path_arc_3p3-point arcs |
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local arc_3p = require'path_arc_3p'
Math for 2D 3-point circular arcs defined as:
x1, y1, xp, yp, x2, y2
where (x1, y1)
, (xp, yp)
and (x2, y2)
are the arc's endpoints.
arc_3p.to_arc(x1, y1, xp, yp, x2, y2) ->
cx, cy, rx, ry, start_angle, sweep_angle, rotation, x2, y2
Convert a 3-point arc an elliptic arc.
If the endpoints conicide are collinear then the parametrization is invalid and nothing is returned.
arc_3p.split(t, x1, y1, xp, yp, x2, y2) ->
x11, y11, x1p, y1p, x22, y22
x21, y21, x2p, y2p, x22, y22
Split a 3-point arc at time t
into two arcs.
See also: path_arc