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from collections import defaultdict
import streamlit as st
import streamlit.components.v1 as components
import plotly.graph_objects as go
import plotly.express as px
import numpy as np
st.set_page_config(page_title='Can you be truly random ?', layout = 'wide', page_icon = 'favicon.jpg', initial_sidebar_state = 'auto')
# Custom CSS to styles
st.markdown("""
<style>
button {
padding-top: 50px !important;
padding-bottom: 50px !important;
}
</style>
""", unsafe_allow_html=True)
max_history = 10
def set_state(x):
if x == 1: st.toast('The journey begins!', icon='😍')
st.session_state.stage = x
def reset_game():
set_state(0)
if 'n_buttons' not in st.session_state:
st.session_state.n_buttons = 2
st.session_state.history = []
st.session_state.preds = defaultdict(lambda: defaultdict(int))
st.session_state.pnl = [0]
st.session_state.min = [0]
st.session_state.max = [0]
if 'stage' not in st.session_state:
reset_game()
st.title('Can your brain be random?')
if st.session_state.stage == 0:
st.button('Begin', on_click=set_state, args=[1],use_container_width=True)
st.session_state.n_buttons = st.slider(label="How many buttons to play with?", min_value=2, max_value=5,value=2)
st.markdown(f'You will be presented with {st.session_state.n_buttons} buttons to randomly choose from')
st.markdown("At each round, I will try to predict which button you click :-)")
st.markdown(f"If I get it right, I earn {st.session_state.n_buttons-1} point(s), otherwise you earn 1 point")
st.markdown(f"Play as long as you want and try to beat me!")
# def get_prev_seqs(history):
# # st.write(history)
# seqs = []
# for h in range(max_history+1):
# if len(history) >= h:
# previous_seq = ''.join(history[-h:]) if h > 0 else ""
# # st.write(previous_seq)
# seqs.append(previous_seq) # from small to largest
# return seqs
# def refresh_preds():
# played = st.session_state.history[-1]
# seqs = get_prev_seqs(st.session_state.history[:-1])
# for seq in seqs:
# # st.write(f'"{seq}"',played)
# st.session_state.preds[seq][played] += 1
def make_pred(max_history=max_history,alpha=0.5):
history = st.session_state.history
denominator = 0
scores = {str(i):0 for i in range(st.session_state.n_buttons)}
recent = np.array(history[-max_history:])
for i in range(1,len(history)):
past = np.array(history[-i-max_history:-i])
played = history[-i]
decay = np.exp(-alpha*np.linspace(1,0,len(past)))
similarity = ((past == recent[-len(past):])*decay).sum() / decay.sum()
weight = len(history)/(len(history)+i) * similarity
scores[played] += weight
denominator += weight
if not denominator:
return get_random_play()
result = {str(i):scores[str(i)]/denominator for i in range(st.session_state.n_buttons)}
return result
def get_random_play():
return {str(i):1/st.session_state.n_buttons for i in range(st.session_state.n_buttons)}
# def make_pred():
# seqs = get_prev_seqs(st.session_state.history)
# # st.write('seqs',seqs)
# scores = defaultdict(float)
# denominator = 0
# for i,seq in enumerate(seqs):
# weight = (i+1)**2
# preds = st.session_state.preds[seq]
# total = sum(preds.values())
# if total:
# for played,value in preds.items():
# scores[played] += weight*value/total
# denominator += weight
# if denominator:
# scores = {played:value/denominator for played,value in scores.items()}
# return scores
# else:
# return get_random_play()
def update_pnl(user_win):
current_score = st.session_state.pnl[-1]
current_score += -1 if user_win else (st.session_state.n_buttons-1)
st.session_state.pnl.append(current_score)
expected_change = (2**0.5) * ((st.session_state.n_buttons-1)/st.session_state.n_buttons)
st.session_state.min.append(st.session_state.min[-1]-expected_change)
st.session_state.max.append(st.session_state.max[-1]+expected_change)
def user_select(i,choice):
st.session_state.history.append(str(i))
if i == choice:
st.toast("I win!", icon='🤪')
update_pnl(user_win=False)
else:
st.toast('Well done!', icon='😍')
update_pnl(user_win=True)
# refresh_preds()
def compute_perf():
data = np.array(st.session_state.pnl)
if len(data) > 1:
data = data[1:] - data[:-1]
perf = data.mean()
std = data.std()
win = (data>0).mean()
sharpe = perf / std
return f'%age win={win:.2%} Sharpe={sharpe:.2f}'
if st.session_state.stage == 1:
pred = make_pred()
choice = max(pred,key=pred.get)
cols = st.columns(st.session_state.n_buttons)
for i,col in enumerate(cols):
col.button(str(i),on_click=user_select, args=[str(i),choice],
use_container_width=True)
st.subheader(f'My earnings so far... {compute_perf()} :-)')
fig = px.line(st.session_state.pnl)
fig.update_layout(showlegend=False)
st.plotly_chart(fig, use_container_width=True)
st.button('Start over', on_click=reset_game, args=[],
use_container_width=True) |