distance_line_line

compas.geometry.distance_line_line(l1, l2, tol=0.0)[source]

Compute the shortest distance between two lines.

Parameters

• l1 (tuple) – Two points defining a line.

• l2 (tuple) – Two points defining a line.

Returns

float – The distance between the two lines.

Notes

The distance is the absolute value of the dot product of a unit vector that is perpendicular to the two lines, and the vector between two points on the lines (1, 2).

If each of the lines is defined by two points (\(l_1 = (\mathbf{x_1}, \mathbf{x_2})\), \(l_2 = (\mathbf{x_3}, \mathbf{x_4})\)), then the unit vector that is perpendicular to both lines is…

References

1

Weisstein, E.W. Line-line Distance. Available at: http://mathworld.wolfram.com/Line-LineDistance.html.

2

Wikipedia. Skew lines Distance. Available at: https://en.wikipedia.org/wiki/Skew_lines#Distance.

Examples

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