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import streamlit as st
import math
# Define the conversion table from French to Ewbank grades
french_to_ewbank = {
'4a/4a+': 13, '4b/4b+': 14, '4c/4c+': 15,
'5a': 15.5, '5a+/5b': 16, '5b+': 17, '5c': 17.5,
'5c+/6a': 18, '6a+': 19,
'6b': 20, '6b+': 21, '6c': 21.5, '6c+': 22.5,
'7a': 23, '7a+': 24, '7b': 25, '7b+': 26,
'7c': 27, '7c+': 28, '8a': 29, '8a+': 30,
'8b': 31, '8b+': 32, '8c': 33, '9a': 35,
'9b': 37, '9c': 39
}
# Function to convert French grades to Ewbank grades
def convert_french_to_ewbank(french_grade):
return french_to_ewbank.get(french_grade, None)
# Function to calculate the probability of success
def calculate_probability_of_success(current_grade_ewbank, route_grade_ewbank, m_parameter):
probability_success = 1 / (math.exp(m_parameter * (route_grade_ewbank - current_grade_ewbank)) + 1)
expected_attempts = (1 - probability_success) / probability_success
return probability_success, expected_attempts
# Streamlit app
def main():
st.title("Climbing Grade Success Estimator")
# Sidebar for references
st.sidebar.header("How it works?")
st.sidebar.write("""Based on the work presented in the paper 'Bayesian inference of the climbing grade scale' available on [ArXiv](https://arxiv.org/abs/2111.08140)""")
st.sidebar.write("""\n\n[Here you can find a table for grade conversion](https://www.thecrag.com/en/article/grades)""")
st.sidebar.header("\n\nOriginal Paper Citation:")
st.sidebar.text("""
@misc{drummond2021bayesian,
title={Bayesian inference of the climbing grade scale},
author={Alexei Drummond and Alex Popinga},
year={2021},
eprint={2111.08140},
archivePrefix={arXiv},
primaryClass={stat.AP}
}
""")
st.sidebar.write("""\n\nDeveloped by Edoardo Bianchi""")
st.write("Select your current climbing grade and the grade of the route you plan to climb. Grades are expressed following the French system.")
current_grade_french = st.selectbox("Climber's Current Grade (French)", options=list(french_to_ewbank.keys()))
route_grade_french = st.selectbox("Route Grade (French)", options=list(french_to_ewbank.keys()))
m_parameter = 0.85 # Slope parameter from the paper for Ewbank scale
if st.button("Estimate Probability"):
current_grade_ewbank = convert_french_to_ewbank(current_grade_french)
route_grade_ewbank = convert_french_to_ewbank(route_grade_french)
probability, attempts = calculate_probability_of_success(current_grade_ewbank, route_grade_ewbank, m_parameter)
st.success(f"Probability of Success: {probability*100:.2f}%")
st.success(f"Expected Number of Attempts: {attempts:.2f}")
if __name__ == "__main__":
main()
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