Update app.py

app.py

@@ -1,38 +1,280 @@
-fig.update_layout(
-    xaxis=dict(
-        title="x-axis",
-        range=[-10, 10],
-        showline=True,
-        linecolor="white",
-        tickcolor="white",
-        tickfont=dict(color="white"),
-        ticks="outside",
-    ),
-    yaxis=dict(
-        title="y-axis",
-        range=[min(y_plot) - 5, min(max(y_plot) + 5, 1000)],  # Limiting the max y to 1000
-        showline=True,
-        linecolor="white",
-        tickcolor="white",
-        tickfont=dict(color="white"),
-        ticks="outside",
-    ),
-    plot_bgcolor="black",
-    paper_bgcolor="black",
-    title="",
-    margin=dict(l=10, r=10, t=10, b=10),
-    width=800,
-    height=400,
-    showlegend=True,
-    legend=dict(
-        x=1.1,
-        y=0.5,
-        xanchor="left",
-        yanchor="middle",
-        orientation="v",
-        font=dict(size=12, color="white"),
-        bgcolor="black",
-        bordercolor="white",
-        borderwidth=2,
-    )
+import streamlit as st
+import numpy as np
+import plotly.graph_objects as go
+
+# Safe function evaluation
+def safe_eval(func_str, x_val):
+    """ Safely evaluates the function at a given x value. """
+    allowed_names = {"x": x_val, "np": np}
+    try:
+        return eval(func_str, {"__builtins__": None}, allowed_names)
+    except Exception as e:
+        raise ValueError(f"Error evaluating the function: {e}")
+
+# Function derivative using finite difference method
+def derivative(func_str, x_val, h=1e-5):
+    """ Numerically compute the derivative of the function at x using finite differences. """
+    return (safe_eval(func_str, x_val + h) - safe_eval(func_str, x_val - h)) / (2 * h)
+
+# Tangent line equation
+def tangent_line(func_str, x_val, x_range):
+    """ Compute the tangent line at a given x value. """
+    y_val = safe_eval(func_str, x_val)
+    slope = derivative(func_str, x_val)
+    return slope * (x_range - x_val) + y_val
+
+# Callback to reset session state
+def reset_state():
+    st.session_state.x = st.session_state.starting_point
+    st.session_state.iteration = 0
+    st.session_state.x_vals = [st.session_state.starting_point]
+    st.session_state.y_vals = [safe_eval(st.session_state.func_input, st.session_state.starting_point)]
+
+# Initialize session state variables
+if "func_input" not in st.session_state:
+    st.session_state.func_input = "x**2 + x"
+if "x" not in st.session_state:
+    st.session_state.x = 4.0
+    st.session_state.iteration = 0
+    st.session_state.x_vals = [4.0]
+    st.session_state.y_vals = [safe_eval(st.session_state.func_input, 4.0)]
+
+# Full-width layout
+st.set_page_config(layout="wide")
+
+# CSS Styles for Borders, Font, Reduced Padding, and Custom Border Color
+st.markdown(
+    """
+    <style>
+    * {
+        font-family: Cambria, Arial, sans-serif !important;
+    }
+    h1, h2, h3, h4, h5 {
+        text-align: center;
+        margin-top: 0;
+    }
+    input, .stButton button, .stDownloadButton button {
+        border: 2px solid #ea445a;
+        border-radius: 5px;
+        padding: 10px;
+    }
+    .stInfo, .stSuccess {
+        border: 2px solid #ea445a;
+        border-radius: 5px;
+        padding: 10px;
+    }
+    .stButton {
+        margin-top: 10px;
+    }
+    /* Reduced Padding at the top */
+    .css-1d391kg {
+        padding-top: 0.5rem;
+    }
+    /* Centering the legend in the plot */
+    .stPlotlyChart {
+        display: block;
+        margin: 0 auto;
+    }
+    /* Adjusting for full width without scrolling */
+    .css-1lcbvhc {
+        padding-left: 0;
+        padding-right: 0;
+    }
+    /* Custom borders for input fields */
+    .stTextInput input, .stNumberInput input {
+        border: 2px solid #001A6E;
+        border-radius: 5px;
+        padding: 10px;
+    }
+    /* Tooltip styling */
+    .tooltip {
+        position: relative;
+        display: inline-block;
+        cursor: pointer;
+    }
+    .tooltip .tooltiptext {
+        visibility: hidden;
+        opacity: 0;
+        width: 300px;
+        background-color: #001A6E;
+        color: #fff;
+        text-align: center;
+        border-radius: 5px;
+        padding: 5px;
+        position: absolute;
+        z-index: 1;
+        bottom: 125%; /* Position the tooltip above */
+        left: 50%;
+        margin-left: -150px;
+        transition: opacity 0.3s;
+    }
+    .tooltip:hover .tooltiptext {
+        visibility: visible;
+        opacity: 1;
+    }
+    </style>
+    """,
+    unsafe_allow_html=True,
 )
+
+# Page Layout
+st.title("🌟 Gradient Descent Interactive Tool 🌟")
+
+col1, col2 = st.columns([1, 2])
+
+# Left Section: User Input
+with col1:
+    st.subheader("🔧 Define Your Function")
+
+    # Tooltip with instructions when hovering over the function input label
+    st.markdown(
+        """
+        <div class="tooltip">
+            <label for="func_input">Enter a function of 'x':</label>
+            <span class="tooltiptext">
+                **How to input your function:**
+                - Please give the inputs as mentioned below                
+                - x^n as  x**n,                
+                - sin(x) as np.sin(x)                
+                - log(x) as np.log(x),                
+                - e^x or exp(x) as np.exp(x).
+            </span>
+        </div>
+        """,
+        unsafe_allow_html=True
+    )
+    
+    # Use text input for the user to define a function, but no `value` argument
+    func_input = st.text_input(
+        "👇", 
+        key="func_input", 
+        on_change=reset_state
+    )
+
+    st.subheader("⚙️ Gradient Descent Parameters")
+    starting_point = st.number_input(
+        "Starting Point (X₀)", 
+        value=4.0, 
+        step=0.1, 
+        format="%.2f", 
+        key="starting_point", 
+        on_change=reset_state
+    )
+    learning_rate = st.number_input(
+        "Learning Rate (ŋ)", 
+        value=0.25, 
+        step=0.01, 
+        format="%.2f", 
+        key="learning_rate", 
+        on_change=reset_state
+    )
+
+    col3, col4 = st.columns(2)
+    with col3:
+        if st.button("🔄 Set Up Function"):
+            reset_state()
+    with col4:
+        if st.button("▶️ Next Iteration"):
+            try:
+                grad = derivative(st.session_state.func_input, st.session_state.x)
+                st.session_state.x = st.session_state.x - learning_rate * grad
+                st.session_state.iteration += 1
+                st.session_state.x_vals.append(st.session_state.x)
+                st.session_state.y_vals.append(safe_eval(st.session_state.func_input, st.session_state.x))
+            except Exception as e:
+                st.error(f"⚠️ Error: {str(e)}")
+
+# Right Section: Visualization
+with col2:
+    st.subheader("📊 Gradient Descent Visualization")
+    try:
+        # Plot the function and all current and previous gradient descent points
+        x_plot = np.linspace(-10, 10, 400)
+        y_plot = [safe_eval(st.session_state.func_input, x) for x in x_plot]
+
+        fig = go.Figure()
+
+        # Function curve
+        fig.add_trace(go.Scatter(
+            x=x_plot, 
+            y=y_plot, 
+            mode="lines+markers", 
+            line=dict(color="blue", width=2), 
+            marker=dict(size=4, color="blue", symbol="circle"),
+            name="Function"
+        ))
+
+        # All gradient descent points (red points without coordinates)
+        fig.add_trace(go.Scatter(
+            x=st.session_state.x_vals,
+            y=st.session_state.y_vals,
+            mode="markers",
+            marker=dict(color="red", size=10),
+            name="Gradient Descent Points"
+        ))
+
+        # Tangent line at the current gradient descent point
+        current_x = st.session_state.x
+        tangent_x = np.linspace(-10, 10, 200)  # Adjusting range to cover entire plot
+        tangent_y = tangent_line(st.session_state.func_input, current_x, tangent_x)
+        fig.add_trace(go.Scatter(
+            x=tangent_x,
+            y=tangent_y,
+            mode="lines",
+            line=dict(color="orange", width=3),
+            name="Tangent Line"
+        ))
+
+        # Dynamic zoom for better visibility
+        fig.update_layout(
+            xaxis=dict(
+                title="x-axis",
+                range=[-10, 10],
+                showline=True,
+                linecolor="white",
+                tickcolor="white",
+                tickfont=dict(color="white"),
+                ticks="outside",
+            ),
+            yaxis=dict(
+                title="y-axis",
+                range=[min(y_plot) - 5, min(max(y_plot) + 5, 1000)],  # Limiting the max y to 1000
+                showline=True,
+                linecolor="white",
+                tickcolor="white",
+                tickfont=dict(color="white"),
+                ticks="outside",
+            ),
+            plot_bgcolor="black",
+            paper_bgcolor="black",
+            title="",
+            margin=dict(l=10, r=10, t=10, b=10),
+            width=800,
+            height=400,
+            showlegend=True,
+            legend=dict(
+                x=1.1,
+                y=0.5,
+                xanchor="left",
+                yanchor="middle",
+                orientation="v",
+                font=dict(size=12, color="white"),
+                bgcolor="black",
+                bordercolor="white",
+                borderwidth=2,
+            )
+        )
+
+        # Axis lines for quadrants
+        fig.add_shape(type="line", x0=-10, x1=10, y0=0, y1=0, line=dict(color="white", width=2))  # x-axis
+        fig.add_shape(type="line", x0=0, x1=0, y0=-100, y1=100, line=dict(color="white", width=2))  # y-axis
+
+        st.plotly_chart(fig, use_container_width=True)
+
+    except Exception as e:
+        st.error(f"⚠️ Error in visualization: {str(e)}")
+
+    # Iteration stats and download
+    col5, col6 = st.columns(2)
+    col5.info(f"🧑‍💻 Iteration: {st.session_state.iteration}")
+    col6.success(f"✅ Current x: {st.session_state.x:.4f}, Current f(x): {st.session_state.y_vals[-1]:.4f}")