def test_cubic_bezier_approximation():
bspline = BSpline.from_fit_points([(0, 0), (10, 20), (30, 10), (40, 10),
(50, 0), (60, 20), (70, 50), (80, 70)])
bezier_segments = list(bspline.cubic_bezier_approximation(level=3))
assert len(bezier_segments) == 28
bezier_segments = list(bspline.cubic_bezier_approximation(segments=40))
assert len(bezier_segments) == 40
def test_bezier_decomposition():
bspline = BSpline.from_fit_points([(0, 0), (10, 20), (30, 10), (40, 10),
(50, 0), (60, 20), (70, 50), (80, 70)])
bezier_segments = list(bspline.bezier_decomposition())
assert len(bezier_segments) == 5
# results visually checked to be correct
assert bezier_segments[0] == [(0.0, 0.0, 0.0),
(2.02070813064438, 39.58989657555839, 0.0),
(14.645958536022286, 10.410103424441612,
0.0), (30.0, 10.0, 0.0)]
assert bezier_segments[-1] == [(60.0, 20.0, 0.0),
(66.33216513897267, 43.20202388489432, 0.0),
(69.54617236126121, 50.37880459351478, 0.0),
(80.0, 70.0, 0.0)]
def construction_tool(self) -> BSpline:
""" Returns construction tool :class:`ezdxf.math.BSpline`.
.. versionadded:: 0.13
"""
if self.control_point_count():
weights = self.weights if len(self.weights) else None
knots = self.knots if len(self.knots) else None
return BSpline(control_points=self.control_points,
order=self.dxf.degree + 1, knots=knots,
weights=weights)
elif self.fit_point_count():
return BSpline.from_fit_points(self.fit_points,
degree=self.dxf.degree)
else:
raise ValueError(
'Construction tool requires control- or fit points.')
def test_flattening():
fitpoints = [(0, 0), (1, 3), (2, 0), (3, 3)]
bspline = BSpline.from_fit_points(fitpoints)
assert list(bspline.flattening(0.01, segments=4)) == EXPECTED_FLATTENING