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

  • northing_p (float) – Northing coordinate of point \(\mathbf{p}\).

  • upward_p (float) – Upward coordinate of point \(\mathbf{p}\).

  • easting_q (float) – Easting coordinate of point \(\mathbf{q}\).

  • northing_q (float) – Northing coordinate of point \(\mathbf{q}\).

  • upward_q (float) – Upward coordinate of point \(\mathbf{q}\).

Returns:

distance (float) – 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:

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