Create image.py

image.py

@@ -0,0 +1,527 @@
+# image.py
+import gradio as gr
+import sympy as sp
+from pix2text import Pix2Text
+from PIL import Image
+import numpy as np
+import matplotlib.pyplot as plt
+import re
+import io
+import logging
+
+# Configure logging for debugging
+logging.basicConfig(level=logging.INFO)
+logger = logging.getLogger(__name__)
+
+# Define symbolic variables for polynomial and linear system solving
+x, y = sp.symbols('x y')
+
+# Initialize Pix2Text model globally to avoid reloading
+try:
+    p2t_model = Pix2Text.from_config()
+    logger.info("Pix2Text model loaded successfully")
+except Exception as e:
+    logger.error(f"Failed to load Pix2Text model: {e}")
+    p2t_model = None
+
+def clean_latex_expression(latex_str):
+    """Clean and normalize LaTeX expression for better parsing"""
+    if not latex_str:
+        return ""
+    
+    # Remove common LaTeX artifacts
+    latex_str = latex_str.strip()
+    latex_str = re.sub(r'\\[a-zA-Z]+\{([^}]*)\}', r'\1', latex_str)  # Remove LaTeX commands
+    latex_str = re.sub(r'\\\\', r'\\', latex_str)  # Fix double backslashes
+    latex_str = re.sub(r'\s+', ' ', latex_str)  # Normalize whitespace
+    
+    return latex_str
+
+def parse_equation_type(latex_str):
+    """Determine if the equation is polynomial or linear system"""
+    try:
+        # Clean the latex string
+        cleaned = clean_latex_expression(latex_str)
+        
+        # Check if it contains system indicators
+        if '\\\\' in cleaned or '\n' in cleaned or 'system' in cleaned.lower():
+            return 'linear_system'
+        
+        # Check for polynomial indicators
+        if 'x^' in cleaned or '^' in cleaned:
+            return 'polynomial'
+        
+        # Check for linear equation indicators
+        if ('x' in cleaned and 'y' in cleaned) or ('=' in cleaned and any(op in cleaned for op in ['+', '-'])):
+            # Could be either, try to parse as polynomial first
+            try:
+                expr = sp.sympify(cleaned.split('=')[0] if '=' in cleaned else cleaned)
+                if x in expr.free_symbols:
+                    degree = sp.degree(expr, x)
+                    if degree > 1:
+                        return 'polynomial'
+                    elif degree == 1 and y in expr.free_symbols:
+                        return 'linear_system'
+                    else:
+                        return 'polynomial'
+            except:
+                pass
+        
+        return 'polynomial'  # Default fallback
+        
+    except Exception as e:
+        logger.error(f"Error determining equation type: {e}")
+        return 'polynomial'
+
+def extract_polynomial_coefficients(latex_str):
+    """Extract polynomial coefficients from LaTeX string"""
+    try:
+        # Clean and parse the expression
+        cleaned = clean_latex_expression(latex_str)
+        if '=' in cleaned:
+            cleaned = cleaned.split('=')[0].strip()
+        
+        # Try to parse with SymPy
+        expr = sp.sympify(cleaned)
+        
+        if x not in expr.free_symbols:
+            raise ValueError("No variable x found in expression")
+        
+        # Get polynomial degree
+        degree = sp.degree(expr, x)
+        
+        # Extract coefficients
+        poly = sp.Poly(expr, x)
+        coeffs = [float(poly.coeff_monomial(x**i)) for i in range(degree, -1, -1)]
+        
+        return {
+            "type": "polynomial",
+            "degree": degree,
+            "coeffs": " ".join(map(str, coeffs)),
+            "latex": latex_str,
+            "success": True
+        }
+        
+    except Exception as e:
+        logger.error(f"Error extracting polynomial coefficients: {e}")
+        return {
+            "type": "polynomial",
+            "degree": 2,
+            "coeffs": "1 0 0",  # Default quadratic
+            "latex": latex_str,
+            "success": False,
+            "error": str(e)
+        }
+
+def extract_linear_system_coefficients(latex_str):
+    """Extract linear system coefficients from LaTeX string"""
+    try:
+        # Clean and split equations
+        cleaned = clean_latex_expression(latex_str)
+        
+        # Split by common separators
+        equations = re.split(r'\\\\|\n|;', cleaned)
+        if len(equations) < 2:
+            # Try to detect two equations in one line
+            equations = re.split(r'(?<=[0-9])\s*(?=[+-]?\s*[0-9]*[xy])', cleaned)
+        
+        if len(equations) < 2:
+            raise ValueError("Could not find two equations in system")
+        
+        eq1_str = equations[0].strip()
+        eq2_str = equations[1].strip()
+        
+        # Parse each equation
+        def parse_linear_eq(eq_str):
+            # Convert to standard form ax + by = c
+            if '=' not in eq_str:
+                raise ValueError("No equals sign found")
+            
+            left, right = eq_str.split('=')
+            expr = sp.sympify(left) - sp.sympify(right)
+            
+            # Extract coefficients
+            a = float(expr.coeff(x, 1)) if expr.coeff(x, 1) else 0
+            b = float(expr.coeff(y, 1)) if expr.coeff(y, 1) else 0
+            c = float(-expr.as_coefficients_dict()[1]) if 1 in expr.as_coefficients_dict() else 0
+            
+            return f"{a} {b} {c}"
+        
+        eq1_coeffs = parse_linear_eq(eq1_str)
+        eq2_coeffs = parse_linear_eq(eq2_str)
+        
+        return {
+            "type": "linear",
+            "eq1_coeffs": eq1_coeffs,
+            "eq2_coeffs": eq2_coeffs,
+            "latex": latex_str,
+            "success": True
+        }
+        
+    except Exception as e:
+        logger.error(f"Error extracting linear system coefficients: {e}")
+        return {
+            "type": "linear",
+            "eq1_coeffs": "1 1 3",  # Default system
+            "eq2_coeffs": "1 -1 1",
+            "latex": latex_str,
+            "success": False,
+            "error": str(e)
+        }
+
+def extract_equation_from_image(image_file):
+    """Extract equation from image using Pix2Text with improved error handling"""
+    try:
+        if p2t_model is None:
+            return {
+                "type": "error",
+                "latex": "❌ Pix2Text model not loaded. Please check installation.",
+                "success": False
+            }
+        
+        if image_file is None:
+            return {
+                "type": "error",
+                "latex": "❌ No image file provided.",
+                "success": False
+            }
+        
+        # Open and process the image
+        if isinstance(image_file, str):
+            image = Image.open(image_file)
+        else:
+            image = Image.open(image_file.name)
+        
+        # Convert to RGB if needed
+        if image.mode != 'RGB':
+            image = image.convert('RGB')
+        
+        logger.info(f"Processing image of size: {image.size}")
+        
+        # Extract text and formulas using Pix2Text
+        result = p2t_model.recognize_text_formula(image)
+        
+        if not result or result.strip() == "":
+            return {
+                "type": "error",
+                "latex": "❌ No text or formulas detected in the image.",
+                "success": False
+            }
+        
+        logger.info(f"Extracted text: {result}")
+        
+        # Determine equation type
+        eq_type = parse_equation_type(result)
+        
+        if eq_type == 'polynomial':
+            return extract_polynomial_coefficients(result)
+        else:
+            return extract_linear_system_coefficients(result)
+            
+    except Exception as e:
+        logger.error(f"Error processing image: {e}")
+        return {
+            "type": "error",
+            "latex": f"❌ Error processing image: {str(e)}",
+            "success": False
+        }
+
+# Import solve functions from other modules
+def solve_polynomial(degree, coeff_string, real_only):
+    """Solve polynomial equation (imported from polynomial.py logic)"""
+    try:
+        coeffs = list(map(float, coeff_string.strip().split()))
+        if len(coeffs) != degree + 1:
+            return f"⚠️ Please enter exactly {degree + 1} coefficients.", None, None
+
+        poly = sum([coeffs[i] * x**(degree - i) for i in range(degree + 1)])
+        simplified = sp.simplify(poly)
+        factored = sp.factor(simplified)
+        roots = sp.solve(sp.Eq(simplified, 0), x)
+
+        if real_only:
+            roots = [r for r in roots if sp.im(r) == 0]
+
+        roots_output = "$$\n" + "\\ ".join(
+            [f"r_{{{i}}} = {sp.latex(sp.nsimplify(r, rational=True))}" for i, r in enumerate(roots, 1)]
+        ) + "\n$$"
+
+        steps_output = f"""
+### 🧐 Polynomial Expression
+$$ {sp.latex(poly)} = 0 $$
+### ✏️ Simplified
+$$ {sp.latex(simplified)} = 0 $$
+### 🤩 Factored
+$$ {sp.latex(factored)} = 0 $$
+### 🥮 Roots {'(Only Real)' if real_only else '(All Roots)'}
+{roots_output}
+        """
+
+        x_vals = np.linspace(-10, 10, 400)
+        y_vals = np.polyval(coeffs, x_vals)
+
+        fig, ax = plt.subplots(figsize=(6, 4))
+        ax.plot(x_vals, y_vals, label="Polynomial", color="blue")
+        ax.axhline(0, color='black', linewidth=0.5)
+        ax.axvline(0, color='black', linewidth=0.5)
+        ax.grid(True)
+        ax.set_title("📈 Graph of the Polynomial")
+        ax.set_xlabel("x")
+        ax.set_ylabel("f(x)")
+        ax.legend()
+
+        return steps_output, fig, ""
+    except Exception as e:
+        return f"❌ Error: {e}", None, ""
+
+def solve_linear_system_from_coeffs(eq1_str, eq2_str):
+    """Solve linear system (imported from linear.py logic)"""
+    try:
+        coeffs1 = list(map(float, eq1_str.strip().split()))
+        coeffs2 = list(map(float, eq2_str.strip().split()))
+
+        if len(coeffs1) != 3 or len(coeffs2) != 3:
+            return "⚠️ Please enter exactly 3 coefficients for each equation.", None, None, None
+
+        a1, b1, c1 = coeffs1
+        a2, b2, c2 = coeffs2
+
+        eq1 = sp.Eq(a1 * x + b1 * y, c1)
+        eq2 = sp.Eq(a2 * x + b2 * y, c2)
+
+        sol = sp.solve([eq1, eq2], (x, y), dict=True)
+        if not sol:
+            return "❌ No unique solution.", None, None, None
+
+        solution = sol[0]
+        eq_latex = f"$$ {sp.latex(eq1)} \\ {sp.latex(eq2)} $$"
+
+        steps = rf"""
+### 📌 Step-by-step Solution
+1. **Original Equations:**
+   $$ {sp.latex(eq1)} $$
+   $$ {sp.latex(eq2)} $$
+2. **Standard Form:** Already provided.
+3. **Solve using SymPy `solve`:** Internally applies substitution/elimination.
+4. **Solve for `x` and `y`:**
+   $$ x = {sp.latex(solution[x])}, \quad y = {sp.latex(solution[y])} $$
+5. **Verification:** Substitute back into both equations."""
+
+        x_vals = np.linspace(-10, 10, 400)
+        f1 = sp.solve(eq1, y)
+        f2 = sp.solve(eq2, y)
+
+        fig, ax = plt.subplots()
+        if f1:
+            f1_func = sp.lambdify(x, f1[0], modules='numpy')
+            ax.plot(x_vals, f1_func(x_vals), label=sp.latex(eq1))
+        if f2:
+            f2_func = sp.lambdify(x, f2[0], modules='numpy')
+            ax.plot(x_vals, f2_func(x_vals), label=sp.latex(eq2))
+
+        ax.plot(solution[x], solution[y], 'ro', label=f"Solution ({solution[x]}, {solution[y]})")
+        ax.axhline(0, color='black', linewidth=0.5)
+        ax.axvline(0, color='black', linewidth=0.5)
+        ax.legend()
+        ax.set_title("📊 Graph of the Equations")
+        ax.grid(True)
+
+        return eq_latex, steps, fig, ""
+    except Exception as e:
+        return f"❌ Error: {e}", None, None, None
+
+def solve_extracted_equation(eq_data, real_only):
+    """Route to appropriate solver based on equation type"""
+    if eq_data["type"] == "polynomial":
+        return solve_polynomial(eq_data["degree"], eq_data["coeffs"], real_only)
+    elif eq_data["type"] == "linear":
+        return solve_linear_system_from_coeffs(eq_data["eq1_coeffs"], eq_data["eq2_coeffs"])
+    else:
+        return "❌ Unknown equation type", None, ""
+
+def image_tab():
+    """Create the Image Upload Solver tab with improved functionality"""
+    with gr.Tab("📷 Image Upload Solver"):
+        gr.Markdown("## 📷 Solve Equations from Image")
+        
+        with gr.Row():
+            # File input for uploading images
+            image_input = gr.File(
+                label="Upload Question Image",
+                file_types=[".pdf", ".png", ".jpg", ".jpeg"],
+                file_count="single"
+            )
+            # Button to trigger image processing
+            image_upload_btn = gr.Button("📤 Process Image")
+        
+        gr.Markdown("**Supported Formats:** .pdf, .png, .jpg, .jpeg")
+
+        with gr.Row():
+            # Checkbox to toggle real roots only for polynomials
+            real_image_checkbox = gr.Checkbox(label="Show Only Real Roots (for Polynomials)", value=False)
+            # Button to preview the extracted equation
+            preview_image_btn = gr.Button("🔍 Preview Equation")
+
+        # Markdown component to display the extracted equation
+        image_equation_display = gr.Markdown()
+        
+        with gr.Row():
+            # Button to confirm and display the solution (initially hidden)
+            confirm_image_btn = gr.Button("✅ Display Solution", visible=False)
+            # Button to edit the equation manually (initially hidden)
+            edit_image_btn = gr.Button("✏️ Make Changes Manually", visible=False)
+
+        # Textbox for manual LaTeX editing (initially hidden)
+        edit_latex_input = gr.Textbox(label="Edit LaTeX Equation", visible=False, lines=3)
+        # Button to save manual changes (initially hidden)
+        save_edit_btn = gr.Button("💾 Save Changes", visible=False)
+
+        # Markdown component to display solution steps
+        image_steps_md = gr.Markdown()
+        # Plot component to display the graph
+        image_plot_output = gr.Plot()
+        # Textbox to display errors
+        image_error_box = gr.Textbox(label="Status", visible=True, interactive=False)
+
+        # State to store the extracted equation data
+        extracted_eq_state = gr.State()
+
+        def handle_image_upload(image_file):
+            """Handle image upload and initial processing"""
+            if image_file is None:
+                return "⚠️ Please upload an image.", None, "", None, None
+            
+            try:
+                eq_data = extract_equation_from_image(image_file)
+                if eq_data["success"]:
+                    status = "✅ Image processed successfully. Click 'Preview Equation' to see the extracted equation."
+                else:
+                    status = f"⚠️ Processing completed with issues: {eq_data.get('error', 'Unknown error')}"
+                
+                return status, eq_data, "", None, None
+            except Exception as e:
+                return f"❌ Error processing image: {str(e)}", None, "", None, None
+
+        # Event handler for image upload button
+        image_upload_btn.click(
+            fn=handle_image_upload,
+            inputs=[image_input],
+            outputs=[image_error_box, extracted_eq_state, image_equation_display, 
+                    image_steps_md, image_plot_output]
+        )
+
+        def preview_image_equation(eq_data, real_only):
+            """Preview the extracted equation"""
+            if eq_data is None:
+                return ("⚠️ No equation data available. Please upload and process an image first.", 
+                       gr.update(visible=False), gr.update(visible=False), "", None)
+            
+            if eq_data["type"] == "error":
+                return (eq_data["latex"], gr.update(visible=False), gr.update(visible=False), "", None)
+            
+            # Create preview display
+            if eq_data["type"] == "polynomial":
+                eq_type_display = "Polynomial Equation"
+                details = f"Degree: {eq_data['degree']}, Coefficients: {eq_data['coeffs']}"
+            else:
+                eq_type_display = "Linear System"
+                details = f"Equation 1: {eq_data['eq1_coeffs']}, Equation 2: {eq_data['eq2_coeffs']}"
+            
+            preview_text = f"""
+### ✅ Confirm {eq_type_display}
+
+**Extracted LaTeX:** {eq_data['latex']}
+
+**Parsed Details:** {details}
+
+**Status:** {'✅ Successfully parsed' if eq_data.get('success', True) else '⚠️ Parsing had issues but proceeding with defaults'}
+            """
+            
+            return (preview_text, gr.update(visible=True), gr.update(visible=True), "", None)
+
+        # Event handler for preview button
+        preview_image_btn.click(
+            fn=preview_image_equation,
+            inputs=[extracted_eq_state, real_image_checkbox],
+            outputs=[image_equation_display, confirm_image_btn, edit_image_btn, 
+                    image_steps_md, image_plot_output]
+        )
+
+        def confirm_image_solution(eq_data, real_only):
+            """Confirm and solve the extracted equation"""
+            if eq_data is None or eq_data["type"] == "error":
+                return "⚠️ No valid equation to solve.", None, "No equation available"
+            
+            try:
+                if eq_data["type"] == "polynomial":
+                    steps, plot, error = solve_polynomial(eq_data["degree"], eq_data["coeffs"], real_only)
+                    return steps, plot, error if error else "✅ Solution completed"
+                elif eq_data["type"] == "linear":
+                    eq_latex, steps, plot, error = solve_linear_system_from_coeffs(
+                        eq_data["eq1_coeffs"], eq_data["eq2_coeffs"])
+                    return steps, plot, error if error else "✅ Solution completed"
+                else:
+                    return "❌ Unknown equation type", None, "Unknown equation type"
+            except Exception as e:
+                return f"❌ Error solving equation: {str(e)}", None, str(e)
+
+        # Event handler for confirm button
+        confirm_image_btn.click(
+            fn=confirm_image_solution,
+            inputs=[extracted_eq_state, real_image_checkbox],
+            outputs=[image_steps_md, image_plot_output, image_error_box]
+        )
+
+        def enable_manual_edit(eq_data):
+            """Enable manual editing of the equation"""
+            if eq_data is None:
+                latex_value = "No equation to edit. Please upload an image first."
+            elif eq_data["type"] == "error":
+                latex_value = "Error in extraction. Please enter your equation manually."
+            else:
+                latex_value = eq_data.get("latex", "")
+            
+            return (gr.update(visible=True, value=latex_value), 
+                   gr.update(visible=True), 
+                   gr.update(visible=False), 
+                   gr.update(visible=False))
+
+        # Event handler for edit button
+        edit_image_btn.click(
+            fn=enable_manual_edit,
+            inputs=[extracted_eq_state],
+            outputs=[edit_latex_input, save_edit_btn, confirm_image_btn, edit_image_btn]
+        )
+
+        def save_manual_changes(latex_input, real_only):
+            """Save manual changes and solve"""
+            try:
+                if not latex_input or latex_input.strip() == "":
+                    return "⚠️ Please enter a valid equation.", None, "Empty input"
+                
+                # Determine equation type from manual input
+                eq_type = parse_equation_type(latex_input)
+                
+                if eq_type == 'polynomial':
+                    eq_data = extract_polynomial_coefficients(latex_input)
+                    steps, plot, error = solve_polynomial(eq_data["degree"], eq_data["coeffs"], real_only)
+                else:
+                    eq_data = extract_linear_system_coefficients(latex_input)
+                    eq_latex, steps, plot, error = solve_linear_system_from_coeffs(
+                        eq_data["eq1_coeffs"], eq_data["eq2_coeffs"])
+                
+                return steps, plot, error if error else "✅ Manual equation solved"
+                
+            except Exception as e:
+                return f"❌ Error parsing manual input: {str(e)}", None, str(e)
+
+        # Event handler for save button
+        save_edit_btn.click(
+            fn=save_manual_changes,
+            inputs=[edit_latex_input, real_image_checkbox],
+            outputs=[image_steps_md, image_plot_output, image_error_box]
+        )
+
+    return (image_input, image_upload_btn, real_image_checkbox, preview_image_btn,
+            image_equation_display, confirm_image_btn, edit_image_btn, edit_latex_input,
+            save_edit_btn, image_steps_md, image_plot_output, image_error_box, extracted_eq_state)