skspatial.objects.Plane.cartesian

Plane.cartesian() → Tuple[int64, int64, int64, int64]

Return the coefficients of the Cartesian equation of the plane.

The equation has the form ax + by + cz + d = 0.

Returns:

tuple

Coefficients a, b, c, d.

Raises:

ValueError

If the plane dimension is higher than 3.

Examples

>>> from skspatial.objects import Plane

>>> Plane(point=[1, 1], normal=[1, 0]).cartesian()
(np.int64(1), np.int64(0), np.int64(0), np.int64(-1))

>>> Plane(point=[1, 2, 0], normal=[0, 0, 1]).cartesian()
(np.int64(0), np.int64(0), np.int64(1), np.int64(0))

>>> Plane(point=[1, 2, 8], normal=[0, 0, 5]).cartesian()
(np.int64(0), np.int64(0), np.int64(5), np.int64(-40))

>>> Plane(point=[4, 9, -1], normal=[10, 2, 4]).cartesian()
(np.int64(10), np.int64(2), np.int64(4), np.int64(-54))

>>> Plane([0, 0, 0, 0], [1, 0, 0, 0]).cartesian()
Traceback (most recent call last):
...
ValueError: The plane dimension must be <= 3.