From c048f9f2219897ff3cc20a50d459911db3496a0a Mon Sep 17 00:00:00 2001
From: sotech117 <michael_foiani@brown.edu>
Date: Thu, 2 May 2024 19:29:49 -0400
Subject: major update, with final project rough draft code

---
 hw5/plz.jl | 124 ++++++++++++++++++++++++++++++-------------------------------
 1 file changed, 62 insertions(+), 62 deletions(-)

(limited to 'hw5')

diff --git a/hw5/plz.jl b/hw5/plz.jl
index d4abcbd..7e50e4f 100644
--- a/hw5/plz.jl
+++ b/hw5/plz.jl
@@ -1,73 +1,73 @@
 function dynamics!(
-    state,
-    prev_state,
-    params,
-    states
+	state,
+	prev_state,
+	params,
+	states,
 )
-    # Unpack the parameters
-    N, modes, beta, A, dt, num_steps = params
-
-    for i in 1:num_steps
-        next_state = zeros(N)
-
-        # update the left particle (set to rest)
-        state[1] = 0
-
-        # update the right particle (set to rest)
-        state[N] = 0
-
-        # update the middle particles
-        for i in 2:N-1
-            a = 2 * state[i] - prev_state[i]
-            b = dt * dt * (state[i + 1] - 2 * state[i] + state[i - 1])
-            c = dt * dt * beta * ((state[i + 1] - state[i])^3 + (state[i - 1] - state[i])^3)
-            next_state[i] = a + b + c
-        end
-
-        push!(states, next_state)
-
-        # update the previous state
-        for i in 1:N
-            prev_state[i] = state[i]
-        end
-        # update the current state
-        for i in 1:N
-            state[i] = next_state[i]
-        end
-    end
+	# Unpack the parameters
+	N, modes, beta, A, dt, num_steps = params
+
+	for i in 1:num_steps
+		next_state = zeros(N)
+
+		# update the left particle (set to rest)
+		state[1] = 0
+
+		# update the right particle (set to rest)
+		state[N] = 0
+
+		# update the middle particles
+		for i in 2:N-1
+			a = 2 * state[i] - prev_state[i]
+			b = dt * dt * (state[i+1] - 2 * state[i] + state[i-1])
+			c = dt * dt * beta * ((state[i+1] - state[i])^3 + (state[i-1] - state[i])^3)
+			next_state[i] = a + b + c
+		end
+
+		push!(states, next_state)
+
+		# update the previous state
+		for i in 1:N
+			prev_state[i] = state[i]
+		end
+		# update the current state
+		for i in 1:N
+			state[i] = next_state[i]
+		end
+	end
 end
 
 function get_initial_state(
-    N,
-    modes,
-    beta,
-    A
+	N,
+	modes,
+	beta,
+	A,
 )
-    state = zeros(N)
-    amp = A * sqrt(2 / (N - 1))
-    for i in 2:N-1
-        state[i] = amp * sin((modes * π * (i - 1)) / (N - 1))
-    end
-    return state
+	state = zeros(N)
+	amp = A * sqrt(2 / (N - 1))
+	for i in 2:N-1
+		state[i] = amp * sin((modes * π * (i - 1)) / (N - 1))
+	end
+	return state
 end
 
 function run_simulation(
-    N,
-    modes,
-    beta,
-    A,
-    dt,
-    num_steps
+	N,
+	modes,
+	beta,
+	A,
+	dt,
+	num_steps,
 )
-    states = []
-    state = get_initial_state(N, 1, beta, A)
-    prev_state = zeros(N)
-    for i in 1:N
-        prev_state[i] = state[i]
-    end
-    params = (N, modes, beta, A, dt, num_steps)
-    dynamics!(state, prev_state, params, states)
-    return states
+	states = []
+	state = get_initial_state(N, 1, beta, A)
+	prev_state = zeros(N)
+	for i in 1:N
+		prev_state[i] = state[i]
+	end
+	params = (N, modes, beta, A, dt, num_steps)
+	dynamics!(state, prev_state, params, states)
+	return states
 end
 
 # Run the simulation
@@ -76,7 +76,7 @@ beta = 1.5 # cubic string spring
 A = 10 # amplitude
 modes = 3 # number of modes to plot
 final_time = 50 # seconds
-dt = .5 # seconds
+dt = 0.5 # seconds
 num_steps = Int(final_time / dt)
 params = (N, modes, beta, A, dt, num_steps)
 s = run_simulation(N, modes, beta, A, dt, num_steps)
@@ -89,7 +89,7 @@ using Plots
 
 # animate the s array of positions
 anim = @animate for i in 1:length(s)
-    plot(s[i], label="t = $(i * dt)", marker=:circle, xlabel="Mass Number", ylabel="Displacement", ylim=(-3, 3))
+	plot(s[i], label = "t = $(i * dt)", marker = :circle, xlabel = "Mass Number", ylabel = "Displacement", ylim = (-3, 3))
 end
 gif(anim, "plz.gif", fps = 30)
 
-- 
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