def draw_line(self, start: Vec3, end: Vec3, properties: Properties):
# matplotlib draws nothing for a zero-length line:
if start.isclose(end):
self.draw_point(start, properties)
else:
self._line_renderer.draw_line(start, end, properties,
self._get_z())
def draw_line(self, start: Vec3, end: Vec3, properties: Properties) -> None:
# PyQt draws a long line for a zero-length line:
if start.isclose(end):
self.draw_point(start, properties)
else:
item = self._line_renderer.draw_line(start, end, properties) # type: ignore
self._set_item_data(item)
def distance_point_line_3d(point: Vec3, start: Vec3, end: Vec3) -> float:
""" Returns the normal distance from `point` to 3D line defined by `start-`
and `end` point.
"""
if start.isclose(end):
raise ZeroDivisionError('Not a line.')
v1 = point - start
# point projected onto line start to end:
v2 = (end - start).project(v1)
# Pythagoras:
return math.sqrt(v1.magnitude_square - v2.magnitude_square)
def bulge_to(p1: Vec3, p2: Vec3, bulge: float):
if p1.isclose(p2):
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))
if curves[0].control_points[0].isclose(p2):
curves = _reverse_bezier_curves(curves)
self.add_curves(curves)
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 distance_point_line_3d(point: Vec3, start: Vec3, end: Vec3) -> float:
""" Returns the normal distance from `point` to 3D line defined by `start-`
and `end` point.
"""
if start.isclose(end):
raise ZeroDivisionError('Not a line.')
v1 = point - start
# point projected onto line start to end:
v2 = (end - start).project(v1)
# Pythagoras:
diff = v1.magnitude_square - v2.magnitude_square
if diff <= 0.0:
# This should not happen (abs(v1) > abs(v2)), but floating point
# imprecision at very small values makes it possible!
return 0.0
else:
return math.sqrt(diff)
def is_spatial(v: Vec3) -> bool:
return not v.isclose(Z_AXIS) and not v.isclose(NEG_Z_AXIS)
