def add_bezier3p(path: Path, curves: Iterable[Bezier3P]) -> None:
""" Add multiple quadratic Bèzier-curves to the given `path`.
Auto-detect the connection point to the given `path`, if neither the start-
nor the end point of the curves is close to the path end point, a line from
the path end point to the start point of the first curve will be added
automatically.
.. versionchanged:: 0.16.2
add linear Bézier curve segments as LINE_TO commands
"""
curves = list(curves)
if not len(curves):
return
end = curves[-1].control_points[-1]
if path.end.isclose(end):
# connect to new curves end point
curves = reverse_bezier_curves(curves)
for curve in curves:
start, ctrl, end = curve.control_points
if not start.isclose(path.end, abs_tol=1e-9):
path.line_to(start)
# add linear bezier segments as LINE_TO commands
if start.isclose(ctrl, abs_tol=1e-9) or end.isclose(ctrl,
abs_tol=1e-9):
path.line_to(end)
else:
path.curve3_to(end, ctrl)
def bulge_to(p1: Vec3, p2: Vec3, bulge: float):
if p1.isclose(p2, rel_tol=IS_CLOSE_TOL, abs_tol=0):
return
center, start_angle, end_angle, radius = bulge_to_arc(p1, p2, bulge)
ellipse = ConstructionEllipse.from_arc(
center, radius, Z_AXIS,
math.degrees(start_angle),
math.degrees(end_angle),
)
curves = list(cubic_bezier_from_ellipse(ellipse))
curve0 = curves[0]
cp0 = curve0.control_points[0]
if cp0.isclose(p2, rel_tol=IS_CLOSE_TOL, abs_tol=0):
curves = reverse_bezier_curves(curves)
add_bezier4p(path, curves)
def add_bezier4p(path: Path, curves: Iterable[Bezier4P]) -> None:
""" Add multiple cubic Bèzier-curves to the given `path`.
Auto-detect the connection point to the given `path`, if neither the start-
nor the end point of the curves is close to the path end point, a line from
the path end point to the start point of the first curve will be added
automatically.
"""
curves = list(curves)
if not len(curves):
return
end = curves[-1].control_points[-1]
if path.end.isclose(end):
# connect to new curves end point
curves = reverse_bezier_curves(curves)
for curve in curves:
start, ctrl1, ctrl2, end = curve.control_points
if not start.isclose(path.end, abs_tol=1e-9):
path.line_to(start)
path.curve4_to(end, ctrl1, ctrl2)