intersection_sphere_line
- compas.geometry.intersection_sphere_line(sphere, line)[source]
Computes the intersection of a sphere and a line.
- Parameters
- Returns
tuple[[float, float, float], [float, float, float]] | [float, float, float] | None – Two points (if the line goes through the sphere), one point (if the line is tangent to the sphere), or None (otherwise).
Notes
There are 3 cases of sphere-line intersection:
they intersect in 2 points
they intersect in 1 point (line tangent to sphere), or
they do not intersect.
Examples
>>> from compas.geometry import allclose
>>> sphere = (3.0, 7.0, 4.0), 10.0 >>> line = (1.0, 0, 0.5), (2.0, 1.0, 0.5) >>> x1, x2 = intersection_sphere_line(sphere, line)
>>> allclose(x1, [11.634, 10.634, 0.500], 1e-3) True >>> allclose(x2, [-0.634, -1.634, 0.50], 1e-3) True