last pattern wip
Ruben-FreddyLoafers
parent
e146386895
commit
9ead776049
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@ -57,7 +57,7 @@ function step_fhn!(U, V, params_obs::Observable; dx=1)
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# Define one integration step using your fhn! function
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prob = ODEProblem((du, u, p, t) -> fhn!(du, u, p, t), u_init, (0.0, 0.1), p)
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sol = solve(prob, Tsit5(); dt=0.1, save_start=false, saveat=10.0)
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sol = solve(prob, BS3(); save_start=false, saveat=10.0)
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# Extract solution and reshape
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u_new = reshape(sol[end][1:p.N^2], p.N, p.N)
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@ -67,6 +67,17 @@ function step_fhn!(U, V, params_obs::Observable; dx=1)
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U .= u_new
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V .= v_new
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# Apply periodic boundary conditions
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U[1, :] .= U[end-1, :]
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U[end, :] .= U[2, :]
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U[:, 1] .= U[:, end-1]
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U[:, end] .= U[:, 2]
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V[1, :] .= V[end-1, :]
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V[end, :] .= V[2, :]
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V[:, 1] .= V[:, end-1]
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V[:, end] .= V[:, 2]
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return U
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end
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@ -11,6 +11,6 @@ function laplacian(U::AbstractMatrix{<:Real}, dx::Real)
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return (up .+ down .+ left .+ right .- 4 .* center) ./ h2
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end
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export laplacian, laplacian5
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export laplacian
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end # module Laplacian
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@ -1,7 +1,8 @@
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# helper functions for filling cells in specific places of the matrix
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# Not all functions are used. Those are for experimenting and debugging purposes
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module Templates
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# helper functions for filling cells in specific places of the matrix
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function blocks_ic(N)
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u = fill(1.0, N, N)
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v = fill(0.0, N, N)
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@ -9,9 +10,9 @@ function blocks_ic(N)
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function safe_block!(u, row_center, col_center)
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row_start = max(row_center - 8, 1)
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row_end = min(row_center + 7, N)
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row_end = min(row_center + 7, N)
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col_start = max(col_center - 8, 1)
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col_end = min(col_center + 7, N)
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col_end = min(col_center + 7, N)
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u[row_start:row_end, col_start:col_end] .= -0.01
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end
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@ -35,6 +36,17 @@ function column_ic(N)
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return u, v
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end
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function stripe_ic(N)
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u = zeros(N, N)
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v = zeros(N, N)
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for i in 1:N
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for j in 1:N
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u[i, j] = 0.1 + 0.05 * sin(2π * j / 10) + 0.01 * randn()
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end
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end
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return u, v
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end
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function two_rows_edge_distance_ic(N)
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row_width = 8
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distance_from_edge = 50
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@ -126,7 +138,7 @@ function three_circles_random_ic(N)
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end
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end
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return vec(u), vec(v)
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return u, v
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end
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function squiggle_ic(N, Lx=400.0, Ly=400.0)
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@ -151,7 +163,7 @@ function squiggle_ic(N, Lx=400.0, Ly=400.0)
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v = fill(vplus, N, N)
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# Apply squiggle
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u[Z .> 0.8] .= uminus
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u[Z.>0.8] .= uminus
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return vec(u), vec(v)
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end
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@ -160,7 +172,7 @@ function coral_ic(N)
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u = fill(0.534522, N, N)
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v = fill(0.381802, N, N)
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for _ in 1:40 # place 15 noisy seeds
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for _ in 1:20 # place 15 noisy seeds
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i, j = rand(10:N-10), rand(10:N-10)
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u[i-2:i+2, j-2:j+2] .= -0.534522 .+ 0.2 * rand(5, 5)
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end
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@ -168,6 +180,6 @@ function coral_ic(N)
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return u, v
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end
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export blocks_ic, column_ic, squiggle_ic, three_circles_random_ic, circle_ic, center_band_ic, two_rows_edge_distance_ic
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export blocks_ic, column_ic, squiggle_ic, three_circles_random_ic, circle_ic, center_band_ic, two_rows_edge_distance_ic, coral_ic
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end
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@ -43,6 +43,7 @@ function reset!(U, V, heat_obs)
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radius = 10
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U[center-radius:center+radius, center-radius:center+radius] .= 0.50
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V[center-radius:center+radius, center-radius:center+radius] .= 0.25
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heat_obs[] = copy(U)
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end
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@ -101,8 +102,9 @@ function build_ui(U, V, param_obs_map::NamedTuple, params_obs, heat_obs)
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gh[1, 2] = templategrid = GridLayout(ax.scene, tellwidth=false)
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templategrid[1, 1] = Label(fig, "Templates:")
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btn_zebra = Button(templategrid[1, 2], width=100, label="Zebra Stripes")
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btn_cheetah = Button(templategrid[1, 3], width=100, label="Cheetah Spots")
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btn_coral = Button(templategrid[1, 4], width=100, label="Coral Pattern")
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btn_cow = Button(templategrid[1, 3], width=100, label="Cow Spots")
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btn_cheetah = Button(templategrid[1, 4], width=100, label="Cheetah Spots")
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#btn_coral = Button(templategrid[1, 4], width=100, label="Coral Pattern")
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# place all the parameter boxes
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gh[2, 2] = textboxgrid = GridLayout(ax.scene, tellwidth=false)
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@ -130,7 +132,7 @@ function build_ui(U, V, param_obs_map::NamedTuple, params_obs, heat_obs)
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colsize!(textboxgrid, c, Relative(0.1))
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end
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# Events ##############################################################
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# ======== Events ========
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# Timer and state for animation
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running = Observable(false)
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@ -163,6 +165,7 @@ function build_ui(U, V, param_obs_map::NamedTuple, params_obs, heat_obs)
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on(btn_reset.clicks) do _
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running[] = false
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hm.colormap[] = :viridis
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reset!(U, V, heat_obs)
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end
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@ -172,24 +175,40 @@ function build_ui(U, V, param_obs_map::NamedTuple, params_obs, heat_obs)
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# add column to center of matrix
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U, V = Templates.column_ic(params_obs[].N)
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hm.colormap[] = :berlin
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hm.colormap[] = :grayC
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# change params
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param_obs_map.Du[] = 0.016
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param_obs_map.Dv[] = 0.1
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param_obs_map.ϵ[] = 0.1
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param_obs_map.a[] = 0.5
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param_obs_map.b[] = 0.9
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param_obs_map.Du[] = 1.0
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param_obs_map.Dv[] = 2.0
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param_obs_map.ϵ[] = 0.3
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param_obs_map.a[] = 0.0
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param_obs_map.b[] = 1.4
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heat_obs[] = copy(U)
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end
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# Template Control
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on(btn_cow.clicks) do _
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# fill matrix with random noise
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U = 0.05 .* (2 .* rand(params_obs[].N, params_obs[].N) .- 1) # noise in [-0.05, 0.05]
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V = 0.05 .* (2 .* rand(params_obs[].N, params_obs[].N) .- 1)
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hm.colormap[] = :grayC
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# change params
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param_obs_map.Du[] = 1.0
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param_obs_map.Dv[] = 10.0
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param_obs_map.ϵ[] = 0.01
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param_obs_map.a[] = -0.1
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param_obs_map.b[] = 1.2
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heat_obs[] = copy(U)
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end
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on(btn_cheetah.clicks) do _
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# fill matrix with random noise
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U = 0.05 .* (2 .* rand(params_obs[].N, params_obs[].N) .- 1) # noise in [-0.05, 0.05]
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V = 0.05 .* (2 .* rand(params_obs[].N, params_obs[].N) .- 1)
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hm.colormap[] = :magma
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hm.colormap[] = cgrad(:lajolla, rev = true)
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# change params
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param_obs_map.Du[] = 0.182
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@ -200,21 +219,6 @@ function build_ui(U, V, param_obs_map::NamedTuple, params_obs, heat_obs)
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heat_obs[] = copy(U)
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end
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# Template Control
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on(btn_coral.clicks) do _
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U, V = Templates.coral_ic(params_obs[].N)
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hm.colormap[] = :plasma
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# change params
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param_obs_map.Du[] = 0.001
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param_obs_map.Dv[] = 0.06
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param_obs_map.ϵ[] = 0.05
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param_obs_map.a[] = 0.0
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param_obs_map.b[] = 1.2
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heat_obs[] = copy(U)
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end
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on(spoint) do pt
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r = 5
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if pt === nothing
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