Update app.py

app.py

@@ -18,7 +18,6 @@ def clean_latex(latex):
     latex = latex.replace('\\ ', '')
     latex = latex.replace('\\\\', '\\')
     latex = re.sub(r'\\[ \t\n\r\f\v]*', '', latex)
-
     latex = re.sub(r'\\([+\-=])', r'\1', latex)
 
     replacements = {
@@ -45,7 +44,6 @@ def clean_latex(latex):
     latex = latex.replace('{', '').replace('}', '')
     latex = latex.strip().rstrip(',.')
     latex = re.sub(r'(?<![a-zA-Z0-9])e(?![a-zA-Z0-9])', 'E', latex)
-
     latex = re.sub(r'(\d)([a-zA-Z])', r'\1*\2', latex)
     latex = re.sub(r'(\d+)\s*i', r'\1*I', latex)
     latex = re.sub(r'(?<![a-zA-Z0-9])i(?![a-zA-Z0-9])', 'I', latex)
@@ -58,7 +56,6 @@ def clean_latex(latex):
     if '=' not in latex:
         latex += '=0'
 
-    # ✅ Final replacements to force real constants
     latex = latex.replace('pi', '3.1416')
     latex = latex.replace('e', '2.7183')
 
@@ -98,7 +95,6 @@ def solve_polynomial(image, llm_url):
 
         try:
             expr = parse_latex(cleaned_latex)
-            # ✅ Force numeric substitution even if pi/E not in free_symbols
             expr = expr.subs(sp.pi, sp.Float(3.1416)).subs(sp.E, sp.Float(2.7183))
 
             if not isinstance(expr, sp.Equality):
@@ -115,7 +111,6 @@ def solve_polynomial(image, llm_url):
             cleaned_latex = clean_latex(fixed_latex)
             try:
                 expr = parse_latex(cleaned_latex)
-                # ✅ Apply again after fallback
                 expr = expr.subs(sp.pi, sp.Float(3.1416)).subs(sp.E, sp.Float(2.7183))
 
                 if not isinstance(expr, sp.Equality):
@@ -174,7 +169,6 @@ def solve_polynomial(image, llm_url):
     except Exception as e:
         return f"❌ **Error**: {str(e)}", "", ""
 
-
 # Gradio UI
 with gr.Blocks() as demo:
     llm_url = gr.Textbox(label="🔗 Enter LLM Microservice URL (from Colab)", placeholder="https://xxxx.ngrok-free.app")