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image.py

@@ -0,0 +1,478 @@
+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
+x, y = sp.symbols('x y')
+
+# Initialize Pix2Text model globally
+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 SymPy parsing"""
+    if not latex_str:
+        return ""
+    
+    latex_str = latex_str.strip()
+    latex_str = re.sub(r'^\$\$|\$\$$', '', latex_str)  # Remove $$ delimiters
+    latex_str = re.sub(r'\\[a-zA-Z]+\{([^}]*)\}', r'\1', latex_str)  # Remove LaTeX commands
+    latex_str = re.sub(r'\\{2,}', r'\\', latex_str)  # Fix multiple backslashes
+    latex_str = re.sub(r'\s+', ' ', latex_str)  # Normalize whitespace
+    latex_str = re.sub(r'\^{([^}]+)}', r'**\1', latex_str)  # Convert x^{n} to x**n
+    latex_str = re.sub(r'(\d*\.?\d+)\s*([xy])', r'\1*\2', latex_str)  # Add multiplication: 1.0x -> 1.0*x
+    latex_str = re.sub(r'\s*([+\-*/=])\s*', r'\1', latex_str)  # Remove spaces around operators
+    if '=' in latex_str:
+        left, right = latex_str.split('=')
+        latex_str = f"{left} - ({right})"  # Move right-hand side to left
+    return latex_str.strip()
+
+def parse_equation_type(latex_str):
+    """Determine if the equation is polynomial (single-variable) or linear system (two-variable)"""
+    try:
+        cleaned = clean_latex_expression(latex_str)
+        if not cleaned:
+            return 'polynomial'
+
+        # Check for two-variable system
+        if 'y' in cleaned and 'x' in cleaned:
+            if '\\\\' in latex_str or '\n' in latex_str or len(re.split(r'\\\\|\n|;', latex_str)) >= 2:
+                return 'linear_system'
+            return 'linear'  # Single equation with x and y
+
+        # Check for single-variable polynomial
+        try:
+            expr = sp.sympify(cleaned.split('-')[0] if '-' in cleaned else cleaned)
+            if x in expr.free_symbols and y not in expr.free_symbols:
+                degree = sp.degree(expr, x)
+                return 'polynomial' if degree > 0 else 'linear'
+            elif x not in expr.free_symbols and y in expr.free_symbols:
+                return 'polynomial'  # Treat as polynomial in y if x is absent
+            else:
+                return 'polynomial'  # Default to polynomial if no clear variables
+        except:
+            if 'x**' in cleaned or '^' in latex_str:
+                return 'polynomial'
+            return 'polynomial'  # Fallback to polynomial
+    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:
+        cleaned = clean_latex_expression(latex_str)
+        if '-' in cleaned:
+            cleaned = cleaned.split('-')[0].strip()  # Use left side for polynomial
+
+        expr = sp.sympify(cleaned, evaluate=False)
+        if x not in expr.free_symbols and y not in expr.free_symbols:
+            raise ValueError("No variable (x or y) found in expression")
+        
+        variable = x if x in expr.free_symbols else y
+        degree = sp.degree(expr, variable)
+        if degree < 1 or degree > 8:
+            raise ValueError(f"Polynomial degree {degree} is out of supported range (1-8)")
+
+        poly = sp.Poly(expr, variable)
+        coeffs = [float(poly.coeff_monomial(variable**i)) for i in range(degree, -1, -1)]
+        
+        return {
+            "type": "polynomial",
+            "degree": degree,
+            "coeffs": " ".join(map(str, coeffs)),
+            "latex": latex_str,
+            "success": True,
+            "variable": str(variable)
+        }
+    except Exception as e:
+        logger.error(f"Error extracting polynomial coefficients: {e}")
+        return {
+            "type": "polynomial",
+            "degree": 2,
+            "coeffs": "1 0 0",
+            "latex": latex_str,
+            "success": False,
+            "error": str(e),
+            "variable": "x"
+        }
+
+def extract_linear_system_coefficients(latex_str):
+    """Extract linear system coefficients from LaTeX string"""
+    try:
+        cleaned = clean_latex_expression(latex_str)
+        equations = re.split(r'\\\\|\n|;', latex_str)
+        if len(equations) < 2:
+            equations = re.split(r'(?<=[0-9])\s*(?=[+-]?\s*[0-9]*[xy])', cleaned)
+        
+        if len(equations) < 2 or 'y' not in cleaned or 'x' not in cleaned:
+            raise ValueError("Could not find two equations or two variables (x, y) in system")
+
+        eq1_str = equations[0].strip()
+        eq2_str = equations[1].strip()
+        
+        def parse_linear_eq(eq_str):
+            if '-' not in eq_str:
+                raise ValueError("No equals sign (converted to '-') found")
+            left, right = eq_str.split('-')
+            expr = sp.sympify(left) - sp.sympify(right or '0')
+            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",
+            "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"""
+    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
+            }
+        
+        if isinstance(image_file, str):
+            image = Image.open(image_file)
+        else:
+            image = Image.open(image_file.name)
+        
+        if image.mode != 'RGB':
+            image = image.convert('RGB')
+        
+        logger.info(f"Processing image of size: {image.size}")
+        
+        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}")
+        
+        eq_type = parse_equation_type(result)
+        if eq_type == 'polynomial':
+            return extract_polynomial_coefficients(result)
+        elif eq_type == 'linear_system':
+            return extract_linear_system_coefficients(result)
+        else:
+            return {
+                "type": "error",
+                "latex": f"Unsupported equation type detected: {eq_type}",
+                "success": False
+            }
+    except Exception as e:
+        logger.error(f"Error processing image: {e}")
+        return {
+            "type": "error",
+            "latex": f"Error processing image: {str(e)}",
+            "success": False
+        }
+
+def solve_polynomial(degree, coeff_string, real_only):
+    """Solve polynomial equation"""
+    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 $$
+### Roots {'(Only Real)' if real_only else '(All Roots)'}
+{roots_output}
+        """
+
+        x_vals = np.linspace(-10, 10, 400)
+        y_vals = np.polyval(coeffs, x_vals)
+
+        fig, ax = plt.subplots(figsize=(6, 4))
+        ax.plot(x_vals, y_vals, label="Polynomial", color="blue")
+        ax.axhline(0, color='black', linewidth=0.5)
+        ax.axvline(0, color='black', linewidth=0.5)
+        ax.grid(True)
+        ax.set_title("Graph of the Polynomial")
+        ax.set_xlabel("x")
+        ax.set_ylabel("f(x)")
+        ax.legend()
+
+        return steps_output, fig, ""
+    except Exception as e:
+        return f"❌ Error: {e}", None, ""
+
+def solve_linear_system_from_coeffs(eq1_str, eq2_str):
+    """Solve linear system"""
+    try:
+        coeffs1 = list(map(float, eq1_str.strip().split()))
+        coeffs2 = list(map(float, eq2_str.strip().split()))
+
+        if len(coeffs1) != 3 or len(coeffs2) != 3:
+            return "⚠️ Please enter exactly 3 coefficients for each equation.", None, None, None
+
+        a1, b1, c1 = coeffs1
+        a2, b2, c2 = coeffs2
+
+        eq1 = sp.Eq(a1 * x + b1 * y, c1)
+        eq2 = sp.Eq(a2 * x + b2 * y, c2)
+
+        sol = sp.solve([eq1, eq2], (x, y), dict=True)
+        if not sol:
+            return "❌ No unique solution.", None, None, None
+
+        solution = sol[0]
+        eq_latex = f"$$ {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 Linear System")
+        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 "❌ Single linear equation not supported. Please upload a system of equations.", None, ""
+    elif eq_data["type"] == "linear_system":
+        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 gr.Tab("Image Upload Solver"):
+        gr.Markdown("## Solve Equations from Image")
+        
+        with gr.Row():
+            image_input = gr.File(
+                label="Upload Question Image",
+                file_types=[".pdf", ".png", ".jpg", ".jpeg"],
+                file_count="single"
+            )
+            image_upload_btn = gr.Button("Process Image")
+        
+        gr.Markdown("**Supported Formats:** .pdf, .png, .jpg, .jpeg")
+
+        with gr.Row():
+            real_image_checkbox = gr.Checkbox(label="Show Only Real Roots (for Polynomials)", value=False)
+            preview_image_btn = gr.Button("Preview Equation")
+
+        image_equation_display = gr.Markdown()
+        
+        with gr.Row():
+            confirm_image_btn = gr.Button("Display Solution", visible=False)
+            edit_image_btn = gr.Button("Make Changes Manually", visible=False)
+
+        edit_latex_input = gr.Textbox(label="Edit LaTeX Equation", visible=False, lines=3)
+        save_edit_btn = gr.Button("Save Changes", visible=False)
+
+        image_steps_md = gr.Markdown()
+        image_plot_output = gr.Plot()
+        extracted_eq_state = gr.State()
+
+        def handle_image_upload(image_file):
+            """Handle image upload and initial processing"""
+            if image_file is None:
+                return "", None, "", None, None
+            
+            try:
+                eq_data = extract_equation_from_image(image_file)
+                if eq_data["success"]:
+                    return "", eq_data, "", None, None
+                else:
+                    return "", eq_data, "", None, None
+            except Exception as e:
+                return "", None, "", None, None
+
+        image_upload_btn.click(
+            fn=handle_image_upload,
+            inputs=[image_input],
+            outputs=[image_equation_display, extracted_eq_state, image_steps_md, 
+                    image_plot_output, edit_latex_input]
+        )
+
+        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)
+            
+            if eq_data["type"] == "polynomial":
+                eq_type_display = "Polynomial Equation"
+            elif eq_data["type"] == "linear_system":
+                eq_type_display = "Linear System"
+            else:
+                eq_type_display = "Unknown Equation Type"
+
+            preview_text = f"""
+### ✅ Confirm {eq_type_display}
+**Extracted LaTeX:** {eq_data['latex']}
+            """
+            
+            return (preview_text, gr.update(visible=True), gr.update(visible=True), "", None)
+
+        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, ""
+            
+            try:
+                steps, plot, error = solve_extracted_equation(eq_data, real_only)
+                return steps, plot, ""
+            except Exception as e:
+                return f"❌ Error solving equation: {str(e)}", None, ""
+
+        confirm_image_btn.click(
+            fn=confirm_image_solution,
+            inputs=[extracted_eq_state, real_image_checkbox],
+            outputs=[image_steps_md, image_plot_output, image_equation_display]
+        )
+
+        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))
+
+        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, ""
+                
+                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)
+                elif eq_type == 'linear_system':
+                    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"])
+                else:
+                    return "❌ Unsupported equation type", None, ""
+                
+                return steps, plot, ""
+            except Exception as e:
+                return f"❌ Error parsing manual input: {str(e)}", None, ""
+
+        save_edit_btn.click(
+            fn=save_manual_changes,
+            inputs=[edit_latex_input, real_image_checkbox],
+            outputs=[image_steps_md, image_plot_output, image_equation_display]
+        )
+
+    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, extracted_eq_state)

linear.py

@@ -0,0 +1,134 @@
+import gradio as gr
+import sympy as sp
+import numpy as np
+import matplotlib.pyplot as plt
+import random
+
+x, y = sp.symbols('x y')
+
+def generate_linear_template():
+    return "$$ a_1x + b_1y = c_1 \\ a_2x + b_2y = c_2 $$"
+
+def load_linear_example():
+    examples = [
+        ("1 -4 -2", "5 1 9"),
+        ("2 1 8", "1 -1 2"),
+        ("3 2 12", "1 1 5"),
+        ("4 -1 3", "2 3 6"),
+        ("1 2 10", "3 -1 5")
+    ]
+    return random.choice(examples)
+
+def solve_linear_system_from_coeffs(eq1_str, eq2_str):
+    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 Linear System")
+        ax.grid(True)
+
+        return eq_latex, steps, fig, ""
+    except Exception as e:
+        return f"❌ Error: {e}", None, None, None
+
+def linear_tab():
+    with gr.Tab("Linear System Solver"):
+        gr.Markdown("## Solve 2x2 Linear System")
+        linear_template = gr.Markdown(value=generate_linear_template())
+
+        with gr.Row():
+            linear_eq1_input = gr.Textbox(label="Equation 1 Coefficients (a1 b1 c1)", placeholder="e.g. 2 1 8")
+            linear_eq2_input = gr.Textbox(label="Equation 2 Coefficients (a2 b2 c2)", placeholder="e.g. 1 -1 2")
+
+        linear_example_btn = gr.Button("Load Example")
+        preview_button = gr.Button("Preview Equations")
+
+        linear_equation_display = gr.Markdown()
+        with gr.Row():
+            confirm_btn = gr.Button("Display Solution", visible=False)
+            cancel_btn = gr.Button("Make Changes in Equation", visible=False)
+
+        linear_steps_md = gr.Markdown()
+        linear_plot = gr.Plot()
+        linear_error = gr.Textbox(visible=False)
+
+        def update_example():
+            eq1, eq2 = load_linear_example()
+            return eq1, eq2
+
+        linear_example_btn.click(fn=update_example, inputs=[], outputs=[linear_eq1_input, linear_eq2_input])
+
+        def preview_equations(eq1_str, eq2_str):
+            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.", gr.update(visible=False), gr.update(visible=False)
+                a1, b1, c1 = coeffs1
+                a2, b2, c2 = coeffs2
+                eq1 = sp.Eq(a1 * x + b1 * y, c1)
+                eq2 = sp.Eq(a2 * x + b2 * y, c2)
+                eq_latex = f"### ✅ Confirm Equations\n\n$$ {sp.latex(eq1)} \\\\ {sp.latex(eq2)} $$"
+                return eq_latex, gr.update(visible=True), gr.update(visible=True)
+            except Exception as e:
+                return f"❌ Error parsing equations: {e}", gr.update(visible=False), gr.update(visible=False)
+
+        preview_button.click(
+            fn=preview_equations,
+            inputs=[linear_eq1_input, linear_eq2_input],
+            outputs=[linear_equation_display, confirm_btn, cancel_btn]
+        )
+
+        cancel_btn.click(
+            fn=lambda: (gr.update(visible=False), gr.update(visible=False), "", None, None),
+            outputs=[confirm_btn, cancel_btn, linear_equation_display, linear_steps_md, linear_plot]
+        )
+
+        confirm_btn.click(
+            fn=solve_linear_system_from_coeffs,
+            inputs=[linear_eq1_input, linear_eq2_input],
+            outputs=[linear_equation_display, linear_steps_md, linear_plot, linear_error]
+        )

polynomial.py

@@ -0,0 +1,158 @@
+import gradio as gr
+import sympy as sp
+import numpy as np
+import matplotlib.pyplot as plt
+
+# Define symbolic variable for polynomial operations
+x = sp.symbols('x')
+
+# Function to generate a LaTeX template for a polynomial based on its degree
+def generate_polynomial_template(degree):
+    terms = [f"a_{{{i}}}x^{degree - i}" for i in range(degree)]
+    terms.append(f"a_{{{degree}}}")
+    return "$$" + " + ".join(terms) + " = 0$$"
+
+# Function to load example coefficients for a given polynomial degree
+def load_poly_example(degree):
+    examples = {
+        1: "3 9",
+        2: "1 -3 2",
+        3: "1 -6 11 -6",
+        4: "1 0 -5 0 4",
+        5: "1 -9 3 8 1 8",
+        6: "1 -9 3 8 1 8 3",
+        7: "1 -9 3 8 1 8 6 2",
+        8: "1 -9 3 8 1 8 2 3 7"
+    }
+    return examples.get(degree, "")
+
+# Function to solve the polynomial equation and generate a graph
+def solve_polynomial(degree, coeff_string, real_only):
+    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, ""
+
+# Function to create the Polynomial Solver tab with Gradio components
+def polynomial_tab():
+    with gr.Tab("Polynomial Solver"):
+        # Row for displaying the equation template and real roots checkbox
+        with gr.Row():
+            template_display = gr.Markdown(value=generate_polynomial_template(2))
+            real_checkbox = gr.Checkbox(label="Show Only Real Roots", value=False)
+
+        # Row for selecting the polynomial degree and entering coefficients
+        with gr.Row():
+            degree_slider = gr.Slider(1, 8, value=2, step=1, label="Select Degree of Polynomial Equation")
+            coeff_input = gr.Textbox(label="Enter Coefficients (space-separated)", placeholder="e.g. 1 -3 2")
+
+        # Row for example and preview buttons
+        with gr.Row():
+            example_btn = gr.Button("Load Example")
+            preview_poly_button = gr.Button("Preview Equation")
+
+        # Row for displaying the confirmed equation
+        with gr.Row():
+            poly_equation_display = gr.Markdown()
+
+        # Row for confirm and cancel buttons
+        with gr.Row():
+            confirm_poly_btn = gr.Button("Display Solution", visible=False)
+            cancel_poly_btn = gr.Button("Make Changes in Equation", visible=False)
+
+        # Markdown component to display step-by-step solution
+        steps_md = gr.Markdown()
+
+        # Plot component to display the polynomial graph
+        plot_output = gr.Plot()
+
+        # Textbox to display errors (initially hidden)
+        error_box = gr.Textbox(visible=False)
+
+        # Function to preview the polynomial equation based on user input
+        def preview_polynomial(degree, coeff_string, real_only):
+            try:
+                coeffs = list(map(float, coeff_string.strip().split()))
+                if len(coeffs) != degree + 1:
+                    return f"⚠️ Please enter exactly {degree + 1} coefficients.", gr.update(visible=False), gr.update(visible=False), "", None
+                poly = sum([coeffs[i] * x**(degree - i) for i in range(degree + 1)])
+                eq_latex = f"### ✅ Confirm Polynomial\n\n$$ {sp.latex(poly)} = 0 $$"
+                return eq_latex, gr.update(visible=True), gr.update(visible=True), "", None
+            except Exception as e:
+                return f"❌ Error parsing coefficients: {e}", gr.update(visible=False), gr.update(visible=False), "", None
+
+        # Event handler for preview button click
+        preview_poly_button.click(
+            fn=preview_polynomial,
+            inputs=[degree_slider, coeff_input, real_checkbox],
+            outputs=[poly_equation_display, confirm_poly_btn, cancel_poly_btn, steps_md, plot_output]
+        )
+
+        # Function to handle cancellation of the preview
+        def cancel_poly():
+            return gr.update(visible=False), gr.update(visible=False), "", "", None
+
+        # Event handler for cancel button click
+        cancel_poly_btn.click(
+            fn=cancel_poly,
+            inputs=[],
+            outputs=[confirm_poly_btn, cancel_poly_btn, poly_equation_display, steps_md, plot_output]
+        )
+
+        # Event handler for confirm button click to solve and display results
+        confirm_poly_btn.click(
+            fn=solve_polynomial,
+            inputs=[degree_slider, coeff_input, real_checkbox],
+            outputs=[steps_md, plot_output, error_box]
+        )
+
+        # Event handler to update the template when the degree slider changes
+        degree_slider.change(fn=generate_polynomial_template, inputs=degree_slider, outputs=template_display)
+
+        # Event handler to load an example when the example button is clicked
+        example_btn.click(fn=load_poly_example, inputs=degree_slider, outputs=coeff_input)
+
+        # Initialize the template display with the default degree (2) on load
+        template_display.value = generate_polynomial_template(2)
+
+    return template_display, real_checkbox, degree_slider, coeff_input, example_btn, preview_poly_button, poly_equation_display, confirm_poly_btn, cancel_poly_btn, steps_md, plot_output, error_box