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import gradio as gr
import numpy as np
import plotly.graph_objects as go
import numba
# N sequences, each with n coinflips.
# for each sequence, determine the length of the longest constant 0 interval.
def histogram_vectorized(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)
@numba.njit
def length_of_longest(seq):
longest = 0
current = 1
for j in range(1, len(seq)):
if seq[j - 1] == seq[j]:
current += 1
else:
if current > longest:
longest = current
current = 1
if current > longest:
longest = current
return longest
# N sequences, each with n coinflips.
# for each sequence, determine the length of the longest constant 0 interval.
@numba.njit
def histogram(N, n):
data = np.random.binomial(size=(N, n), n=1, p=0.5)
ks = np.empty(N)
for i in range(N):
ks[i] = length_of_longest(data[i])
return ks
def visualize(x):
if len(x) > 0:
x_range = int(np.max(x) - np.min(x) + 1)
else:
x_range = 1
fig = go.Figure(data=[go.Histogram(x=x, marker=dict(color='#7A88CC'), nbinsx=x_range)])
fig.update_layout(title='Longest row of same flips', 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)
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