choclo.utils.distance_cartesian

choclo.utils.distance_cartesian#

choclo.utils.distance_cartesian(easting_p, northing_p, upward_p, easting_q, northing_q, upward_q)[source]#

Euclidean distance between two points given in Cartesian coordinates

Warning

All coordinates should be in the same units.

Parameters:
easting_pfloat

Easting coordinate of point \(\mathbf{p}\).

northing_pfloat

Northing coordinate of point \(\mathbf{p}\).

upward_pfloat

Upward coordinate of point \(\mathbf{p}\).

easting_qfloat

Easting coordinate of point \(\mathbf{q}\).

northing_qfloat

Northing coordinate of point \(\mathbf{q}\).

upward_qfloat

Upward coordinate of point \(\mathbf{q}\).

Returns:
distancefloat

Euclidean distance between point_p and point_q.

Notes

Given two points \(\mathbf{p} = (x_p, y_p, z_p)\) and \(\mathbf{q} = (x_q, y_q, z_q)\) defined in a Cartesian coordinate system \((x, y, z)\), return the Euclidean (L2) distance between them:

\[d = \sqrt{(x_p - x_q)^2 + (y_p - y_q)^2 + (z_p - z_q)^2}\]