pythagoras.vector module

class pythagoras.vector.Vector(x: float, y: float)

Bases: object

Two-dimensional vector with common operations.

Variables:

• x (float) – \(x\) component of the vector.

• y (float) – \(y\) component of the vector.

classmethod from_two_points(p1: tuple[float, float], p2: tuple[float, float]) → Self

Constructor for the vector that joins two points.

Parameters:

• p1 – Initial point.

• p2 – End point.

Returns:

The vector that goes from p1 to p2.

property perp: Self

Orthogonal complement (the vector after the map \((x, y) \mapsto (-y, x)\)).

classmethod polar(r: float, theta: float) → Self

Constructs a vector expressed in polar coordinates.

Parameters:

• r – Magnitude of the vector.

• theta – Angle with respect to the positive \(x\)-axis.

Returns:

The corresponding vector.

property unitary: Self

Vector normalized to have unit norm.

x: float

y: float

pythagoras.vector.dist(p1: tuple[float, float], p2: tuple[float, float]) → float

Computes the Euclidean distance between two points in \(\mathbf R^2\).

Parameters:

• p1 – First point.

• p2 – Second point.