Create backup.app.py

backup.app.py

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+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