Expending the SymPy Library

SymPy is a Python library for symbolic mathematics. This project aims to expend the liabrary functionality by implementing Parabola and Hyperbola classes. The project is written entirely in Python.

Hyperbola Features

class Hyperbola (hradius=None, vradius=None, centre=None, angle=None, 
                eccentricity=None, foci=None, focus_distance=None)

Parameters:

• Eccentricity: number, Optional
• Foci: List, Optional
• Focus_distance: number, Optional
• Hradious: number or SymPy expression
• Vradious: number or SymPy expression
• Angle: number Rotates a function. Default value is 0 rad.
• Centre: Point, optional Default value is Point(0, 0).

Methods

equation(x=None, y=None, expression=False): Returns the equation of hyperbola using given symbols. If expression is true the equation has regular type, otherwise it is canonical.

asymptote(x=None, y=None): Returns a set of hyperbola asymptotes using given symbols.

order_point(x1=1, y1=1): Return True if the point belongs to Hyperbola, else - return False.

random_point(): Returns a random point, which belongs to Hyperbola.

scale(x1=1, y1=1): Scales hyperbola within geven parameters.

draw(xmin=1, xmax=2, ymin=1, ymax=2): Draws function with asymptotes in the given range.

rotate(a=0): Changes the parameter angle.

move(x1=0, y1=0): Changes the parameter centre.

All methods will be automatically recalculated if the angle or centre were changed.

Parabola Features

class Parabola (focus=None, direct=None, semilatus=None, 
                angle=None, eccentricity=None)

Parameters:

• Direct : SymPy expression
• Focus: number
• Semilatus: number
• Eccentricity: number, Optional
• Angle: number, Optional Rotates a function. Default value is 0 rad.

Methods

equation(x=None, y=None, expression=False): Returns the equation of hyperbola using given symbols. If expression is true the equation has regular type, otherwise it is canonical.

scale(x1=1): Scales hyperbola within a geven parameter.

random_point(): Returns a random point, which belongs to Parabola.

draw(): Draws a function.

rotate(a=0): Changes the parameter angle.

All methods will be automatically recalculated if the angle or centre were changed.