Update src/streamlit_app.py

src/streamlit_app.py

@@ -1,40 +1,55 @@
-import altair as alt
-import numpy as np
-import pandas as pd
 import streamlit as st
-
-"""
-# Welcome to Streamlit!
-
-Edit `/streamlit_app.py` to customize this app to your heart's desire :heart:.
-If you have any questions, checkout our [documentation](https://docs.streamlit.io) and [community
-forums](https://discuss.streamlit.io).
-
-In the meantime, below is an example of what you can do with just a few lines of code:
-"""
-
-num_points = st.slider("Number of points in spiral", 1, 10000, 1100)
-num_turns = st.slider("Number of turns in spiral", 1, 300, 31)
-
-indices = np.linspace(0, 1, num_points)
-theta = 2 * np.pi * num_turns * indices
-radius = indices
-
-x = radius * np.cos(theta)
-y = radius * np.sin(theta)
-
-df = pd.DataFrame({
-    "x": x,
-    "y": y,
-    "idx": indices,
-    "rand": np.random.randn(num_points),
-})
-
-st.altair_chart(alt.Chart(df, height=700, width=700)
-    .mark_point(filled=True)
-    .encode(
-        x=alt.X("x", axis=None),
-        y=alt.Y("y", axis=None),
-        color=alt.Color("idx", legend=None, scale=alt.Scale()),
-        size=alt.Size("rand", legend=None, scale=alt.Scale(range=[1, 150])),
-    ))
+import numpy as np
+import matplotlib.pyplot as plt
+
+# Sidebar inputs
+st.sidebar.header("Function Parameters")
+a_0 = st.sidebar.slider("Amplitude of Sine (a₀)", -5.0, 5.0, 1.0, 0.1)
+omega = st.sidebar.slider("Frequency of Sine (ω)", 0.1, 10.0, 1.0, 0.1)
+b_0 = st.sidebar.slider("Initial value of Exp (b₀)", -5.0, 5.0, 1.0, 0.1)
+alpha = st.sidebar.slider("Exponent Coefficient (α)", -5.0, 5.0, 0.5, 0.1)
+
+# Main title
+st.title("Damped/undamped vibration characteristic visualiser")
+
+# Time vector
+t = np.linspace(0, 10, 1000)
+
+# Functions
+y_sin = a_0 * np.sin(omega * t)
+y_exp = b_0 * np.exp(alpha * t)
+y_combined = y_sin * y_exp
+
+# Plotting setup
+fig1, ax1 = plt.subplots()
+ax1.plot(t, y_sin, label=r'$a_0 \sin(\omega t)$', color='tab:blue')
+ax1.set_title("Sine Function", fontsize=14)
+ax1.set_xlabel("Time (t)", fontsize=12)
+ax1.set_ylabel("Amplitude", fontsize=12)
+ax1.grid(True)
+ax1.legend()
+
+fig2, ax2 = plt.subplots()
+ax2.plot(t, y_exp, label=r'$b_0 e^{\alpha t}$', color='tab:green')
+ax2.set_title("Exponential Function", fontsize=14)
+ax2.set_xlabel("Time (t)", fontsize=12)
+ax2.set_ylabel("Amplitude", fontsize=12)
+ax2.grid(True)
+ax2.legend()
+
+fig3, ax3 = plt.subplots()
+ax3.plot(t, y_combined, label=r'$a_0 \sin(\omega t) \cdot b_0 e^{\alpha t}$', color='tab:red')
+ax3.set_title("Combined Function: Sine × Exponential", fontsize=14)
+ax3.set_xlabel("Time (t)", fontsize=12)
+ax3.set_ylabel("Amplitude", fontsize=12)
+ax3.grid(True)
+ax3.legend()
+
+# Display plots in layout
+col1, col2 = st.columns(2)
+with col1:
+    st.pyplot(fig1)
+with col2:
+    st.pyplot(fig2)
+
+st.pyplot(fig3)