out[3] ts2.dws[2] ts2.ds[end] out[3] ./ ts2.dws[2] r1 = S.calc(nn, ones(20))[1] # 1.16217 r2 = ann(ls..., ones(20)) r1-r2 ls[1][9,1] += 1e-10 (ann(ls..., ones(20)) - r1) * 1e10 # -0.8600 nn.ws[1][9,1] += 1e-10 (S.calc(nn, ones(20)) - r2) * 1e10 # -0.8600 reload("SimpleNeuralNets"); S=SimpleNeuralNets nn = S.NN([10,10,10,10,1], [ S.Tanh(), S.Tanh()] ) ts = S.TrainState(nn, 10) size(nn) size(ts) ts2 = S.cycle(nn, ones(20,10), ones(5,10)) S.cycle!(ts, nn, ones(10,10), ones(1,10)) S.depth(nn) s0 = S.calc(nn, rand(20)) copy!(s0.ss[1], ones(20)) S.compatible(nn, s0) S.calc!(nn, s0) s0 = S.calc(nn, rand(20,10)) copy!(s0.ss[1], ones(20)) S.compatible(nn, s0) S.calc!(nn, s0) a = (1,2,3) typeof(a) a[1] a[1] = 2 nn = S.NN((randn(1,1),), (S.Relu(),)) S.calc(nn, [1.]) nn = S.NN((randn(1,1),), (S.SoftRelu(),)) S.calc(nn, [1.]) ########### ANN3 #################################" import Bokeh # using ReverseDiffSource reload("SimpleNeuralNets"); s = SimpleNeuralNets f(x) = exp(-(x-1)^2/5)*cos(x)*sign(x) xs = collect(-5:0.001:5) X = Float64[ x for x in xs ]' Y = Float64[ f(x) for x in xs ]' nn = s.NN([1,10,10,10,1], [ s.Relu(), s.Tanh()] ) ts = s.TrainingSet(X, Y) any(ts.weights .!= 1.0) λ0, μ = 1e-3, 0.9 s.sgd(nn, ts, λ0, μ, freq=200, steps=1000) ts2 = s.TrainingSet(X, Y, SqEuclidean(), rand(size(X,2))) s.sgd(nn, ts2, λ0, μ, freq=200, steps=1000) s.colwise(a,b,c) length(a.weights) px = s.calc(nn, X) sum(s.colwise(ts2.metric, px, ts2.Y)) λ0, μ = 1e-3, 0.9 s.sgd(nn, λ0, μ, X, Y, freq=200, steps=10000) λ0, μ = 1e-5, 0.999 s.sgd(nn, λ0, μ, X, Y, freq=200, steps=10000) Bokeh.hold(true) Bokeh.plot(f, -5:5, "k-") px = collect(-5:0.01:5) py = s.calc(nn, px')' Bokeh.plot(px, py, "b-") Bokeh.showplot("/tmp/plot.html") Bokeh.hold(false) nn = s.NN([1,10,10,10,1], [ s.SoftRelu(), s.Tanh()] ) λ0, μ = 1e-3, 0.9 s.sgd(nn, λ0, μ, X, Y, freq=200, steps=10000) λ0, μ = 1e-3, 0. s.sgd(nn, λ0, μ, X, Y, freq=1000, steps=10000) Bokeh.hold(true) Bokeh.plot(f, -5:5, "k-") px = collect(-4:0.1:4) py = s.calc(nn, px')' Bokeh.plot(px, py, "b-") Bokeh.showplot("/tmp/plot.html") Bokeh.hold(false)
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1.674276
1,796
import Blosc: compress, decompress function parallel_density_grid{T}(C::Matrix{T}, width::T, d::Int, σ::T, ϵ::T = 1e-4, num_workers::Int = nworkers()) num_points = size(C, 2) num_points_per_worker = fill(fld(num_points, num_workers), num_workers) num_points_per_worker[1:mod(num_points, num_workers)] += 1 start_indices = unshift!(cumsum(num_points_per_worker), 0) .+ 1 pop!(start_indices) params = map(zip(start_indices, num_points_per_worker)) do r C[:, range(r[1], r[2])], width, d, σ, ϵ end #ρs_compressed = pmap(params, pids = collect(take(workers(), num_workers))) do p ρs_compressed = pmap(params) do p compress(density_grid(p...), level = 9, shuffle = true, itemsize = sizeof(T)) end ρ = mapreduce(.+, zeros(T, d^3), ρs_compressed) do ρ_compressed decompress(T, ρ_compressed) end return reshape(ρ, d, d, d) end function density_grid{T}(C::Matrix{T}, width::T, d::Int, σ::T, ϵ::T= 1e-4) hw = width / 2 ρ = zeros(T, d, d, d) num_points = size(C, 2) r_max_sq = max(0, -σ^2 * log(ϵ)) r_max = sqrt(r_max_sq) b = floor(Int, d * r_max / width) + 1 g = collect(linspace(-hw, hw, d)) @inbounds for i in 1:num_points ix = floor(Int, d * (C[1, i] + hw) / width) + 1 iy = floor(Int, d * (C[2, i] + hw) / width) + 1 iz = floor(Int, d * (C[3, i] + hw) / width) + 1 x_min = max(1, ix - b) y_min = max(1, iy - b) z_min = max(1, iz - b) x_max = min(d, ix + b) y_max = min(d, iy + b) z_max = min(d, iz + b) for jx in x_min:x_max, jy in y_min:y_max, jz in z_min:z_max r_sq = (C[1, i] - g[jx])^2 + (C[2, i] - g[jy])^2 + (C[3, i] - g[jz])^2 if r_sq < r_max_sq ρ[jx, jy, jz] += exp(-r_sq / σ^2) end end end return ρ end function density_grid{T}(x::Array{T, 3}, y::Array{T, 3}, z::Array{T, 3}, C::Matrix{T}, σ::T, ϵ::T = 1e-4) D = size(x) ρ = zeros(T, D) num_points = size(C, 2) R = CartesianRange(size(ρ)) I_min, I_max = first(R), last(R) x_spread = x[I_max] - x[I_min] y_spread = y[I_max] - y[I_min] z_spread = z[I_max] - z[I_min] r_max_sq = max(0, -σ^2 * log(ϵ)) r_max = sqrt(r_max_sq) dx = floor(Int, D[1] * r_max / x_spread) + 1 dy = floor(Int, D[2] * r_max / y_spread) + 1 dz = floor(Int, D[3] * r_max / z_spread) + 1 B = CartesianIndex((dx, dy, dz)) @inbounds for i in 1:num_points ix = floor(Int, D[1] * (C[1, i] - x[I_min]) / x_spread) + 1 iy = floor(Int, D[2] * (C[2, i] - y[I_min]) / y_spread) + 1 iz = floor(Int, D[3] * (C[3, i] - z[I_min]) / z_spread) + 1 I = CartesianIndex((ix, iy, iz)) for J in CartesianRange(max(I_min, I - B), min(I_max, I + B)) r_sq = (C[1, i] - x[J])^2 + (C[2, i] - y[J])^2 + (C[3, i] - z[J])^2 if r_sq < r_max_sq ρ[J] += exp(-r_sq / σ^2) end end end return ρ end function density_grid_stats{T}(width::T, d::Int, σ::T, ϵ::T) r_max = sqrt(max(0, -σ^2 * log(ϵ))) b = floor(Int, r_max / (width / d)) + 1 num_blocks = (2b + 1)^3 println("Max radius: $(r_max)") println("Blocks per dimension: $b") println("Total blocks: $(num_blocks)") flush(STDOUT) end
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struct Involute{T} <: JointType{T} i::SVector{3, T} j::SVector{3, T} k::SVector{3, T} ρ::T ρ_inv::T function Involute{T}(b_axis::AbstractVector,n_axis::AbstractVector,ρ::T) where {T} j, k = map(axis -> normalize(SVector{3}(axis)), (n_axis, b_axis)) @assert isapprox(k ⋅ j, 0; atol = 100 * eps(T)) @assert ρ > 0 new{T}(j × k, j, k, ρ, inv(ρ)) end end @propagate_inbounds function joint_transform(jt::Involute, frame_after::CartesianFrame3D, frame_before::CartesianFrame3D, q::AbstractVector) rot = RotMatrix(AngleAxis(jt.ρ_inv*q[1],jt.k[1],jt.k[2],jt.k[3],false)) trans = rot*(jt.ρ*jt.j+q[1]*jt.i) Transform3D(frame_after,frame_before,rot,trans) end @propagate_inbounds function joint_twist(jt::Involute, frame_after::CartesianFrame3D, frame_before::CartesianFrame3D, q::AbstractVector, v::AbstractVector) angular = jt.ρ_inv*jt.k*v[1] linear = jt.ρ_inv*q[1]*jt.j*v[1] Twist(frame_after, frame_before, frame_after, angular, linear) end @propagate_inbounds function joint_spacial_acceleration(jt::Involute, frame_after::CartesianFrame3D, frame_before::CartesianFrame3D, q::AbstractVector, v::AbstractVector, vd::AbstractVector) S = promote_eltype(jt, q, v, vd) angular = jt.ρ_inv*jt.k*vd[1] linear = (jt.ρ_inv*q[1]*jt.j)*vd[1] + (jt.j-jt.ρ_inv*q[1]*jt.i)*jt.ρ_inv*v[1]^2 SpatialAcceleration{S}(frame_after, frame_before, frame_after, angular, linear) end @propagate_inbounds function bias_acceleration(jt::Involute, frame_after::CartesianFrame3D, frame_before::CartesianFrame3D, q::AbstractVector, v::AbstractVector) S = promote_eltype(jt, q, v) linear = zero(SVector{3,S}) angular = (jt.j-jt.ρ_inv*q[1]*jt.i)*jt.ρ_inv*v[1]^2 SpatialAcceleration{S}(frame_after, frame_before, frame_after, angular,linear) end @propagate_inbounds function joint_torque!(τ::AbstractVector, jt::Involute, q::AbstractVector, joint_wrench::Wrench) R = RotMatrix(AngleAxis(-jt.ρ_inv*q[1],jt.k[1],jt.k[2],jt.k[3],false)) τ[1] = jt.ρ_inv*q[1]*jt.j'*linear(joint_wrench) + ρ_inv*k'*angular(joint_wrench) nothing end @inline function motion_subspace(jt::Involute, frame_after::CartesianFrame3D, frame_before::CartesianFrame3D, q::AbstractVector) S = promote_eltype(jt, q) angular = hcat(zero(SMatrix{3,2,S}),jt.k) linear = hcat(zero(SVector{3,S}),jt.j,zero(SVector{3,S})) GeometricJacobian(frame_after, frame_before, frame_after, angular, linear) end @inline function constraint_wrench_subspace(jt::Involute, joint_transform::Transform3D) S = promote_eltype(jt, joint_transform) angular = hcat(jt.i, jt.j, zero(SVector{3, S})) linear = hcat(jt.i, zero(SVector{3, S}), jt.k ) WrenchMatrix(joint_transform.from, angular, linear) end
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@testset "DataMatrix" begin a = @data [1.0, 2.0, 3.0] v_a = [1.0, 2.0, 3.0] b = @data eye(3, 3) m_b = eye(3, 3) # # Transposes # @test all(a' .== v_a') @test all(a'' .== v_a'') @test all(b' .== m_b') @test all(b'' .== m_b'') # # DataVector * DataMatrix # # TODO: Get indexing for b[1, :] to work # @test all(a * b[1, :] .== v_a * m_b[1, :]) # # DataMatrix * DataVector # @test all(b * a .== m_b * v_a) @test all(convert(Array, b * a) .== m_b * v_a) # # DataMatrix * DataMatrix # @test all(b * b .== m_b * m_b) # # DataVector * DataMatrix w/ missings # b[1, 1] = missing res = a * b[1:1, :] @test all(ismissing.(res[:, 1])) @test all(.!(ismissing.(res[:, 2]))) @test all(.!(ismissing.(res[:, 3]))) res = a * b[2:2, :] @test all(.!(ismissing.(res))) # # DataMatrix w missings * DataVector # res = b * a @test ismissing.(res[1]) @test .!(ismissing.(res[2])) @test .!(ismissing.(res[3])) # # DataMatrix * DataMatrix # res = b * b # 3x3 Float64 DataMatrix: # missing missing missing # missing 1.0 0.0 # missing 0.0 1.0 @test ismissing.(res[1, 1]) @test ismissing.(res[1, 2]) @test ismissing.(res[1, 3]) @test ismissing.(res[2, 1]) @test .!(ismissing.(res[2, 2])) @test .!(ismissing.(res[2, 3])) @test ismissing.(res[3, 1]) @test .!(ismissing.(res[3, 2])) @test .!(ismissing.(res[3, 3])) res = b * @data eye(3) # 3x3 Float64 DataMatrix: # missing missing missing # 0.0 1.0 0.0 # 0.0 0.0 1.0 @test ismissing.(res[1, 1]) @test ismissing.(res[1, 2]) @test ismissing.(res[1, 3]) @test .!(ismissing.(res[2, 1])) @test .!(ismissing.(res[2, 2])) @test .!(ismissing.(res[2, 3])) @test .!(ismissing.(res[3, 1])) @test .!(ismissing.(res[3, 2])) @test .!(ismissing.(res[3, 3])) res = (@data eye(3)) * b # julia> dataeye(3) * b # 3x3 Float64 DataMatrix: # missing 0.0 0.0 # missing 1.0 0.0 # missing 0.0 1.0 @test ismissing.(res[1, 1]) @test .!(ismissing.(res[1, 2])) @test .!(ismissing.(res[1, 3])) @test ismissing.(res[2, 1]) @test .!(ismissing.(res[2, 2])) @test .!(ismissing.(res[2, 3])) @test ismissing.(res[3, 1]) @test .!(ismissing.(res[3, 2])) @test .!(ismissing.(res[3, 3])) # Test row operations dm = @data eye(6, 2) # rowmeans(dm) # Test column operations dm = @data eye(6, 2) # colmeans(dm) # Test linear algebra du, dd, dv = svd((@data eye(3, 3))) u, d, v = svd(eye(3, 3)) @test all(du .== u) @test all(dd .== d) @test all(dv .== v) # Test elementary functions dm = -(@data eye(5, 5)) @test all(abs(dm) .== eye(5, 5)) end
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1.916223
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immutable PersistentQueue{T} in::AbstractList{T} out::AbstractList{T} length::Int PersistentQueue(in::AbstractList{T}, out::AbstractList{T}, length::Int) = new(in, out, length) PersistentQueue() = new(EmptyList{T}(), EmptyList{T}(), 0) end PersistentQueue{T}(v::AbstractVector{T}) = PersistentQueue{T}(EmptyList{T}(), reverse(PersistentList(v)), length(v)) queue = PersistentQueue Base.length(q::PersistentQueue) = q.length Base.isempty(q::PersistentQueue) = is(q.length, 0) peek(q::PersistentQueue) = isempty(q.out) ? head(reverse(q.in)) : head(q.out) pop{T}(q::PersistentQueue{T}) = if isempty(q.out) PersistentQueue{T}(EmptyList{T}(), tail(reverse(q.in)), length(q) - 1) else PersistentQueue{T}(q.in, tail(q.out), length(q) - 1) end enq{T}(q::PersistentQueue{T}, val) = if isempty(q.in) && isempty(q.out) PersistentQueue{T}(q.in, val..EmptyList{T}(), 1) else PersistentQueue{T}(val..q.in, q.out, length(q) + 1) end Base.start(q::PersistentQueue) = (q.in, q.out) Base.done{T}(::PersistentQueue{T}, state::(@compat Tuple{EmptyList{T}, EmptyList{T}})) = true Base.done(::PersistentQueue, state) = false function Base.next{T}(::PersistentQueue{T}, state::(@compat Tuple{AbstractList{T}, PersistentList{T}})) in, out = state (head(out), (in, tail(out))) end function Base.next{T}(q::PersistentQueue{T}, state::(@compat Tuple{PersistentList{T}, EmptyList{T}})) in, out = state next(q, (EmptyList{T}(), reverse(in))) end
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2.111675
788
# m5.3.As.jl using Pkg, DrWatson using MonteCarloMeasurements using StanSample using StatisticalRethinking # ### snippet 5.1 df = CSV.read(sr_datadir("WaffleDivorce.csv"), DataFrame); scale!(df, [:Marriage, :MedianAgeMarriage, :Divorce]) # Define the Stan language model stan5_3_A = " data { int N; vector[N] divorce_s; vector[N] marriage_s; vector[N] medianagemarriage_s; } parameters { real a; real bA; real bM; real aM; real bAM; real<lower=0> sigma; real<lower=0> sigma_M; } model { // A -> D <- M vector[N] mu = a + bA * medianagemarriage_s + bM * marriage_s; a ~ normal( 0 , 0.2 ); bA ~ normal( 0 , 0.5 ); bM ~ normal( 0 , 0.5 ); sigma ~ exponential( 1 ); divorce_s ~ normal( mu , sigma ); // A -> M vector[N] mu_M = aM + bAM * medianagemarriage_s; aM ~ normal( 0 , 0.2 ); bAM ~ normal( 0 , 0.5 ); sigma_M ~ exponential( 1 ); marriage_s ~ normal( mu_M , sigma_M ); } "; # Define the SampleModel m5_3_As = SampleModel("m5.3_A", stan5_3_A); # Input data m5_3_A_data = Dict( "N" => size(df, 1), "divorce_s" => df[:, :Divorce_s], "marriage_s" => df[:, :Marriage_s], "medianagemarriage_s" => df[:, :MedianAgeMarriage_s] ); # Sample using cmdstan's sampling option rc5_3_As = stan_sample(m5_3_As, data=m5_3_A_data); if success(rc5_3_As) # Describe the draws part5_3_As = read_samples(m5_3_As, :particles) part5_3_As |> display end # End of m5.3.As.jl
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2.122333
703
""" plot(net::HybridNetwork, method::Symbol) Plot a network using R graphics. `method` should be `:R` (actually, any symbol would do, for now!). optional arguments, shared with the Gadfly-based plot function: - useEdgeLength: if true, the tree edges and major hybrid edges are drawn proportionally to their length. Minor hybrid edges are not, however. Note that edge lengths in coalescent units may scale very poorly with time. - showTipLabel: if true, taxon labels are shown. You may need to zoom out to see them. - showNodeNumber: if true, nodes are labelled with the number used internally. - showEdgeLength: if true, edges are labelled with their length (above) - showGamma: if true, hybrid edges are labelled with their heritability (below) - edgeColor: color for tree edges. black by default. - majorHybridEdgeColor: color for major hybrid edges - minorHybridEdgeColor: color for minor hybrid edges - showEdgeNumber: if true, edges are labelled with the number used internally. - showIntNodeLabel: if true, internal nodes are labelled with their names. Useful for hybrid nodes, which do have tags like 'H1'. - edgeLabel: dataframe with two columns: the first with edge numbers, the second with labels (like bootstrap values) to annotate edges. empty by default. - nodeLabel: dataframe with two columns: the first with node numbers, the second with labels (like bootstrap values for hybrid relationships) to annotate nodes. empty by default. optional arguments specific to this function: - xlim, ylim: array of 2 values - tipOffset: to offset tip labels Note that `plot` actually modifies some (minor) attributes of the network, as it calls `directEdges!`, `preorder!` and `cladewiseorder!`. If hybrid edges cross tree and major edges, you may choose to rotate some tree edges to eliminate crossing edges, using `rotate!` (in [`PhyloNetworks`](http://crsl4.github.io/PhyloNetworks.jl/latest/lib/public/#PhyloNetworks.rotate!)). **Alternative**: a tree or network can be exported with [`sexp`](@ref) and then displayed with R's "plot" and all its options. """ function plot(net::HybridNetwork, method::Symbol; useEdgeLength=false::Bool, mainTree=false::Bool, showTipLabel=true::Bool, showNodeNumber=false::Bool, showEdgeLength=false::Bool, showGamma=false::Bool, edgeColor="black"::String, majorHybridEdgeColor="deepskyblue4"::String, minorHybridEdgeColor="deepskyblue"::String, showEdgeNumber=false::Bool, showIntNodeLabel=true::Bool, edgeLabel=DataFrame()::DataFrame, nodeLabel=DataFrame()::DataFrame, xlim=Float64[]::Array{Float64,1}, ylim=Float64[]::Array{Float64,1}, tipOffset=0.0::Float64, tipcex=1.0::Float64) (edge_xB, edge_xE, edge_yB, edge_yE, node_x, node_y, node_yB, node_yE, xmin, xmax, ymin, ymax) = getEdgeNodeCoordinates(net, useEdgeLength) labelnodes, nodeLabel = checkNodeDataFrame(net, nodeLabel) ndf = prepareNodeDataFrame(net, nodeLabel, showNodeNumber, showIntNodeLabel, labelnodes, node_x, node_y) if (showTipLabel || showNodeNumber || showIntNodeLabel || labelnodes) expfac = 0.1 # force 10% more space to show tip/node/root name expfacy = 0.5 # additive expansion for y axis xmin -= (xmax-xmin)*expfac xmax += (xmax-xmin)*expfac ymin -= expfacy ymax += expfacy end xmax += tipOffset if length(xlim)==2 xmin=xlim[1]; xmax=xlim[2] end if length(ylim)==2 ymin=ylim[1]; ymax=ylim[2] end leaves = [n.leaf for n in net.node] eCol = fill(edgeColor, length(net.edge)) eCol[ [ e.hybrid for e in net.edge] ] .= majorHybridEdgeColor eCol[ [!e.isMajor for e in net.edge] ] .= minorHybridEdgeColor R""" plot($(node_x[leaves]), $(node_y[leaves]), type='n', xlim=c($xmin,$xmax), ylim=c($ymin,$ymax), axes=FALSE, xlab='', ylab='') segments($edge_xB, $edge_yB, $edge_xE, $edge_yE, col=$eCol) segments($node_x, $node_yB, $node_x, $node_yE, col=$edgeColor) """ if showTipLabel R"text"(node_x[leaves] .+ tipOffset, node_y[leaves], tipLabels(net), adj=0, font=3, cex=tipcex) end if showIntNodeLabel R"text"(ndf[.!ndf[!,:lea],:x], ndf[.!ndf[!,:lea],:y], ndf[.!ndf[!,:lea],:name], font=3, cex=tipcex, adj=[.5,0]) end if showNodeNumber R"text"(ndf[!,:x], ndf[!,:y], ndf[!,:num], adj=1) end if labelnodes R"text"(ndf[!,:x], ndf[!,:y], ndf[!,:lab], adj=1) end labeledges, edf = prepareEdgeDataFrame(net, edgeLabel, mainTree, edge_xB, edge_xE, edge_yB, edge_yE) if labeledges R"text"(edf[!,:x], edf[!,:y], edf[!,:lab], adj=[.5,0]) end if showEdgeLength R"text"(edf[!,:x], edf[!,:y], edf[!,:len], adj=[.5,1.]) end if (showGamma && net.numHybrids>0) im = edf[!,:hyb] .& edf[!,:min] iM = edf[!,:hyb] .& .!edf[!,:min] R"text"(edf[im,:x], edf[im,:y], edf[im,:gam], adj=[.5,1], col=minorHybridEdgeColor) R"text"(edf[iM,:x], edf[iM,:y], edf[iM,:gam], adj=[.5,1], col=majorHybridEdgeColor) end if showEdgeNumber R"text"(edf[!,:x], edf[!,:y], edf[!,:num], adj=[.5,0]) end return (xmin, xmax, ymin, ymax, node_x, node_y, node_yB, node_yE, edge_xB, edge_xE, edge_yB, edge_yE, ndf, edf) end
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2.436588
2,192
using EVQueues, PGFPlots lambda=120.0; mu=1.0; gamma=0.5; #C=80.0; C=60.0; Tfinal=100.0; edf = ev_edf(lambda,mu,gamma,Tfinal,C,snapshots=[Tfinal]) llf = ev_llf(lambda,mu,gamma,Tfinal,C,snapshots=[Tfinal]) llr = ev_llr(lambda,mu,gamma,Tfinal,C,snapshots=[Tfinal]) #compute_statistics!(sim) fig = Axis([ Plots.Linear([ev.requestedEnergy for ev in edf.EVs][6000:10:end],[ev.requestedEnergy-ev.departureWorkload for ev in edf.EVs][6000:10:end], style="solid,only marks=true,blue", legendentry="EDF"), Plots.Linear([ev.requestedEnergy for ev in llf.EVs][6000:10:end],[ev.requestedEnergy-ev.departureWorkload for ev in llf.EVs][6000:10:end], style="solid,only marks=true,red", legendentry="LLF"), Plots.Linear([ev.requestedEnergy for ev in llr.EVs][6000:10:end],[ev.requestedEnergy-ev.departureWorkload for ev in llr.EVs][6000:10:end], style="solid,only marks=true,green", legendentry="LLR"), ], legendPos="north west", xlabel="Requested Service (\$S\$)", ylabel="Attained Service (\$S_r\$)", xmin=0, xmax=3, ymin=0, ymax=3, width="0.7\\columnwidth", height="0.4\\columnwidth" ); save("/tmp/sigma_compare.tex",fig,include_preamble=false)
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2.233886
543
#= https://dtai.cs.kuleuven.be/problog/tutorial/basic/03_dice.html """ Let’s consider an infinite number of dice, which we roll one after the other until we see a six for the first time. What is the probability of stopping after n dice? The first die is always rolled, those with higher numbers D are only rolled if the previous roll did not stop the process. """ Cf dice_6_throws.jl ~/blog/rolling_dice4.blog ~/psi/rolling_dice4.psi ~/webppl/rolling_dice4.wppl Theoretical values (1:50) 1:0.16666666666666666 2:0.1388888888888889 3:0.11574074074074076 4:0.09645061728395063 5:0.08037551440329219 6:0.06697959533607684 7:0.05581632944673069 8:0.04651360787227558 9:0.038761339893562986 10:0.032301116577969156 11:0.02691759714830763 12:0.022431330956923026 13:0.018692775797435855 14:0.015577313164529882 15:0.012981094303774901 16:0.010817578586479085 17:0.009014648822065905 18:0.0075122073517215875 19:0.006260172793101323 20:0.005216810660917769 21:0.0043473422174314744 22:0.003622785181192896 23:0.0030189876509940797 24:0.002515823042495067 25:0.002096519202079222 26:0.0017470993350660188 27:0.0014559161125550157 28:0.0012132634271291797 29:0.0010110528559409832 30:0.0008425440466174861 31:0.0007021200388479051 32:0.0005851000323732542 33:0.0004875833603110452 34:0.00040631946692587105 35:0.00033859955577155923 36:0.0002821662964762994 37:0.00023513858039691615 38:0.00019594881699743015 39:0.0001632906808311918 40:0.0001360755673593265 41:0.00011339630613277208 42:9.449692177731006e-5 43:7.874743481442506e-5 44:6.562286234535421e-5 45:5.468571862112852e-5 46:4.5571432184273776e-5 47:3.797619348689481e-5 48:3.164682790574568e-5 49:2.63723565881214e-5 50:2.19769638234345e-5 The values found by this model (run_model(0)) 1.00000 => 6631 (0.165775) 2.00000 => 5661 (0.141525) 3.00000 => 4593 (0.114825) 4.00000 => 3867 (0.096675) 5.00000 => 3215 (0.080375) 6.00000 => 2700 (0.067500) 7.00000 => 2210 (0.055250) 8.00000 => 1845 (0.046125) 9.00000 => 1515 (0.037875) 10.00000 => 1282 (0.032050) 11.00000 => 1137 (0.028425) 12.00000 => 881 (0.022025) 13.00000 => 728 (0.018200) 14.00000 => 567 (0.014175) 15.00000 => 505 (0.012625) 16.00000 => 459 (0.011475) 17.00000 => 364 (0.009100) 18.00000 => 301 (0.007525) 19.00000 => 245 (0.006125) 20.00000 => 225 (0.005625) 22.00000 => 163 (0.004075) 21.00000 => 154 (0.003850) 23.00000 => 126 (0.003150) 24.00000 => 117 (0.002925) 25.00000 => 83 (0.002075) 26.00000 => 65 (0.001625) 27.00000 => 54 (0.001350) 30.00000 => 48 (0.001200) 28.00000 => 45 (0.001125) 29.00000 => 36 (0.000900) 31.00000 => 36 (0.000900) 32.00000 => 27 (0.000675) 34.00000 => 22 (0.000550) 33.00000 => 20 (0.000500) 35.00000 => 12 (0.000300) 37.00000 => 9 (0.000225) 38.00000 => 7 (0.000175) 39.00000 => 6 (0.000150) 42.00000 => 5 (0.000125) 40.00000 => 5 (0.000125) 36.00000 => 5 (0.000125) 46.00000 => 4 (0.000100) 41.00000 => 4 (0.000100) 44.00000 => 3 (0.000075) 47.00000 => 3 (0.000075) 48.00000 => 3 (0.000075) 57.00000 => 2 (0.000050) 49.00000 => 1 (0.000025) 45.00000 => 1 (0.000025) 50.00000 => 1 (0.000025) 43.00000 => 1 (0.000025) 72.00000 => 1 (0.000025) =# using Turing, StatsPlots, DataFrames include("jl_utils.jl") # Closed form of the probability function theoretical_prob(n) return (1/6.0) * ((5/6.0)^(n-1)) end # For val = 0: show the full distribution of the length (len) # otherwise show the probability of len == val @model function dice_6_throws(val=0) max_len = 100 function throws(a) if length(a) > max_len return a end # For some reason, this don't work: it just generates the same number repeatedly. # t ~ DiscreteUniform(1,6) t = rand(DiscreteUniform(1,6)) # This works. # If we see a 6 then we stop if t == 6 return vcat(a,t) else return throws(vcat(a,t)) end end len ~ DiscreteUniform(0,max_len) # a = throws(TArray{Int64}(undef,0)) a = throws(Int64[]) len = length(a) if val == 0 return len else return len == val end end function run_model(len=0) model = dice_6_throws(len) num_chains = 4 # chains = sample(model, Prior(), 10_000) # chains = sample(model, MH(), MCMCThreads(), 100_000, num_chains) chains = sample(model, MH(), MCMCThreads(), 10_000, num_chains) # chains = sample(model, MH(), 10_000) # chains = sample(model, MH(), 1_000) # chains = sample(model, PG(15), MCMCThreads(), 1_000, num_chains) # chains = sample(model, SMC(1000), MCMCThreads(), 10_000, num_chains) # chains = sample(model, SMC(1000), 10_000) # chains = sample(model, IS(), 10_000) # # display(chains) # show_var_dist_pct(chains,:len,1000) println("prob return value:") genq = generated_quantities(model, chains) show_var_dist_pct(genq,1000) if len > 0 println("\ntheoretical_prob($len): ", theoretical_prob(len)) end end for val in 0:10 println("\nval:$val") run_model(val) end println("\nval:25") run_model(25) println("\nTheoretical values for 1:50") for i in 1:50 println("$i:", theoretical_prob(i)) end
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437, 198 ]
2.033073
2,691
using Gurobi using Mosek # train adversarial method with kernel using constraint generation function train_adv_kernel_cg(X::Matrix, y::Vector, C::Real=1.0, kernel::Symbol=:linear, kernel_params::Vector=[]; perturb::Real=0.0, tol::Real=1e-6, psdtol::Real=1e-6, obj_reltol::Real=0.0, log::Real=0, n_thread::Int=0, solver::Symbol=:gurobi, verbose::Bool=true) n = length(y) # add one X1 = [ones(n) X]' # transpose m = size(X1, 1) # number of class n_c = maximum(y) n_f = n_c * m # number of features alpha = zeros(0) # array of tuple constraints = Tuple{Integer, Vector}[] # prepare saved vars idmi = map(i -> idi(m, i), collect(1:n_c)) # kernel kernel_func = linear_kernel if kernel == :gaussian kernel_func = gaussian_kernel elseif kernel == :polynomial kernel_func = polynomial_kernel end # precompute kernel K = [( i >= j ? kernel_func(X1[:,i], X1[:,j], kernel_params...) : 0.0 )::Float64 for i=1:n, j=1:n] K = [( i >= j ? K[i,j] : K[j,i] )::Float64 for i=1:n, j=1:n] if solver == :gurobi # gurobi solver # gurobi environtment env = Gurobi.Env() # Method : 0=primal simplex, 1=dual simplex, 2=barrier ; default for QP: barrier # Threads : default = 0 (use all threads) setparams!(env, PSDTol=psdtol, LogToConsole=log, Method=2, Threads=n_thread) elseif solver == :mosek # mosek environtment env = makeenv() end # params for Gurobi Q = zeros(0,0) nu = zeros(0) A = spzeros(n, 0) # sparse matrix b = ones(n) * C Q_prev = zeros(0,0) nu_prev = zeros(0) A_prev = spzeros(n, 0) # sparse matrix # save lambda dot psi_i n_lps = n * n_c LPsi = zeros(n_lps, 0) LPsi_prev = zeros(n_lps, 0) iter = 0 dual_obj = 0.0 dual_obj_prev = 0.0 while true iter += 1 if verbose println("Iteration : ", iter) tic(); end # previous constraints const_prev = copy(constraints) # previous alpha alpha_prev = copy(alpha) ## add to constraints const_added = Tuple{Integer, Vector}[] # find constraint for each sample for i=1:n psis = psi_list_dual(alpha, LPsi, i, n_c) psis_id, val = best_psis(psis) # most violated constraints # current xi_i id_i = find(x -> x[1] == i, constraints) xi_i_list = map(x -> x[2], constraints[id_i]) max_xi_i = 0 for j = 1:length(xi_i_list) a = calc_const(psis::Vector, xi_i_list[j]) if a > max_xi_i max_xi_i = a end end if val > max_xi_i cs = (i, sort!(psis_id)) if findfirst(constraints .== cs) == 0 push!(constraints, cs) push!(const_added, cs) end end end # if no constraints added if length(const_added) == 0 break end n_const = length(constraints) #### Start QP ### if verbose println(">> Start QP") toc(); tic(); end n_prev = length(const_prev) n_added = length(const_added) # init alpha with previous iteration alpha = zeros(n_const) alpha[1:n_prev] = alpha_prev Q_aug = [ ( calc_dot((const_prev[i][1], const_prev[i][2], const_added[j][1], const_added[j][2]), K, y) )::Float64 for i=1:n_prev, j=1:n_added] Q_aug_diag = [ ( i >= j ? calc_dot((const_added[i][1], const_added[i][2], const_added[j][1], const_added[j][2]), K, y) : 0.0 )::Float64 for i=1:n_added, j=1:n_added] Q_aug_diag = [ (i >= j ? Q_aug_diag[i,j] : Q_aug_diag[j,i] )::Float64 for i=1:n_added, j=1:n_added ] Q = [ ( (i <= n_prev && j <= n_prev) ? Q_prev[i, j] : ( i <= n_prev ? Q_aug[i, j-n_prev] : ( j <= n_prev ? Q_aug[j, i-n_prev] : Q_aug_diag[i-n_prev, j-n_prev] ) ) )::Float64 for i=1:n_const, j=1:n_const] nu_aug = [ ( calc_cconst(const_added[i][2]) )::Float64 for i=1:n_added ] nu = [ ( i <= n_prev ? nu_prev[i] : nu_aug[i-n_prev] )::Float64 for i=1:n_const] A_aug = spzeros(n, n_added) for j = 1:n_added A_aug[const_added[j][1], j] = 1.0 end A = [A_prev A_aug] # update LPsi LPsi_aug = [ ( calc_dot((ceil(Int64, i/n_c), [(i%n_c==0)? n_c:i%n_c], const_added[j][1], const_added[j][2]), K, y) )::Float64 for i=1:n_lps, j=1:n_added] LPsi = [LPsi_prev LPsi_aug] ## add perturbation for i=1:n_const Q[i,i] = Q[i,i] + perturb end if verbose toc(); tic(); end if solver == :gurobi if verbose println(">> Optim :: Gurobi") end ## init model model = gurobi_model(env, sense = :minimize, H = Q, f = -nu, A = A, b = b, lb = zeros(n_const) ) # Print the model to check correctness # print(model) # Solve with Gurobi Gurobi.optimize(model) if verbose toc(); println("<< End QP") end dual_obj = -get_objval(model) # Solution if verbose println("Objective value: ", dual_obj) end # get alpha alpha = get_solution(model) # println("alpha = ", alpha) # # println("constraints = ", constraints) if verbose println("n constraints = ", length(constraints)) end ### end QP ### elseif solver == :mosek if verbose println(">> Optim :: Mosek") end task = maketask(env) # set params putintparam(task, Mosek.MSK_IPAR_LOG, 1) putintparam(task, Mosek.MSK_IPAR_LOG_CHECK_CONVEXITY, 1) putdouparam(task, Mosek.MSK_DPAR_CHECK_CONVEXITY_REL_TOL, psdtol) # variables appendvars(task, n_const) # bound on var for i::Int32 = 1:n_const putbound(task, Mosek.MSK_ACC_VAR, i, Mosek.MSK_BK_RA, 0.0, C) end # objective putobjsense(task, Mosek.MSK_OBJECTIVE_SENSE_MINIMIZE) qi = zeros(Int32, (n_const * (n_const+1)) ÷ 2 ) qj = zeros(Int32, (n_const * (n_const+1)) ÷ 2 ) qv = zeros(Float64, (n_const * (n_const+1)) ÷ 2 ) ix = 1 for j::Int32 = 1:n_const for i::Int32 = j:n_const qi[ix] = i qj[ix] = j qv[ix] = Q[i,j] ix += 1 end end putqobj(task, qi, qj, qv) putclist(task, collect(1:n_const), -nu) # constraints ## sparse array appendcons(task, n) for i::Int32 = 1:n_const id_nz = A[:,i].nzind putacol(task, i, id_nz, ones(length(id_nz))) end for i::Int32 = 1:n putbound(task, Mosek.MSK_ACC_CON, i, Mosek.MSK_BK_RA, 0.0, C) end if verbose toc(); tic(); end Mosek.optimize(task) if verbose toc(); println("<< End QP") end # Solution dual_obj, _ = getsolutioninfo(task, Mosek.MSK_SOL_ITR) if verbose println("Objective value: ", -dual_obj) end # get alpha alpha = getxx(task, Mosek.MSK_SOL_ITR) if verbose println("n constraints = ", length(constraints)) end end if obj_reltol > 0.0 if (dual_obj - dual_obj_prev) / dual_obj_prev < obj_reltol && iter > 1 if verbose println((dual_obj - dual_obj_prev) / dual_obj_prev) println(">> Iteration STOPPED | Objective relative tolerance : ", obj_reltol) end break end end if verbose println() end Q_prev = Q nu_prev = nu A_prev = A LPsi_prev = LPsi dual_obj_prev = dual_obj end # finalizing losses gv_aug = zeros(n) gv_01 = zeros(n) l_adv = zeros(n) l_01 = zeros(n) for i=1:n psis = psi_list_dual(alpha, LPsi, i, n_c) psis_id, val = best_psis(psis) # most violated constraints n_ps = length(psis_id) gv_aug[i] = val # compute probs p_hat = zeros(n_c) p_check = zeros(n_c) for j=1:n_c if j in psis_id p_hat[j] = ( (n_ps-1.0)*psis[j] - sum(psis[psis_id[psis_id .!= j]]) + 1.0 ) / n_ps p_check[j] = 1.0 / n_ps else p_hat[j] = 0.0 p_check[j] = 0.0 end end C01 = 1 - eye(n_c) # 01 loss matrix v = p_hat' * C01 * p_check # the result is vector size 1 not a number gv_01[i] = v[1] # ## training loss l_adv[i] = 1.0 - p_hat[y[i]] l_01[i] = 1.0 - round(Int, indmax(p_hat) == y[i]) end game_value_01 = mean(gv_01) game_value_augmented = mean(gv_aug) # create model adv_model = KernelMultiAdversarialModel(kernel, kernel_params, alpha, constraints, n_c, game_value_01, game_value_augmented, mean(l_adv), mean(l_01)) return adv_model::KernelMultiAdversarialModel end function predict_adv_kernel(model::KernelMultiAdversarialModel, X_test::Matrix, X_train::Matrix, y_train::Vector) alpha = model.alpha n_c = model.n_class n = size(X_test, 1) constraints = model.constraints n_const = length(alpha) X1 = [ones(n) X_test]' # transpose m = size(X1, 1) # training data n_tr = size(X_train, 1) X1_tr = [ones(n_tr) X_train]' # transpose # kernel kernel = model.kernel kernel_params = model.kernel_params # kernel function kernel_func = linear_kernel if kernel == :gaussian kernel_func = gaussian_kernel elseif kernel == :polynomial kernel_func = polynomial_kernel end # compute Kernel K = [ kernel_func(X1_tr[:,i], X1[:,j], kernel_params...)::Float64 for i=1:n_tr, j=1:n] prob = zeros(n, n_c) pred = zeros(n) for i=1:n psis = zeros(n_c) for j = 1:n_const psis -= alpha[j] * calc_dotlphi( (constraints[j][1], constraints[j][2], i), K, y_train, n_c) end psis_id, val = best_psis(psis) # most violated constraints n_ps = length(psis_id) for j=1:n_c if j in psis_id prob[i,j] = ( (n_ps-1.0)*psis[j] - sum(psis[psis_id[psis_id .!= j]]) + 1.0 ) / n_ps else prob[i,j] = 0.0 end end pred[i] = indmax(psis) end return prob::Matrix{Float64}, pred::Vector{Float64} end function test_adv_kernel(model::KernelMultiAdversarialModel, X_test::Matrix, y_test::Vector, X_train::Matrix, y_train::Vector) n = size(X_test, 1) y_prob, y_pred = predict_adv_kernel(model, X_test, X_train, y_train) # calculate testing loss losses = zeros(n) losses01 = zeros(n) for i=1:n losses[i] = 1.0 - y_prob[i, y_test[i]] losses01[i] = 1.0 - round(Int, y_pred[i] == y_test[i]) end loss = sum(losses) / n loss01 = sum(losses01) / n return loss::Float64, losses::Vector{Float64}, loss01::Float64, losses01::Vector{Float64}, y_prob::Matrix{Float64}, y_pred::Vector{Float64} end
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2.02935
5,213
## ---------------------------------------------------------------------------- # proj 2D let method = ME_MAX_POL biom_ider = iJR.BIOMASS_IDER ps_pool = Dict() for exp in EXPS datfile = ME_INDEX[method, :DFILE, exp] dat = deserialize(datfile) model = dat[:model] for Hd_ider in FLX_IDERS # 2D Projection p = plot(;title = string("Heerden2013, exp", exp), xlabel = string(biom_ider), ylabel = string(Hd_ider), legend = :right ) proj = DAT[method, :ep, :proj, Hd_ider, exp] ChP.plot_projection2D!(p, proj; l = 50) # bounds lb, ub = DAT[method, :bounds, :flx, Hd_ider, exp] hline!(p, [lb]; lw = 3, label = "fva lb", color = :blue, ls = :solid ) hline!(p, [ub]; lw = 3, label = "fva ub", color = :red, ls = :solid ) # EXPERIMENTAL FLXS exp_biom = DAT[method, :Hd, :flx, biom_ider, exp] exp_exch = DAT[method, :Hd, :flx, Hd_ider, exp] scatter!(p, [exp_biom], [exp_exch]; m = 8, color = :red, label = "exp" ) # MAXENT FLXS ep_biom = DAT[method, :ep, :flx, biom_ider, exp] ep_biom_err = DAT[method, :eperr, :flx, biom_ider, exp] ep_exch = DAT[method, :ep, :flx, Hd_ider, exp] ep_exch_err = DAT[method, :eperr, :flx, Hd_ider, exp] scatter!(p, [ep_biom], [ep_exch]; xerr = [ep_biom_err], yerr = [ep_exch_err], m = 8, color = :blue, label = "maxent" ) # mysavefig(p, "polytope"; Hd_ider, exp, method) ps_pool[(exp, Hd_ider)] = deepcopy(p) end end # collect for exp in EXPS ps = Plots.Plot[ps_pool[(exp, Hd_ider)] for Hd_ider in FLX_IDERS] mysavefig(ps, "polytope"; exp, method) end for Hd_ider in FLX_IDERS ps = Plots.Plot[ps_pool[(exp, Hd_ider)] for exp in EXPS] mysavefig(ps, "polytope"; Hd_ider, method) end end
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using Base.Iterators abstract type Part1 end abstract type Part2 end function update!(::Type{Part1}, grid::AbstractMatrix{Char}) previous = copy(grid) updated = false for j in 1:size(grid, 2), i in 1:size(grid, 1) middle = previous[i, j] switch = true numoccupied = 0 for (δj, δi) in product([-1, 0, 1], [-1, 0, 1]) δi == δj == 0 && continue try neighbor = previous[i + δi, j + δj] if neighbor == '#' middle == 'L' && (switch = false) middle == '#' && (numoccupied += 1) end catch end end middle == 'L' && switch && (grid[i, j] = '#'; updated = true) middle == '#' && numoccupied ≥ 4 && (grid[i, j] = 'L'; updated = true) end updated end const Site = Tuple{Int, Int} function visibility(init::AbstractMatrix{Char}) N, M = size(init) visible = Dict{Site, Vector{Site}}() for j in 1:M, i in 1:N if init[i, j] != '.' for (δj, δi) in product([-1, 0, 1], [-1, 0, 1]) δi == δj == 0 && continue u, v = i + δi, j + δj try while init[u, v] == '.' u += δi v += δj end if haskey(visible, (i, j)) push!(visible[(i, j)], (u, v)) else visible[(i, j)] = [(u, v)] end catch end end end end visible end function update!(::Type{Part2}, grid::AbstractMatrix{Char}, visible) previous = copy(grid) updated = false for (i, j) in keys(visible) if previous[i, j] == 'L' switch = true for (u, v) in visible[(i, j)] if previous[u, v] == '#' switch = false end end switch && (grid[i, j] = '#'; updated = true) elseif previous[i, j] == '#' numoccupied = 0 for (u, v) in visible[(i, j)] if previous[u, v] == '#' numoccupied += 1 end end numoccupied ≥ 5 && (grid[i, j] = 'L'; updated = true) end end updated end function part1(grid) while update!(Part1, grid) end sum(grid .== '#') end function part2(grid) visible = visibility(grid) while update!(Part2, grid, visible) end sum(grid .== '#') end let init = hcat(collect.(readlines("input.txt"))...) @info "Solution" part1(init) part2(init) end
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set_global_client() @testset "Pipeline - Basic" begin pipe = Pipeline() @test length(pipe.resp) == 0 for _ in 1:1000 lrange("nothing", 0, -1; client=pipe) end @test length(pipe.resp) == 1000 result = execute(pipe) @test result == fill([], 1000) @test length(pipe.resp) == 0 end @testset "Pipeline - Do Block" begin result = pipeline() do pipe for _ in 1:1000 lrange("nothing", 0, -1; client=pipe) end end @test result == fill([], 1000) end @testset "Pipeline - MULTI/EXEC" begin no_filter_result = pipeline(; filter_multi_exec=false) do pipe multi(; client=pipe) for _ in 1:1000 lrange("nothing", 0, -1; client=pipe) end exec(; client=pipe) end @test length(no_filter_result) == 1002 @test no_filter_result[1] == "OK" @test no_filter_result[2:length(no_filter_result)-1] == fill("QUEUED", 1000) @test no_filter_result[end] == fill([], 1000) filter_result = pipeline(; filter_multi_exec=true) do pipe multi_exec(; client=pipe) do for _ in 1:1000 lrange("nothing", 0, -1; client=pipe) end end end @test length(filter_result) == 1 @test filter_result[1] == fill([], 1000) end flushall()
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#== # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # Description # # Tests related to IAU-2006 precession-nutation algorithm. # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # References # # [1] Vallado, D. A (2013). Fundamentals of Astrodynamics and Applications. # Microcosm Press, Hawthorn, CA, USA. # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ==# # File: ./src/transformations/precession_nutation_iau2006.jl # ========================================================== # Function precession_nutation_iau2006 # ------------------------------------ ################################################################################ # Test Results ################################################################################ # # Scenario 01 # =========== # # Example 3-14: Performing an IAU-2000 reduction [1, p. 220] # # According to this example, using JD_TT = 2453101.828154745, one gets: # # X = 80.531880" # Y = 7.273921" # s = -0.003027" # ################################################################################ @testset "Function precession_nutation_iau2006" begin JD_TT = 2453101.828_154_745 X,Y,s = precession_nutation_iau2006(JD_TT) @test X*180/pi*3600 ≈ 80.531880 atol = 5e-5 @test Y*180/pi*3600 ≈ 7.273921 atol = 5e-5 @test s*180/pi*3600 ≈ -0.003027 atol = 1e-6 end
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### A Pluto.jl notebook ### # v0.18.4 using Markdown using InteractiveUtils # ╔═╡ 3e14817e-85f8-4d5b-8a8f-075d1799ed27 using AbstractTrees, PlutoUI, Random, Wordlegames # ╔═╡ ed649770-a53a-11ec-0434-1bbbc561f8cb # hideall title = "Wordle games as a tree"; # ╔═╡ 021364a8-f40b-49fe-9a02-406c0044c9ed """ +++ title = "$title" +++ """ |> Base.Text # ╔═╡ c49e1040-67c8-4386-a6ce-bbbeace8bc90 md""" # $title As described in the previous tutorial, strategies such as maximizing the entropy or minimizing the expected pool size for the next stage can be used to select guesses automatically in Wordle or related games. When doing so the possible games can be represented in a data structure called a [tree](https://en.wikipedia.org/wiki/Tree_(data_structure)). Some of the terminology used with these structures is based on concepts of a family tree. First attach some packages that will be used """ # ╔═╡ cec480d3-7348-4d14-9628-007893713a07 md"and create an instance of `wordle` where the guesses are chosen to maximize the entropy, which is the default criterion." # ╔═╡ 9586bcbd-16aa-4598-8faa-8220755566e6 begin datadir = joinpath(pkgdir(Wordlegames), "data") wordle = GamePool(collect(readlines(joinpath(datadir, "Wordletargets.txt")))) end; # ╔═╡ ddc457c3-f207-4ed1-8a8a-7f1c4cfdaed7 md"Finally, we create a tree from the games for a random selection of 25 targets." # ╔═╡ 52ed4682-a0d7-44cf-b878-27f1cf9cc91d gametree25 = tree(wordle, Random.seed!(1234321), 25); # ╔═╡ 86d0bb82-ed8f-4b03-b90c-31c55e556bae md""" ## The AbstractTrees package The [AbstractTrees](https://github.com/JuliaCollections/AbstractTrees.jl) package provides many methods for working with tree data structures. One of the most useful is `print_tree` which, as the name suggests, prints the tree in a special format. (Because the content for these tutorials is generated as [Pluto](https://github.com/fonsp/Pluto.jl.git) notebooks, we need to wrap the call to `print_tree` in `with_terminal() do ... end` to have the output displayed. Outside of Pluto this is not necessary. """ # ╔═╡ 30ba17b1-9c0c-4fd6-9f40-3c3c1c986e93 with_terminal() do print_tree(gametree25; maxdepth=8) end # ╔═╡ 384abc84-3fda-4ba3-b52e-2d46052b8ce6 md""" Each guess in a game constitutes a `"node"` in the tree. The initial guess in any of the games is `"raise"`, which is the `"root"` node for the tree. A node can have zero or more `"children"` which are its immediate descendents. The nodes in this tree are each a `GameNode` struct with a `"children"` field. """ # ╔═╡ 0c24b1ca-b36a-46f6-9da7-e5c3e3670d29 typeof(gametree25) # ╔═╡ 68f9375f-31af-4916-933f-fb41905819f8 fieldnames(GameNode) # ╔═╡ e1735528-469e-4a17-8b8a-d95dca03f46c length(gametree25.children) # number of children of the root node # ╔═╡ 112b0452-7ae4-49b4-bbdd-54fb00ff8bdb md""" The `score` field of a `GameNode` is similar to the elements of the `guesses` field of a `GamePool` object but with one important difference. In a `GameNode` the `score` and `sc` fields are the score that will produce the guess, as opposed to the score for the guess, That is, the first child of `"raise"` is `"pilot"` which is the next guess in a game in which `"raise"` returns a score of `"🟫🟫🟨🟫🟫"` as tiles or 9 as a decimal number. """ # ╔═╡ f8f1521c-fbbb-4648-af9c-0a15c7e787ff first(gametree25.children).score # ╔═╡ 1dd5c9fb-820f-41c6-b796-494d68479f1c md""" The 16 children of the root node from these 25 games are """ # ╔═╡ 8302e26a-53ae-4f9f-9579-26a1c839c865 [child.score.guess for child in gametree25.children] # ╔═╡ 7f4a7f14-fe77-43fa-b2dd-37ba70cf9da3 md""" Some of these children have many descendents. When generating the tree the children of a node are ordered according to the size of the tree rooted at that node. Because a subtree is exactly the same type of structure as a tree, we can print a subtree with `print_tree`. """ # ╔═╡ 088ca1f6-44c3-4d0d-a68b-c71881813410 with_terminal() do print_tree(first(gametree25.children)) end # ╔═╡ 785fe89b-4008-437a-ac73-2bdaa26e7cf6 md""" We see that the size of the tree rooted at `"pilot"` is 10. """ # ╔═╡ 8d83a193-aed2-4c1d-8bc5-614a81d16548 md""" The "leaves" of a tree are the terminal nodes, i.e. the nodes that do not have children. """ # ╔═╡ 576d0904-3f3e-49e8-9ce7-ccdd8767bf1b [leaf.score.guess for leaf in Leaves(gametree25)] # ╔═╡ 144a9d04-f971-48d9-ace4-dd0156f591c2 md""" It happens in this case that all of the targets that generated the tree are leaves in this tree, but that is not necessarily the case. """ # ╔═╡ 105a0522-729a-49ea-b0a5-62b868ba5e45 length(collect(Leaves(gametree25))) # ╔═╡ efcb3473-6ea1-459c-9995-32b0a407a2f4 md""" ## Creating the tree structure As a language Julia gets high marks for "composability" - the ability to adapt one package to use concepts from another package. The use of generic functions and multiple dispatch is central to this enhanced compositibility. All that is necessary to use many of the functions in `AbstractTrees.jl` on the trees created from a collection of games using a particular `GamePool` is to define the `GameNode` struct, the method of generating the tree, and methods for `AbstractTrees.children`, `AbstractTrees.nodetype` and `AbstractTrees.printnode` """ # ╔═╡ 00000000-0000-0000-0000-000000000001 PLUTO_PROJECT_TOML_CONTENTS = """ [deps] AbstractTrees = "1520ce14-60c1-5f80-bbc7-55ef81b5835c" PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8" Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" Wordlegames = "1cb69566-e1cf-455f-a587-fd79a2e00f5a" [compat] AbstractTrees = "~0.3.4" PlutoUI = "~0.7.38" Wordlegames = "~0.3.0" """ # ╔═╡ 00000000-0000-0000-0000-000000000002 PLUTO_MANIFEST_TOML_CONTENTS = """ # This file is machine-generated - editing it directly is not advised julia_version = "1.8.0-beta3" manifest_format = "2.0" project_hash = "2c8800ff06b3096b67485eb059a224666198ba30" [[deps.AbstractPlutoDingetjes]] deps = ["Pkg"] 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"1.4.1" [[deps.Parsers]] deps = ["Dates"] git-tree-sha1 = "621f4f3b4977325b9128d5fae7a8b4829a0c2222" uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0" version = "2.2.4" [[deps.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" version = "1.8.0" [[deps.PlutoUI]] deps = ["AbstractPlutoDingetjes", "Base64", "ColorTypes", "Dates", "Hyperscript", "HypertextLiteral", "IOCapture", "InteractiveUtils", "JSON", "Logging", "Markdown", "Random", "Reexport", "UUIDs"] git-tree-sha1 = "670e559e5c8e191ded66fa9ea89c97f10376bb4c" uuid = "7f904dfe-b85e-4ff6-b463-dae2292396a8" version = "0.7.38" [[deps.PooledArrays]] deps = ["DataAPI", "Future"] git-tree-sha1 = "28ef6c7ce353f0b35d0df0d5930e0d072c1f5b9b" uuid = "2dfb63ee-cc39-5dd5-95bd-886bf059d720" version = "1.4.1" [[deps.PrettyTables]] deps = ["Crayons", "Formatting", "Markdown", "Reexport", "Tables"] git-tree-sha1 = "dfb54c4e414caa595a1f2ed759b160f5a3ddcba5" uuid = "08abe8d2-0d0c-5749-adfa-8a2ac140af0d" version = "1.3.1" [[deps.Printf]] deps = ["Unicode"] uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7" [[deps.REPL]] deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"] uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb" [[deps.Random]] deps = ["SHA", "Serialization"] uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" [[deps.Reexport]] git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b" uuid = "189a3867-3050-52da-a836-e630ba90ab69" version = "1.2.2" [[deps.SHA]] uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce" version = "0.7.0" [[deps.Serialization]] uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b" [[deps.SharedArrays]] deps = ["Distributed", "Mmap", "Random", "Serialization"] uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383" [[deps.Sockets]] uuid = "6462fe0b-24de-5631-8697-dd941f90decc" [[deps.SortingAlgorithms]] deps = ["DataStructures"] git-tree-sha1 = "b3363d7460f7d098ca0912c69b082f75625d7508" uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c" version = "1.0.1" [[deps.SparseArrays]] deps = ["LinearAlgebra", "Random"] uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" [[deps.Statistics]] deps = ["LinearAlgebra", "SparseArrays"] uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2" [[deps.TOML]] deps = ["Dates"] uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76" version = "1.0.0" [[deps.TableTraits]] deps = ["IteratorInterfaceExtensions"] git-tree-sha1 = "c06b2f539df1c6efa794486abfb6ed2022561a39" uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c" version = "1.0.1" [[deps.Tables]] deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "OrderedCollections", "TableTraits", "Test"] git-tree-sha1 = "5ce79ce186cc678bbb5c5681ca3379d1ddae11a1" uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c" version = "1.7.0" [[deps.Tar]] deps = ["ArgTools", "SHA"] uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e" version = "1.10.0" [[deps.Test]] deps = ["InteractiveUtils", "Logging", "Random", "Serialization"] uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40" [[deps.UUIDs]] deps = ["Random", "SHA"] uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4" [[deps.Unicode]] uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5" [[deps.Wordlegames]] deps = ["AbstractTrees", "DataFrames", "Random", "Tables"] git-tree-sha1 = "4c463de78d2f3f9447b695e241eba43cc945f866" uuid = "1cb69566-e1cf-455f-a587-fd79a2e00f5a" version = "0.3.0" [[deps.Zlib_jll]] deps = ["Libdl"] uuid = "83775a58-1f1d-513f-b197-d71354ab007a" version = "1.2.12+1" [[deps.libblastrampoline_jll]] deps = ["Artifacts", "Libdl", "OpenBLAS_jll"] uuid = "8e850b90-86db-534c-a0d3-1478176c7d93" version = "5.1.0+0" [[deps.nghttp2_jll]] deps = ["Artifacts", "Libdl"] uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" version = "1.41.0+1" [[deps.p7zip_jll]] deps = ["Artifacts", "Libdl"] uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" version = "16.2.1+1" """ # ╔═╡ Cell order: # ╟─ed649770-a53a-11ec-0434-1bbbc561f8cb # ╟─021364a8-f40b-49fe-9a02-406c0044c9ed # ╟─c49e1040-67c8-4386-a6ce-bbbeace8bc90 # ╠═3e14817e-85f8-4d5b-8a8f-075d1799ed27 # ╟─cec480d3-7348-4d14-9628-007893713a07 # ╠═9586bcbd-16aa-4598-8faa-8220755566e6 # ╟─ddc457c3-f207-4ed1-8a8a-7f1c4cfdaed7 # ╠═52ed4682-a0d7-44cf-b878-27f1cf9cc91d # ╟─86d0bb82-ed8f-4b03-b90c-31c55e556bae # ╠═30ba17b1-9c0c-4fd6-9f40-3c3c1c986e93 # ╟─384abc84-3fda-4ba3-b52e-2d46052b8ce6 # ╠═0c24b1ca-b36a-46f6-9da7-e5c3e3670d29 # ╠═68f9375f-31af-4916-933f-fb41905819f8 # ╠═e1735528-469e-4a17-8b8a-d95dca03f46c # ╟─112b0452-7ae4-49b4-bbdd-54fb00ff8bdb # ╠═f8f1521c-fbbb-4648-af9c-0a15c7e787ff # ╟─1dd5c9fb-820f-41c6-b796-494d68479f1c # ╠═8302e26a-53ae-4f9f-9579-26a1c839c865 # ╟─7f4a7f14-fe77-43fa-b2dd-37ba70cf9da3 # ╠═088ca1f6-44c3-4d0d-a68b-c71881813410 # ╟─785fe89b-4008-437a-ac73-2bdaa26e7cf6 # ╟─8d83a193-aed2-4c1d-8bc5-614a81d16548 # ╠═576d0904-3f3e-49e8-9ce7-ccdd8767bf1b # ╟─144a9d04-f971-48d9-ace4-dd0156f591c2 # ╠═105a0522-729a-49ea-b0a5-62b868ba5e45 # ╟─efcb3473-6ea1-459c-9995-32b0a407a2f4 # ╟─00000000-0000-0000-0000-000000000001 # ╟─00000000-0000-0000-0000-000000000002
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@doc doc"Abstract Boolean Types: {{true},{false}.{true,false}}" -> immutable AbstractBool <: Domain{Bool} v::UInt8 AbstractBool(v::UInt8) = (@assert v == 0x1 || v == 0x2 || v== 0x3; new(v)) end const t = AbstractBool(0x1) const f = AbstractBool(0x2) const tf = AbstractBool(0x3) promote_rule(::Type{Bool}, ::Type{AbstractBool}) = AbstractBool convert(::Type{AbstractBool}, b::Bool) = if b t else f end ## AbstractBool Set Operations ## =========================== subsumes(x::AbstractBool, y::AbstractBool) = x === tf || x === y subsumes(x::AbstractBool, y::Bool) = subsumes(x,convert(AbstractBool, y)) isintersect(x::AbstractBool, y::AbstractBool) = !((x === t && y === f) || (x === f && y === t)) isintersect(x::AbstractBool, y::Bool) = isintersect(x,convert(AbstractBool, y)) isintersect(x::Bool, y::AbstractBool) = isintersect(convert(AbstractBool, x),y) isrelational(::Type{AbstractBool}) = false isabstract(c::Type{Bool}, a::Type{AbstractBool}) = true isequal(x::AbstractBool, y::AbstractBool) = x.v == y.v domaineq(x::AbstractBool, y::AbstractBool) = x.v == y.v ⊔(a::AbstractBool) = a ⊔(a::AbstractBool, b::AbstractBool) = a === b ? a : tf ⊔(a::Bool, b::AbstractBool) = ⊔(convert(AbstractBool,a),b) ⊔(a::AbstractBool, b::Bool) = ⊔(a,convert(AbstractBool,b)) ⊔(a::Bool, b::Bool) = a === b ? convert(AbstractBool,a) : tf ## ========================= ## Lifted Boolean Arithmetic function !(b::AbstractBool) if b === t f elseif b === f t elseif b === tf tf end end (==)(x::AbstractBool, y::AbstractBool) = x === tf || y === tf ? tf : x === t && y === t || x === f && y === f function (==)(x::AbstractBool, y::AbstractBool) if x === tf || y === tf tf elseif x === t && y === t t elseif x === f && y === f t else f end end (==)(x::AbstractBool, y::Bool) = (==)(promote(x,y)...) (==)(y::Bool,x::AbstractBool) = (==)(promote(y,x)...) function (|)(x::AbstractBool, y::AbstractBool) if x === t || y === t t elseif x === tf || y === tf tf else f end end |(x::AbstractBool, y::Bool) = |(x,convert(AbstractBool,y)) |(y::Bool, x::AbstractBool) = |(convert(AbstractBool,y), x) function (&)(x::AbstractBool, y::AbstractBool) if x === f || y === f f elseif x === tf || y === tf tf else t end end (&)(x::AbstractBool, y::Bool) = x & convert(AbstractBool, y) (&)(y::Bool, x::AbstractBool) = convert(AbstractBool, y) & x # When condition is TF we need to evaluate both branches # and merge with ⊔ function ifelse(c::AbstractBool, x, y) if c === t x elseif c === f y elseif c === tf ⊔(x,y) end end ## Printing ## ======== string(x::AbstractBool) = ["{true}","{false}","{true,false}"][x.v] print(io::IO, x::AbstractBool) = print(io, string(x)) show(io::IO, x::AbstractBool) = print(io, string(x)) showcompact(io::IO, x::AbstractBool) = print(io, string(x))
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""" ArcSwift() Arc-Swift transition system for dependency parsing. Described in [Qi & Manning 2017](https://nlp.stanford.edu/pubs/qi2017arcswift.pdf). """ struct ArcSwift <: AbstractTransitionSystem end initconfig(::ArcSwift, graph::DependencyTree) = ArcSwiftConfig(graph) initconfig(::ArcSwift, words) = ArcSwiftConfig(words) transition_space(::ArcSwift, labels=[]; max_k=5) = isempty(labels) ? [LeftArc.(1:max_k)..., RightArc.(1:max_k)..., Shift()] : [[LeftArc(k, l) for k in 1:max_k for l in labels]..., [RightArc(k, l) for k in 1:max_k for l in labels]..., Shift()] projective_only(::ArcSwift) = true struct ArcSwiftConfig <: AbstractParserConfiguration σ::Vector{Int} β::Vector{Int} A::Vector{Token} end function ArcSwiftConfig(words) σ = [0] β = collect(1:length(words)) A = Token.(words) ArcSwiftConfig(σ, β, A) end function ArcSwiftConfig(gold::DependencyTree) σ = [0] β = collect(1:length(gold)) A = [Token(t, head=-1) for t in gold] ArcSwiftConfig(σ, β, A) end stack(cfg::ArcSwiftConfig) = cfg.σ buffer(cfg::ArcSwiftConfig) = cfg.β tokens(cfg::ArcSwiftConfig) = cfg.A tokens(cfg::ArcSwiftConfig, is) = [token(cfg, i) for i in is if 0 <= i <= length(cfg.A)] function leftarc(cfg::ArcSwiftConfig, k::Int, args...; kwargs...) # Assert a head-dependent relation between the word at the front # of the input buffer and the word at the top of the stack; pop # the stack. i = length(cfg.σ) - k + 1 s, b = cfg.σ[i], cfg.β[1] A = copy(cfg.A) if s > 0 A[s] = Token(A[s]; head=b, kwargs...) end ArcSwiftConfig(cfg.σ[1:i-1], cfg.β, A) end function rightarc(cfg::ArcSwiftConfig, k::Int, args...; kwargs...) # Assert a head-dependent relation between the word on the top of # the σ and the word at front of the input buffer; shift the # word at the front of the input buffer to the stack. i = length(cfg.σ) - k + 1 s, b = cfg.σ[i], cfg.β[1] A = copy(cfg.A) A[b] = Token(A[b]; head=s, kwargs...) ArcSwiftConfig([cfg.σ[1:i] ; b], cfg.β[2:end], A) end function shift(cfg::ArcSwiftConfig) # Remove the word from the front of the input buffer and push it # onto the stack. ArcSwiftConfig([cfg.σ ; cfg.β[1]], cfg.β[2:end], cfg.A) end isfinal(cfg::ArcSwiftConfig) = all(t -> all(h >= 0 for h in t.head), cfg.A) #&& length(cfg.σ) > 0 && length(cfg.β) > 0 """ static_oracle(cfg::ArcSwiftConfig, tree, arc) Oracle function for arc-swift dependency parsing. Described in [Qi & Manning 2017](https://nlp.stanford.edu/pubs/qi2017arcswift.pdf). """ function static_oracle(cfg::ArcSwiftConfig, gold, arc=untyped) S = length(cfg.σ) if S >= 1 && length(cfg.β) >= 1 b = cfg.β[1] for k in 1:S i = S - k + 1 s = cfg.σ[i] has_arc(gold, b, s) && return LeftArc(k, arc(gold[s])...) has_arc(gold, s, b) && return RightArc(k, arc(gold[b])...) end end return Shift() end ==(cfg1::ArcSwiftConfig, cfg2::ArcSwiftConfig) = cfg1.σ == cfg2.σ && cfg1.β == cfg2.β && cfg1.A == cfg2.A # TODO function possible_transitions(cfg::ArcSwiftConfig, graph::DependencyTree, arc=untyped) TransitionOperator[static_oracle(cfg, graph, arc)] end function Base.show(io::IO, c::ArcSwiftConfig) A = join(["$i $(t.form) $(t.head)" for (i,t) in enumerate(tokens(c))], ", ") print(io, "ArcSwiftConfig($(c.σ),$(c.β),$A)") end
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2.282508
1,515
include("SSA.jl") function addSim(sys::System, tauVar::TauVar, n::Int64) ens = newEnsemble(sys, n) npoints = length(sys.data.dd) if sys.routine.ssa == :Direct for i in 2:npoints if i == 2 && sys.routine.shoot reShoot!(sys, ens, i-1) end _sim!(sys, ens, i) for k in eachindex(ens) for xx in ens[k].x push!(ens[k].xa,xx) end push!(ens[k].ta,sys.times[i]) end end elseif sys.routine.ssa == :Tau for i in 2:npoints if i == 2 && sys.routine.shoot reShoot!(sys, ens, i-1) end _sim!(sys, ens, i, tauVar) for k in eachindex(ens) for xx in ens[k].x push!(ens[k].xa,xx) end push!(ens[k].ta,sys.times[i]) end end end ens end function sim(sys::System, θ::Vector{Float64}, σ2::Vector{Float64}, n::Int64) sys.state.θ = θ sys.state.σ2 = diagm(σ2) tauVar = preAllocTauVar(sys) ens = Ensemble() append!(ens, addSim(sys, tauVar, n)) ens end
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1.662031
719
using CSV using LinearAlgebra: dot, I using CairoMakie using naumer_Dimensionality_2022 const Σ = [1.0 0.1 0.1; 0.1 1.0 0.1; 0.1 0.1 1.0] const v = [1.0/sqrt(3), 1.0/sqrt(3), 1.0/sqrt(3)] const σ² = 1 f(x) = abs2(dot(v, Σ * x)) / (dot(x, Σ * x) + σ² * dot(x, x)) # Helper function to compute extra coordinate function getZ(x,y) if abs2(x) + abs2(y) > 1 - 10*eps() return NaN end return sqrt(1 - abs2(x) - abs2(y)) end function rewardPositive(x,y) return f([x,y,getZ(x,y)]) end function rewardNegative(x,y) return f([x,y,-getZ(x,y)]) end state = zeros(3,100) state[3,1] = 1 for i in 2:100 state[:,i] .= actiongradientstep_1DApprox(state[:,i-1], v, Σ, σ², 0.1) end rewards = zeros(100) for i in 1:100 rewards[i] = f(state[:,i]) end # Sample Circle x = -1.1:0.01:1.1 y = -1.1:0.01:1.1 noto_sans = "./resources/NotoSans-Regular.ttf" noto_sans_bold = "./resources/NotoSans-Bold.ttf" tickfontsize = 26 labelfontsize = 28 basewidth = 2 fig = Figure(font=noto_sans, resolution=(1000,500), figure_padding=40) ax1 = Axis( fig[1,1], xticklabelsize=tickfontsize, yticklabelsize=tickfontsize, yticklabelpad=2, xlabel="x", ylabel = "y", xlabelsize=labelfontsize, ylabelsize=labelfontsize, titlesize=labelfontsize, ratio=AxisAspect(1)) hm = heatmap!(ax1,x,y,rewardPositive) lines!(ax1, state[1,:], state[2,:], color=:black, linewidth=3) ax2 = Axis( fig[1,3], xticklabelsize=tickfontsize, yticklabelsize=tickfontsize, yticklabelpad=2, xlabel="Iteration", ylabel = "Objective", xlabelsize=labelfontsize, ylabelsize=labelfontsize, titlesize=labelfontsize, ratio=AxisAspect(1), xminorticksvisible = true, xminorgridvisible = true, xminorticks = IntervalsBetween(10), yminorticksvisible = true, yminorgridvisible = true, yminorticks = IntervalsBetween(5)) lines!(ax2,1:100, rewards, color=:black, width=2) xlims!(ax2,(0,100)) Colorbar(fig[1, 2], hm, ticklabelsize=tickfontsize) colgap!(fig.layout,2,80) Label(fig[1,1,TopLeft()], "A", font=noto_sans_bold, textsize = 36, halign=:left, valign=:bottom, padding=(25,0,10,0)) Label(fig[1,3,TopLeft()], "B", font=noto_sans_bold, textsize = 36, halign=:left, valign=:bottom, padding=(25,0,10,0)) save("out/OptDescent.pdf",fig)
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export load_model, get_device, seisdata2torch, slide, detect, trigger_onset export get_picks, load_test_data """ load_model(phase;device=nothing) Load generalized-phase-detection model onto device. # Arguments - `phase::String`: Seismic phase to load - "P" or "S". # Keywords - `device::Union{PyObject,Nothing}`: Pytorch device - specify "gpu" or "cpu". """ function load_model(phase::String;device::Union{PyObject,Nothing}=nothing) # check phase input if uppercase(phase) ∉ ["P","S"] error("Only available models are 'P' and 'S'.") end # get correct model model_dir = joinpath(dirname(@__FILE__),"..","deps","downloads") modelP = joinpath(model_dir,"model_P.pt") modelS = joinpath(model_dir,"model_S.pt") model_file = uppercase(phase) == "P" ? modelP : modelS # load model if isa(device,Nothing) device = get_device() end model = UNet(3,1).to(device) checkpoint = torch.load(model_file, map_location=device) # load state dictionary state_dict = Dict() for key in keys(checkpoint["model_state_dict"]) if occursin("tracked",key) continue end state_dict[key] = checkpoint["model_state_dict"][key] end model.load_state_dict(state_dict) model.eval() return model end """ get_device() Returns current PyTorch device. """ get_device() = torch.device(torch.cuda.is_available() ? "cuda" : "cpu") """ seisdata2torch(S) Convert 3 component `SeisData` struct `S` into Torch tensor. # Arguments - `S::SeisData`: 3-component `SeisData` for detection. - `window_samples::Int`: Number of samples per detection window. """ function seisdata2torch(S::SeisData,window_samples::Int) # check only 3 channels in SeisChannel @assert S.n == 3 # create sliding windows X = cat([slide(S[ii].x,window_samples) for ii = 1:S.n]...,dims=3) X ./= maximum(abs.(X),dims=(1,3)) return torch.from_numpy(X).float().permute(1,2,0) end """ slide(A,window_samples) Split vector `A` into non-overlapping windows of length `window_samples`. # Arguments - `S::SeisData`: 3-component `SeisData` for detection. - `window_samples::Int`: Number of samples per detection window. """ function slide(A::AbstractVector, window_samples::Int) N = size(A,1) if N % window_samples == 0 return Array(reshape(A,window_samples,N ÷ window_samples)) else return Array(reshape(A[1 : N - N % window_samples], window_samples, N ÷ window_samples)) end end """ detect(X,model,batch_size;device=nothing) Run generalized-phase-detection on tensor `X` in batches of size `batch_size`. # Arguments - `X::PyObject`: Torch tensor. - `model::PyObject`: Torch `UNet` model. - `batch_size::Int`: Number of windows per detection. Specifying too large a batch size will cause the GPU to run out of VRAM. # Keywords - `device::Union{PyObject,Nothing}`: Pytorch device - specify "gpu" or "cpu". """ function detect(X,model,batch_size::Int;device::Union{PyObject,Nothing}=nothing) # use default device if isa(device,Nothing) device = get_device() end # run predictions in batches Y_pred = zeros(Float32, X.size(2),X.size(0)) for ii in 1:batch_size:size(Y_pred,2) i_start = ii i_stop = min(size(Y_pred,2),ii+batch_size-1) X_test = get(X,i_start-1:i_stop-1) X_test = X_test.to(device) @pywith torch.no_grad() begin out = model(X_test) Y_pred[:,i_start:i_stop] .= out.cpu().permute(2,0,1).numpy()[:,:,1] end GC.gc(false) end return Y_pred end """ trigger_onset(charfct, thresh1, thresh2; max_len=1e99, max_len_delete=false) Calculate trigger on and off times. Given `thresh1` and `thresh2` calculate trigger on and off times from characteristic function. # Arguments - `charfct::AbstractArray`: Characteristic function of e.g. STA/LTA trigger. - `thresh1::Real`: Value above which trigger (of characteristic function) is activated (higher threshold). - `thresh2::Real`: Value below which trigger (of characteristic function) is deactivated (lower threshold). # Keywords - `max_len::Int`: Maximum length of triggered event in samples. A new event will be triggered as soon as the signal reaches again above thresh1. - `max_len_delete::Bool`: Do not write events longer than max_len into report file. """ function trigger_onset(charfct::AbstractArray, thresh1::Real, thresh2::Real; max_len::Int=10^10, max_len_delete::Bool=false, ) ind1 = findall(charfct .> thresh1) if length(ind1) == 0 return [] end ind2 = findall(charfct .> thresh2) on = [ind1[1]] off = [-1] # determine the indices where charfct falls below off-threshold ind2_ = Array{Bool}(undef,length(ind2)) ind2_[1:end-1] .= diff(ind2) .> 1 # last occurence is missed by diff, add it manually ind2_[end] = true append!(off,ind2[ind2_]) append!(on,ind1[findall(diff(ind1) .> 1) .+ 1]) # include last pick if trigger is on or drop it if max_len_delete # drop it append!(off,max_len) append!(on,on[end]) else # include it append!(off,ind2[end]) end pick = [] while on[end] > off[1] while on[1] <= off[1] deleteat!(on,1) end while off[1] < on[1] deleteat!(off,1) end if off[1] - on[1] > max_len if max_len_delete deleteat!(on,1) continue end prepend!(off,on[1] + max_len) end push!(pick,[on[1],off[1]]) end return permutedims(hcat(pick...)) end """ get_picks(S,probs,thresh1,thresh2;min_trig_dur=0.) Get picks from detection probabilities `probs` from SeisData `S`. # Arguments - `S::SeisData`: 3-component `SeisData` for detection. - `probs::AbstractArray`: Array of probabilities of phase detection per window. - `thresh1::Real`: Probability (0-1) above which trigger is activated (higher threshold). - `thresh2::Real`: Probability (0-1) below which trigger is deactivated (lower threshold). # Keywords `min_trig_dur::Real`: Minimum duration (in seconds) of trigger. """ function get_picks( S::SeisData, probs::AbstractArray, thresh1::Real, thresh2::Real; min_trig_dur::Real=0., ) @assert 0. < thresh2 < thresh1 <= 1. tt = collect(0:length(probs)-1) ./ S.fs[1] picks = Array{DateTime}(undef,0) trigs = trigger_onset(vcat(probs...),thresh1,thresh2) for ii in 1:size(trigs,1) if trigs[ii,1] == trigs[ii,2] continue end # check trigger duration trig_dur = tt[trigs[ii,2]] - tt[trigs[ii,1]] if trig_dur < min_trig_dur continue end pick = argmax(probs[trigs[ii,1]:trigs[ii,2]]) + trigs[ii,1] tstamp = u2d(S.t[1][1,2] * 1e-6+ tt[pick]) push!(picks,tstamp) end return picks, tt end """ load_test_data() Load 3-component seismic data from the 2016 Mw 5.2 Anza, California sequence. """ function load_test_data() sacfiles = joinpath(dirname(@__FILE__),"..","deps","downloads","*.SAC") return read_data("sac",sacfiles) end
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#= https://github.com/JuliaArrays/EndpointRanges.jl by Tim Holy [this has minor edits for v0.7-DEV] =# module EndpointRanges #using Compat import Base: +, -, *, /, ÷, % using Base: ViewIndex, tail, indices1 export ibegin, iend abstract type Endpoint end struct IBegin <: Endpoint end struct IEnd <: Endpoint end const ibegin = IBegin() const iend = IEnd() (::IBegin)(b::Integer, e::Integer) = b (::IEnd )(b::Integer, e::Integer) = e (::IBegin)(r::AbstractRange) = first(r) (::IEnd )(r::AbstractRange) = last(r) struct IndexFunction{F<:Function} <: Endpoint index::F end (f::IndexFunction)(r::AbstractRange) = f.index(r) for op in (:+, :-) @eval $op(x::Endpoint) = IndexFunction(r->x(r)) end for op in (:+, :-, :*, :/, :÷, :%) @eval $op(x::Endpoint, y::Endpoint) = IndexFunction(r->$op(x(r), y(r))) @eval $op(x::Endpoint, y::Number) = IndexFunction(r->$op(x(r), y)) @eval $op(x::Number, y::Endpoint) = IndexFunction(r->$op(x, y(r))) end # deliberately not <: AbstractUnitRange{Int} abstract type EndpointRange{T} end struct EndpointUnitRange{F<:Union{Int,Endpoint},L<:Union{Int,Endpoint}} <: EndpointRange{Int} start::F stop::L end struct EndpointStepRange{F<:Union{Int,Endpoint},L<:Union{Int,Endpoint}} <: EndpointRange{Int} start::F step::Int stop::L end (r::EndpointUnitRange)(s::AbstractRange) = r.start(s):r.stop(s) (r::EndpointUnitRange{Int,E})(s::AbstractRange) where {E<:Endpoint} = r.start:r.stop(s) (r::EndpointUnitRange{E,Int})(s::AbstractRange) where {E<:Endpoint} = r.start(s):r.stop (r::EndpointStepRange)(s::AbstractRange) = r.start(s):r.step:r.stop(s) (r::EndpointStepRange{Int,E})(s::AbstractRange) where {E<:Endpoint} = r.start:r.step:r.stop(s) (r::EndpointStepRange{E,Int})(s::AbstractRange) where {E<:Endpoint} = r.start(s):r.step:r.stop Base.colon(start::Endpoint, stop::Endpoint) = EndpointUnitRange(start, stop) Base.colon(start::Endpoint, stop::Int) = EndpointUnitRange(start, stop) Base.colon(start::Int, stop::Endpoint) = EndpointUnitRange(start, stop) Base.colon(start::Endpoint, step::Int, stop::Endpoint) = EndpointStepRange(start, step, stop) Base.colon(start::Endpoint, step::Int, stop::Int) = EndpointStepRange(start, step, stop) Base.colon(start::Int, step::Int, stop::Endpoint) = EndpointStepRange(start, step, stop) function Base.getindex(r::UnitRange, s::EndpointRange) getindex(r, newindex(indices1(r), s)) end function Base.getindex(r::AbstractUnitRange, s::EndpointRange) getindex(r, newindex(indices1(r), s)) end function Base.getindex(r::StepRange, s::EndpointRange) getindex(r, newindex(indices1(r), s)) end function Base.getindex(r::StepRangeLen, s::EndpointRange) getindex(r, newindex(indices1(r), s)) end function Base.getindex(r::LinRange, s::EndpointRange) getindex(r, newindex(indices1(r), s)) end @inline function Base.to_indices(A, inds, I::Tuple{Union{Endpoint, EndpointRange}, Vararg{Any}}) (newindex(inds[1], I[1]), to_indices(A, Base._maybetail(inds), Base.tail(I))...) end @inline newindices(indsA, inds) = (newindex(indsA[1], inds[1]), newindices(tail(indsA), tail(inds))...) newindices(::Tuple{}, ::Tuple{}) = () newindex(indA, i::Union{Real, AbstractArray, Colon}) = i newindex(indA, i::EndpointRange) = i(indA) newindex(indA, i::IBegin) = first(indA) newindex(indA, i::IEnd) = last(indA) end # module
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2.446221
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lines = readlines("input.txt") re = r"(\w+)" function main() #= Solve using frequency analysis (i.e.: for digits 0 to 9, we see segment 'a' 8 times) For 1: we need c and f, i.e. 8 + 9 = 17. for 7, a + c + f = 8 + 8 + 9 = 25 This works, because the distribution for the number of times each segment lights up for digits 0 to 9 is unique =# segmentmap = Dict( 0 => collect("abcefg"), 1 => collect("cf"), 2 => collect("acdeg"), 3 => collect("acdfg"), 4 => collect("bcdf"), 5 => collect("abdfg"), 6 => collect("abdefg"), 7 => collect("acf"), 8 => collect("abcdefg"), 9 => collect("abcdfg") ) freq = X -> Dict([(x, count(==(x), X)) for x = unique(X)]) X = freq(reduce(vcat, values(segmentmap))) numbers = Dict([(i,sum([X[c] for c = set])) for (i,set) = pairs(segmentmap)]) inverse = Dict(value => key for (key, value) = numbers) sumdigits = N -> sum(n * 10^e for (n,e) = zip(N, length(N)-1:-1:0)) Σ = 0 for line = lines input, output = split(line, '|') signals = [m.match for m = eachmatch(re, input)] X = freq(reduce(vcat, collect.(signals))) Y = [m.match for m = eachmatch(re, output)] Σ_Y = map(s -> sum([X[c] for c = collect(s)]), Y) N = map(n -> inverse[n], Σ_Y) Σ += sumdigits(N) println(sumdigits(N)) end println("====") println(Σ) end main()
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######################################################################################################## ## Details # This file implements the MAP estimation proceedure for UQ inference problems. # Note, we convert the named tuple p.x into a vector for use in GalacticOptim. # For the conversion, we use TransformVariables. ######################################################################################################### function MAP(p :: ArbitraryDistribution{T}) where T<: AbstractFloat # Setup optimization utilities trans, x0 = namedtp_to_vec(p.x) f = distribution_wrapper(p, trans) params = p.p # Define problem g = OptimizationFunction(f, GalacticOptim.AutoForwardDiff()) prob = OptimizationProblem(g, x0, p.p) # Solve sol = solve(prob, BFGS()) # return solution xf = sol.u p.x = transform(trans, xf) return p end
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257
################################################################################ # # Parent # ################################################################################ parent(a::AlgAssElem) = a.parent ################################################################################ # # Special elements # ################################################################################ zero(A::AlgAss) = A() one(A::AlgAss) = A(A.one) ################################################################################ # # Unary operations # ################################################################################ function -(a::AlgAssElem{T}) where {T} coeffs = [ -a.coeffs[i] for i = 1:dim(parent(a)) ] return AlgAssElem{T}(parent(a), coeffs) end ################################################################################ # # Binary operations # ################################################################################ function +(a::AlgAssElem{T}, b::AlgAssElem{T}) where {T} parent(a) != parent(b) && error("Parents don't match.") coeffs = Array{T, 1}(dim(parent(a))) for i = 1:dim(parent(a)) coeffs[i] = a.coeffs[i] + b.coeffs[i] end return AlgAssElem{T}(parent(a), coeffs) end function -(a::AlgAssElem{T}, b::AlgAssElem{T}) where {T} parent(a) != parent(b) && error("Parents don't match.") coeffs = Array{T, 1}(dim(parent(a))) for i = 1:dim(parent(a)) coeffs[i] = a.coeffs[i] - b.coeffs[i] end return AlgAssElem{T}(parent(a), coeffs) end function *(a::AlgAssElem{T}, b::AlgAssElem{T}) where {T} parent(a) != parent(b) && error("Parents don't match.") A = parent(a) n = dim(A) c = A() t = base_ring(A)() for i = 1:n if iszero(a.coeffs[i]) continue end for j = 1:n t = a.coeffs[i]*b.coeffs[j] if iszero(t) continue end for k = 1:n c.coeffs[k] += A.mult_table[i, j, k]*t end end end return c end function mul!(c::AlgAssElem{T}, a::AlgAssElem{T}, b::AlgAssElem{T}) where {T} A = parent(a) n = dim(A) t = base_ring(A)() s = base_ring(A)() if c === a || c === b z = parent(a)() mul!(z, a, b) return z end for k in 1:n c.coeffs[k] = zero!(c.coeffs[k]) end for i = 1:n if iszero(a.coeffs[i]) continue end for j = 1:n t = a.coeffs[i]*b.coeffs[j] if iszero(t) continue end for k = 1:n s = mul!(s, A.mult_table[i, j, k], t) c.coeffs[k] = add!(c.coeffs[k], c.coeffs[k], s) #c.coeffs[k] += A.mult_table[i, j, k]*t end end end #@assert c == a * b return c end ################################################################################ # # Ad hoc operations # ################################################################################ function *(a::AlgAssElem{T}, b::T) where { T <: RingElem } return AlgAssElem{T}(parent(a), a.coeffs.*b) end *(b::T, a::AlgAssElem{T}) where { T <: RingElem } = a*b *(a::AlgAssElem{T}, b::Union{Integer, fmpz}) where {T} = a*base_ring(parent(a))(b) *(b::Union{Integer, fmpz}, a::AlgAssElem{T}) where {T} = a*b dot(a::AlgAssElem{T}, b::T) where {T} = a*b dot(b::T, a::AlgAssElem{T}) where {T} = b*a dot(a::AlgAssElem{T}, b::Union{Integer, fmpz}) where {T} = a*b dot(b::Union{Integer, fmpz}, a::AlgAssElem{T}) where {T} = b*a ################################################################################ # # Exponentiation # ################################################################################ function ^(a::AlgAssElem, b::Int) if b == 0 return one(parent(a)) elseif b == 1 return deepcopy(a) else if b < 0 error("Not implemented yet") #a = inv(a) #b = -b end bit = ~((~UInt(0)) >> 1) while (UInt(bit) & b) == 0 bit >>= 1 end z = deepcopy(a) bit >>= 1 while bit != 0 z = mul!(z, z, z) if (UInt(bit) & b) != 0 z = mul!(z, z, a) end bit >>= 1 end return z end end function ^(a::AlgAssElem, b::fmpz) if nbits(b) < 64 return a^Int(b) end if b < 0 error("Not implemented yet") elseif b == 0 return one(parent(a)) elseif b == 1 return deepcopy(a) elseif mod(b, 2) == 0 c = a^(div(b, 2)) return c*c elseif mod(b, 2) == 1 return a^(b - 1)*a end end ################################################################################ # # Parent object overloading # ################################################################################ (A::AlgAss{T})() where {T} = AlgAssElem{T}(A) function (A::AlgAss{T})(c::Array{T, 1}) where {T} length(c) != dim(A) && error("Dimensions don't match.") return AlgAssElem{T}(A, c) end function Base.getindex(A::AlgAss{T}, i::Int) where {T} (i < 1 || i > dim(A)) && error("Index must be in range $(1:dim(A))") n = dim(A) v = Vector{T}(n) for j in 1:n v[j] = zero(base_ring(A)) end v[i] = one(base_ring(A)) return A(v) end ################################################################################ # # String I/O # ################################################################################ function show(io::IO, a::AlgAssElem) print(io, "Element of ") print(io, parent(a)) print(io, " with coefficients ") print(io, a.coeffs) end ################################################################################ # # Deepcopy # ################################################################################ function Base.deepcopy_internal(a::AlgAssElem{T}, dict::ObjectIdDict) where {T} b = parent(a)() for x in fieldnames(a) if x != :parent && isdefined(a, x) setfield!(b, x, Base.deepcopy_internal(getfield(a, x), dict)) end end return b end ################################################################################ # # Equality # ################################################################################ function ==(a::AlgAssElem{T}, b::AlgAssElem{T}) where {T} parent(a) != parent(b) && return false return a.coeffs == b.coeffs end ################################################################################ # # Minpoly # ################################################################################ function Generic.minpoly(a::AlgAssElem) M = representation_matrix(a) R = PolynomialRing(base_ring(parent(a)), "x", cached=false)[1] return minpoly(R, M) end ################################################################################ # # Representation matrix # ################################################################################ function elem_to_mat_row!(M::MatElem{T}, i::Int, a::AlgAssElem{T}) where T for c = 1:cols(M) M[i, c] = deepcopy(a.coeffs[c]) end return nothing end function elem_from_mat_row(A::AlgAss{T}, M::MatElem{T}, i::Int) where T a = A() for c = 1:cols(M) a.coeffs[c] = deepcopy(M[i, c]) end return a end function representation_matrix(a::AlgAssElem, action::Symbol=:left) A = parent(a) M = zero_matrix(base_ring(A), dim(A), dim(A)) if action==:left for i = 1:dim(A) if iszero(a.coeffs[i]) continue end for j = 1:dim(A) for k = 1:dim(A) M[j, k] += a.coeffs[i]*A.mult_table[i, j, k] end end end elseif action==:right for i = 1:dim(A) if iszero(a.coeffs[i]) continue end for j = 1:dim(A) for k = 1:dim(A) M[j, k] += a.coeffs[i]*A.mult_table[j, i, k] end end end else error("Not yet implemented") end return M end ################################################################################ # # isone/iszero # ################################################################################ isone(a::AlgAssElem) = a == one(parent(a)) iszero(a::AlgAssElem) = all(i -> i == 0, a.coeffs)
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2.56984
3,057
using Test using MathOptInterface const MOI = MathOptInterface const MOIU = MOI.Utilities @test sprint(MOIU.print_with_acronym, "MathOptInterface") == "MOI" @test sprint(MOIU.print_with_acronym, "MathOptInterface.MathOptInterface") == "MOI.MOI" @test sprint( MOIU.print_with_acronym, "MathOptInterface.Utilities.MathOptInterface", ) == "MOIU.MOI" @test sprint(MOIU.print_with_acronym, "MathOptInterfaceXXBridges") == "MOIXXBridges" @test sprint(MOIU.print_with_acronym, "MathOptInterface.BridgesXX") == "MOIBXX" @test sprint(MOIU.print_with_acronym, "MathOptInterface.Test.x") == "MOIT.x" @test sprint(MOIU.print_with_acronym, "MathOptInterface.x.Test") == "MOI.x.Test" @test sprint(MOIU.print_with_acronym, "MathOptInterface.Utilities.Test") == "MOIU.Test" @test sprint(MOIU.print_with_acronym, "MathOptInterface.Utilities.Test") == "MOIU.Test"
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2.504274
351
export PyPtr, PyObject, Py_NULL, METH_O, METH_NOARGS, METH_FASTCALL export Py_ssize_t, Addr export PyMethodDef export Py_LE, Py_LT, Py_NE, Py_EQ, Py_GE, Py_GT const Py_ssize_t = Cssize_t const Py_hash_t = Py_ssize_t const Addr = UInt64 # Ref: https://github.com/python/cpython/blob/3.8/Include/object.h#L104 struct PyObject ob_refcnt::Py_ssize_t ob_type::Ptr{PyObject} end const PyPtr = Ptr{PyObject} const Py_NULL = reinterpret(PyPtr, C_NULL) const METH_VARARGS = 0x0001 const METH_KEYWORDS = 0x0002 const METH_NOARGS = 0x0004 const METH_O = 0x0008 const METH_FASTCALL = 0x0080 # Ref: https://github.com/python/cpython/blob/3.8/Include/methodobject.h#L51 mutable struct PyMethodDef ml_name::Cstring ml_meth::Ptr{Nothing} ml_flags::Cint ml_doc::Cstring # may be NULL end # Ref: https://github.com/python/cpython/blob/3.8/Include/descrobject.h#L11 struct PyGetSetDef name::Ptr{UInt8} get::Ptr{Cvoid} set::Ptr{Cvoid} # may be NULL for read-only members doc::Ptr{UInt8} # may be NULL closure::Ptr{Cvoid} # pass-through thunk, may be NULL end # (o, o) -> p # struct binaryfunc # unbox::Ptr{Nothing} # end # function (f::binaryfunc)(o1::PyPtr, o2::PyPtr) # ccall(f.unbox, PyPtr, (PyPtr, PyPtr), o1, o2) # end # DIO_ExceptCode(::binaryfunc) = Py_NULL # (o) -> p # struct unaryfunc # unbox::Ptr{Nothing} # end # function (f::unaryfunc)(o) # ccall(f.unbox, PyPtr, (PyPtr,), o) # end # DIO_ExceptCode(::unaryfunc) = Py_NULL # # (o, o, o) -> p # struct ternaryfunc # unbox::Ptr{Nothing} # end # function (f::ternaryfunc)(o1::PyPtr, o2::PyPtr, o3::PyPtr) # ccall(f.unbox, PyPtr, (PyPtr, PyPtr, PyPtr), o1, o2, o3) # end # DIO_ExceptCode(::ternaryfunc) = Py_NULL const binaryfunc = Ptr{Nothing} const unaryfunc = Ptr{Nothing} const ternaryfunc = Ptr{Nothing} # Ref: https://github.com/python/cpython/blob/3.8/Include/cpython/object.h#L95 struct PyNumberMethods nb_add::binaryfunc nb_subtract::binaryfunc nb_multiply::binaryfunc nb_remainder::binaryfunc nb_divmod::binaryfunc nb_power::ternaryfunc nb_negative::unaryfunc nb_positive::unaryfunc nb_absolute::unaryfunc nb_bool::Ptr{Nothing} nb_invert::unaryfunc nb_lshift::binaryfunc nb_rshift::binaryfunc nb_and::binaryfunc nb_xor::binaryfunc nb_or::binaryfunc nb_int::unaryfunc nb_reserved::Ptr{Nothing} nb_float::unaryfunc nb_inplace_add::binaryfunc nb_inplace_subtract::binaryfunc nb_inplace_multiply::binaryfunc nb_inplace_remainder::binaryfunc nb_inplace_power::ternaryfunc nb_inplace_lshift::binaryfunc nb_inplace_rshift::binaryfunc nb_inplace_and::binaryfunc nb_inplace_xor::binaryfunc nb_inplace_or::binaryfunc nb_floor_divide::binaryfunc nb_true_divide::binaryfunc nb_inplace_floor_divide::binaryfunc nb_inplace_true_divide::binaryfunc nb_index::unaryfunc nb_matrix_multiply::binaryfunc nb_inplace_matrix_multiply::binaryfunc end struct PyMemberDef name::Ptr{UInt8} typ::Cint offset::Int # warning: was Cint for Python <= 2.4 flags::Cint doc::Ptr{UInt8} end # Ref: https://github.com/python/cpython/blob/3.8/Include/cpython/object.h#L177 mutable struct PyTypeObject # PyObject_HEAD (for non-Py_TRACE_REFS build): ob_refcnt::Py_ssize_t ob_type::PyPtr ob_size::Py_ssize_t # PyObject_VAR_HEAD # PyTypeObject fields: tp_name::Ptr{UInt8} # required, should be in format "<module>.<name>" # warning: these two were Cint for Python <= 2.4 tp_basicsize::Int # required, = sizeof(instance) tp_itemsize::Int tp_dealloc::Ptr{Cvoid} tp_vectorcall_offset :: Addr tp_getattr::Ptr{Cvoid} tp_setattr::Ptr{Cvoid} tp_as_async::Ptr{Cvoid} tp_repr::Ptr{Cvoid} tp_as_number::Ptr{PyNumberMethods} tp_as_sequence::Ptr{Cvoid} tp_as_mapping::Ptr{Cvoid} tp_hash::Ptr{Cvoid} tp_call::Ptr{Cvoid} tp_str::Ptr{Cvoid} tp_getattro::Ptr{Cvoid} tp_setattro::Ptr{Cvoid} tp_as_buffer::Ptr{Cvoid} tp_flags::Clong # Required, should default to Py_TPFLAGS_DEFAULT tp_doc::Ptr{UInt8} # normally set in example code, but may be NULL tp_traverse::Ptr{Cvoid} tp_clear::Ptr{Cvoid} tp_richcompare::Ptr{Cvoid} tp_weaklistoffset::Int # added in Python 2.2: tp_iter::Ptr{Cvoid} tp_iternext::Ptr{Cvoid} tp_methods::Ptr{PyMethodDef} tp_members::Ptr{PyMemberDef} tp_getset::Ptr{PyGetSetDef} tp_base::Ptr{Cvoid} tp_dict::PyPtr tp_descr_get::Ptr{Cvoid} tp_descr_set::Ptr{Cvoid} tp_dictoffset::Int tp_init::Ptr{Cvoid} tp_alloc::Ptr{Cvoid} tp_new::Ptr{Cvoid} tp_free::Ptr{Cvoid} tp_is_gc::Ptr{Cvoid} tp_bases::PyPtr tp_mro::PyPtr tp_cache::PyPtr tp_subclasses::PyPtr tp_weaklist::PyPtr tp_del::Ptr{Cvoid} # added in Python 2.6: tp_version_tag::Cuint # only used for COUNT_ALLOCS builds of Python tp_allocs::Int tp_frees::Int tp_maxalloc::Int tp_prev::Ptr{Cvoid} tp_next::Ptr{Cvoid} end const Py_LT = Cint(0) const Py_LE = Cint(1) const Py_EQ = Cint(2) const Py_NE = Cint(3) const Py_GT = Cint(4) const Py_GE = Cint(5)
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# Author: Gabrio Rizzuti, grizzuti3@gatech.edu # Date: September 2020 using InvertibleNetworks, LinearAlgebra, Test, Statistics, Random # Random seed Random.seed!(1); ############################################################################### # Initialization # Input nx = 28 ny = 28*2 nc = 4 n_hidden = 64 batchsize = 5 X = rand(Float32, nx, ny, nc, batchsize) # Layers and initialization logdet = true N1 = CouplingLayerHINT(nc, n_hidden; permute="full", logdet=logdet) N2 = ActNorm(nc; logdet=logdet) N3 = CouplingLayerHINT(nc, n_hidden; permute="full", logdet=logdet) N = Composition(N1, N2, N3) ############################################################################### # Test coherency of composition and manual composition Y = copy(X) Y, l3 = N3.forward(Y) Y, l2 = N2.forward(Y) Y, l1 = N1.forward(Y) l = l1+l2+l3 Y_, l_ = N.forward(X) @test isapprox(Y, Y_; rtol=1f-3) @test isapprox(l, l_; rtol=1f-3) ############################################################################### # Test coherency of composition and ∘ # Composition with ∘ N_ = N1∘N2∘N3 Y, l = N.forward(X) Y_, l_ = N_.forward(X) @test isapprox(Y, Y_; rtol=1f-3) @test isapprox(l, l_; rtol=1f-3) ############################################################################### # Test invertibility @test isapprox(X, N.inverse(N.forward(X)[1]); rtol=1f-3) @test isapprox(X, N.forward(N.inverse(X))[1]; rtol=1f-3) ############################################################################### # Gradient Test function loss(N, X, Y) # Forward pass Y_, lgdet = N.forward(X) # Residual and function value ΔY = Y_ - Y f = 0.5f0/batchsize*norm(ΔY)^2f0-lgdet # Back propagation ΔX, _ = N.backward(ΔY./batchsize, Y_) return f, ΔX, deepcopy(get_grads(N)) end # Initializing nets N1 = CouplingLayerHINT(nc, n_hidden; permute="full", logdet=logdet) N2 = ActNorm(nc; logdet=logdet) N3 = CouplingLayerHINT(nc, n_hidden; permute="full", logdet=logdet) N0 = Composition(N1, N2, N3); N0.forward(rand(Float32, nx, ny, nc, batchsize)) θ0 = deepcopy(get_params(N0)) N1 = CouplingLayerHINT(nc, n_hidden; permute="full", logdet=logdet) N2 = ActNorm(nc; logdet=logdet) N3 = CouplingLayerHINT(nc, n_hidden; permute="full", logdet=logdet) N = Composition(N1, N2, N3); N.forward(rand(Float32, nx, ny, nc, batchsize)) θ = deepcopy(get_params(N)) # Inputs X = rand(Float32, nx, ny, nc, batchsize) X0 = rand(Float32, nx, ny, nc, batchsize) dX = rand(Float32, nx, ny, nc, batchsize) Y = rand(Float32, nx, ny, nc, batchsize) dθ = θ-θ0 for i = 1:length(dθ) (norm(θ0[i].data) != 0f0) && (dθ[i].data .*= norm(θ0[i].data)/norm(dθ[i].data)) end # Gradient test (input) set_params!(N0, θ0) f0, ΔX, Δθ = loss(N0, X, Y) h = 0.1f0 maxiter = 5 err1 = zeros(Float32, maxiter) err2 = zeros(Float32, maxiter) print("\nGradient test sequential network: input\n") for j=1:maxiter f = loss(N0, X+h*dX, Y)[1] err1[j] = abs(f - f0) err2[j] = abs(f - f0 - h*dot(dX, ΔX)) print(err1[j], "; ", err2[j], "\n") global h /= 2f0 end @test isapprox(err1[end] / (err1[1]/2^(maxiter-1)), 1f0; atol=1f1) @test isapprox(err2[end] / (err2[1]/4^(maxiter-1)), 1f0; atol=1f1) # Gradient test (parameters) h = 0.1f0 maxiter = 5 err3 = zeros(Float32, maxiter) err4 = zeros(Float32, maxiter) print("\nGradient test sequential network: parameters\n") for j=1:maxiter set_params!(N0, θ0+h*dθ) f = loss(N0, X, Y)[1] err3[j] = abs(f - f0) err4[j] = abs(f - f0 - h*dot(dθ, Δθ)) print(err3[j], "; ", err4[j], "\n") global h /= 2f0 end @test isapprox(err3[end] / (err3[1]/2^(maxiter-1)), 1f0; atol=1f1) @test isapprox(err4[end] / (err4[1]/4^(maxiter-1)), 1f0; atol=1f1) ################################################################################################### # Jacobian-related tests # Gradient test # Initializing nets N1 = CouplingLayerHINT(nc, n_hidden; permute="full", logdet=logdet) N2 = ActNorm(nc; logdet=logdet) N3 = CouplingLayerHINT(nc, n_hidden; permute="full", logdet=logdet) N0 = Composition(N1, N2, N3); N0.forward(rand(Float32, nx, ny, nc, batchsize)) θ0 = deepcopy(get_params(N0)) N1 = CouplingLayerHINT(nc, n_hidden; permute="full", logdet=logdet) N2 = ActNorm(nc; logdet=logdet) N3 = CouplingLayerHINT(nc, n_hidden; permute="full", logdet=logdet) N = Composition(N1, N2, N3); N.forward(rand(Float32, nx, ny, nc, batchsize)) θ = deepcopy(get_params(N)) X = randn(Float32, nx, ny, nc, batchsize) # Perturbation (normalized) dθ = θ-θ0; dθ .*= norm.(θ0)./(norm.(dθ).+1f-10) dX = randn(Float32, nx, ny, nc, batchsize); dX *= norm(X)/norm(dX) # Jacobian eval dY, Y, _, _ = N.jacobian(dX, dθ, X) # Test print("\nJacobian test\n") h = 0.1f0 maxiter = 5 err5 = zeros(Float32, maxiter) err6 = zeros(Float32, maxiter) for j=1:maxiter set_params!(N, θ+h*dθ) Y_loc, _ = N.forward(X+h*dX) err5[j] = norm(Y_loc - Y) err6[j] = norm(Y_loc - Y - h*dY) print(err5[j], "; ", err6[j], "\n") global h = h/2f0 end @test isapprox(err5[end] / (err5[1]/2^(maxiter-1)), 1f0; atol=1f1) @test isapprox(err6[end] / (err6[1]/4^(maxiter-1)), 1f0; atol=1f1) # Adjoint test set_params!(N, θ) dY, Y, _, _ = N.jacobian(dX, dθ, X) dY_ = randn(Float32, size(dY)) dX_, dθ_, _, _ = N.adjointJacobian(dY_, Y) a = dot(dY, dY_) b = dot(dX, dX_)+dot(dθ, dθ_) @test isapprox(a, b; rtol=1f-3)
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2.178586
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# introduce embedding between matrices (vectors) of different dimensions """ mat_embed(X, dim; zero_pos = -1, tpin = "her", tpout = "her") This function embeds X into new dimensions dim, with the Cartesian order of the entries are preserved. Fill in zeros at zero_pos if necessary. # Arguments - `X`: a Hermitian or rectangular matrice - `dim`: target dimension, array-like [Nnew,Mnew] - `zero_pos`: an array of user specify Cartesian position for zeros. if it is -1, then use randomly generated position. - `tpin`: the type of input matrix, valid options are "her" and "rec". - `tpout`: the type of ouput matrix, valid options are "her" and "rec" # Outputs - `Xnew`: a matrix of dimension dim and the type tpin. The entries Xnew are from X, with possible extra zeros at zero_pos, """ function mat_embed(X, dim; zero_pos = -1, tpin = "her", tpout = "her") # get the original dimension X = X[:,:] N, M = size(X) # get the target dimension Nnew, Mnew = dim # check the input dimension if mat is Hermitian if (tpin == "her") & (N != M) error("Input dimension is not for a Hermitian matrix!") end # reshape X into vector according to type in if tpin == "her" in_size = N*(N + 1)/2 Xvec = [X[i,j] for i=1:N for j=i:N] elseif tpin == "rec" in_size = N*M Xvec = vec(X) end # check whether there is enough room in the target shape if tpout == "her" out_size = Int((Nnew - 1)*Nnew/2) elseif tpout == "rec" out_size = Nnew*Mnew end if out_size < in_size error("The target dimension is too small!") end # if the position of zeros are not preset, generate one if zero_pos == -1 zero_pos = sample(1:out_size, out_size - in_size, replace=false) end # Construct Xnewvec Xnewvec = zeros(out_size) Xnewvec[[i for i in 1: out_size if ~(i in zero_pos)]] = Xvec # reshape Xnewvec to Xnew if tpout == "her" k = 0 Xnew = [i < j ? (k += 1; Xnewvec[k]) : 0 for i = 1: Nnew, j = 1: Mnew] Xnew = Xnew + Xnew' elseif tpout == "rec" Xnew = reshape(Xnewvec, (Nnew, Mnew)) end return convert(Array{typeof(X[1,1]), 2}, Xnew) end
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2.162544
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using BayesianMixtures using Statistics n_total = 1000 # total number of MCMC sweeps to run # _____________________________________________________________________________________ # Check samplers on univariate data n = 50 x = randn(n) for mode_ in ["Normal","NormalNonoptimized"] for model_type_ in ["MFM","DPM"] # Run MCMC sampler options = BayesianMixtures.options(mode_,model_type_,x,n_total) result = BayesianMixtures.run_sampler(options) end end # _____________________________________________________________________________________ # Check samplers on multivariate data d = 3 n = 50 x = randn(n,d) x = (x .- mean(x,dims=1))./std(x,dims=1; corrected=false) x = [x[i,:] for i=1:n] for mode_ in ["MVN","MVNaaC","MVNaaN","MVNaaRJ"] for model_type_ in ["MFM","DPM"] if model_type_=="DPM" && mode_=="MVNaaRJ"; continue; end # Run MCMC sampler options = BayesianMixtures.options(mode_,model_type_,x,n_total) result = BayesianMixtures.run_sampler(options) end end # _____________________________________________________________________________________ # Check other functions using univariate data # Settings mode = "Normal" model_type = "MFM" n = 100 B = BayesianMixtures # Generate data and run sampler x = randn(n) options = B.options(mode,model_type,x,n_total) result = B.run_sampler(options) # Save and load B.save_result("temp.jld",result) result2 = B.load_result("temp.jld") B.t_running(result) B.t_posterior(result) B.k_posterior(result) B.plot_density_estimate(result) k,a,w,theta = B.sample_mixture_parameters(result,50) loglik = B.log_likelihoods(x,w,theta,mode) B.open_figure(1) B.traceplot(result.t); P.pause(0.5); P.clf() B.traceplot_timewise(result,1); P.pause(0.5); P.clf() B.plot_t_running(result); P.pause(0.5); P.clf() B.plot_autocorrelation(result,20); P.pause(0.5); P.clf() B.plot_t_posterior(result); P.pause(0.5); P.clf() B.plot_t_posterior_average([result]); P.pause(0.5); P.clf() B.plot_k_posterior(result); P.pause(0.5); P.clf() B.plot_k_posterior_average([result]); P.pause(0.5); P.clf() B.plot_similarity_matrix(result); P.pause(0.5); P.clf() B.plot_clusters(x,result.z[:,end]); P.pause(0.5); P.clf() B.rug_plot(x); P.pause(0.5); P.clf() B.plot_density_estimate(result); P.pause(0.5); P.clf() # _____________________________________________________________________________________ # Check other functions using multivariate data # Settings mode = "MVN" model_type = "MFM" d = 2 n = 100 B = BayesianMixtures # Generate data and run sampler x = randn(n,d) x = (x .- mean(x,dims=1))./std(x,dims=1; corrected=false) x = [x[i,:] for i=1:n] options = B.options(mode,model_type,x,n_total) result = B.run_sampler(options) # Save and load B.save_result("temp.jld",result) result2 = B.load_result("temp.jld") B.t_running(result) B.t_posterior(result) B.k_posterior(result) B.plot_density_estimate(result) k,a,w,theta = B.sample_mixture_parameters(result,50) loglik = B.log_likelihoods(x,w,theta,mode) B.open_figure(1) B.traceplot(result.t); P.pause(0.5); P.clf() B.traceplot_timewise(result,1); P.pause(0.5); P.clf() B.plot_t_running(result); P.pause(0.5); P.clf() B.plot_autocorrelation(result,20); P.pause(0.5); P.clf() B.plot_t_posterior(result); P.pause(0.5); P.clf() B.plot_t_posterior_average([result]); P.pause(0.5); P.clf() B.plot_k_posterior(result); P.pause(0.5); P.clf() B.plot_k_posterior_average([result]); P.pause(0.5); P.clf() B.plot_similarity_matrix(result); P.pause(0.5); P.clf() B.plot_clusters(x,result.z[:,end]); P.pause(0.5); P.clf() B.plot_density_estimate(result); P.pause(0.5); P.clf()
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function Kprec( pw_grid::PWGrid, psi::Array{ComplexF64,2} ) Ncol = size(psi)[2] G2 = pw_grid.G2 Npoints = pw_grid.Npoints Kpsi = zeros( ComplexF64, size(psi) ) for ic = 1:Ncol for ip = 1:Npoints Kpsi[ip,ic] = psi[ip,ic] / ( 1.0 + G2[ip] ) end end return Kpsi end function Kprec(psi) return psi end
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#!/usr/bin/env julia # test polygon simplification using Luxor using Test using Random Random.seed!(42) function sinecurves() gsave() translate(100, 100) setline(0.25) sethue(0, 0, 0) x_vals = collect(0:pi/180: 40pi) # generate array of Points plist = [Point(d * 2pi , -sin(d) * cos(20 * d) * 8 * sin(d/10)) for d in x_vals] prettypoly(plist, :stroke, () -> (gsave(); randomhue(); circle(O, 0.5, :stroke); grestore())) text("original " * string(length(plist)) * " vertices" , 0, -15) for detail in [0.01, 0.05, 0.1, 0.2, 0.5, 0.75, 1.0, 2.0] translate(0, 50) simplified = simplify(plist, detail) prettypoly(simplified, :stroke, () -> (gsave(); randomhue(); circle(O, 0.5, :stroke); grestore())) text("detail $(detail), " * string(length(simplified)) * " vertices" , 0, -15) end grestore() end function test(pagewidth, pageheight) translate(100, pageheight/2) g = GridRect(O, 0, 60) setline(0.25) sethue(0, 0, 0) x_vals = collect(0:pi/100: 4pi) polyline = [Point(d * 20pi, 5 * -sin(d) * cos(12 * d) * 8 * sin(d/10)) for d in x_vals] poly(polyline, :stroke) prettypoly(polyline) text("original " * string(length(polyline)) * " vertices" , 0, -30) for detail in [0.01, 0.05, 0.075, 0.1, 0.2, 0.5, 0.75, 1.0, 2.0] gsave() translate(nextgridpoint(g)) polysimple = simplify(polyline, detail) prettypoly(polysimple, :stroke, () -> (gsave(); randomhue(); circle(O, 2, :stroke); grestore())) text(" detail ($detail), " * string(length(polysimple)) * " vertices" , 0, -20) grestore() end end function simplify_poly(fname) pagewidth = 1190.0 # points pageheight = 1684.0 # points Drawing(pagewidth, pageheight, fname) sinecurves() test(pagewidth, pageheight) @test finish() == true println("...finished test: output in $(fname)") end function simplify_square() poly = Point[Point(-1.0, 0.0), Point(-1.0, -1.0), Point(0.0, -1.0), Point(1.0, -1.0), Point(1.0, 0.0), Point(1.0, 1.0), Point(0.0, 1.0), Point(-1.0, 1.0)] poly = simplify(poly, 0.01) @test poly == Point[Point(-1.0, 0.0), Point(-1.0, -1.0), Point(1.0, -1.0), Point(1.0, 1.0), Point(-1.0, 1.0)] end simplify_poly("simplify-poly.pdf") simplify_square()
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using RBNF using MLStyle using PrettyPrint @as_record Token @as_record Struct_mainprogram @as_record Struct_ifstmt @as_record Struct_gate @as_record Struct_gatedecl @as_record Struct_decl @as_record Struct_barrier_ids @as_record Struct_reset @as_record Struct_measure @as_record Struct_iduop @as_record Struct_u @as_record Struct_cx @as_record Struct_h @as_record Struct_x @as_record Struct_y @as_record Struct_z @as_record Struct_s @as_record Struct_sdg @as_record Struct_t @as_record Struct_tdg @as_record Struct_rx @as_record Struct_ry @as_record Struct_rz @as_record Struct_ch @as_record Struct_crx @as_record Struct_cry @as_record Struct_crz @as_record Struct_idlist @as_record Struct_mixedlist @as_record Struct_argument @as_record Struct_explist @as_record Struct_pi @as_record Struct_fnexp @as_record Struct_neg @as_record Struct_bin function rec(ctx_tokens) function app(op, args...) args = map(rec, args) op = Symbol(op) :($op($(args...))) end @match ctx_tokens begin Struct_pi(_) => Base.pi Token{:id}(str=str) => Symbol(str) Token{:nnreal}(str=str) => parse(Float64, str) Token{:nninteger}(str=str) => parse(Int64, str) Struct_neg(value=value) => :(-$(rec(value))) Struct_bin(l=l, op=Token(str=op), r=r) => app(op, l, r) Struct_idlist(hd=Token(str=hd), tl=nothing) => [Symbol(hd)] Struct_idlist(hd=Token(str=hd), tl=tl) => [Symbol(hd), rec(tl)...] Struct_explist(hd=hd, tl=nothing) => [rec(hd)] Struct_explist(hd=hd, tl=tl) => [rec(hd), rec(tl)...] Struct_mixedlist(hd=hd, tl=nothing) => [rec(hd)] Struct_mixedlist(hd=hd, tl=tl) => [rec(hd), rec(tl)...] Struct_argument(id=Token(str=id), arg=nothing) => Symbol(id) Struct_argument(id=Token(str=id), arg=Token(str=int)) => let ind = parse(Int, int) + 1 # due to julia 1-based index :($(Symbol(id))[$ind]) end Struct_fnexp(fn = Token(str=fn), arg=arg) => let fn = @match fn begin "sin" => sin "cos" => cos "tan" => tan "exp" => exp "ln" => log "sqrt"=> sqrt _ => error("not impl yet") end app(fn, arg) end _ => nothing end end function trans_reg(ctx_tokens, qregs) function app(op, args...) args = map(rec, args) op = Symbol(op) :($op($(args...))) end @match ctx_tokens begin Struct_decl( regtype = Token(str=regtype), id = Token(str=id), int = Token(str = n) ) => let id = Symbol(id), n = parse(Int, n) return :($id = qreg($n); push!($qregs, $id)) end Struct_mainprogram( prog = stmts ) => let stmts = trans_reg.(stmts, qregs) stmts end _ => nothing end end function trans_gates(ctx_tokens, qasm_cgc, N) function app(op, args...) args = map(rec, args) op = Symbol(op) :($op($(args...))) end @match ctx_tokens begin Struct_iduop(gate_name = Token(str=gate_name), args=nothing, outs=outs) => let refs = rec(outs), gate_name = Symbol("custom_gate_"*gate_name) :($gate_name(nothing, $(refs...); qasm_cgc=$qasm_cgc, N=$N)) end Struct_iduop(gate_name = Token(str=gate_name), args=exprlist, outs=outs) => let refs = rec(outs), exprs = Expr(:tuple, rec(exprlist)...), gate_name = Symbol("custom_gate_"*gate_name) :($gate_name($exprs, $(refs...); qasm_cgc=$qasm_cgc, N=$N)) end Struct_cx(out1=out1, out2=out2) => let ref1 = rec(out1), ref2 = rec(out2) :(append!($qasm_cgc, [circuit_gate(($ref2), X, ($ref1))])) end Struct_ch(out1=out1, out2=out2) => let ref1 = rec(out1), ref2 = rec(out2) :(append!($qasm_cgc, [circuit_gate(($ref2), HadamardGate(), ($ref1))])) end Struct_u(in1=in1, in2=in2, in3=in3, out=out) => let (a, b, c) = map(rec, (in1, in2, in3)), ref = :($(rec(out))[1]) :(append!($qasm_cgc, [circuit_gate(($ref), RzGate($a)), circuit_gate(($ref), RyGate($b)), circuit_gate(($ref), RzGate($c)),])) end Struct_x(out=out) => let ref = :($(rec(out))) :(append!($qasm_cgc, [circuit_gate(($ref), X)])) end Struct_y(out=out) => let ref = :($(rec(out))) :(append!($qasm_cgc, [circuit_gate(($ref), Y)])) end Struct_z(out=out) => let ref = :($(rec(out))) :(append!($qasm_cgc, [circuit_gate(($ref), Z)])) end Struct_h(out=out) => let ref = :($(rec(out))) :(append!($qasm_cgc, [circuit_gate(($ref), HadamardGate())])) end Struct_t(out=out) => let ref = :($(rec(out))) :(append!($qasm_cgc, [circuit_gate(($ref), TGate())])) end Struct_tdg(out=out) => let ref = :($(rec(out))) :(append!($qasm_cgc, [circuit_gate(($ref), TdagGate())])) end Struct_s(out=out) => let ref = :($(rec(out))) :(append!($qasm_cgc, [circuit_gate(($ref), SGate())])) end Struct_sdg(out=out) => let ref = :($(rec(out))) :(append!($qasm_cgc, [circuit_gate(($ref), SdagGate())])) end Struct_rx(in=in, out=out) => let ref = :($(rec(out))), arg = :($(rec(in))) :(append!($qasm_cgc, [circuit_gate(($ref), RxGate($arg))])) end Struct_ry(in=in, out=out) => let ref = :($(rec(out))), arg = :($(rec(in))) :(append!($qasm_cgc, [circuit_gate(($ref), RyGate($arg))])) end Struct_rz(in=in, out=out) => let ref = :($(rec(out))), arg = :($(rec(in))) :(append!($qasm_cgc, [circuit_gate(($ref), RzGate($arg))])) end Struct_crx(in=in, out1=out1, out2=out2) => let out = :($(rec(out2))), cntrl = :($(rec(out1))), arg = :($(rec(in))) :(append!($qasm_cgc, [circuit_gate(($out), RxGate($arg), ($cntrl))])) end Struct_cry(in=in, out1=out1, out2=out2) => let out = :($(rec(out2))), cntrl = :($(rec(out1))), arg = :($(rec(in))) :(append!($qasm_cgc, [circuit_gate(($out), RyGate($arg), ($cntrl))])) end Struct_crz(in=in, out1=out1, out2=out2) => let out = :($(rec(out2))), cntrl = :($(rec(out1))), arg = :($(rec(in))) :(append!($qasm_cgc, [circuit_gate(($out), RzGate($arg), ($cntrl))])) end Struct_gate( decl = Struct_gatedecl( id=Token(str=fid), args=args, outs=outs ), goplist=goplist ) => let out_ids :: Vector{Symbol} = rec(outs), fid = Symbol("custom_gate_"*fid), args = rec(args), goplist = trans_gates.(goplist, Ref(qasm_cgc), Ref(N)) if isnothing(goplist) goplist=[] end if isnothing(args) args=[] end quote function $fid(($(args...), ), $(out_ids...); qasm_cgc=$qasm_cgc, N=$N) $(goplist...) end end end # Struct_ifstmt(l=Token(str=l), r=r, gate_name=Token(str=gate_name), args=nothing, outs=outs) => # let l = Symbol(l), # r = rec(r), # refs = rec(outs), # gate_name = Symbol("custom_gate_"*gate_name) # :($gate_name(nothing, reg_check($l,$r), $(refs...); qasm_cgc=$qasm_cgc, N=$N)) # end # Struct_ifstmt(l=Token(str=l), r=r, gate_name=Token(str=gate_name), args=exprlist, outs=outs) => # let l = Symbol(l), # r = rec(r), # refs = rec(outs), # exprs = Expr(:tuple, rec(exprlist)...), # gate_name = Symbol("custom_gate_"*gate_name) # :($gate_name($exprs, reg_check($l,$r), $(refs...); qasm_cgc=$qasm_cgc, N=$N)) # end Struct_mainprogram( prog = stmts ) => let stmts = trans_gates.(stmts, qasm_cgc, N) stmts end _ => nothing end end function transform_qasm(ctx_tokens) qregs = Qaintessent.QRegister[] reg_declr = trans_reg(ctx_tokens, Ref(qregs)) eval.(reg_declr) qasm_cgc = Circuit(qregs...) N = num_wires(qasm_cgc) gates_declr = trans_gates(ctx_tokens, Ref(qasm_cgc), Ref(N)) eval.(gates_declr) qasm_cgc end """ qasm2cgc(txt::String) converts OpenQASM 2.0 text to Circuit{N} object """ function qasm2cgc(txt::String) qasmlex = lex(txt) qasmparse = parse_qasm(qasmlex) qasm_cgc = transform_qasm(qasmparse) end function Base.:(==)(dcl1::Struct_gate, dcl2::Struct_gate) dcl1.decl == dcl2.decl && dcl1.goplist == dcl2.goplist end
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using Pkg if isfile("Project.toml") && isfile("Manifest.toml") Pkg.activate(".") end
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export time_modeling # Setup time-domain linear or nonlinear foward and adjoint modeling and interface to devito function time_modeling(model_full::Model, srcGeometry, srcData, recGeometry, recData, dm, op::Char, mode::Int64, options) # Load full geometry for out-of-core geometry containers recGeometry = Geometry(recGeometry) srcGeometry = Geometry(srcGeometry) # Reutrn directly for J*0 if op=='J' && mode == 1 if norm(dm) == 0 && options.return_array == false return judiVector(recGeometry, zeros(Float32, recGeometry.nt[1], length(recGeometry.xloc[1]))) elseif norm(dm) == 0 && options.return_array == true return vec(zeros(Float32, recGeometry.nt[1], length(recGeometry.xloc[1]))) end end # limit model to area with sources/receivers if options.limit_m == true model = deepcopy(model_full) model, dm = limit_model_to_receiver_area(srcGeometry, recGeometry, model, options.buffer_size; pert=dm) else model = model_full end # Set up Python model structure modelPy = devito_model(model, options; dm=dm) # Load shot record if stored on disk typeof(recData) == SegyIO.SeisCon && (recData = convert(Array{Float32,2}, recData[1].data)) # Remove receivers outside the modeling domain (otherwise leads to segmentation faults) recGeometry, recData = remove_out_of_bounds_receivers(recGeometry, recData, model) # Devito interface argout = devito_interface(modelPy, model, srcGeometry, srcData, recGeometry, recData, dm, options) # Extend gradient back to original model size if op=='J' && mode==-1 && options.limit_m==true argout = extend_gradient(model_full, model, argout) end return argout end # Function instance without options time_modeling(model::Model, srcGeometry::Geometry, srcData, recGeometry::Geometry, recData, perturbation, srcnum::Int64, op::Char, mode::Int64) = time_modeling(model, srcGeometry, srcData, recGeometry, recData, perturbation, srcnum, op, mode, Options())
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type BayesTreeNodeData frontalIDs::Vector{Int} conditIDs::Vector{Int} inmsgIDs::Vector{Int} potIDs::Vector{Int} # this is likely redundant TODO -- remove potentials::Vector{Int} cliqAssocMat::Array{Bool,2} cliqMsgMat::Array{Bool,2} directvarIDs::Vector{Int} directFrtlMsgIDs::Vector{Int} msgskipIDs::Vector{Int} itervarIDs::Vector{Int} directPriorMsgIDs::Vector{Int} debug debugDwn BayesTreeNodeData() = new() BayesTreeNodeData(x...) = new(x[1],x[2],x[3],x[4],x[5],x[6],x[7],x[8],x[9],x[10],x[11],x[12],x[13],x[14]) end # TODO -- this should be a constructor function emptyBTNodeData() BayesTreeNodeData(Int[],Int[],Int[], Int[],Int[],Array{Bool}(0,0), Array{Bool}(0,0),Int[],Int[], Int[],Int[],Int[], nothing, nothing) end # BayesTree declarations type BayesTree bt btid::Int cliques::Dict{Int,Graphs.ExVertex} frontals::Dict{String,Int} end function emptyBayesTree() bt = BayesTree(Graphs.inclist(Graphs.ExVertex,is_directed=true), 0, Dict{Int,Graphs.ExVertex}(), #[], Dict{AbstractString, Int}()) return bt end # create a new clique function addClique!(bt::BayesTree, fg::FactorGraph, varID::Int, condIDs::Array{Int}=Int[]) bt.btid += 1 clq = Graphs.add_vertex!(bt.bt, ExVertex(bt.btid,string("Clique",bt.btid))) bt.cliques[bt.btid] = clq clq.attributes["label"] = "" # Specific data container clq.attributes["data"] = emptyBTNodeData() appendClique!(bt, bt.btid, fg, varID, condIDs) return clq end # generate the label for particular clique -- graphviz drawing function makeCliqueLabel(fgl::FactorGraph, bt::BayesTree, clqID::Int) clq = bt.cliques[clqID] flbl = "" clbl = "" for fr in clq.attributes["data"].frontalIDs flbl = string(flbl,localapi.getvertex(fgl,fr).attributes["label"], ",") #fgl.v[fr]. end for cond in clq.attributes["data"].conditIDs clbl = string(clbl, localapi.getvertex(fgl,cond).attributes["label"], ",") # fgl.v[cond]. end clq.attributes["label"] = string(flbl, ": ", clbl) end # add a conditional ID to clique function appendConditional(bt::BayesTree, clqID::Int, condIDs::Array{Int,1}) clq = bt.cliques[clqID] clq.attributes["data"].conditIDs = union(clq.attributes["data"].conditIDs, condIDs) end # Add a new frontal variable to clique function appendClique!(bt::BayesTree, clqID::Int, fg::FactorGraph, varID::Int, condIDs::Array{Int,1}=Int[]) clq = bt.cliques[clqID] var = localapi.getvertex(fg, varID) # fg.v[varID] # add frontal variable push!(clq.attributes["data"].frontalIDs,varID) # total dictionary of frontals for easy access bt.frontals[var.attributes["label"]] = clqID#bt.btid appendConditional(bt, clqID, condIDs) makeCliqueLabel(fg, bt, clqID) nothing end # instantiate a new child clique in the tree function newChildClique!(bt::BayesTree, fg::FactorGraph, CpID::Int, varID::Int, Sepj::Array{Int,1}) chclq = addClique!(bt, fg, varID, Sepj) parent = bt.cliques[CpID] # Staying with Graphs.jl for tree in first stage edge = Graphs.make_edge(bt.bt, parent, chclq) Graphs.add_edge!(bt.bt, edge) return chclq end # post order tree traversal and build potential functions function findCliqueFromFrontal(bt::BayesTree, frtlID::Int) for cliqPair in bt.cliques id = cliqPair[1] cliq = cliqPair[2] for frtl in cliq.attributes["data"].frontalIDs if frtl == frtlID return cliq end end end error("Clique with desired frontal ID not found") end # eliminate a variable for new function newPotential(tree::BayesTree, fg::FactorGraph, var::Int, prevVar::Int, p::Array{Int,1}) firvert = localapi.getvertex(fg,var) if (length(getData(firvert).separator) == 0) # warn("newPotential -- sep length is 0") if (length(tree.cliques) == 0) addClique!(tree, fg, var) else appendClique!(tree, 1, fg, var) # add to root end else Sj = getData(firvert).separator # find parent clique Cp that containts the first eliminated variable of Sj as frontal firstelim = 99999999999 for s in Sj temp = findfirst(p, s) if (temp < firstelim) firstelim = temp end end felbl = localapi.getvertex(fg, p[firstelim]).attributes["label"] CpID = tree.frontals[felbl] # look to add this conditional to the tree unFC = union(tree.cliques[CpID].attributes["data"].frontalIDs, tree.cliques[CpID].attributes["data"].conditIDs) if (sort(unFC) == sort(Sj)) appendClique!(tree, CpID, fg, var) else newChildClique!(tree, fg, CpID, var, Sj) end end end # build the whole tree in batch format function buildTree!(tree::BayesTree, fg::FactorGraph, p::Array{Int,1}) rp = flipdim(p,1) prevVar = 0 for var in rp newPotential(tree, fg, var, prevVar, p) prevVar = var end end ## Find batch belief propagation solution function prepBatchTree!(fg::FactorGraph; ordering::Symbol=:qr,drawpdf::Bool=false) p = IncrementalInference.getEliminationOrder(fg, ordering=ordering) println() fge = deepcopy(fg) println("Building Bayes net...") buildBayesNet!(fge, p) tree = emptyBayesTree() buildTree!(tree, fge, p) println("Bayes Net") # sleep(0.1) #fid = open("bn.dot","w+") #write(fid,to_dot(fge.bn)) #close(fid) # Michael reference -- x2->x1, x2->x3, x2->x4, x2->l1, x4->x3, l1->x3, l1->x4 println("Bayes Tree") if drawpdf fid = open("bt.dot","w+") write(fid,to_dot(tree.bt)) close(fid) run(`dot bt.dot -Tpdf -o bt.pdf`) end # GraphViz.Graph(to_dot(tree.bt)) #Michael reference 3sig -- x2l1x4x3 x1|x2 println("Find potential functions for each clique") cliq = tree.cliques[1] # start at the root buildCliquePotentials(fg, tree, cliq); # fg does not have the marginals as fge does # now update all factor graph vertices used for this tree for v in vertices(fg.g) dlapi.updatevertex!(fg, v) end return tree end function resetData!(vdata::VariableNodeData) vdata.eliminated = false vdata.BayesNetOutVertIDs = Int[] vdata.BayesNetVertID = 0 vdata.separator = Int[] nothing end function resetData!(vdata::FunctionNodeData) vdata.eliminated = false vdata.potentialused = false nothing end function resetFactorGraphNewTree!(fg::FactorGraph) for v in vertices(fg.g) resetData!(getData(v)) localapi.updatevertex!(fg, v) end nothing end function wipeBuildNewTree!(fg::FactorGraph; ordering=:qr,drawpdf=false) resetFactorGraphNewTree!(fg); return prepBatchTree!(fg, ordering=ordering, drawpdf=drawpdf); end function whichCliq{T <: AbstractString}(bt::BayesTree, frt::T) bt.cliques[bt.frontals[frt]] end whichCliq(bt::BayesTree, frt::Symbol) = whichCliq(bt, string(frt)) function appendUseFcts!(usefcts, lblid::Int, fct::Graphs.ExVertex, fid::Int) for tp in usefcts if tp == fct.index return nothing end end tpl = fct.index push!(usefcts, tpl ) nothing end function getCliquePotentials!(fg::FactorGraph, bt::BayesTree, cliq::Graphs.ExVertex) frtl = cliq.attributes["data"].frontalIDs cond = cliq.attributes["data"].conditIDs allids = [frtl;cond] alldimIDs = Int[] for fid in frtl alldimIDs = [alldimIDs; getData(localapi.getvertex(fg,fid)).dimIDs] end for cid in cond alldimIDs = [alldimIDs; getData(localapi.getvertex(fg,cid)).dimIDs] end for fid in frtl usefcts = [] for fct in localapi.outneighbors(fg, localapi.getvertex(fg,fid)) if getData(fct).potentialused!=true loutn = localapi.outneighbors(fg, fct) if length(loutn)==1 appendUseFcts!(usefcts, fg.IDs[Symbol(loutn[1].label)], fct, fid) # TODO -- make update vertex call fct.attributes["data"].potentialused = true localapi.updatevertex!(fg, fct) end for sepSearch in loutn sslbl = Symbol(sepSearch.label) if (fg.IDs[sslbl] == fid) continue # skip the fid itself end sea = findmin(abs.(allids-fg.IDs[sslbl])) if sea[1]==0.0 appendUseFcts!(usefcts, fg.IDs[sslbl], fct, fid) # usefcts = [usefcts;(fg.IDs[sslbl], fct, fid)] fct.attributes["data"].potentialused = true #fct.attributes["potentialused"] = true localapi.updatevertex!(fg, fct) end end end end cliq.attributes["data"].potentials=union(cliq.attributes["data"].potentials,usefcts) end return nothing end function getCliquePotentials!(fg::FactorGraph, bt::BayesTree, chkcliq::Int) getCliquePotentials!(fg, bt.cliques[chkcliq]) end function cliqPotentialIDs(cliq::Graphs.ExVertex) potIDs = Int[] for idfct in cliq.attributes["data"].potentials push!(potIDs,idfct) end return potIDs end function collectSeparators(bt::BayesTree, cliq::Graphs.ExVertex) allseps = Int[] for child in out_neighbors(cliq, bt.bt)#tree allseps = [allseps; child.attributes["data"].conditIDs] end return allseps end function compCliqAssocMatrices!(fgl::FactorGraph, bt::BayesTree, cliq::Graphs.ExVertex) frtl = cliq.attributes["data"].frontalIDs cond = cliq.attributes["data"].conditIDs inmsgIDs = collectSeparators(bt, cliq) potIDs = cliqPotentialIDs(cliq) # Construct associations matrix here # matrix has variables are columns, and messages/constraints as rows cols = [frtl;cond] cliq.attributes["data"].inmsgIDs = inmsgIDs cliq.attributes["data"].potIDs = potIDs cliqAssocMat = Array{Bool,2}(length(potIDs), length(cols)) cliqMsgMat = Array{Bool,2}(length(inmsgIDs), length(cols)) fill!(cliqAssocMat, false) fill!(cliqMsgMat, false) for j in 1:length(cols) for i in 1:length(inmsgIDs) if cols[j] == inmsgIDs[i] cliqMsgMat[i,j] = true end end for i in 1:length(potIDs) idfct = cliq.attributes["data"].potentials[i] if idfct == potIDs[i] # sanity check on clique potentials ordering for vertidx in getData(getVert(fgl, idfct, api=localapi)).fncargvID # for vertidx in getData(getVertNode(fgl, idfct)).fncargvID if vertidx == cols[j] cliqAssocMat[i,j] = true end end else prtslperr("compCliqAssocMatrices! -- potential ID ordering was lost") end end end cliq.attributes["data"].cliqAssocMat = cliqAssocMat cliq.attributes["data"].cliqMsgMat = cliqMsgMat nothing end function getCliqAssocMat(cliq::Graphs.ExVertex) cliq.attributes["data"].cliqAssocMat end function getCliqMsgMat(cliq::Graphs.ExVertex) cliq.attributes["data"].cliqMsgMat end function getCliqMat(cliq::Graphs.ExVertex; showmsg=true) assocMat = getCliqAssocMat(cliq) msgMat = getCliqMsgMat(cliq) mat = showmsg ? [assocMat;msgMat] : assocMat return mat end # function spyCliqMat(cliq::Graphs.ExVertex; showmsg=true) # mat = deepcopy(getCliqMat(cliq, showmsg=showmsg)) # # TODO -- add improved visualization here, iter vs skip # mat = map(Float64, mat)*2.0-1.0 # numlcl = size(getCliqAssocMat(cliq),1) # mat[(numlcl+1):end,:] *= 0.9 # mat[(numlcl+1):end,:] -= 0.1 # numfrtl1 = floor(Int,length(cliq.attributes["data"].frontalIDs)+1) # mat[:,numfrtl1:end] *= 0.9 # mat[:,numfrtl1:end] -= 0.1 # @show cliq.attributes["data"].itervarIDs # @show cliq.attributes["data"].directvarIDs # @show cliq.attributes["data"].msgskipIDs # @show cliq.attributes["data"].directFrtlMsgIDs # @show cliq.attributes["data"].directPriorMsgIDs # sp = Gadfly.spy(mat) # push!(sp.guides, Gadfly.Guide.title("$(cliq.attributes["label"]) || $(cliq.attributes["data"].frontalIDs) :$(cliq.attributes["data"].conditIDs)")) # push!(sp.guides, Gadfly.Guide.xlabel("fmcmcs $(cliq.attributes["data"].itervarIDs)")) # push!(sp.guides, Gadfly.Guide.ylabel("lcl=$(numlcl) || msg=$(size(getCliqMsgMat(cliq),1))" )) # return sp # end # function spyCliqMat(bt::BayesTree, lbl::Symbol; showmsg=true) # spyCliqMat(whichCliq(bt,lbl), showmsg=showmsg) # end function countSkips(bt::BayesTree) skps = 0 for cliq in bt.cliques m = getCliqMat(cliq[2]) mi = map(Int,m) skps += sum(map(Int,sum(mi,1) .== 1)) end return skps end function skipThroughMsgsIDs(cliq::Graphs.ExVertex) numfrtl1 = floor(Int,length(cliq.attributes["data"].frontalIDs)+1) condAssocMat = cliq.attributes["data"].cliqAssocMat[:,numfrtl1:end] condMsgMat = cliq.attributes["data"].cliqMsgMat[:,numfrtl1:end] mat = [condAssocMat;condMsgMat]; mab = sum(map(Int,mat),1) .== 1 mabM = sum(map(Int,condMsgMat),1) .== 1 mab = mab .& mabM # rang = 1:size(condMsgMat,2) msgidx = cliq.attributes["data"].conditIDs[vec(collect(mab))] return msgidx end function directPriorMsgIDs(cliq::Graphs.ExVertex) frtl = cliq.attributes["data"].frontalIDs cond = cliq.attributes["data"].conditIDs cols = [frtl;cond] mat = getCliqMat(cliq, showmsg=true) singr = sum(map(Int,mat),2) .== 1 rerows = collect(1:length(singr)) b = vec(collect(singr)) rerows2 = rerows[b] sumsrAc = sum(map(Int,mat[rerows2,:]),1) sumc = sum(map(Int,mat),1) pmSkipCols = (sumsrAc - sumc) .== 0 return cols[vec(collect(pmSkipCols))] end function directFrtlMsgIDs(cliq::Graphs.ExVertex) numfrtl = length(cliq.attributes["data"].frontalIDs) frntAssocMat = cliq.attributes["data"].cliqAssocMat[:,1:numfrtl] frtlMsgMat = cliq.attributes["data"].cliqMsgMat[:,1:numfrtl] mat = [frntAssocMat; frtlMsgMat]; mab = sum(map(Int,mat),1) .== 1 mabM = sum(map(Int,frtlMsgMat),1) .== 1 mab = mab .& mabM return cliq.attributes["data"].frontalIDs[vec(collect(mab))] end function directAssignmentIDs(cliq::Graphs.ExVertex) # NOTE -- old version been included in iterated variable stack assocMat = cliq.attributes["data"].cliqAssocMat msgMat = cliq.attributes["data"].cliqMsgMat mat = [assocMat;msgMat]; mab = sum(map(Int,mat),1) .== 1 mabA = sum(map(Int,assocMat),1) .== 1 mab = mab .& mabA frtl = cliq.attributes["data"].frontalIDs cond = cliq.attributes["data"].conditIDs cols = [frtl;cond] return cols[vec(collect(mab))] # also calculate how which are conditionals end function mcmcIterationIDs(cliq::Graphs.ExVertex) assocMat = cliq.attributes["data"].cliqAssocMat msgMat = cliq.attributes["data"].cliqMsgMat mat = [assocMat;msgMat]; sum(sum(map(Int,mat),1)) == 0 ? error("mcmcIterationIDs -- unaccounted variables") : nothing mab = 1 .< sum(map(Int,mat),1) frtl = cliq.attributes["data"].frontalIDs cond = cliq.attributes["data"].conditIDs cols = [frtl;cond] # dev code # prioritize prior'ed variables, then high degree next # get all prior type rows, should be prioritized # TODO -- maybe sort according to decreasing degree # singleperrows = 1 .== sum(map(Int,mat),2) # singleperrows = collect(singleperrows) # prioredvarsum = sum(map(Int,mat[singleperrows]),1) # prioredperm = sortperm(prioredvarsum, rev=true) # decreasing count #end dev code # final output return cols[vec(collect(mab))] end function setCliqMCIDs!(cliq::Graphs.ExVertex) cliq.attributes["data"].directPriorMsgIDs = directPriorMsgIDs(cliq) # NOTE -- combined larger iter group cliq.attributes["data"].directvarIDs = directAssignmentIDs(cliq) # cliq.attributes["data"].itervarIDs = mcmcIterationIDs(cliq) # NOTE -- fix direct vs itervar issue, DirectVarIDs against Iters should also Iter usset = union(mcmcIterationIDs(cliq), directAssignmentIDs(cliq)) cliq.attributes["data"].itervarIDs = setdiff(usset, cliq.attributes["data"].directPriorMsgIDs) cliq.attributes["data"].msgskipIDs = skipThroughMsgsIDs(cliq) cliq.attributes["data"].directFrtlMsgIDs = directFrtlMsgIDs(cliq) nothing end # post order tree traversal and build potential functions function buildCliquePotentials(fg::FactorGraph, bt::BayesTree, cliq::Graphs.ExVertex) for child in out_neighbors(cliq, bt.bt)#tree buildCliquePotentials(fg, bt, child) end println("Get potentials $(cliq.attributes["label"])"); getCliquePotentials!(fg, bt, cliq); compCliqAssocMatrices!(fg, bt, cliq); setCliqMCIDs!(cliq); nothing end
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function intersects_geometry(m::AbstractAccretionGeometry{T}, line_element) where {T} if in_nearby_region(m, line_element) return has_intersect(m, line_element) end false end in_nearby_region(d::AbstractAccretionGeometry{T}, line_element) where {T} = error("Not implemented for $(typeof(d))") has_intersect(d::AbstractAccretionGeometry{T}, line_element) where {T} = error("Not implemented for $(typeof(d))") # Jiménez, Segura, Feito. Computation Geometry 43 (2010) 474-492 function jsr_algorithm(V₁::T, V₂::T, V₃::T, Q₁::V, Q₂::V; ϵ = 1e-8) where {T,V} A = Q₁ .- V₃ B = V₁ .- V₃ C = V₂ .- V₃ W₁ = B × C w = A ⋅ W₁ if w > ϵ D = Q₂ .- V₃ s = D ⋅ W₁ s > ϵ && return false W₂ = A × D t = W₂ ⋅ C t < -ϵ && return false u = -W₂ ⋅ B u < -ϵ && return false w < s + t + u && return false elseif w < -ϵ return false else # w == 0 D = Q₂ .- V₃ s = D ⋅ W₁ if s > ϵ return false elseif s < -ϵ W₂ = D × A t = W₂ ⋅ C t > ϵ && return false u = -W₂ ⋅ B u > ϵ && return false -s > t + u && return false else return false end end true end
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1.72346
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module Sodium typealias size_t Csize_t typealias uint32_t Uint32 typealias uint8_t Uint8 include("ls_exports_h.jl") include("ls_common_h.jl") include("ls_sodium_h.jl") include("ls_defines_h.jl") end
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using Flux, Flux.Tracker using NeuralProcesses, NeuralProcesses.Experiment using Distributions using Plots using Random using PyCall @pyimport pickle function save(path, obj) out = open(path, "w") pickle.dump(obj, out) close(out) end convcnp = NeuralProcesses.untrack(best_model("models/convcnp/loglik/sawtooth.bson")) convnp = NeuralProcesses.untrack(best_model("models/convnp/loglik/sawtooth.bson")) p = Sawtooth() xt = collect(range(-2, 2, length=600)) yt = reshape(rand(p(xt, 1e-10)), :) inds = sort(randperm(length(xt))[1:7]) xc = xt[inds] yc = yt[inds] save("sawtooth/data.pickle", Dict( "xc" => xc, "yc" => yc, "xt" => xt, "yt" => yt )) xc = reshape(xc, :, 1, 1) yc = reshape(yc, :, 1, 1) xt = reshape(xt, :, 1, 1) yt = reshape(yt, :, 1, 1) # Embedding: xz = convcnp.encoder.disc(xc, xt, margin=16f0) xz, z = code(convcnp.encoder.coder[1], xc, yc, xz) inds = reshape((xz .>= -2) .& (xz .<= 2), :) plot(xz[inds, 1, 1], z[inds, 1, 1]) save("sawtooth/embedding.pickle", Dict( "xz" => xz[inds, 1, 1], "z1" => z[inds, 1, 1], "z2" => z[inds, 2, 1] )) xz, z = code(convcnp.encoder.coder[2], xz, z, xz) z = NeuralProcesses.sample(z, num_samples=1) # CNN: xz, z = code(convcnp.decoder[1], xz, z, xt) save("sawtooth/embedding_cnn.pickle", Dict( "xz" => xz[inds, 1, 1], "z1" => z[inds, 1, 1], "z2" => z[inds, 2, 1] )) xz, z = code(convcnp.decoder[2], xz, z, xt) xz, z = code(convcnp.decoder[3], xz, z, xt) xc = reshape(xc, :) yc = reshape(yc, :) xt = reshape(xt, :) yt = reshape(yt, :) μ = reshape(mean(z), :) σ = reshape(std(z), :) # Prediction: save("sawtooth/pred.pickle", Dict( "xt" => xt, "mu" => μ, "std" => σ )) # Also predict with ConvNP: _, _, _, samples = predict(convnp, xc, yc, xt; margin=16f0) save("sawtooth/pred_convnp.pickle", Dict( "xt" => xt, "samples" => samples ))
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__precompile__() module Configs include("utils.jl") using JSON, Memoize export getconfig, setconfig!, hasconfig, initconfig configs = nothing const configs_defaultorder = [ "default.json", "custom-environment-variables.json" ] function initconfig(;deployment_key = "DEPLOYMENT", configs_directory = "configs")::NamedTuple global configs = Dict{String, Any}() configs_order = copy(configs_defaultorder) configs_directory = parseenvkey("CONFIGS_DIRECTORY", configs_directory) deployment_key = parseenvkey("DEPLOYMENT_KEY", deployment_key) configs_files = getfiles(configs_directory) deployment = parseenvkey(deployment_key, false) deployment != false && insert!(configs_order, 2, lowercase(deployment) * ".json") filter!((file)-> file in configs_files, configs_order) for file in configs_order open(joinpath(configs_directory, file), "r") do filepath file_content = String(read(filepath)) newtree = JSON.parse(file_content) if file === "custom-environment-variables.json" parsecustomenv!(newtree) end override!(configs, newtree) end end (; configs_directory = configs_directory, deployment_key = deployment_key, configs_order = configs_order) end @memoize Dict{Tuple{String}, Any} function getconfig(path::String = "") global configs configs === nothing && initconfig() configs isa Dict && (configs = makeimmutable(configs)) path === "" && return configs epath = Meta.parse("configs.$path") try eval(epath) catch err throw(Configserror("no such config: " * path)) end end function setconfig!(path::String, value::String) try value = JSON.parse(value) catch err end value = pathtodict(path, value) setconfig!(value) end function setconfig!(path::String, value) value = pathtodict(path, value) setconfig!(value) end function setconfig!(path::String, value::Union{Tuple, AbstractArray, NamedTuple, Dict}) value = json(value) |> JSON.parse value = pathtodict(path, value) setconfig!(value) end function setconfig!(value::Dict) configs === nothing && initconfig() configs isa NamedTuple && throw(Configserror("""config is immutable. Please set all values before calling "get" """)) override!(configs, value) end function hasconfig(path::String)::Bool path === "" && throw(Configserror("a path is required to query a config")) configs === nothing && initconfig() subpaths = split(path, ".") ref = configs for i in eachindex(subpaths) subpath = Symbol(subpaths[i]) if haskey(ref, subpath) length(subpaths) === i && return true ref = ref[subpath] else return false end end end end
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""" function cudaAdapt_(code) Function that adapts vector declarations and math functions to CUDA. """ function cudaAdapt_(code::Expr) #Subs all math l = [i for i in names(Base.Math) if isdefined(CUDA,i) && i != :(^)] for i in l code = subs_(code,i,Meta.parse(string("CUDA.","$i"))) end #Subs power code = postwalk(x->@capture(x, a_^b_) && typeof(b) != Int ? :(Float32($a)^$b) : x, code) #Subs vectors for i in [:zeros,:ones] code = subs_(code,i,Meta.parse(string("CUDA.","$i"))) end code = subs_(code,:Array,Meta.parse(string("CUDA.CuArray"))) code = subs_(code,INT,INTCUDA) code = subs_(code,FLOAT,FLOATCUDA) return code end
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module LiquidsStructureGrids ### Imports using Reexport @reexport using ApproximationGrids @reexport using LiquidsStructure import ApproximationGrids: ApproximationGrid ### Exports export StructureFactorGrid ### Implemetation struct StructureFactorGrid{S <: StructureFactor, G <: ApproximationGrid} f::S grid::G end function Base.show(io::IO, ::MIME"text/plain", s::StructureFactorGrid) print(io, "$(s.f),$(s.grid)") end end # module
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""" :( """ function DryBubble_θ_liq_ice(::Type{FT}) where {FT} z_in = FT[ 25., 75., 125., 175., 225., 275., 325., 375., 425., 475., 525., 575., 625., 675., 725., 775., 825., 875., 925., 975., 1025., 1075., 1125., 1175., 1225., 1275., 1325., 1375., 1425., 1475., 1525., 1575., 1625., 1675., 1725., 1775., 1825., 1875., 1925., 1975., 2025., 2075., 2125., 2175., 2225., 2275., 2325., 2375., 2425., 2475., 2525., 2575., 2625., 2675., 2725., 2775., 2825., 2875., 2925., 2975., 3025., 3075., 3125., 3175., 3225., 3275., 3325., 3375., 3425., 3475., 3525., 3575., 3625., 3675., 3725., 3775., 3825., 3875., 3925., 3975., 4025., 4075., 4125., 4175., 4225., 4275., 4325., 4375., 4425., 4475., 4525., 4575., 4625., 4675., 4725., 4775., 4825., 4875., 4925., 4975., 5025., 5075., 5125., 5175., 5225., 5275., 5325., 5375., 5425., 5475., 5525., 5575., 5625., 5675., 5725., 5775., 5825., 5875., 5925., 5975., 6025., 6075., 6125., 6175., 6225., 6275., 6325., 6375., 6425., 6475., 6525., 6575., 6625., 6675., 6725., 6775., 6825., 6875., 6925., 6975., 7025., 7075., 7125., 7175., 7225., 7275., 7325., 7375., 7425., 7475., 7525., 7575., 7625., 7675., 7725., 7775., 7825., 7875., 7925., 7975., 8025., 8075., 8125., 8175., 8225., 8275., 8325., 8375., 8425., 8475., 8525., 8575., 8625., 8675., 8725., 8775., 8825., 8875., 8925., 8975., 9025., 9075., 9125., 9175., 9225., 9275., 9325., 9375., 9425., 9475., 9525., 9575., 9625., 9675., 9725., 9775., 9825., 9875., 9925., 9975. ] θ_liq_ice_in = FT[ 299.9834, 299.9836, 299.9841, 299.985 , 299.9864, 299.9883, 299.9907, 299.9936, 299.9972, 300.0012, 300.0058, 300.011 , 300.0166, 300.0228, 300.0293, 300.0363, 300.0436, 300.0512, 300.0591, 300.0672, 300.0755, 300.0838, 300.0921, 300.1004, 300.1086, 300.1167, 300.1245, 300.132 , 300.1393, 300.1461, 300.1525, 300.1583, 300.1637, 300.1685, 300.1726, 300.1762, 300.179 , 300.1812, 300.1826, 300.1833, 300.1833, 300.1826, 300.1812, 300.179 , 300.1762, 300.1727, 300.1685, 300.1637, 300.1584, 300.1525, 300.1461, 300.1393, 300.1321, 300.1245, 300.1167, 300.1087, 300.1005, 300.0922, 300.0838, 300.0755, 300.0673, 300.0592, 300.0513, 300.0437, 300.0364, 300.0294, 300.0228, 300.0167, 300.0111, 300.0059, 300.0013, 299.9972, 299.9937, 299.9908, 299.9884, 299.9865, 299.9851, 299.9842, 299.9837, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9835, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9836, 299.9837, 299.9837, 299.9837, 299.9837, 299.9837, 299.9837, 299.9837, 299.9837, 299.9837, 299.9837, 299.9837, 299.9837, 299.9837, 299.9837, 299.9837, 299.9837, 299.9837, 299.9837, 299.9837, 299.9837, 299.9837, 299.9837 ] profile = Dierckx.Spline1D(z_in, θ_liq_ice_in; k = 1) return profile end """ :( """ function DryBubble_updrafts_z(::Type{FT}) where {FT} z_in = FT[ 75., 125., 175., 225., 275., 325., 375., 425., 475., 525., 575., 625., 675., 725., 775., 825., 875., 925., 975., 1025., 1075., 1125., 1175., 1225., 1275., 1325., 1375., 1425., 1475., 1525., 1575., 1625., 1675., 1725., 1775., 1825., 1875., 1925., 1975., 2025., 2075., 2125., 2175., 2225., 2275., 2325., 2375., 2425., 2475., 2525., 2575., 2625., 2675., 2725., 2775., 2825., 2875., 2925., 2975., 3025., 3075., 3125., 3175., 3225., 3275., 3325., 3375., 3425., 3475., 3525., 3575., 3625., 3675., 3725., 3775., 3825., 3875., 3925.] return z_in end """ :( """ function DryBubble_updrafts_θ_liq_ice(::Type{FT}) where {FT} z_in = DryBubble_updrafts_z(FT) θ_liq_in = FT[ 299.9882, 299.996 , 300.0063, 300.0205, 300.04 , 300.0594, 300.0848, 300.1131, 300.1438, 300.1766, 300.2198, 300.2567, 300.2946, 300.3452, 300.3849, 300.4245, 300.4791, 300.5182, 300.574 , 300.6305, 300.6668, 300.7222, 300.7771, 300.8074, 300.8591, 300.9092, 300.9574, 300.9758, 301.0182, 301.0579, 301.0944, 301.1276, 301.1572, 301.1515, 301.1729, 301.1902, 301.2033, 301.2122, 301.2167, 301.2169, 301.2127, 301.2041, 301.1913, 301.1743, 301.1533, 301.1593, 301.1299, 301.097 , 301.0606, 301.0212, 300.9788, 300.9607, 300.9125, 300.8625, 300.8108, 300.7806, 300.7256, 300.6701, 300.6338, 300.5772, 300.5212, 300.482 , 300.4272, 300.3875, 300.3354, 300.2968, 300.2587, 300.2216, 300.1782, 300.1452, 300.1143, 300.0859, 300.0603, 300.0408, 300.0211, 300.0067, 299.9963, 299.9884] profile = Dierckx.Spline1D(z_in, θ_liq_in; k = 1) return profile end """ :( """ function DryBubble_updrafts_area(::Type{FT}) where {FT} z_in = DryBubble_updrafts_z(FT) Area_in = FT[ 0.04 , 0.055, 0.07 , 0.08 , 0.085, 0.095, 0.1 , 0.105, 0.11 , 0.115, 0.115, 0.12 , 0.125, 0.125, 0.13 , 0.135, 0.135, 0.14 , 0.14 , 0.14 , 0.145, 0.145, 0.145, 0.15 , 0.15 , 0.15 , 0.15 , 0.155, 0.155, 0.155, 0.155, 0.155, 0.155, 0.16 , 0.16 , 0.16 , 0.16 , 0.16 , 0.16 , 0.16 , 0.16 , 0.16 , 0.16 , 0.16 , 0.16 , 0.155, 0.155, 0.155, 0.155, 0.155, 0.155, 0.15 , 0.15 , 0.15 , 0.15 , 0.145, 0.145, 0.145, 0.14 , 0.14 , 0.14 , 0.135, 0.135, 0.13 , 0.13 , 0.125, 0.12 , 0.115, 0.115, 0.11 , 0.105, 0.1 , 0.095, 0.085, 0.08 , 0.07 , 0.055, 0.04] profile = Dierckx.Spline1D(z_in, Area_in; k = 1) return profile end """ :( """ function DryBubble_updrafts_w(::Type{FT}) where {FT} z_in = DryBubble_updrafts_z(FT) W_in = FT[ 0.017 , 0.0266, 0.0344, 0.0417, 0.0495, 0.0546, 0.061 , 0.0668, 0.0721, 0.0768, 0.0849, 0.0887, 0.092 , 0.0996, 0.1019, 0.1037, 0.1106, 0.1114, 0.1179, 0.1243, 0.1238, 0.1297, 0.1355, 0.1335, 0.1387, 0.1437, 0.1485, 0.1448, 0.1489, 0.1527, 0.1564, 0.1597, 0.1628, 0.1565, 0.1588, 0.1609, 0.1626, 0.1641, 0.1652, 0.166 , 0.1665, 0.1667, 0.1666, 0.1662, 0.1655, 0.1736, 0.1722, 0.1706, 0.1686, 0.1664, 0.1639, 0.1698, 0.1667, 0.1634, 0.1599, 0.1641, 0.1601, 0.1559, 0.1589, 0.1543, 0.1496, 0.1514, 0.1464, 0.1475, 0.1422, 0.1425, 0.1424, 0.1419, 0.1361, 0.135 , 0.1335, 0.1316, 0.1294, 0.1302, 0.1271, 0.1264, 0.1269, 0.1256] profile = Dierckx.Spline1D(z_in, W_in; k = 1) return profile end """ :( """ function DryBubble_updrafts_T(::Type{FT}) where {FT} z_in = DryBubble_updrafts_z(FT) T_in = FT[ 299.2557, 298.775 , 298.2969, 297.8227, 297.3536, 296.8843, 296.421 , 295.9603, 295.502 , 295.0456, 294.5994, 294.1468, 293.6951, 293.2556, 292.8054, 292.3549, 291.9188, 291.4677, 291.0325, 290.5978, 290.1434, 289.7073, 289.2706, 288.81 , 288.3698, 287.928 , 287.4842, 287.0118, 286.5622, 286.1099, 285.6544, 285.1957, 284.7335, 284.2379, 283.7677, 283.2937, 282.8157, 282.3337, 281.8476, 281.3574, 280.8631, 280.3649, 279.8626, 279.3565, 278.8467, 278.362 , 277.8447, 277.3241, 276.8006, 276.2742, 275.7454, 275.2388, 274.705 , 274.1694, 273.6327, 273.1155, 272.576 , 272.0363, 271.514 , 270.9736, 270.4339, 269.9094, 269.3711, 268.8465, 268.311 , 267.7877, 267.2649, 266.7432, 266.2159, 265.698 , 265.1821, 264.6685, 264.1574, 263.6518, 263.1461, 262.6451, 262.1476, 261.6524] profile = Dierckx.Spline1D(z_in, T_in; k = 1) return profile end
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1.820021
4,745
const ElectronSite = TagType"Electron" function siteinds(::ElectronSite, N::Int; kwargs...) conserve_qns = get(kwargs,:conserve_qns,false) conserve_sz = get(kwargs,:conserve_sz,conserve_qns) conserve_nf = get(kwargs,:conserve_nf,conserve_qns) conserve_parity = get(kwargs,:conserve_parity,conserve_qns) if conserve_sz && conserve_nf em = QN(("Nf",0,-1),("Sz", 0)) => 1 up = QN(("Nf",1,-1),("Sz",+1)) => 1 dn = QN(("Nf",1,-1),("Sz",-1)) => 1 ud = QN(("Nf",2,-1),("Sz", 0)) => 1 return [Index(em,up,dn,ud;tags="Site,Electron,n=$n") for n=1:N] elseif conserve_nf zer = QN("Nf",0,-1) => 1 one = QN("Nf",1,-1) => 2 two = QN("Nf",2,-1) => 1 return [Index(zer,one,two;tags="Site,Electron,n=$n") for n=1:N] elseif conserve_sz em = QN(("Sz", 0),("Pf",0,-2)) => 1 up = QN(("Sz",+1),("Pf",1,-2)) => 1 dn = QN(("Sz",-1),("Pf",1,-2)) => 1 ud = QN(("Sz", 0),("Pf",0,-2)) => 1 return [Index(em,up,dn,ud;tags="Site,Electron,n=$n") for n=1:N] elseif conserve_parity zer = QN("Pf",0,-2) => 1 one = QN("Pf",1,-2) => 2 two = QN("Pf",0,-2) => 1 return [Index(zer,one,two;tags="Site,Electron,n=$n") for n=1:N] end return [Index(4,"Site,Electron,n=$n") for n=1:N] end function state(::ElectronSite, st::AbstractString) if st == "Emp" || st == "0" return 1 elseif st == "Up" || st == "↑" return 2 elseif st == "Dn" || st == "↓" return 3 elseif st == "UpDn" || st == "↑↓" return 4 end throw(ArgumentError("State string \"$st\" not recognized for Electron site")) return 0 end function op(::ElectronSite, s::Index, opname::AbstractString)::ITensor Emp = s(1) EmpP = s'(1) Up = s(2) UpP = s'(2) Dn = s(3) DnP = s'(3) UpDn = s(4) UpDnP = s'(4) Op = emptyITensor(s',dag(s)) if opname == "Nup" Op[UpP, Up] = 1. Op[UpDnP, UpDn] = 1. elseif opname == "Ndn" Op[DnP, Dn] = 1. Op[UpDnP, UpDn] = 1. elseif opname == "Nupdn" Op[UpDnP, UpDn] = 1. elseif opname == "Ntot" Op[UpP, Up] = 1. Op[DnP, Dn] = 1. Op[UpDnP, UpDn] = 2. elseif opname == "Cup" Op[EmpP, Up] = +1. Op[DnP, UpDn] = +1. elseif opname == "Cdagup" Op[UpP, Emp] = +1. Op[UpDnP, Dn] = +1. elseif opname == "Cdn" Op[EmpP, Dn] = +1. Op[UpP, UpDn] = -1. elseif opname == "Cdagdn" Op[DnP, Emp] = +1. Op[UpDnP, Up] = -1. # Aup,Adagup,Adn,Adagdn below # are "bosonic" versions of # the creation/annihilation # C operators defined above elseif opname == "Aup" Op[EmpP, Up] = 1. Op[DnP, UpDn] = 1. elseif opname == "Adagup" Op[UpP, Emp] = 1. Op[UpDnP, Dn] = 1. elseif opname == "Adn" Op[EmpP, Dn] = 1. Op[UpP, UpDn] = 1. elseif opname == "Adagdn" Op[DnP, Emp] = 1. Op[UpDnP, Up] = 1. elseif opname=="F" || opname=="FermiPhase" || opname=="FP" Op[UpP, Up] = -1. Op[EmpP, Emp] = 1. Op[DnP, Dn] = -1. Op[UpDnP, UpDn] = 1. elseif opname == "Fup" Op[EmpP, Emp] = 1. Op[UpP, Up] = -1. Op[DnP, Dn] = 1. Op[UpDnP, UpDn] = -1. elseif opname == "Fdn" Op[EmpP, Emp] = 1. Op[UpP, Up] = 1. Op[DnP, Dn] = -1. Op[UpDnP, UpDn] = -1. elseif opname == "Sᶻ" || opname == "Sz" Op[UpP, Up] = 0.5 Op[DnP, Dn] = -0.5 elseif opname == "Sˣ" || opname == "Sx" Op[DnP, Up] = 0.5 Op[UpP, Dn] = 0.5 elseif opname=="S+" || opname=="Sp" || opname == "S⁺" || opname == "Splus" Op[UpP, Dn] = 1.0 elseif opname=="S-" || opname=="Sm" || opname == "S⁻" || opname == "Sminus" Op[DnP, Up] = 1.0 elseif opname == "Emp" || opname == "0" pEmp = emptyITensor(s) pEmp[Emp] = 1.0 return pEmp elseif opname == "Up" || opname == "↑" pU = emptyITensor(s) pU[Up] = 1.0 return pU elseif opname == "Dn" || opname == "↓" pD = emptyITensor(s) pD[Dn] = 1.0 return pD elseif opname == "UpDn" || opname == "↑↓" pUD = emptyITensor(s) pUD[UpDn] = 1.0 return pUD else throw(ArgumentError("Operator name $opname not recognized for ElectronSite")) end return Op end function has_fermion_string(::ElectronSite, s::Index, opname::AbstractString)::Bool if opname=="Cup" || opname=="Cdagup" || opname=="Cdn" || opname=="Cdagdn" return true end return false end
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import java.io.BufferedReader; import java.io.ByteArrayInputStream; import java.io.ByteArrayOutputStream; import java.io.InputStreamReader; import java.io.PrintStream; import java.nio.file.Files; import java.nio.file.OpenOption; import java.nio.file.Path; import java.nio.file.Paths; import java.nio.file.StandardOpenOption; import java.security.KeyPair; import java.security.KeyPairGenerator; import java.security.PrivateKey; import java.security.PublicKey; import java.util.ArrayList; import accrue.cryptoerase.runtime.CryptoLibrary; public class Log { private final SimpleIRCClient parent; private static final OpenOption[] defaultOpenOptions = { StandardOpenOption.TRUNCATE_EXISTING, StandardOpenOption.CREATE }; // ANNOTATION: key declaration private PrivateKey PRIVKEY(L /parent.clearHistory T){L} privkey = null; // ANNOTATION: key declaration private PublicKey PUBKEY(L /parent.clearHistory T){L} pubkey = null; // ANNOTATION: field erasure type private ArrayList{L /parent.clearHistory T} buffer; private int historyLength; public Log(SimpleIRCClient parent) { this.parent = parent; KeyPair kp = null; try { KeyPairGenerator kpg = KeyPairGenerator.getInstance("RSA"); kpg.initialize(2048); // 2048 is the keysize kp = kpg.generateKeyPair(); } catch (Exception e) {} privkey = kp.getPrivate(); pubkey = kp.getPublic(); // privkey = (PRIVKEY(L /parent.clearHistory T){L}) kp.getPrivate(); // pubkey = (PUBKEY(L /parent.clearHistory T){L}) kp.getPublic(); buffer = new ArrayList(); historyLength = 0; } public int historyLength() { return (this.historyLength < 1) ? 0 : this.historyLength - 1; } public ArrayList getScreen(int num) { try { if (num < 0 || num >= historyLength - 1) { return null; } Path file = Paths.get("irclog." + num, new String[0]); byte[] bytes = Files.readAllBytes(file); ArrayList compressed = CryptoLibrary.decryptStrings(privkey, bytes); return CryptoLibrary.decompressStrings(compressed); } catch (Throwable e) {} return null; } public void writeLine(String line) { try { int bufferSize = 0; try { buffer.add(line); bufferSize = buffer.size(); } catch (Throwable e) {} // Declassify whether we've received more than 20 messages since the last write // ANNOTATION: declassification boolean writeOut = ({L}) bufferSize >= 20; if (writeOut) { ArrayList compressed = null; try { compressed = CryptoLibrary.compressStrings(buffer); } catch (Throwable e) {} byte[] bytes = CryptoLibrary.encryptStrings(pubkey, compressed); /* // INJECTABLE FAULT: attempt to write high data to disk byte[] bytes = new byte[100]; bytes[0] = ({H}) ((byte)42); */ Path file = Paths.get("irclog." + historyLength, new String[0]); Files.write(file, bytes, defaultOpenOptions); buffer.clear(); historyLength++; } } catch (Throwable e) {} } }
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# The following is taken from StatsBase # https://github.com/JuliaStats/StatsBase.jl/blob/master/src/sampling.jl # which is available under the following MIT license: # Copyright (c) 2012-2016: Dahua Lin, Simon Byrne, Andreas Noack, Douglas Bates, John Myles White, Simon Kornblith, and other contributors. # Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: # The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. function fisher_yates_sample!(rng::AbstractRNG, a::AbstractArray, x::AbstractArray) n = length(a) k = length(x) k <= n || error("length(x) should not exceed length(a)") inds = Vector{Int}(undef, n) for i = 1:n @inbounds inds[i] = i end @inbounds for i = 1:k j = rand(rng, i:n) t = inds[j] inds[j] = inds[i] inds[i] = t x[i] = a[t] end return x end fisher_yates_sample!(a::AbstractArray, x::AbstractArray) = fisher_yates_sample!(Random.GLOBAL_RNG, a, x)
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# single line #= Multi- line comment =#
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17
module Atmos export AtmosModel, AtmosAcousticLinearModel, AtmosAcousticGravityLinearModel, RemainderModel, AtmosLESConfiguration, AtmosGCMConfiguration using LinearAlgebra, StaticArrays using ..VariableTemplates using ..MoistThermodynamics using ..PlanetParameters import ..MoistThermodynamics: internal_energy using ..SubgridScaleParameters using GPUifyLoops using ..MPIStateArrays: MPIStateArray using ..Mesh.Grids: VerticalDirection, HorizontalDirection, min_node_distance import CLIMA.DGmethods: BalanceLaw, vars_aux, vars_state, vars_gradient, vars_diffusive, flux_nondiffusive!, flux_diffusive!, source!, wavespeed, boundary_state!, gradvariables!, diffusive!, init_aux!, init_state!, update_aux!, LocalGeometry, lengthscale, resolutionmetric, DGModel, calculate_dt, nodal_update_aux!, num_state, num_integrals, vars_integrals, vars_reverse_integrals, indefinite_stack_integral!, reverse_indefinite_stack_integral!, integral_load_aux!, integral_set_aux!, reverse_integral_load_aux!, reverse_integral_set_aux! import ..DGmethods.NumericalFluxes: boundary_state!, boundary_flux_diffusive!, NumericalFluxNonDiffusive, NumericalFluxGradient, NumericalFluxDiffusive """ AtmosModel <: BalanceLaw A `BalanceLaw` for atmosphere modeling. # Usage AtmosModel(orientation, ref_state, turbulence, moisture, radiation, source, boundarycondition, init_state) """ struct AtmosModel{FT,O,RS,T,M,P,R,S,BC,IS} <: BalanceLaw orientation::O ref_state::RS turbulence::T moisture::M precipitation::P radiation::R source::S # TODO: Probably want to have different bc for state and diffusion... boundarycondition::BC init_state::IS end function calculate_dt(grid, model::AtmosModel, Courant_number) T = 290.0 return Courant_number * min_node_distance(grid, VerticalDirection()) / soundspeed_air(T) end abstract type AtmosConfiguration end struct AtmosLESConfiguration <: AtmosConfiguration end struct AtmosGCMConfiguration <: AtmosConfiguration end function AtmosModel{FT}(::Type{AtmosLESConfiguration}; orientation::O=FlatOrientation(), ref_state::RS=HydrostaticState(LinearTemperatureProfile(FT(200), FT(280), FT(grav) / FT(cp_d)), FT(0)), turbulence::T=SmagorinskyLilly{FT}(0.21), moisture::M=EquilMoist(), precipitation::P=NoPrecipitation(), radiation::R=NoRadiation(), source::S=( Gravity(), Coriolis(), GeostrophicForcing{FT}(7.62e-5, 0, 0)), # TODO: Probably want to have different bc for state and diffusion... boundarycondition::BC=NoFluxBC(), init_state::IS=nothing) where {FT<:AbstractFloat,O,RS,T,M,P,R,S,BC,IS} @assert init_state ≠ nothing atmos = ( orientation, ref_state, turbulence, moisture, precipitation, radiation, source, boundarycondition, init_state, ) return AtmosModel{FT,typeof.(atmos)...}(atmos...) end function AtmosModel{FT}(::Type{AtmosGCMConfiguration}; orientation::O = SphericalOrientation(), ref_state::RS = HydrostaticState( LinearTemperatureProfile( FT(200), FT(280), FT(grav) / FT(cp_d)), FT(0)), turbulence::T = SmagorinskyLilly{FT}(0.21), moisture::M = EquilMoist(), precipitation::P = NoPrecipitation(), radiation::R = NoRadiation(), source::S = (Gravity(), Coriolis()), boundarycondition::BC = NoFluxBC(), init_state::IS=nothing) where {FT<:AbstractFloat,O,RS,T,M,P,R,SU,S,BC,IS} @assert init_state ≠ nothing atmos = ( orientation, ref_state, turbulence, moisture, precipitation, radiation, source, boundarycondition, init_state, ) return AtmosModel{FT,typeof.(atmos)...}(atmos...) end function vars_state(m::AtmosModel, FT) @vars begin ρ::FT ρu::SVector{3,FT} ρe::FT turbulence::vars_state(m.turbulence, FT) moisture::vars_state(m.moisture, FT) radiation::vars_state(m.radiation, FT) end end function vars_gradient(m::AtmosModel, FT) @vars begin u::SVector{3,FT} h_tot::FT turbulence::vars_gradient(m.turbulence,FT) moisture::vars_gradient(m.moisture,FT) end end function vars_diffusive(m::AtmosModel, FT) @vars begin ∇h_tot::SVector{3,FT} turbulence::vars_diffusive(m.turbulence,FT) moisture::vars_diffusive(m.moisture,FT) end end function vars_aux(m::AtmosModel, FT) @vars begin ∫dz::vars_integrals(m, FT) ∫dnz::vars_reverse_integrals(m, FT) coord::SVector{3,FT} orientation::vars_aux(m.orientation, FT) ref_state::vars_aux(m.ref_state,FT) turbulence::vars_aux(m.turbulence,FT) moisture::vars_aux(m.moisture,FT) radiation::vars_aux(m.radiation,FT) end end function vars_integrals(m::AtmosModel,FT) @vars begin radiation::vars_integrals(m.radiation,FT) end end function vars_reverse_integrals(m::AtmosModel,FT) @vars begin radiation::vars_reverse_integrals(m.radiation,FT) end end include("orientation.jl") include("ref_state.jl") include("turbulence.jl") include("moisture.jl") include("precipitation.jl") include("radiation.jl") include("source.jl") include("boundaryconditions.jl") include("linear.jl") include("remainder.jl") """ flux_nondiffusive!(m::AtmosModel, flux::Grad, state::Vars, aux::Vars, t::Real) Computes flux non-diffusive flux portion of `F` in: ``` ∂Y -- = - ∇ • (F_{adv} + F_{press} + F_{nondiff} + F_{diff}) + S(Y) ∂t ``` Where - `F_{adv}` Advective flux ; see [`flux_advective!`]@ref() - `F_{press}` Pressure flux ; see [`flux_pressure!`]@ref() - `F_{diff}` Fluxes that state gradients; see [`flux_diffusive!`]@ref() """ @inline function flux_nondiffusive!(m::AtmosModel, flux::Grad, state::Vars, aux::Vars, t::Real) ρ = state.ρ ρinv = 1/ρ ρu = state.ρu u = ρinv * ρu # advective terms flux.ρ = ρ * u flux.ρu = ρ * u .* u' flux.ρe = u * state.ρe # pressure terms p = pressure(m.moisture, m.orientation, state, aux) if m.ref_state isa HydrostaticState flux.ρu += (p-aux.ref_state.p)*I else flux.ρu += p*I end flux.ρe += u*p flux_radiation!(m.radiation, m, flux, state, aux, t) flux_moisture!(m.moisture, m, flux, state, aux, t) end function gradvariables!(atmos::AtmosModel, transform::Vars, state::Vars, aux::Vars, t::Real) ρinv = 1/state.ρ transform.u = ρinv * state.ρu transform.h_tot = total_specific_enthalpy(atmos.moisture, atmos.orientation, state, aux) gradvariables!(atmos.moisture, transform, state, aux, t) gradvariables!(atmos.turbulence, transform, state, aux, t) end function diffusive!(atmos::AtmosModel, diffusive::Vars, ∇transform::Grad, state::Vars, aux::Vars, t::Real) diffusive.∇h_tot = ∇transform.h_tot # diffusion terms required for SGS turbulence computations diffusive!(atmos.turbulence, atmos.orientation, diffusive, ∇transform, state, aux, t) # diffusivity of moisture components diffusive!(atmos.moisture, diffusive, ∇transform, state, aux, t) end @inline function flux_diffusive!(atmos::AtmosModel, flux::Grad, state::Vars, diffusive::Vars, aux::Vars, t::Real) ν, τ = turbulence_tensors(atmos.turbulence, state, diffusive, aux, t) D_t = (ν isa Real ? ν : diag(ν)) * inv_Pr_turb d_h_tot = -D_t .* diffusive.∇h_tot flux_diffusive!(atmos, flux, state, τ, d_h_tot) flux_diffusive!(atmos.moisture, flux, state, diffusive, aux, t, D_t) end #TODO: Consider whether to not pass ρ and ρu (not state), foc BCs reasons @inline function flux_diffusive!(atmos::AtmosModel, flux::Grad, state::Vars, τ, d_h_tot) flux.ρu += τ * state.ρ flux.ρe += τ * state.ρu flux.ρe += d_h_tot * state.ρ end @inline function wavespeed(m::AtmosModel, nM, state::Vars, aux::Vars, t::Real) ρinv = 1/state.ρ u = ρinv * state.ρu return abs(dot(nM, u)) + soundspeed(m.moisture, m.orientation, state, aux) end function update_aux!(dg::DGModel, m::AtmosModel, Q::MPIStateArray, t::Real) FT = eltype(Q) auxstate = dg.auxstate if num_integrals(m, FT) > 0 indefinite_stack_integral!(dg, m, Q, auxstate, t) reverse_indefinite_stack_integral!(dg, m, Q, auxstate, t) end nodal_update_aux!(atmos_nodal_update_aux!, dg, m, Q, t) return true end function atmos_nodal_update_aux!(m::AtmosModel, state::Vars, aux::Vars, t::Real) atmos_nodal_update_aux!(m.moisture, m, state, aux, t) atmos_nodal_update_aux!(m.radiation, m, state, aux, t) atmos_nodal_update_aux!(m.turbulence, m, state, aux, t) end function integral_load_aux!(m::AtmosModel, integ::Vars, state::Vars, aux::Vars) integral_load_aux!(m.radiation, integ, state, aux) end function integral_set_aux!(m::AtmosModel, aux::Vars, integ::Vars) integral_set_aux!(m.radiation, aux, integ) end function reverse_integral_load_aux!(m::AtmosModel, integ::Vars, state::Vars, aux::Vars) reverse_integral_load_aux!(m.radiation, integ, state, aux) end function reverse_integral_set_aux!(m::AtmosModel, aux::Vars, integ::Vars) reverse_integral_set_aux!(m.radiation, aux, integ) end # TODO: figure out a nice way to handle this function init_aux!(m::AtmosModel, aux::Vars, geom::LocalGeometry) aux.coord = geom.coord atmos_init_aux!(m.orientation, m, aux, geom) atmos_init_aux!(m.ref_state, m, aux, geom) atmos_init_aux!(m.turbulence, m, aux, geom) end """ source!(m::AtmosModel, source::Vars, state::Vars, diffusive::Vars, aux::Vars, t::Real) Computes flux `S(Y)` in: ``` ∂Y -- = - ∇ • F + S(Y) ∂t ``` """ function source!(m::AtmosModel, source::Vars, state::Vars, diffusive::Vars, aux::Vars, t::Real) atmos_source!(m.source, m, source, state, diffusive, aux, t) end boundary_state!(nf, m::AtmosModel, x...) = atmos_boundary_state!(nf, m.boundarycondition, m, x...) function init_state!(m::AtmosModel, state::Vars, aux::Vars, coords, t, args...) m.init_state(m, state, aux, coords, t, args...) end boundary_flux_diffusive!(nf::NumericalFluxDiffusive, atmos::AtmosModel, F, state⁺, diff⁺, aux⁺, n⁻, state⁻, diff⁻, aux⁻, bctype, t, state1⁻, diff1⁻, aux1⁻) = atmos_boundary_flux_diffusive!(nf, atmos.boundarycondition, atmos, F, state⁺, diff⁺, aux⁺, n⁻, state⁻, diff⁻, aux⁻, bctype, t, state1⁻, diff1⁻, aux1⁻) end # module
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using ApproxFun, LinearAlgebra, Test import ApproxFun: Infinity, ∞ @testset "Helper" begin @testset "interlace" begin @test ApproxFun.interlace!([-1.0],0) == [-1.0] @test ApproxFun.interlace!([1.0,2.0],0) == [2.0,1.0] @test ApproxFun.interlace!([1,2,3],0) == [2,1,3] @test ApproxFun.interlace!([1,2,3,4],0) == [3,1,4,2] @test ApproxFun.interlace!([-1.0],1) == [-1.0] @test ApproxFun.interlace!([1.0,2.0],1) == [1.0,2.0] @test ApproxFun.interlace!([1,2,3],1) == [1,3,2] @test ApproxFun.interlace!([1,2,3,4],1) == [1,3,2,4] @test ApproxFun.interlace(collect(6:10),collect(1:5)) == ApproxFun.interlace!(collect(1:10),0) @test ApproxFun.interlace(collect(1:5),collect(6:10)) == ApproxFun.interlace!(collect(1:10),1) end @testset "Iterators" begin @test cache(ApproxFun.BlockInterlacer((1:∞,[2],[2])))[1:6] == [(1,1),(2,1),(2,2),(3,1),(3,2),(1,2)] @test collect(ApproxFun.BlockInterlacer(([2],[2],[2]))) == [(1,1),(1,2),(2,1),(2,2),(3,1),(3,2)] end # TODO: Tensorizer tests end @testset "Domain" begin @test 0.45-0.65im ∉ Segment(-1,1) @test reverseorientation(Arc(1,2,(0.1,0.2))) == Arc(1,2,(0.2,0.1)) @test 0.1 ∈ PeriodicSegment(2π,0) @test 100.0 ∈ PeriodicSegment(0,2π) @test -100.0 ∈ PeriodicSegment(0,2π) @test ApproxFun.AnySegment() == ApproxFun.AnySegment() @test 10.0 ∈ PeriodicLine() @test -10.0 ∈ PeriodicLine() @test -10.0+im ∉ PeriodicLine() @test ApproxFun.Vec(0,0.5) ∈ PeriodicSegment(ApproxFun.Vec(0.0,0), ApproxFun.Vec(0,1)) @test ApproxFun.dimension(Domain{Float64}) == 1 @test ApproxFun.dimension(Segment{Float64}) == 1 @test ApproxFun.dimension(ChebyshevInterval()) == 1 @test ApproxFun.dimension(ChebyshevInterval()^2) == 2 @test ApproxFun.dimension(ChebyshevInterval()^3) == 3 @test ApproxFun.Vec(1,0) ∈ Circle((0.,0.),1.) @test isambiguous(convert(ApproxFun.Point,ApproxFun.AnyDomain())) @test isambiguous(ApproxFun.Point(ApproxFun.AnyDomain())) @test_skip ApproxFun.Point(NaN) == ApproxFun.Point(NaN) end @time include("MatrixTest.jl") @time include("ClenshawTest.jl") @time include("ChebyshevTest.jl") @time include("FourierTest.jl") @time include("ComplexTest.jl") @time include("NumberTypeTest.jl") @time include("broadcastingtest.jl") @time include("OperatorTest.jl") @time include("ODETest.jl") @time include("VectorTest.jl") @time include("SingularitiesTest.jl") @time include("IntegralEquationsTest.jl") @time include("SpacesTest.jl") @time include("JacobiTest.jl") @time include("LaguerreTest.jl") @time include("HermiteTest.jl") @time include("ETDRK4Test.jl") @time include("MultivariateTest.jl") @time include("PDETest.jl") @time include("ExtrasTest.jl")
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""" CartInd(i1, i2, is...) Represents a "scalar" index of a multidimensional associative (`Assoc`/`Arr`). """ struct CartInd{N, T <: NTuple{N,Any}} inds::T end CartInd(inds::T) where {N, T <: NTuple{N, Any}} = CartInd{N, T}(inds) CartInd{N}(inds::T) where {N, T <: NTuple{N, Any}} = CartInd{N, T}(inds) CartInd(inds...) = CartInd(inds) """ CartProd(indices1, indices2, ...) Represents the Cartesian product of the index sets `indices1`, `indices2`, ect. The elements are `CartInd(first(indices1), first(indices2), ...)` and so-on. """ struct CartProd{N, I <: CartInd{N}, T <: CartInd{N}, Inds <: NTuple{N,Any}} <: Associative{I, T} indices::Inds end # TODO constructors that `collect` on `KeyIterator`s and so-on? # The indices of a Cartesian product are another Cartesian Product. # e.g. if c = CartProd(([:a,:b,:c], 2:4)), then indices(c) = CartProd(OneTo(3), OneTo(3)) indices(c::CartProd) = CartProd(map(indices, c.indices)) IndexStyle(c::CartProd) = IndexDirect() @propagate_inbounds function getindex(c::CartProd{N}, i::CartInd{N}) CartInd(map(getindex, c.indices, i.inds)) end # Eventually this falls back to a Cartesian range start(c::CartProd{N, NTuple{N, OneTo}}) = map(start, c.indices) function next(c::CartProd{N}, inds::NTuple{N, Any}) end done(c::CartProd{N}, inds::NTuple{N, Any}) = all(map(done, c.indices, i)) # TODO CartSlice - may be a mixture of ranges and scalars, dimensions following APL rules
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type Subplots <: PlotWidget widget::PyObject plots::Vector{Plot} n::Int nrowsOverride::Int ncolsOverride::Int nrows::Int ncols::Int Subplots() = new(PLOT.SubplotWidget(), [], 0, 0, 0) end function updateGrid(sp::Subplots) if sp.nrowsOverride == 0 if sp.ncolsOverride == 0 sp.nrows = round(Int, sqrt(sp.n)) sp.ncols = ceil(Int, sp.n / sp.nrows) else sp.ncols = sp.ncolsOverride sp.nrows = ceil(Int, sp.n / sp.ncols) end else sp.nrows = sp.nrowsOverride sp.ncols = ceil(Int, sp.n / sp.nrows) end end function getplot(sp::Subplots, c::Int) while c > length(sp.plots) push!(sp.plots, Plot()) sp.n += 1 updateGrid(sp) end sp.plots[c] end function refresh(sp::Subplots) for plt in sp.plots refresh(plt) end widgets = reshape([[plt.widget for plt in sp.plots] ; fill(nothing, sp.nrows*sp.ncols - sp.n)], sp.ncols, sp.nrows)' sp.widget[:addFigures](widgets) nothing end subplot(y; kvs...) = subplot(; y = y, kvs...) subplot(x, y; kvs...) = subplot(; x = x, y = y, kvs...) function subplot(; kvs...) sp = Subplots() resizewidget(sp, 800, 600) moveToLastScreen(sp) d = Dict(kvs) sp.nrowsOverride = get(d, :nrows, 0) sp.ncolsOverride = get(d, :ncols, 0) if !((:show, false) in kvs) push!(kvs, (:show, true)) end oplot(sp; kvs...) sp end
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# This file was generated by the Julia Swagger Code Generator # Do not modify this file directly. Modify the swagger specification instead. mutable struct VirtualMachineScaleSetVMNetworkProfileConfiguration <: SwaggerModel networkInterfaceConfigurations::Any # spec type: Union{ Nothing, Vector{VirtualMachineScaleSetNetworkConfiguration} } # spec name: networkInterfaceConfigurations function VirtualMachineScaleSetVMNetworkProfileConfiguration(;networkInterfaceConfigurations=nothing) o = new() validate_property(VirtualMachineScaleSetVMNetworkProfileConfiguration, Symbol("networkInterfaceConfigurations"), networkInterfaceConfigurations) setfield!(o, Symbol("networkInterfaceConfigurations"), networkInterfaceConfigurations) o end end # type VirtualMachineScaleSetVMNetworkProfileConfiguration const _property_map_VirtualMachineScaleSetVMNetworkProfileConfiguration = Dict{Symbol,Symbol}(Symbol("networkInterfaceConfigurations")=>Symbol("networkInterfaceConfigurations")) const _property_types_VirtualMachineScaleSetVMNetworkProfileConfiguration = Dict{Symbol,String}(Symbol("networkInterfaceConfigurations")=>"Vector{VirtualMachineScaleSetNetworkConfiguration}") Base.propertynames(::Type{ VirtualMachineScaleSetVMNetworkProfileConfiguration }) = collect(keys(_property_map_VirtualMachineScaleSetVMNetworkProfileConfiguration)) Swagger.property_type(::Type{ VirtualMachineScaleSetVMNetworkProfileConfiguration }, name::Symbol) = Union{Nothing,eval(Base.Meta.parse(_property_types_VirtualMachineScaleSetVMNetworkProfileConfiguration[name]))} Swagger.field_name(::Type{ VirtualMachineScaleSetVMNetworkProfileConfiguration }, property_name::Symbol) = _property_map_VirtualMachineScaleSetVMNetworkProfileConfiguration[property_name] function check_required(o::VirtualMachineScaleSetVMNetworkProfileConfiguration) true end function validate_property(::Type{ VirtualMachineScaleSetVMNetworkProfileConfiguration }, name::Symbol, val) end
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import Base.+, Base.-, Base./, Base.*, Base.^ import SchumakerSpline.evaluate function evaluate(f::Undefined_Function, point::Union{Real,Date,DateTime,DatePeriod}) missing end function (s::Undefined_Function)(x::Union{Real,Date,DateTime,DatePeriod}) return missing end """ derivative(f::UnivariateFunction) This calculates the derivative of the function and returns it as a `UnivariateFunction`. ### Inputs * `f` - A `UnivariateFunction`. ### Returns * A `UnivariateFunction`. """ function derivative(f::Undefined_Function) return f end """ indefinite_integral(f::UnivariateFunction) This calculates the indefinite integral of a `UnivariateFunction`. ### Inputs * `f` - A `UnivariateFunction`. ### Returns * A `UnivariateFunction`. """ function indefinite_integral(f::Undefined_Function) return f end function +(f::Undefined_Function, number::Real) return f end function -(f::Undefined_Function, number::Real) return f end function *(f::Undefined_Function, number::Real) return f end function /(f::Undefined_Function, number::Real) return f end function ^(f::Undefined_Function, number::Integer) return f end function +(f1::Undefined_Function, f2::Undefined_Function) return f1 end function +(f1::Undefined_Function, f2::PE_Function) return f1 end function +(f1::Undefined_Function, f2::Sum_Of_Functions) return f1 end function +(f1::Undefined_Function, f2::Piecewise_Function) return f1 end function +(f1::PE_Function, f2::Undefined_Function) return +(f2,f1) end function +(f1::Sum_Of_Functions, f2::Undefined_Function) return +(f2,f1) end function +(f1::Piecewise_Function, f2::Undefined_Function) return +(f2,f1) end function -(f1::Undefined_Function, f2::Undefined_Function) return f1 end function -(f1::Undefined_Function, f2::PE_Function) return f1 end function -(f1::Undefined_Function, f2::Sum_Of_Functions) return f1 end function -(f1::Undefined_Function, f2::Piecewise_Function) return f1 end function -(f1::PE_Function, f2::Undefined_Function) return -(f2,f1) end function -(f1::Sum_Of_Functions, f2::Undefined_Function) return -(f2,f1) end function -(f1::Piecewise_Function, f2::Undefined_Function) return -(f2,f1) end function *(f1::Undefined_Function, f2::Undefined_Function) return f1 end function *(f1::Undefined_Function, f2::PE_Function) return f1 end function *(f1::Undefined_Function, f2::Sum_Of_Functions) return f1 end function *(f1::Undefined_Function, f2::Piecewise_Function) return f1 end function *(f1::PE_Function, f2::Undefined_Function) return *(f2,f1) end function *(f1::Sum_Of_Functions, f2::Undefined_Function) return *(f2,f1) end function *(f1::Piecewise_Function, f2::Undefined_Function) return *(f2,f1) end function /(f1::Undefined_Function, f2::Undefined_Function) return f1 end function /(f1::Undefined_Function, f2::PE_Function) return f1 end function /(f1::Undefined_Function, f2::Sum_Of_Functions) return f1 end function /(f1::Undefined_Function, f2::Piecewise_Function) return f1 end function /(f1::PE_Function, f2::Undefined_Function) return /(f2,f1) end function /(f1::Sum_Of_Functions, f2::Undefined_Function) return /(f2,f1) end function /(f1::Piecewise_Function, f2::Undefined_Function) return /(f2,f1) end
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2.593286
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__precompile__(true) module cNODE # libraries using Distributed using Flux using Flux.Optimise: update!, apply! using DiffEqFlux using Zygote: gradient using MLDataPattern: eachbatch, splitobs, shuffleobs using DifferentialEquations: ODEProblem, solve, Tsit5 using Distributions: Normal, Uniform using Statistics, LinearAlgebra using SparseArrays, SharedArrays using DelimitedFiles # functions include("./module/generator.jl") export getParameters, getIC, getGLV export getSteadyState, getRewiredNetwork export generate_data include("./module/trainer.jl") export FitnessLayer export getModel export predict export loss export train_reptile include("./module/loader.jl") export import_data export split_data # Parameters for module const synthetic_data = ["Strength","Connectivity","Universality","Noise","Rewiring"] const real_data = ["Drosophila_Gut","Soil_Vitro","Soil_Vivo","Human_Gut","Human_Oral","Ocean"] const S = [.1,.15,.2] const C = [0.5,0.75,1] const U = [0.1,1,2] const E = [.001,.01,.025] const R = [.01,.1,.25] export synthetic_data, real_data export S, C, U, E, R end
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function survive(blood_type, donated_blood) # Your code goes here! return true end
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3.033333
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function metapop() # make metapopulation mp = ZTMetaPopulation{LanguageDynamics.MomentumSelector}(7, 2.5) # add speakers for i = 1:200 inject!(LanguageDynamics.MomentumSelector(0.01, 0.02, 1.0, 4, 0.1), mp) end # Travel + rendezvous while mp.nactions < 0.5*200*100#_000 travel!(mp) rendezvous!(mp) end end
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2.333333
144
using MAVs, NLOptControl, BenchmarkTools, JLD, FileIO, DataFrames #''' #This function creates the benchmark tests #''' function bench(;baseBench::Bool=false) if baseBench name="master.jld" else name="pr.jld" master=load("master.jld", "results") m1=median(master["psMethods"]) end # create a DataFrame fname = joinpath(dirname(@__FILE__), "data.jld") df = DataFrames.DataFrame() # Define a parent BenchmarkGroup to contain our suite const suite = BenchmarkGroup() # Add some child groups to our benchmark suite. suite["psMethods"] = BenchmarkGroup(["integrationScheme","Nck"]) for scheme in (:lgrExplicit,:lgrImplicit) for Nck in ([10,8,6],[12,10,8,6]) c=defineCase(;(:mode=>:autoBench)); setMisc!(c;integrationScheme=scheme,Nck=Nck,max_cpu_time=20.0) n=initializeAutonomousControl(c); suite["psMethods"][scheme,Nck] = @benchmarkable optimize!($n) samples=10 end end paramspath = joinpath(dirname(@__FILE__), "params.jld") if isfile(paramspath) loadparams!(suite, BenchmarkTools.load(paramspath, "suite"), :evals); else tune!(suite) BenchmarkTools.save(paramspath, "suite", params(suite)); end results=run(suite,verbose=true); # run all benchmarks BenchmarkTools.save(name, "results", results) # save results to JLD file m2=median(results["psMethods"]); # save the data file = jldopen(fname, "w") write(file, "df", df) close(file) if !baseBench return m2, judge(m2,m1) else return m2 end end paramspath = joinpath(Pkg.dir("MAVs/examples/Benchmarks/"), "params.jld") loadparams!(suite, BenchmarkTools.load(paramspath, "suite"), :evals); master=load("master.jld", "results") ########### file = joinpath(Pkg.dir("MAVs/examples/Benchmarks/"), "temp.jld") res=master; writeresults(file,res) #https://github.com/JuliaCI/PkgBenchmark.jl/blob/master/src/runbenchmark.jl function writeresults(file, res) save(File(format"JLD", file), "time", time(), "trials", res) end #https://github.com/JuliaCI/PkgBenchmark.jl/blob/master/src/runbenchmark.jl function readresults(file) JLD.jldopen(file,"r") do f read(f, "trials") end end #= if saveresults tosave = if promptsave print("File results of this run? (commit=$(sha[1:6]), resultsdir=$resultsdir) (Y/n) ") response = readline() |> strip response == "" || lowercase(response) == "y" else true end if tosave !isdir(resultsdir) && mkpath(resultsdir) resfile = joinpath(resultsdir, sha*".jld") writeresults(resfile, res) info("Results of the benchmark were written to $resfile") end =# #= m=median(run(suite,verbose=true,seconds=10)); save("m2.jld","m",params(m)); # compare tempDict=load("m1.jld") m_temp=get(tempDict,"m1",0) judge(m_temp,m) ##################OLD #''' # schemes=[:lgrExplicit,:lgrImplicit] # m1=benchMark(schemes[1]) # m2=benchMark(schemes[2]) # judge(m1,m2) #''' function benchMark(scheme) c=defineCase(;(:mode=>:autoBench)); setMisc!(c;integrationScheme=scheme) n=initializeAutonomousControl(c); b=@benchmark optimize!($n) samples=10 return median(b) end =#
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using DelayedKalmanFilter using Documenter makedocs(; modules=[DelayedKalmanFilter], authors="Joshua Burton", repo="https://github.com/burtonjosh/DelayedKalmanFilter.jl/blob/{commit}{path}#L{line}", sitename="DelayedKalmanFilter.jl", format=Documenter.HTML(; prettyurls=get(ENV, "CI", "false") == "true", canonical="https://burtonjosh.github.io/DelayedKalmanFilter.jl", assets=String[], ), pages=[ "Home" => "index.md", ], ) deploydocs(; repo="github.com/burtonjosh/DelayedKalmanFilter.jl", )
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# tests for the policy and coord tables types and related functions. # using Base.Test # push!(LOAD_PATH, ".") # include("includes.jl") function get_test_policy() q_table = zeros(4^7, 36) range = collect(1:4) q_grid = RectangleGrid(range, range, range, range, range, range, range) policy = PolicyTable(q_table, q_grid, 4^7) end function get_test_coordination_table() c_table = zeros(4^7) c_table[1] = 1 c_table[2] = -1 range = collect(1:4) c_grid = RectangleGrid(range, range, range, range, range, range, range) coordination_table = CoordinationTable(c_table, c_grid, 4^7) end # policy table tests function test_policy_table_constructor() get_test_policy() end function test_get_utilities() policy = get_test_policy() policy.q_table[1, 1] = 10 policy.q_table[2, 2] = 9 belief = spzeros(policy.num_states, 1) belief[1] = .5 belief[2] = .5 utilities = get_utilities(policy, belief) expected_utilities = zeros(size(policy.q_table, 2)) expected_utilities[1] = .5 * 10 expected_utilities[2] = .5 * 9 @test utilities == expected_utilities end function test_make_coordination_table() q_table = zeros(2, 36) q_table[1, 1] = 1 q_table[2, 36] = 2 q_table[2, 4] = 1 joint_actions = get_joint_actions(ACTIONS) c_table = make_coordination_table(q_table, joint_actions) @test c_table[1] == 1 end function test_get_sense_action_parameters() a1 = -10. a2 = +10. sense = get_action_sense(a1, a2) @test sense == :different_sense a1 = 0. sense = get_action_sense(a1, a2) @test sense == :neither_sense a1 = +10. sense = get_action_sense(a1, a2) @test sense == :same_sense end function test_get_sense_coord_table_parameters() c_table = get_test_coordination_table() belief = spzeros(c_table.num_states, 1) belief[1] = .6 belief[2] = .4 sense = get_coordination_sense(c_table, belief) @test sense == :same_sense belief[1] = .4 belief[2] = .6 sense = get_coordination_sense(c_table, belief) @test sense == :different_sense belief[1] = .3 belief[2] = .3 belief[3] = .4 sense = get_coordination_sense(c_table, belief) @test sense == :neither_sense end tic() # policy tests test_policy_table_constructor() test_get_utilities() # coord tests test_make_coordination_table() test_get_sense_action_parameters() test_get_sense_coord_table_parameters() toc()
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# v0.6.0 function printlyrics() const gifts = split(""" A partridge in a pear tree. Two turtle doves Three french hens Four calling birds Five golden rings Six geese a-laying Seven swans a-swimming Eight maids a-milking Nine ladies dancing Ten lords a-leaping Eleven pipers piping Twelve drummers drumming """, '\n') const days = split(""" first second third fourth fifth sixth seventh eighth ninth tenth eleventh twelfth""") for (n, day) in enumerate(days) g = gifts[n:-1:1] print("\nOn the $day day of Christmas\nMy true love gave to me:\n") if n == 1 print(join(g[1:end], '\n'), '\n') else print(join(g[1:end-1], '\n'), " and\n", g[end], '\n') end end end printlyrics()
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360
using DiffEqBase: remake, solve, ODEProblem, EnsembleProblem, EnsembleThreads #################################################################################################### # this function takes into accound a parameter passed to the vector field # Putting the options `save_start = false` seems to give bugs with Sundials function flowTimeSol(x, p, tm, pb::ODEProblem; alg = Euler(), kwargs...) _prob = remake(pb; u0 = x, tspan = (zero(eltype(tm)), tm), p = p) # the use of concrete_solve makes it compatible with Zygote sol = solve(_prob, alg; save_everystep = false, kwargs...) return (t = sol.t[end], u = sol[end]) end # this function is a bit different from the previous one as it is geared towards parallel computing of the flow. function flowTimeSol(x::AbstractMatrix, p, tm, epb::EnsembleProblem; alg = Euler(), kwargs...) # modify the function which asigns new initial conditions # see docs at https://docs.sciml.ai/dev/features/ensemble/#Performing-an-Ensemble-Simulation-1 _prob_func = (prob, ii, repeat) -> prob = remake(prob, u0 = x[:, ii], tspan = (zero(eltype(tm[ii])), tm[ii]), p = p) _epb = setproperties(epb, output_func = (sol, i) -> ((t = sol.t[end], u = sol[end]), false), prob_func = _prob_func) sol = solve(_epb, alg, EnsembleThreads(); trajectories = size(x, 2), save_everystep = false, kwargs...) # sol.u contains a vector of tuples (sol_i.t[end], sol_i[end]) return sol.u end flow(x, p, tm, pb::ODEProblem; alg = Euler(), kwargs...) = flowTimeSol(x, p, tm, pb; alg = alg, kwargs...).u flow(x, p, tm, pb::EnsembleProblem; alg = Euler(), kwargs...) = flowTimeSol(x, p, tm, pb; alg = alg, kwargs...) flow(x, tm, pb::Union{ODEProblem, EnsembleProblem}; alg = Euler(), kwargs...) = flow(x, nothing, tm, pb; alg = alg, kwargs...) #################################################################################################### # function used to compute the derivative of the flow, so pb encodes the variational equation function dflow(x::AbstractVector, p, dx, tm, pb::ODEProblem; alg = Euler(), kwargs...) n = length(x) _prob = remake(pb; u0 = vcat(x, dx), tspan = (zero(eltype(tm)), tm), p = p) # the use of concrete_solve makes it compatible with Zygote sol = solve(_prob, alg, save_everystep = false; kwargs...)[end] return (t = tm, u = sol[1:n], du = sol[n+1:end]) end # same for Parallel computing function dflow(x::AbstractMatrix, p, dx, tm, epb::EnsembleProblem; alg = Euler(), kwargs...) N = size(x,1) _prob_func = (prob, ii, repeat) -> prob = remake(prob, u0 = vcat(x[:, ii], dx[:, ii]), tspan = (zero(eltype(tm[ii])), tm[ii]), p = p) _epb = setproperties(epb, output_func = (sol,i) -> ((t = sol.t[end], u = sol[end][1:N], du = sol[end][N+1:end]), false), prob_func = _prob_func) sol = solve(_epb, alg, EnsembleThreads(); trajectories = size(x, 2), save_everystep = false, kwargs...) return sol.u end dflow(x, dx, tspan, pb::Union{ODEProblem, EnsembleProblem}; alg = Euler(), kwargs...) = dflow(x, nothing, dx, tspan, pb; alg = alg, kwargs...) #################################################################################################### # this function takes into accound a parameter passed to the vector field function dflow_fd(x, p, dx, tm, pb::ODEProblem; alg = Euler(), δ = 1e-9, kwargs...) sol1 = flow(x .+ δ .* dx, p, tm, pb; alg = alg, kwargs...) sol2 = flow(x , p, tm, pb; alg = alg, kwargs...) return (t = tm, u = sol2, du = (sol1 .- sol2) ./ δ) end function dflow_fd(x, p, dx, tm, pb::EnsembleProblem; alg = Euler(), δ = 1e-9, kwargs...) sol1 = flow(x .+ δ .* dx, p, tm, pb; alg = alg, kwargs...) sol2 = flow(x , p, tm, pb; alg = alg, kwargs...) return [(t = sol1[ii][1], u = sol2[ii][2], du = (sol1[ii][2] .- sol2[ii][2]) ./ δ) for ii = 1:size(x,2) ] end dflow_fd(x, dx, tm, pb::Union{ODEProblem, EnsembleProblem}; alg = Euler(), δ = 1e-9, kwargs...) = dflow_fd(x, nothing, dx, tm, pb; alg = alg, δ = δ, kwargs...) #################################################################################################### # this gives access to the full solution, convenient for Poincaré shooting # this function takes into accound a parameter passed to the vector field and returns the full solution from the ODE solver. This is useful in Poincare Shooting to extract the period. function flowFull(x, p, tm, pb::ODEProblem; alg = Euler(), kwargs...) _prob = remake(pb; u0 = x, tspan = (zero(tm), tm), p = p) sol = solve(_prob, alg; kwargs...) end function flowFull(x, p, tm, epb::EnsembleProblem; alg = Euler(), kwargs...) _prob_func = (prob, ii, repeat) -> prob = remake(prob, u0 = x[:, ii], tspan = (zero(eltype(tm[ii])), tm[ii]), p = p) _epb = setproperties(epb, prob_func = _prob_func) sol = solve(_epb, alg, EnsembleThreads(); trajectories = size(x, 2), kwargs...) end flowFull(x, tm, pb::Union{ODEProblem, EnsembleProblem}; alg = Euler(), kwargs...) = flowFull(x, nothing, tm, pb; alg = alg, kwargs...) #################################################################################################### # Structures related to computing ODE/PDE Flows """ $(TYPEDEF) $(TYPEDFIELDS) # Simplified constructor(s) We provide a simple constructor where you only pass the vector field `F`, the flow `ϕ` and its differential `dϕ`: fl = Flow(F, ϕ, dϕ) # Simplified constructors for DifferentialEquations.jl There are some simple constructors for which you only have to pass a `prob::ODEProblem` or `prob::EnsembleProblem` (for parallel computation) from `DifferentialEquations.jl` and an ODE time stepper like `Tsit5()`. Hence, you can do for example fl = Flow(F, prob, Tsit5(); kwargs...) where `kwargs` is passed to `DiffEqBase::solve`. If your vector field depends on parameters `p`, you can define a `Flow` using fl = Flow(F, p, prob, Tsit5(); kwargs...) Finally, you can pass two `ODEProblem` where the second one is used to compute the variational equation: fl = Flow(F, p, prob1::ODEProblem, alg1, prob2::ODEProblem, alg2; kwargs...) """ @with_kw struct Flow{TF, Tf, Tts, Tff, Td, Tse, Tprob, TprobMono, Tfs} "The vector field `(x, p) -> F(x, p)` associated to a Cauchy problem," F::TF = nothing "The flow (or semigroup) associated to the Cauchy problem `(x, p, t) -> flow(x, p, t)`. Only the last time point must be returned." flow::Tf = nothing "Flow which returns the tuple (t, u(t)). Optional, mainly used for plotting on the user side. Please use `nothing` as default." flowTimeSol::Tts = nothing "The flow (or semigroup) associated to the Cauchy problem `(x, p, t) -> flow(x, p, t)`. The whole solution on the time interval [0,t] must be returned. It is not strictly necessary to provide this, mainly used for plotting on the user side. Please use `nothing` as default." flowFull::Tff = nothing "The differential `dflow` of the flow w.r.t. `x`, `(x, p, dx, t) -> dflow(x, p, dx, t)`. One important thing is that we require `dflow(x, dx, t)` to return a Named Tuple: `(t = t, u = flow(x, p, t), du = dflow(x, p, dx, t))`, the last component being the value of the derivative of the flow." dflow::Td = nothing "Serial version of dflow. Used internally when using parallel multiple shooting. Please use `nothing` as default." dfSerial::Tse = nothing "[Internal] store the ODEProblem associated to the flow of the Cauchy problem" prob::Tprob = nothing "[Internal] store the ODEProblem associated to the flow of the variational problem" probMono::TprobMono = nothing "[Internal] Serial version of the flow" flowSerial::Tfs = nothing end # constructors Flow(F, fl, df = nothing) = Flow(F = F, flow = fl, dflow = df, dfSerial = df) # callable struct (fl::Flow)(x, p, t; k...) = fl.flow(x, p, t; k...) (fl::Flow)(x, p, dx, t; k...) = fl.dflow(x, p, dx, t; k...) (fl::Flow)(::Val{:Full}, x, p, t; k...) = fl.flowFull(x, p, t; k...) (fl::Flow)(::Val{:TimeSol}, x, p, t; k...) = fl.flowTimeSol(x, p, t; k...) (fl::Flow)(::Val{:SerialTimeSol}, x, p, t; k...) = fl.flowSerial(x, p, t; k...) (fl::Flow)(::Val{:SerialdFlow}, x, p, dx, t; k...) = fl.dfSerial(x, p, dx, t; k...) """ Creates a Flow variable based on a `prob::ODEProblem` and ODE solver `alg`. The vector field `F` has to be passed, this will be resolved in the future as it can be recovered from `prob`. Also, the derivative of the flow is estimated with finite differences. """ # this constructor takes into accound a parameter passed to the vector field function Flow(F, p, prob::Union{ODEProblem, EnsembleProblem}, alg; kwargs...) probserial = prob isa EnsembleProblem ? prob.prob : prob return Flow(F = F, flow = (x, p, t; kw2...) -> flow(x, p, t, prob; alg = alg, kwargs..., kw2...), flowTimeSol = (x, p, t; kw2...) -> flowTimeSol(x, p, t, prob; alg = alg, kwargs..., kw2...), flowFull = (x, p, t; kw2...) -> flowFull(x, p, t, prob; alg = alg, kwargs..., kw2...), dflow = (x, p, dx, t; kw2...) -> dflow_fd(x, p, dx, t, prob; alg = alg, kwargs..., kw2...), # serial version of dflow. Used for the computation of Floquet coefficients dfSerial = (x, p, dx, t; kw2...) -> dflow_fd(x, p, dx, t, probserial; alg = alg, kwargs..., kw2...), flowSerial = (x, p, t; kw2...) -> flowTimeSol(x, p, t, probserial; alg = alg, kwargs..., kw2...), prob = prob, probMono = nothing, ) end function Flow(F, p, prob1::Union{ODEProblem, EnsembleProblem}, alg1, prob2::Union{ODEProblem, EnsembleProblem}, alg2; kwargs...) probserial1 = prob1 isa EnsembleProblem ? prob1.prob : prob1 probserial2 = prob2 isa EnsembleProblem ? prob2.prob : prob2 return Flow(F = F, flow = (x, p, t; kw2...) -> flow(x, p, t, prob1, alg = alg1; kwargs..., kw2...), flowTimeSol = (x, p, t; kw2...) -> flowTimeSol(x, p, t, prob1; alg = alg1, kwargs..., kw2...), flowFull = (x, p, t; kw2...) -> flowFull(x, p, t, prob1, alg = alg1; kwargs..., kw2...), dflow = (x, p, dx, t; kw2...) -> dflow(x, p, dx, t, prob2; alg = alg2, kwargs..., kw2...), # serial version of dflow. Used for the computation of Floquet coefficients dfSerial = (x, p, dx, t; kw2...) -> dflow(x, p, dx, t, probserial2; alg = alg2, kwargs..., kw2...), flowSerial = (x, p, t; kw2...) -> flowTimeSol(x, p, t, probserial1; alg = alg1, kwargs..., kw2...), prob = prob1, probMono = prob2, ) end
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2.678478
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# This shows how to plot a 3D seismic tomography model # The paper that describes it is: # # Zhao, L., Paul, A., Malusà, M.G., Xu, X., Zheng, T., Solarino, S., Guillot, S., Schwartz, S., Dumont, T., Salimbeni, S., Aubert, C., Pondrelli, S., Wang, Q., Zhu, R., 2016. Continuity of the Alpine slab unraveled by high-resolution P wave tomography. Journal of Geophysical Research: Solid Earth 121, 8720–8737. doi:10.1002/2016JB013310 # # You will need to download the file `Zhao_etal_JGR_2016_Pwave_Alps_3D_k60.txt` from: # https://seafile.rlp.net/d/a50881f45aa34cdeb3c0/ # # And make sure that you are in the same directory as the data file using DelimitedFiles, GeophysicalModelGenerator # Load data: data=readdlm("Zhao_etal_JGR_2016_Pwave_Alps_3D_k60.txt",' ',Float64,'\n', skipstart=0,header=false) lon = data[:,1]; lat = data[:,2]; depth = data[:,3]; dVp_perc = data[:,4]; # Create 3D regular grid: resolution = (length(unique(lon)), length(unique(lat)), length(unique(depth))) Lon = reshape(lon, resolution); Lat = reshape(lat, resolution); Depth = reshape(depth, resolution); dVp_perc_3D = reshape(dVp_perc, resolution); # save paraview file Data_set = GeoData(Lon,Lat,Depth,(dVp_Percentage=dVp_perc_3D,)) Write_Paraview(Data_set, "Zhao_etal_2016_dVp_percentage") # extract cross-sections Data_cross = CrossSection(Data_set, Depth_level=-100km) Write_Paraview(Data_cross, "Zhao_CrossSection_100km") Data_cross = CrossSection(Data_set, Lon_level=10) Write_Paraview(Data_cross, "Zhao_CrossSection_Lon10") Data_cross = CrossSection(Data_set, Lon_level=10, Interpolate=true) Write_Paraview(Data_cross, "Zhao_CrossSection_Lon10_interpolated"); Data_cross = CrossSection(Data_set, Start=(1.0,39), End=(18,50)) Write_Paraview(Data_cross, "Zhao_CrossSection_diagonal") # Extract a 3D subset of the data Data_subset = ExtractSubvolume(Data_set,Lon_level=(5,12), Lat_level=(40,45)) Write_Paraview(Data_subset, "Zhao_Subset") Data_subset_interp = ExtractSubvolume(Data_set,Lon_level=(5,12), Lat_level=(40,45), Interpolate=true) Write_Paraview(Data_subset, "Zhao_Subset_interp")
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module SSLTestTiling using SimpleSDMLayers using Test # hcat / vcat l1 = SimpleSDMPredictor(WorldClim, BioClim, 1; left=0.0, right=10.0, bottom=0.0, top=10.0) l2 = SimpleSDMPredictor(WorldClim, BioClim, 1; left=0.0, right=10.0, bottom=10.0, top=20.0) l3 = SimpleSDMPredictor(WorldClim, BioClim, 1; left=10.0, right=20.0, bottom=0.0, top=10.0) l4 = SimpleSDMPredictor(WorldClim, BioClim, 1; left=10.0, right=20.0, bottom=10.0, top=20.0) l5 = SimpleSDMPredictor(WorldClim, BioClim, 1; left=0.0, right=20.0, bottom=0.0, top=20.0) ml1 = hcat(l1, l3) vl1 = vcat(l1, l2) ml2 = hcat(l2, l4) vl2 = vcat(l3, l4) vml = vcat(ml1, ml2) mvl = hcat(vl1, vl2) @test all(vml.grid == mvl.grid) for l in (vml, mvl) @test all(l.grid == l5.grid) @test size(l) == size(l5) @test stride(l) == stride(l5) @test longitudes(l) == longitudes(l5) @test latitudes(l) == latitudes(l5) @test l.left == l5.left @test l.right == l5.right @test l.bottom == l5.bottom @test l.top == l5.top end end
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"String for unit multiplier in option line" const unitstrings = Dict{ Float64, String }( 1e0 => "Hz", 1e3 => "kHz", 1e6 => "MHz", 1e9 => "GHz" ) "Default unit value to use in option line." const default_unit_value = 1e9 "Strings for parameter format symbols in option line." const parameterstrings = Dict{ Symbol, String }( :ScatteringParameters => "S", :AdmittanceParameters => "Y", :ImpedanceParameters => "Z", :HybridHParameters => "H", :HybridGParameters => "G", ) "Defaoult parameter format symbo to use in option line." const default_parameter_symbol = :ScatteringParameters "String for data format symbols in option line." const formatstrings = Dict{ Symbol, String }( :DecibelAngle => "dB", :MagnitudeAngle => "MA", :RealImaginary => "RI" ) "Default data format symbol to use in option line." const default_format_symbol = :MagnitudeAngle "Default characteristic iimpedance to use in option line." const default_resistance_string = "50" """ write_comment_line( comment ) Returns a comment line string for a comment. """ write_comment_line( comment ) = "!" * comment """ write_frequency_unit_option( [ value ] ) Returns an option line string for a valid frequency unit multiplier. """ write_frequency_unit_option( value = default_unit_value ) = unitstrings[ value ] """ write_parameter_option( [ symbol ] ) Returns an option line string for a valid parameter option symbol. """ write_parameter_option( symbol = default_parameter_symbol ) = parameterstrings[ symbol ] """ write_format_option( [ symbol ] ) Returns an option line string for a valid data format symbol. """ write_format_option( symbol = default_format_symbol ) = formatstrings[ symbol ] """ write_resistance_option( [ resistance ] ) Returns an option line string for the characteristic impedance. """ write_resistance_option( resistance = 50 ) = string( resistance ) """ write_option_line( [ options ] ) Returns the option line string for an option structure. """ function write_option_line( options::Options = Options() ) "# " * write_frequency_unit_option( options.unit ) * " " * write_parameter_option( options.parameter ) * " " * write_format_option( options.format ) * " " * "R " * write_resistance_option( options.resistance ) end """ compstring( z ) Returns a pair with the real and imaginary components of a complex number. """ compstring( z ) = string( real( z ) ) * " " * string( imag( z ) ) """ comp2ma( z ) Returns a pair with the linear magnitude and angle in degrees of a complex number. """ comp2ma( z ) = ( abs( z ), rad2deg( angle( z ) ) ) """ comp2da( z ) Returns a pair with the magnitude in dB and angle in degrees of a complex number. """ function comp2da( z ) m, a = comp2ma( z ) 20log10( m ), a end """ pairstring( pair ) Returns a string combining the components of a pair. """ pairstring( pair ) = string( pair[ 1 ] ) * " " * string( pair[ 2 ] ) """ mastring( z ) Returns a string in magnitude / angle format of a complex number. """ mastring( z ) = pairstring( comp2ma( z ) ) """ dastring( z ) Returns a string in dB / angle format of a complex number. """ dastring( z ) = pairstring( comp2da( z ) ) "Holds conversion functions for parameter format symbols when writing." const WriteConversions = Dict{ Symbol, Function }( :RealImaginary => compstring, :MagnitudeAngle => mastring, :DecibelAngle => dastring ) """ write_data( data, N [ options ] ) Returns a string for N-port Touchstone formated lines for a data point. """ function write_data( data::DataPoint, N::Integer, options::Options = Options() ) freqstring = string( data.frequency / options.unit ) if N == 2 paras = reshape( data.parameter, 1, 4 ) lines = 1 else paras = data.parameter lines = N end if options.parameter == :ImpedanceParameters paras = map( x -> x / options.resistance, paras ) end if options.parameter == :AdmittanceParameters paras = map( x -> x * options.resistance, paras ) end if N == 2 if options.parameter == :HybridGParameters paras[ 1 ] *= options.resistance paras[ 4 ] /= options.resistance end if options.parameter == :HybridHParameters paras[ 1 ] /= options.resistance paras[ 4 ] *= options.resistance end end strings = map( snn -> WriteConversions[ options.format ]( snn ), paras ) datastrings = ones( String, lines ) for row in 1:lines # V 1.0 not more than 4 pairs ( + freq ) in a line if N > 4 for col in 1:N if col > 0 && col % 4 == 0 strings[ row, col ] *= "\n" end end end datastrings[ row ] = replace( join( strings[ row, : ], " " ), "\n " => "\n" ) end datastrings[ 1 ] = freqstring * " " * datastrings[ 1 ] datastring = join( datastrings, "\n" ) if datastring[ end ] == "\n" return datastring else return datastring * "\n" end end function writeNoiseData( nd::NoiseDataPoint, options::Options = Options(), version = 1 ) freqstring = string( nd.frequency / options.unit ) noisefigstring = 20log10( nd.minNoiseFigure ) reflcoeffstring = mastring( nd.reflCoeff ) effnoiseresstring = version == 1 ? string( nd.effNoiseRes / options.resistance ) : string( nd.effNoiseRes ) res = "$freqstring $noisefigstring $reflcoeffstring $effnoiseresstring\n" return res end """ write_touchstone_stream( stream, ts ) Writes formated Touchstone data for a TouchstoneData structure to a stream. """ function write_touchstone_stream( stream::IO, ts::TouchstoneData ) for comment in ts.comments write( stream, write_comment_line( comment ) ) write( stream, "\n" ) end write( stream, write_option_line( ts.options ) ) write( stream, "\n" ) # # ports = -1 # if size( ts.data, 1 ) > 0 # ports = size( ts.data[ 1 ].parameter, 1 ) # end # for datapoint in ts.data write( stream, write_data( datapoint, ports( ts ), ts.options ) ) end for ndp in ts.noiseData write( stream, writeNoiseData( ndp, ts.options ) ) end end """ write_touchstone_string( ts ) Returns a string with formated Touchstone data for a TouchstoneData structure. """ function write_touchstone_string( ts::TouchstoneData ) buffer = IOBuffer() write_touchstone_stream( buffer, ts ) String( take!( copy( buffer ) ) ) end """ write_touchstone_file( filename, ts ) Writes formated Touchstone data for a TouchstoneData structure to a file. """ function write_touchstone_file( filename::String, ts::TouchstoneData ) open( filename, "w" ) do io write_touchstone_stream( io, ts ) end end
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2.926269
2,265
using Decimals using Compat.Test @testset "Decimal constructor" begin @test isa(d, Array{Decimal,1}) end
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2.634146
41
""" gcmarray{T, N} gcmarray data structure. Available constructors: ``` gcmarray{T,N}(grid::gcmgrid,f::Array{Array{T,2},N}, fSize::Array{NTuple{N, Int}},fIndex::Array{Int,1}) gcmarray(grid::gcmgrid,f::Array{Array{T,2},N}) where {T,N} gcmarray(grid::gcmgrid,f::Array{Array{T,N},1}) where {T,N} gcmarray(grid::gcmgrid,fSize::Array{NTuple{N, Int}},fIndex::Array{Int,1}) gcmarray(<same as above>,n3::Int) gcmarray(<same as above>,n3::Int,n4::Int) gcmarray(grid::gcmgrid) gcmarray(grid::gcmgrid,::Type{T}) gcmarray(grid::gcmgrid,::Type{T},n3::Int) gcmarray(grid::gcmgrid,::Type{T},n3::Int,n4::Int) ``` """ struct gcmarray{T, N} <: AbstractMeshArray{T, N} grid::gcmgrid f::Array{Array{T,2},N} fSize::Array{NTuple{2, Int}} fIndex::Array{Int,1} end function gcmarray(grid::gcmgrid,f::Array{Array{T,2},N}) where {T, N} gcmarray{T,N}(grid,f,grid.fSize,collect(1:grid.nFaces)) end function gcmarray(grid::gcmgrid,f::Array{Array{T,N},1}) where {T, N} nFaces=grid.nFaces if N>2 n3=size(f[1],3); n4=size(f[1],4); g=Array{Array{T,2},3}(undef,nFaces,n3,n4) for I in eachindex(view(g,1:nFaces,1:n3,1:n4)) g[I]=view(f[I[1]],:,:,I[2],I[3]) end n4==1 ? g=dropdims(g,dims=3) : nothing gcmarray{T,ndims(g)}(grid,g,grid.fSize,collect(1:nFaces)) else gcmarray{T,1}(grid,f,grid.fSize,collect(1:nFaces)) end end function gcmarray(grid::gcmgrid,::Type{T}, fSize::Union{Array{NTuple{2, Int},1},NTuple{2, Int}}, fIndex::Union{Array{Int,1},Int}) where {T} nFaces=length(fIndex) f=Array{Array{T,2},1}(undef,nFaces) isa(fSize,NTuple) ? fSize=[fSize] : nothing isa(fIndex,Int) ? fIndex=[fIndex] : nothing for a=1:nFaces f[a]=Array{T}(undef,fSize[a]) end gcmarray{T,1}(grid,f,fSize,fIndex) end function gcmarray(grid::gcmgrid,::Type{T}, fSize::Union{Array{NTuple{2, Int},1},NTuple{2, Int}}, fIndex::Union{Array{Int,1},Int},n3::Int) where {T} nFaces=length(fIndex) f=Array{Array{T,2},2}(undef,nFaces,n3) isa(fSize,NTuple) ? fSize=[fSize] : nothing isa(fIndex,Int) ? fIndex=[fIndex] : nothing for a=1:nFaces; for i3=1:n3; f[a,i3]=Array{T}(undef,fSize[a]...) end; end; gcmarray{T,2}(grid,f,fSize,fIndex) end function gcmarray(grid::gcmgrid,::Type{T}, fSize::Union{Array{NTuple{2, Int},1},NTuple{2, Int}}, fIndex::Union{Array{Int,1},Int},n3::Int,n4::Int) where {T} nFaces=length(fIndex) f=Array{Array{T,2},3}(undef,nFaces,n3,n4) isa(fSize,NTuple) ? fSize=[fSize] : nothing isa(fIndex,Int) ? fIndex=[fIndex] : nothing for a=1:nFaces; for i4=1:n4; for i3=1:n3; f[a,i3,i4]=Array{T}(undef,fSize[a]...) end; end; end; gcmarray{T,3}(grid,f,fSize,fIndex) end # + function gcmarray(grid::gcmgrid) nFaces=grid.nFaces fSize=grid.fSize fIndex=collect(1:grid.nFaces) T=grid.ioPrec gcmarray(grid,T,fSize,fIndex) end function gcmarray(grid::gcmgrid,::Type{T}) where {T} nFaces=grid.nFaces fSize=grid.fSize fIndex=collect(1:grid.nFaces) gcmarray(grid,T,fSize,fIndex) end function gcmarray(grid::gcmgrid,::Type{T},n3::Int) where {T} nFaces=grid.nFaces fSize=grid.fSize fIndex=collect(1:grid.nFaces) gcmarray(grid,T,fSize,fIndex,n3) end function gcmarray(grid::gcmgrid,::Type{T},n3::Int,n4::Int) where {T} nFaces=grid.nFaces fSize=grid.fSize fIndex=collect(1:grid.nFaces) gcmarray(grid,T,fSize,fIndex,n3,n4) end # - # # Interface Methods # + Base.size(A::gcmarray) = size(A.f) Base.size(A::gcmarray, dim::Integer) = size(A)[dim] # + function Base.getindex(A::gcmarray{T, N}, I::Vararg{Union{Int,Array{Int},AbstractUnitRange,Colon}, N}) where {T,N} J=1:length(A.fIndex) !isa(I[1],Colon) ? J=J[I[1]] : nothing nFaces=length(J) tmpf=A.f[I...] if isa(tmpf,Array{eltype(A),2}) tmp=tmpf else n3=Int(length(tmpf)/nFaces) K=(A.grid,eltype(A),A.fSize[J],A.fIndex[J]) n3>1 ? tmp=gcmarray(K...,n3) : tmp=gcmarray(K...) for I in eachindex(tmpf); tmp.f[I] = view(tmpf[I],:,:); end end return tmp end """ getindexetc(A::gcmarray, I::Vararg{_}) where {T,N} Same as getindex but also returns the face size and index """ function getindexetc(A::gcmarray{T, N}, I::Vararg{Union{Int,Array{Int},AbstractUnitRange,Colon}, N}) where {T,N} f=A[I...] fSize=A.fSize[I[1]] fIndex=A.fIndex[I[1]] return f,fSize,fIndex end # - function Base.setindex!(A::gcmarray{T, N}, v, I::Vararg{Int, N}) where {T,N} return (A.f[I...] = v) end function Base.view(A::gcmarray{T, N}, I::Vararg{Union{Int,AbstractUnitRange,Colon}, N}) where {T,N} J=1:length(A.fIndex) !isa(I[1],Colon) ? J=J[I[1]] : nothing nFaces=length(J) tmpf=view(A.f,I...) n3=Int(length(tmpf)/nFaces) #length(tmpf)>nFaces ? n3=Int(length(tmpf)/nFaces) : n3=1 K=(A.grid,eltype(A),A.fSize[J],A.fIndex[J]) n3>1 ? tmp=gcmarray(K...,n3) : tmp=gcmarray(K...) for I in eachindex(tmpf); tmp.f[I] = view(tmpf[I],:,:); end return tmp end # ### Custom pretty-printing, similar, and broadcast function Base.show(io::IO, z::gcmarray{T, N}) where {T,N} printstyled(io, " gcmarray \n",color=:normal) printstyled(io, " grid type = ",color=:normal) printstyled(io, "$(z.grid.class)\n",color=:blue) printstyled(io, " data type = ",color=:normal) printstyled(io, "$(eltype(z))\n",color=:blue) printstyled(io, " tile array = ",color=:normal) printstyled(io, "$(size(z))\n",color=:blue) printstyled(io, " tile sizes = ",color=:normal) printstyled(io, "$(size(z[1]))\n",color=:blue) for iFace=2:length(z.fIndex) printstyled(io, " ",color=:normal) printstyled(io, "$(size(z[iFace]))\n",color=:blue) end return end function Base.similar(A::gcmarray) if ndims(A)==1 B=gcmarray(A.grid,eltype(A),A.fSize,A.fIndex) else B=gcmarray(A.grid,eltype(A),A.fSize,A.fIndex,size(A,2)) end return B end # ### Customize broadcasting Base.BroadcastStyle(::Type{<:gcmarray}) = Broadcast.ArrayStyle{gcmarray}() function Base.similar(bc::Broadcast.Broadcasted{Broadcast.ArrayStyle{gcmarray}}, ::Type{ElType}) where ElType # Scan the inputs for the gcmarray: A = find_gcmarray(bc) # Create the gcmarray output: if ndims(A)==1 B=gcmarray(A.grid,ElType,A.fSize,A.fIndex) else B=gcmarray(A.grid,ElType,A.fSize,A.fIndex,size(A,2)) end return B end find_gcmarray(bc::Base.Broadcast.Broadcasted) = find_gcmarray(bc.args) find_gcmarray(args::Tuple) = find_gcmarray(find_gcmarray(args[1]), Base.tail(args)) find_gcmarray(x) = x find_gcmarray(a::gcmarray, rest) = a find_gcmarray(::Any, rest) = find_gcmarray(rest) #### import Base: copyto! # Specialize this method if all you want to do is specialize on typeof(dest) @inline function copyto!(dest::MeshArrays.gcmarray, bc::Broadcast.Broadcasted{Nothing}) axes(dest) == axes(bc) || throwdm(axes(dest), axes(bc)) # Performance optimization: broadcast!(identity, dest, A) is equivalent to copyto!(dest, A) if indices match if bc.f === identity && bc.args isa Tuple{AbstractArray} # only a single input argument to broadcast! A = bc.args[1] if axes(dest) == axes(A) return copyto!(dest, A) end end bc′ = Broadcast.preprocess(dest, bc) @simd for I in eachindex(bc′) #@inbounds dest[I] = bc′[I] @inbounds dest[I] = gcmarray_getindex_evalf(bc′,I) end return dest end function gcmarray_getindex_evalf(bc,I) @boundscheck checkbounds(bc, I) args = Broadcast._getindex(bc.args, I) return bc.f.(args...) end ### """ nFacesEtc(a::gcmarray) Return nFaces, n3 (1 in 2D case; >1 otherwise) """ function nFacesEtc(a::gcmarray) nFaces=length(a.fIndex) ndims(a.f)>1 ? n3=size(a.f,2) : n3=1 ndims(a.f)>2 ? n4=size(a.f,3) : n4=1 return nFaces, n3, n4 end
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module Variance using ValidatedNumerics; using Distributions; using Dierckx; abstract BaseEstimator function estimate(values, method::BaseEstimator) error("Unsupported method $method") end immutable byConfidenceProbability <: BaseEstimator confidence_probability :: Real end function estimate(values, method :: byConfidenceProbability) average = mean(values) count = length(values) gamma_down, gamma_up = getGammas(method.confidence_probability) quantile_down = getChiSquareQuantile(gamma_down, count) quantile_up = getChiSquareQuantile(gamma_up, count) reduced = mapreduce((x) -> (x - average)^2, +, values) @interval(reduced/quantile_down, reduced/quantile_up) end immutable byMeanAbsoluteDeviation <: BaseEstimator confidence_probability :: Real end function estimate(values, method :: byMeanAbsoluteDeviation) average = mean(values) count = length(values) quantile_down, quantile_up = getMeanAbsDeviationQuantiles(method.confidence_probability, count) mean_abs_deviation = mapreduce((x) -> abs(x - average), +, values)/count @interval(mean_abs_deviation/quantile_down, mean_abs_deviation/quantile_up)^2 end immutable byPointVariance <: BaseEstimator confidence_probability :: Real variance :: Real end function estimate(values, method::byPointVariance) count = length(values) gamma_down, gamma_up = getGammas(method.confidence_probability) quantile_down = getChiSquareQuantile(gamma_down, count) quantile_up = getChiSquareQuantile(gamma_up, count) fixed_variance = method.variance * (1 + 0.254 / (count - 1))^2 term = (count - 1) * fixed_variance @interval(term / quantile_down, term / quantile_up) end function getGammas(confidence_probability) (1 + confidence_probability) * 0.5, (1 - confidence_probability) * 0.5 end function getChiSquareQuantile(value, count) d = Chisq(count - 1) quantile(d, value) end function getMeanAbsDeviationQuantiles(confidence_probability, count) if confidence_probability == 0.90 const knots = [ 2 1.386 0.044; 3 1.276 0.166; 4 1.224 0.254; 5 1.187 0.305; 6 1.158 0.360; 7 1.135 0.394; 8 1.116 0.422; 9 1.100 0.445; 10 1.086 0.464; ] elseif confidence_probability == 0.95 const knots = [ 2 1.585 0.022; 3 1.417 0.116; 4 1.344 0.199; 5 1.292 0.260; 6 1.253 0.306; 7 1.222 0.342; 8 1.196 0.372; 9 1.175 0.396; 10 1.156 0.417; ] elseif confidence_probability == 0.99 const knots = [ 2 1.985 0.004; 3 1.703 0.073; 4 1.590 0.145; 5 1.507 0.203; 6 1.445 0.250; 7 1.397 0.287; 8 1.358 0.318; 9 1.326 0.344; 10 1.299 0.366; ] else error("Value=$confidence_probability is not allowed") end x_knots = knots[:, 1] if count > last(x_knots) error("Error $count too high") end y_down_knots = knots[:, 2] down_itp = Spline1D(x_knots, y_down_knots, k=1, bc="extrapolate") y_up_knots = knots[:, 3] up_itp = Spline1D(x_knots, y_up_knots, k=1, bc="extrapolate") evaluate(down_itp, count), evaluate(up_itp, count) end end
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