Spaces:
Sleeping
Sleeping
File size: 2,592 Bytes
9502785 3fc7839 9502785 3fc7839 9502785 3fc7839 9502785 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 |
import streamlit as st
import numpy as np
import matplotlib.pyplot as plt
# Define a function to calculate assembly A
def calculate_assembly(ai_values, ni_values, N_T):
return sum([np.exp(ai) * ((ni - 1) / N_T) for ai, ni in zip(ai_values, ni_values)])
# Sample data for top ten geometric assemblies
example_assemblies = {
"Lighthouse": {"ai": 2.5, "ni": 1},
"Eyeglasses": {"ai": 1.8, "ni": 2},
"Stool": {"ai": 1.2, "ni": 3},
"Window": {"ai": 1.5, "ni": 4},
"Hand": {"ai": 2.0, "ni": 5},
"Dice": {"ai": 0.8, "ni": 6},
"Heaven": {"ai": 2.3, "ni": 7},
"Gate": {"ai": 1.7, "ni": 8},
"Cat": {"ai": 2.1, "ni": 9},
"Toes": {"ai": 1.0, "ni": 10},
}
# Streamlit App
st.title("The Assembly Equation Interactive Simulator")
st.write("""
The Assembly Equation is defined as:
\( A = \sum_{i=1}^{N} e^{a_i} \left(\frac{n_i - 1}{N_T}\right) \)
Where:
- \( A \) is the assembly of the ensemble
- \( a_i \) is the assembly index of object \( i \)
- \( n_i \) is the copy number of object \( i \)
- \( N \) is the total number of unique objects
- \( N_T \) is the total number of objects in the ensemble
""")
# Sidebar for inputs
st.sidebar.header("Input Parameters")
N = st.sidebar.number_input("Enter the total number of unique objects (N):", min_value=1, value=len(example_assemblies))
N_T = st.sidebar.number_input("Enter the total number of objects in the ensemble (N_T):", min_value=1, value=50)
# Inputs for each object
ai_values = []
ni_values = []
objects = list(example_assemblies.keys())
for i in range(N):
obj = objects[i]
ai = st.sidebar.number_input(f"Enter the assembly index of {obj} (a{i+1}):", value=example_assemblies[obj]["ai"], key=f"a{i+1}")
ni = st.sidebar.number_input(f"Enter the copy number of {obj} (n{i+1}):", min_value=0, value=example_assemblies[obj]["ni"], key=f"n{i+1}")
ai_values.append(ai)
ni_values.append(ni)
# Button to calculate assembly
if st.sidebar.button('Calculate Assembly'):
A = calculate_assembly(ai_values, ni_values, N_T)
st.write("The assembly of the ensemble (A) is:", A)
# Plotting the assembly index
fig, ax = plt.subplots()
ax.bar(objects, ai_values, color='skyblue')
ax.set_xlabel('Objects')
ax.set_ylabel('Assembly Index')
ax.set_title('Assembly Index of Each Object')
st.pyplot(fig)
else:
st.write("Enter values and press 'Calculate Assembly' to see the result.")
# Showing the dictionary of examples
st.write("Example inputs for simple assemblies:")
st.json(example_assemblies)
# Run the app with streamlit run <this_script_name>.py
|