1 files changed, 0 insertions, 272 deletions
diff --git a/t/old/disp.jl b/t/old/disp.jl
deleted file mode 100644
index 18e0a1b..0000000
--- a/t/old/disp.jl
+++ /dev/null
@@ -1,272 +0,0 @@
-M = 10
-m = 1 # mass of particles
-
-function calculate_force(
-	left_pos,
-	middle_pos,
-	right_pos,
-	K,
-	alpha = 0.0,
-	beta = 1000.0,
-)
-	linear_force = K * (left_pos + right_pos - 2 * middle_pos)
-	quadratic_force = alpha * (left_pos - middle_pos)^2 + alpha * (right_pos - middle_pos)^2
-	cubic_force = beta * (left_pos - middle_pos)^3 + beta * (right_pos - middle_pos)^3
-
-	return linear_force + quadratic_force + cubic_force
-end
-
-function tendency!(du, u, p, t)
-	# unpack the params
-	N, K, m = p
-
-	# get the positions and momenta
-	qs = u[1:2:end]
-	ps = u[2:2:end]
-
-	# go over the points in the lattice and update the state
-	for i in 1:N-1
-		mass = m
-		if i == Int(N / 2)
-			mass = M
-		end
-
-		left_index = max(1, i - 1)
-		right_index = min(N, i + 1)
-
-		du[i*2-1] = ps[i] / mass
-		force = calculate_force(qs[left_index], qs[i], qs[right_index], K)
-		du[i*2] = force / mass
-	end
-
-	# make last point same as first
-	du[N*2-1] = du[1] = 0 # set to 0
-	du[N*2] = du[2] = 0
-
-
-	if t % 100000 == 0
-		println("TIME UPDATE: ", t)
-	end
-
-	# if ps[Int(N / 2)] / M >= 1
-	# 	println("(in sim!) Time: ", t, " Vel: ", ps[Int(N / 2)] / M)
-	# 	# println("Other Positions: ", qs)
-	# 	println("Other Velocities: ", ps, "\n")
-	# end
-end
-
-function get_initial_state(
-	N,
-	initial_displacement = 2,
-	initial_velocity = 0,
-)
-	state = zeros(2 * N)
-
-	middle_index = 2 * Int(N / 2) - 1 # middle mass
-	state[middle_index] = initial_displacement
-	state[middle_index+1] = initial_velocity * M
-	return state
-end
-
-using DifferentialEquations
-function run_simulation(
-	N,
-	K,
-	m,
-	final_time,
-	initial_displacement = 2,
-	initial_velocity = 0,
-)
-	println("Running simulation with N = $N, K = $K, m = $m, final_time = $final_time, initial_displacement = $initial_displacement, initial_velocity = $initial_velocity\n")
-	s_0 = get_initial_state(N, initial_displacement, initial_velocity)
-
-	calculate_energy(s_0)
-
-	# pack the params
-	p = N, K, m
-	t_span = (0.0, final_time)
-	prob = ODEProblem(tendency!, s_0, t_span, p)
-	sol = solve(prob, Tsit5(), reltol = 1e-5, abstol = 1e-5, maxiters = 1e10) # control simulation
-
-	calculate_energy(sol.u[end])
-
-	println("Done Running Sim!\n\n")
-	return sol
-end
-
-using Plots
-function animate_positions(
-	states,
-	time_steps,
-	time_min = 0,
-	time_max = 30,
-	red_threshold = 2,
-	shift = true,
-)
-	println("Animating positions")
-	anim = @animate for i in 1:length(time_steps)
-		t = time_steps[i]
-		if t < time_min
-			continue
-		end
-		if t > time_max
-			break
-		end
-		positions = states[i][1:2:end]
-		v_middle = states[i][Int(length(states[1]) / 2)] / M
-		p_middle = states[i][Int(length(states[1]) / 2)-1]
-		y_lims = shift ? (-3 + p_middle, 3 + p_middle) : (-3, 3)
-		# plot(positions, label = "t = $(round(t, digits = 3)), v_middle=$(round(v_middle, digits=3))", marker = :circle, xlabel = "Mass Number", ylabel = "Displacement", ylim = (-3, 3))
-		if v_middle >= red_threshold
-			plot(positions, label = "t = $(round(t, digits = 7)), v_middle=$(round(v_middle, digits=7))", marker = :circle, xlabel = "Mass Number", ylabel = "Displacement", ylim = y_lims,
-				color = :red, legend = :topright,
-			)
-		else
-			plot(positions, label = "t = $(round(t, digits = 7)), v_middle=$(round(v_middle, digits=7))", marker = :circle, xlabel = "Mass Number", ylabel = "Displacement", ylim = y_lims,
-				color = :blue, legend = :topright,
-			)
-		end
-	end
-	mp4(anim, "t/animate-positions.mp4", fps = 30)
-	println("Done animating positions")
-end
-
-function plot_starting_and_final_positions(
-	states,
-	time_steps,
-)
-	# plot the positions
-	middle_index = Int(length(states[1]) / 2) - 1
-	pos_init = [x - states[1][middle_index] for x in states[1][1:2:end]]
-	pos_final = [x - states[end][middle_index] for x in states[end][1:2:end]]
-	p1 = plot(pos_init, label = "Initial", marker = :circle, xlabel = "Mass Number", ylabel = "Displacement", title = "Positions Over Time")
-	plot!(p1, pos_final, label = "Final", marker = :circle)
-
-	# plot the vels
-	vels_init = [x / M for x in states[1][2:2:end]]
-	vels_final = [x / M for x in states[end][2:2:end]]
-	p2 = plot(states[1][2:2:end], label = "Initial", marker = :circle, xlabel = "Mass Number", ylabel = "Velocity", title = "Velocities Over Time")
-	plot!(p2, states[end][2:2:end], label = "Final t = $(time_steps[end])", marker = :circle)
-
-	# save the plots
-	savefig(p1, "t/initial-final-positions.png")
-	savefig(p2, "t/initial-final-velocities.png")
-end
-
-function analyize_vels(
-	states,
-	time_steps,
-	threshold = 1.975,
-)
-	println("Analyzing velocities:\n")
-	output = []
-	for i in 1:length(states)
-		v = states[i][Int(length(states[i]) / 2)] / M
-		if v >= threshold - 10e-6
-			push!(output, i)
-			println("Time: ", time_steps[i], " Vel: ", v)
-		end
-	end
-
-	data = []
-	for i in 1:length(states)
-		push!(data, states[i][Int(length(states[i]) / 2)])
-	end
-	p = plot(data, label = "Velocity Over Time", xlabel = "Time", ylabel = "Velocity")
-	savefig(p, "t/velocity-over-time.png")
-
-	println("\nDone!\n\n")
-	return output
-end
-
-function analyize_pos(
-	states,
-	time_steps,
-	threshold = 1.975,
-)
-	println("Analyzing positions:\n")
-	output = []
-	for i in 1:length(states)
-		if states[i][Int(length(states[i]) / 2)-1] >= threshold
-			push!(output, i)
-			println("Time: ", time_steps[i], " Position: ", states[i][Int(length(states[i]) / 2)])
-		end
-	end
-
-	# plot the first 10 seconds of Velocity
-	data = []
-	for i in 1:length(states)
-		if time_steps[i] > 10
-			break
-		end
-		push!(data, states[i][Int(length(states[i]) / 2)] - 1)
-	end
-	p = plot(data, label = "Position Over Time", xlabel = "Time", ylabel = "Position")
-	savefig(p, "t/pos-over-time.png")
-
-	println("\nDone!\n\n")
-	return output
-end
-
-function calculate_energy(state)
-	# calculate the kinetic energy
-	kinetic_energy = 0
-	vels = state[2:2:end]
-	for i in 1:N
-		mass = i == Int(N / 2) - 1 ? M : m
-		# calculate the kinetic energy
-		kinetic_energy += 0.5 * vels[i] * vels[i] / mass
-	end
-
-	# calcaute the potential energy
-	potential_energy = 0
-	pos = state[1:2:end]
-	for i in 1:N-1
-		left_index = max(1, i - 1)
-		right_index = min(N, i + 1)
-		potential_energy += 0.5 * K * (pos[left_index] - pos[i])^2
-		potential_energy += 0.5 * K * (pos[right_index] - pos[i])^2
-	end
-
-	# print the energy
-	println("Kinetic Energy: ", kinetic_energy)
-	println("Potential Energy: ", potential_energy)
-	println("Total Energy: ", kinetic_energy + potential_energy, "\n")
-end
-
-function plot_middle_mass_phase_space(states)
-	# get the index of the middle mass
-	middle_index = Int(length(states[1]) / 2) - 1
-	# build an array of the pos and vel over time
-	pos = []
-	vel = []
-	for i in 1:length(states)
-		push!(pos, states[i][middle_index])
-		push!(vel, states[i][middle_index+1])
-	end
-
-	# plot the phase space
-	p = plot(pos, vel, xlabel = "Position", ylabel = "Momentum", title = "Phase Space of Middle Mass in FPU", label = "Beta = 10, K = 1, N = 64, M = $M")
-
-	# save the plot
-	savefig(p, "t/phase-space.png")
-end
-
-
-# Run the simulation
-N = 64 # number of masses
-K = 1 # spring constant
-final_time = 1000 # seconds
-plot_data = []
-
-my_vel = 100
-
-sol = run_simulation(N, K, m, final_time, 0, my_vel)
-
-println("final time: ", sol.t[end])
-# s = sol.u[1:2:end]
-# analyize_vels(sol.u, sol.t, my_vel)
-# analyize_pos(sol.u, sol.t, 1.4)
-plot_starting_and_final_positions(sol.u, sol.t)
-# animate_positions(sol.u, sol.t, 0, 100, my_vel) # expect 80913.35854226245 for k=10?? rip
-plot_middle_mass_phase_space(sol.u)