def test_bsplineu_points():
curve = BSplineU(DEFPOINTS, order=3)
points = list(curve.approximate(40))
for rpoint, epoint in zip(points, iter_points(DBSPLINEU, 0)):
epx, epy, epz = epoint
rpx, rpy, rpz = rpoint
assert isclose(epx, rpx)
assert isclose(epy, rpy)
assert isclose(epz, rpz)
def test_rbsplineu():
curve = BSplineU(DEFPOINTS, order=3, weights=DEFWEIGHTS)
expected = RBSPLINEU
points = list(curve.approximate(40))
for rpoint, epoint in zip(points, expected):
epx, epy, epz = epoint
rpx, rpy, rpz = rpoint
assert isclose(epx, rpx)
assert isclose(epy, rpy)
assert isclose(epz, rpz)
def render_uniform_bspline(self, layout: 'BaseLayout', degree: int = 3, dxfattribs: dict = None) -> None:
"""
Render a uniform BSpline as 3D :class:`~ezdxf.entities.Polyline`. Definition points are control points.
Args:
layout: :class:`~ezdxf.layouts.BaseLayout` object
degree: degree of B-spline (order = `degree` + 1)
dxfattribs: DXF attributes for :class:`~ezdxf.entities.Polyline`
"""
spline = BSplineU(self.points, order=degree + 1)
layout.add_polyline3d(list(spline.approximate(self.segments)), dxfattribs=dxfattribs)
def render_uniform_bspline(self, layout: 'GenericLayoutType', degree: int = 3, dxfattribs: dict = None) -> None:
"""
Render a uniform BSpline as 3d polyline. Definition points are control points.
Args:
layout: ezdxf layout
degree: B-spline degree (order = degree + 1)
dxfattribs: DXF attributes for POLYLINE
"""
spline = BSplineU(self.points, order=degree + 1)
layout.add_polyline3d(list(spline.approximate(self.segments)), dxfattribs=dxfattribs)
def render_uniform_rbspline(self, layout: 'GenericLayoutType', weights: Iterable[float], degree: int = 3,
dxfattribs: dict = None) -> None:
"""
Render a rational uniform BSpline as 3d polyline.
Args:
layout: ezdxf layout
weights: list of weights, requires a weight value for each defpoint.
degree: B-spline degree (order = degree + 1)
dxfattribs: DXF attributes for POLYLINE
"""
spline = BSplineU(self.points, order=degree + 1, weights=weights)
layout.add_polyline3d(list(spline.approximate(self.segments)), dxfattribs=dxfattribs)
def render_uniform_rbspline(self, layout: 'BaseLayout', weights: Iterable[float], degree: int = 3,
dxfattribs: dict = None) -> None:
"""
Render a rational uniform BSpline as 3D :class:`~ezdxf.entities.Polyline`. Definition points are control
points.
Args:
layout: :class:`~ezdxf.layouts.BaseLayout` object
weights: list of weights, requires a weight value (float) for each definition point.
degree: degree of B-spline (order = `degree` + 1)
dxfattribs: DXF attributes for :class:`~ezdxf.entities.Polyline`
"""
spline = BSplineU(self.points, order=degree + 1, weights=weights)
layout.add_polyline3d(list(spline.approximate(self.segments)), dxfattribs=dxfattribs)
def dbsplineu():
curve = BSplineU(DEFPOINTS, order=3)
return list(curve.derivatives(curve.params(40)))