Update app.py

app.py

@@ -4,37 +4,22 @@ import sympy as sp
 # Function to solve algebraic equations
 def solve_equation(equation):
     try:
-        # Check if the equation contains "="
         if "=" not in equation:
             return "Invalid input. Please enter an equation with '=' (e.g., 2*x + 3 = 5)."
-        
-        # Replace '^' with '**' for exponentiation (common in math inputs)
         equation = equation.replace("^", "**")
-        
-        # Remove unwanted spaces and handle possible unexpected formatting
         equation = equation.replace(" ", "")
-        
-        # Split the equation at the equal sign
         lhs, rhs = equation.split("=")
-        
-        # Use sympy to parse the left and right hand sides of the equation
         lhs_expr = sp.sympify(lhs)
         rhs_expr = sp.sympify(rhs)
-        
-        # Solve the equation lhs = rhs
         solution = sp.solve(lhs_expr - rhs_expr)
-        
         return f"Solution: {solution}"
-    
     except Exception as e:
         return f"Error: {e}"
 
 # Function to simplify expressions
 def simplify_expression(expression):
     try:
-        # Replace '^' with '**' for exponentiation
         expression = expression.replace("^", "**")
-        
         expr = sp.sympify(expression)
         simplified_expr = sp.simplify(expr)
         return f"Simplified Expression: {simplified_expr}"
@@ -44,9 +29,7 @@ def simplify_expression(expression):
 # Function to factor expressions
 def factor_expression(expression):
     try:
-        # Replace '^' with '**' for exponentiation
         expression = expression.replace("^", "**")
-        
         expr = sp.sympify(expression)
         factored_expr = sp.factor(expr)
         return f"Factored Expression: {factored_expr}"
@@ -79,12 +62,61 @@ def find_factors(number):
             factors.append(i)
     return factors
 
+# Function to calculate the derivative of an expression
+def calculate_derivative(expression):
+    try:
+        expression = expression.replace("^", "**")
+        expr = sp.sympify(expression)
+        derivative = sp.diff(expr)
+        return f"Derivative: {derivative}"
+    except Exception as e:
+        return f"Error: {e}"
+
+# Function to calculate the integral of an expression
+def calculate_integral(expression):
+    try:
+        expression = expression.replace("^", "**")
+        expr = sp.sympify(expression)
+        integral = sp.integrate(expr)
+        return f"Integral: {integral}"
+    except Exception as e:
+        return f"Error: {e}"
+
+# Function to calculate basic trigonometric functions
+def calculate_trigonometry(expression):
+    try:
+        expression = expression.replace("^", "**")
+        expr = sp.sympify(expression)
+        trig_value = sp.sin(expr), sp.cos(expr), sp.tan(expr)
+        return f"Sine: {trig_value[0]}, Cosine: {trig_value[1]}, Tangent: {trig_value[2]}"
+    except Exception as e:
+        return f"Error: {e}"
+
+# Function for linear algebra operations
+def linear_algebra_operations(operation, matrix1, matrix2=None):
+    try:
+        matrix1 = sp.Matrix(matrix1)
+        if matrix2:
+            matrix2 = sp.Matrix(matrix2)
+
+        if operation == "multiply":
+            result = matrix1 * matrix2
+        elif operation == "determinant":
+            result = matrix1.det()
+        elif operation == "inverse":
+            result = matrix1.inv()
+        return f"Result: {result}"
+    except Exception as e:
+        return f"Error: {e}"
+
 # Streamlit Interface
 def main():
     st.title("Math Problem-Solution App")
 
     # Tabs for different functionalities
-    tab = st.radio("Select a problem type:", ["Solve Algebraic Equation", "Simplify Expression", "Factor Expression", "Solve Word Problem", "Find Factors of a Number"])
+    tab = st.radio("Select a problem type:", ["Solve Algebraic Equation", "Simplify Expression", "Factor Expression", 
+                                              "Solve Word Problem", "Find Factors of a Number", "Derivative", "Integral", 
+                                              "Trigonometry", "Linear Algebra"])
 
     if tab == "Solve Algebraic Equation":
         st.header("Solve Algebraic Equation")
@@ -135,6 +167,53 @@ def main():
             else:
                 st.write("Please enter a number!")
 
+    elif tab == "Derivative":
+        st.header("Calculate Derivative")
+        derivative_input = st.text_input("Enter an expression to differentiate (e.g., x^2 + 3*x)", "")
+        if st.button("Calculate Derivative"):
+            if derivative_input:
+                derivative = calculate_derivative(derivative_input)
+                st.write(derivative)
+            else:
+                st.write("Please enter an expression!")
+
+    elif tab == "Integral":
+        st.header("Calculate Integral")
+        integral_input = st.text_input("Enter an expression to integrate (e.g., x^2 + 3*x)", "")
+        if st.button("Calculate Integral"):
+            if integral_input:
+                integral = calculate_integral(integral_input)
+                st.write(integral)
+            else:
+                st.write("Please enter an expression!")
+
+    elif tab == "Trigonometry":
+        st.header("Trigonometric Functions")
+        trig_input = st.text_input("Enter an angle (in radians) for sine, cosine, tangent (e.g., pi/4)", "")
+        if st.button("Calculate Trigonometry"):
+            if trig_input:
+                trig_result = calculate_trigonometry(trig_input)
+                st.write(trig_result)
+            else:
+                st.write("Please enter an angle!")
+
+    elif tab == "Linear Algebra":
+        st.header("Linear Algebra Operations")
+        operation = st.selectbox("Choose an operation:", ["multiply", "determinant", "inverse"])
+        matrix1_input = st.text_area("Enter the first matrix (e.g., [[1,2],[3,4]])", "")
+        matrix2_input = None
+        if operation == "multiply":
+            matrix2_input = st.text_area("Enter the second matrix (e.g., [[5,6],[7,8]])", "")
+
+        if st.button("Perform Operation"):
+            if matrix1_input:
+                matrix1 = eval(matrix1_input)
+                matrix2 = eval(matrix2_input) if matrix2_input else None
+                result = linear_algebra_operations(operation, matrix1, matrix2)
+                st.write(result)
+            else:
+                st.write("Please enter a matrix!")
+
 # Run the app
 if __name__ == "__main__":
     main()