Python | Sympy encloses_point() method

Python | Sympy encloses_point() method

In sympy, the encloses_point() method is used to determine whether a given point lies inside a certain geometric region or not.

To use encloses_point() with Sympy, here's a basic step-by-step process:

  1. Define the geometric objects.
  2. Use the encloses_point() method to check if the point lies within the region defined by the geometric object.

For instance, let's consider a simple example with a circle and a point:

from sympy import Point, Circle # Define the center and the radius of the circle center = Point(0, 0) radius = 5 circle = Circle(center, radius) # Define a point p1 = Point(1, 1) p2 = Point(6, 6) # Check if the point is inside the circle is_inside_p1 = circle.encloses_point(p1) is_inside_p2 = circle.encloses_point(p2) print(f"Point {p1} is inside the circle: {is_inside_p1}") print(f"Point {p2} is inside the circle: {is_inside_p2}")

The output will be:

Point Point2D(1, 1) is inside the circle: True Point Point2D(6, 6) is inside the circle: False

In this example, the point (1, 1) lies within the circle, while the point (6, 6) lies outside of it.

Similarly, the encloses_point() method can be used with other geometric regions in sympy to check if a given point lies inside that region or not.

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