Point¶

class geometry.Point¶

Represents a 2D point in space, consisting of an x- and a y-coordinate

>>> Point(10, 20)
(10, 20)

Vector is an alias for the Point type

>>> Vector(4, 5)
(4, 5)

This class is implemented as a NamedTuple. This means:

You can use it like a tuple

>>> Point(4, 5)[0]
4

Its fields are named

>>> Point(4, 5).x
4
>>> Point(4, 5).y
5

It is immutable

>>> p = Point(4, 5)
>>> p[0] = 0
Traceback (most recent call last):
...
TypeError: 'Point' object does not support item assignment

Create new instance of Point(x, y)

__add__(point: geometry.point.Point) → geometry.point.Point¶

Add two points component wise

>>> Point(10, 20) + Point(100, 200)
(110, 220)

__sub__(point: geometry.point.Point) → geometry.point.Point¶

Subtract two points component wise

>>> Point(10, 20) - Point(1, 2)
(9, 18)

__mul__(factor: Union[int, float]) → geometry.point.Point¶

Multiply a point with a factor

>>> Point(2, 3) * 4
(8, 12)

__rmul__(factor: Union[int, float]) → geometry.point.Point¶

Multiply a point with a factor from the left

>>> 4 * Point(2, 3)
(8, 12)

__floordiv__(factor: Union[int, float]) → geometry.point.Point¶

Divide the components of a point by a factor (floor division)

>>> Point(2, 3) // 2
(1, 1)

__truediv__(factor: Union[int, float]) → geometry.point.Point¶

Divide the components of a point by a factor

>>> Point(2, 3) / 2
(1.0, 1.5)

__matmul__(other: geometry.point.Point) → Union[int, float]¶

Multiply two points (dot product)

>>> Point(1, 2) @ Point(2, 3)
8

__neg__() → geometry.point.Point¶

Negate the components of a point

>>> -Point(1, 2)
(-1, -2)

__abs__() → Union[int, float]¶

The absolute value of a point: the length of the point

>>> abs(Point(3, 4))
5.0

property yx¶

Transpose a point, i.e. flip x and y

>>> Point(1, 2).yx
(2, 1)

property length¶

The length of the point

>>> Point(3, 4).length
5.0

property normalized¶

Return a copy of the point with the same direction but length 1.0

>>> Point(1, 1).normalized
(0.707..., 0.707...)

Simple Geometry