Update solver.py

solver.py

@@ -4,20 +4,50 @@ from sympy.solvers import solve
 from sympy import integrate, diff, simplify, expand, log, exp, sin, cos, tan, asin, acos, atan, Symbol, factorial, laplace_transform
 import re
 def format_expression(expr):
-    """Format expression to make it more readable."""
-    # Convert string representation to a more readable format
     str_expr = str(expr)
     replacements = {
-        '**': '^',
-        '*x': 'x',
-        'exp': 'e^',
-        'sqrt': '√',
-        'factorial': '!'
+        '**': '^',  # Power notation
+        '*x': 'x',  # Remove unnecessary multiplication signs
+        '*(': '(',  # Remove multiplication before parentheses
+        'exp': 'e^',  # Exponential notation
+        'sqrt': '√',  # Square root
+        'factorial': '!',  # Factorial symbol
+        'gamma': 'Γ',  # Gamma function
+        'Gamma': 'Γ',  # Sometimes SymPy capitalizes it
+        'fresnels': 'S',  # Fresnel S integral
+        'fresnelc': 'C',  # Fresnel C integral
+        'hyper': '₁F₂',  # Generalized hypergeometric function
+        'log': 'ln',  # Natural logarithm
+        'oo': '∞',  # Infinity symbol
+        'pi': 'π',  # Pi symbol
+        'E': 'ℯ',  # Euler's constant
+        'I': '𝒊',  # Imaginary unit
+        'Abs': '|',  # Absolute value
+        'Integral': '∫',  # Integral symbol
+        'Derivative': 'd/dx',  # Differentiation
+        'Sum': 'Σ',  # Summation symbol
+        'Product': '∏',  # Product symbol
+        'sin': 'sin', 'cos': 'cos', 'tan': 'tan',  # Trig functions (unchanged)
+        'asin': 'sin⁻¹', 'acos': 'cos⁻¹', 'atan': 'tan⁻¹',  # Inverse trig
+        'sinh': 'sinh', 'cosh': 'cosh', 'tanh': 'tanh',  # Hyperbolic trig
+        'asinh': 'sinh⁻¹', 'acosh': 'cosh⁻¹', 'atanh': 'tanh⁻¹',  # Inverse hyperbolic trig
+        'diff': 'd/dx',  # Derivative notation
+        'integrate': '∫',  # Integral notation
+        'Limit': 'lim',  # Limit notation
+        'floor': '⌊',  # Floor function
+        'ceiling': '⌈',  # Ceiling function
+        'mod': 'mod',  # Modulus (unchanged)
+        'Re': 'ℜ',  # Real part
+        'Im': 'ℑ'  # Imaginary part
     }
     for old, new in replacements.items():
         str_expr = str_expr.replace(old, new)
     return str_expr
 
+    for old, new in replacements.items():
+        str_expr = str_expr.replace(old, new)
+    return str_expr
+
 def preprocess_equation(equation_str):
     """Convert user-friendly equation format to SymPy format."""
     try: