initial commit

app.py

@@ -0,0 +1,44 @@
+import gradio as gr
+import numpy as np
+import plotly.graph_objects as go
+
+
+# N sequences, each with n coinflips.
+# for each sequence, determine the length of the longest constant 0 interval.
+def histogram(N, n):
+    data = np.random.binomial(size=(N, n + 2), n=1, p=0.5)
+    # putting 1s at both ends as barriers:
+    data[:, 0] = 1
+    data[:, -1] = 1
+
+    ks = []
+    for i in range(N):
+        seq = data[i]
+        ones = np.nonzero(seq)[0]
+        jumps = np.diff(ones)
+        k = np.max(jumps) - 1
+        ks.append(k)
+    return np.array(ks)
+
+
+def visualize(x):
+    x_range = int(np.max(x) - np.min(x) + 1)
+    fig = go.Figure(data=[go.Histogram(x=x, marker=dict(color='#7A88CC'), nbinsx=x_range)])
+    fig.update_layout(title='length of longest row of heads', xaxis_title='length k', yaxis_title='count')
+    return fig
+
+
+def update(N, n):
+    return visualize(histogram(N, n))
+
+
+demo = gr.Interface(update,
+    inputs = [
+        gr.Slider(0, 10000, value=1000, label="N, the number of simulations"),
+        gr.Slider(0, 1000, value=50, label="n, the number of coin flips in a simulation"),
+    ],
+    outputs = ["plot"],
+    live=True)
+
+
+demo.launch(show_api=False)