import matplotlib.pyplot as plt

import numpy as np





class Quadratic:

    """Representing a quadratic expression in the form of ax² + bx + c"""

    

    def __init__(self,a : float, b : float, c : float) -> None:

        # A class is created succesfully if the arguments of the class are either of float type or int type

        if (type(a) == type(0.1) or type(a) == type(1)) and (type(b) == type(0.1) or type(b) == type(1)) and (type(c) == type(0.1) or type(c) == type(1)):

            self.a = a

            self.b = b

            self.c = c

        else:

            raise ValueError("Argument must be of type int or float")

    

    def __repr__(self) -> str:

        """ Printing a quadratic class """

        return "Quad( {0}x² + {1}x + {2} )".format(self.a,self.b,self.c)

    

    def solveQuad(self) -> tuple[float,float]:

        """Solving the expression assuming it is equal to 0. 

        returns a tuple of 2 values"""



        determinant = ((self.b ** 2) - (4 * self.a * self.c)) ** 0.5 # The determinant of a quadratic equation is the root of b² - 4ac

        firstSolution = ((-1 * self.b) + determinant) / (2 * self.a)

        secondSolution = ((-1 * self.b) - determinant) / (2 * self.a)

        return (firstSolution,secondSolution)

    

    def evaluate(self, value):

        """Evaluate the Quadratic expression. with x in ax² + bx + c as a numeric type"""

        solution = ((self.a * (value ** 2)) + (self.b * value) + self.c)

        return solution

    

    def drawFigure(self):

        """Draws a quadratic graph of the quadratic expression and returns a matplotlib figure"""

        x_axis = np.linspace(-10,10,50)

        y_axis = self.evaluate(x_axis)

        

        figure, axes = plt.subplots()

        

        axes.plot(x_axis,y_axis, linewidth = 1)

        axes.grid(visible = True)

        axes.set_title(self)

        axes.xaxis.set_minor_formatter(str(x_axis))

        return figure