def make_uv_curve(self, surface, mode, flip):
u_min, u_max = surface.get_u_min(), surface.get_u_max()
v_min, v_max = surface.get_v_min(), surface.get_v_max()
if mode == 'UMIN':
u1 = u2 = u_min
v1, v2 = v_min, v_max
elif mode == 'UMAX':
u1 = u2 = u_max
v1, v2 = v_min, v_max
elif mode == 'VMIN':
u1, u2 = u_min, u_max
v1 = v2 = v_min
elif mode == 'VMAX':
u1, u2 = u_min, u_max
v1 = v2 = v_max
else:
raise Exception("unknown mode")
p1 = (u1, v1, 0)
p2 = (u2, v2, 0)
if flip:
curve = SvLine.from_two_points(p2, p1)
else:
curve = SvLine.from_two_points(p1, p2)
return curve
def make_line(self, point, tangent, t_ext, sign):
if sign < 0:
before_start = point - t_ext * tangent # / np.linalg.norm(tangent_start)
return SvLine.from_two_points(before_start, point)
else:
after_end = point + t_ext * tangent # / np.linalg.norm(tangent_end)
return SvLine.from_two_points(point, after_end)
def make_curve(self, size_x, size_y, radiuses):
r1, r2, r3, r4 = radiuses[:4]
p1 = Vector((r1, 0, 0))
p2 = Vector((size_x - r2, 0, 0))
p3 = Vector((size_x, r2, 0))
p4 = Vector((size_x, size_y - r3, 0))
p5 = Vector((size_x - r3, size_y, 0))
p6 = Vector((r4, size_y, 0))
p7 = Vector((0, size_y - r4, 0))
p8 = Vector((0, r1, 0))
c1 = Vector((r1, r1, 0))
c2 = Vector((size_x - r2, r2, 0))
c3 = Vector((size_x - r3, size_y - r3, 0))
c4 = Vector((r4, size_y - r4, 0))
if self.center:
center = Vector((size_x/2.0, size_y/2.0, 0))
p1 -= center
p2 -= center
p3 -= center
p4 -= center
p5 -= center
p6 -= center
p7 -= center
p8 -= center
c1 -= center
c2 -= center
c3 -= center
c4 -= center
def make_arc(center, radius, angle):
matrix = Matrix.Translation(center) @ Matrix.Rotation(angle, 4, 'Z')
circle = SvCircle(matrix, radius)
circle.u_bounds = (0, pi/2)
return circle
curves = []
if r1 > 0:
curves.append(make_arc(c1, r1, pi))
if (p2 - p1).length > 0:
curves.append(SvLine.from_two_points(p1, p2))
if r2 > 0:
curves.append(make_arc(c2, r2, 3*pi/2))
if (p4 - p3).length > 0:
curves.append(SvLine.from_two_points(p3, p4))
if r3 > 0:
curves.append(make_arc(c3, r3, 0))
if (p6 - p5).length > 0:
curves.append(SvLine.from_two_points(p5, p6))
if r4 > 0:
curves.append(make_arc(c4, r4, pi/2))
if (p8 - p7).length > 0:
curves.append(SvLine.from_two_points(p7, p8))
curve = SvConcatCurve(curves, scale_to_unit = self.scale_to_unit)
return (c1, c2, c3, c4), curve
def process(self):
if not any(socket.is_linked for socket in self.outputs):
return
verts_s = self.inputs['Vertices'].sv_get()
tangent_s = self.inputs['Tangent'].sv_get(default = [[[]]])
have_tangent = self.inputs['Tangent'].is_linked
verts_s = ensure_nesting_level(verts_s, 3)
tangent_s = ensure_nesting_level(tangent_s, 3)
tangent_s = tangent_s[0] # We can use only one tangent per curve, but let's support a spare pair of []
curve_out = []
center_out = []
radius_out = []
angle_out = []
for verts, tangent in zip_long_repeat(verts_s, tangent_s):
new_curves = []
new_centers = []
new_radius = []
new_angles = []
if not have_tangent:
tangent = self.calc_tangent(verts)
elif not isinstance(tangent, Vector):
tangent = Vector(tangent)
if self.is_cyclic:
verts = verts + [verts[0]]
for start, end in zip(verts, verts[1:]):
start = Vector(start)
end = Vector(end)
diff = end - start
if diff.angle(tangent) < 1e-8:
curve = SvLine.from_two_points(start, end)
else:
eq = circle_by_start_end_tangent(start, end, tangent)
curve = SvCircle.from_equation(eq)
_, angle = curve.get_u_bounds()
tangent = Vector(curve.tangent(angle))
new_centers.append(curve.matrix)
new_radius.append(curve.radius)
new_angles.append(angle)
new_curves.append(curve)
if self.make_nurbs:
new_curves = [c.to_nurbs() for c in new_curves]
if self.concat:
new_curves = [concatenate_curves(new_curves)]
curve_out.append(new_curves)
center_out.append(new_centers)
radius_out.append(new_radius)
angle_out.append(new_angles)
self.outputs['Curve'].sv_set(curve_out)
self.outputs['Center'].sv_set(center_out)
self.outputs['Radius'].sv_set(radius_out)
self.outputs['Angle'].sv_set(angle_out)
def new_line_segment(self, v1, v2):
if isinstance(v1, int):
v1, v2 = self.vertices[v1], self.vertices[v2]
v1, v2 = self.to3d(v1), self.to3d(v2)
if (v1 - v2).length < self.close_threshold:
return
curve = SvLine.from_two_points(v1, v2)
self.new_curve(curve, None)
def make_curve(self, vertices, radiuses):
if self.cyclic:
last_fillet = calc_fillet(vertices[-1], vertices[0], vertices[1],
radiuses[0])
prev_edge_start = last_fillet.p2
radiuses = radiuses[1:] + [radiuses[0]]
corners = list(zip(vertices, vertices[1:], vertices[2:], radiuses))
corners.append(
(vertices[-2], vertices[-1], vertices[0], radiuses[-1]))
corners.append(
(vertices[-1], vertices[0], vertices[1], radiuses[0]))
else:
prev_edge_start = vertices[0]
corners = zip(vertices, vertices[1:], vertices[2:], radiuses)
curves = []
centers = []
for v1, v2, v3, radius in corners:
fillet = calc_fillet(v1, v2, v3, radius)
if fillet is not None:
edge_direction = np.array(
fillet.p1) - np.array(prev_edge_start)
edge_len = np.linalg.norm(edge_direction)
edge = SvLine(prev_edge_start, edge_direction / edge_len)
edge.u_bounds = (0.0, edge_len)
arc = fillet.get_curve()
prev_edge_start = fillet.p2
curves.append(edge)
curves.append(arc)
centers.append(fillet.matrix)
else:
edge = SvLine.from_two_points(prev_edge_start, v2)
prev_edge_start = v2
curves.append(edge)
if not self.cyclic:
edge_direction = np.array(vertices[-1]) - np.array(prev_edge_start)
edge_len = np.linalg.norm(edge_direction)
edge = SvLine(prev_edge_start, edge_direction / edge_len)
edge.u_bounds = (0.0, edge_len)
curves.append(edge)
if self.make_nurbs:
if self.concat:
curves = [
curve.to_nurbs().elevate_degree(target=2)
for curve in curves
]
else:
curves = [curve.to_nurbs() for curve in curves]
if self.concat:
concat = concatenate_curves(curves,
scale_to_unit=self.scale_to_unit)
return concat, centers
else:
return curves, centers
def process(self):
if not any(socket.is_linked for socket in self.outputs):
return
output_src = self.output_src or self.concat
curves_out = []
controls_out = []
is_first = True
for curve1, curve2, factor1, factor2 in self.get_inputs():
_, t_max_1 = curve1.get_u_bounds()
t_min_2, _ = curve2.get_u_bounds()
curve1_end = curve1.evaluate(t_max_1)
curve2_begin = curve2.evaluate(t_min_2)
smooth = int(self.smooth_mode)
if smooth == 0:
new_curve = SvLine.from_two_points(curve1_end, curve2_begin)
new_controls = [curve1_end, curve2_begin]
elif smooth == 1:
tangent_1_end = curve1.tangent(t_max_1)
tangent_2_begin = curve2.tangent(t_min_2)
tangent1 = factor1 * tangent_1_end
tangent2 = factor2 * tangent_2_begin
new_curve = SvCubicBezierCurve(
curve1_end,
curve1_end + tangent1 / 3.0,
curve2_begin - tangent2 / 3.0,
curve2_begin
)
new_controls = [new_curve.p0.tolist(), new_curve.p1.tolist(),
new_curve.p2.tolist(), new_curve.p3.tolist()]
elif smooth == 2:
tangent_1_end = curve1.tangent(t_max_1)
tangent_2_begin = curve2.tangent(t_min_2)
second_1_end = curve1.second_derivative(t_max_1)
second_2_begin = curve2.second_derivative(t_min_2)
new_curve = SvBezierCurve.blend_second_derivatives(
curve1_end, tangent_1_end, second_1_end,
curve2_begin, tangent_2_begin, second_2_begin)
new_controls = [p.tolist() for p in new_curve.points]
elif smooth == 3:
tangent_1_end = curve1.tangent(t_max_1)
tangent_2_begin = curve2.tangent(t_min_2)
second_1_end = curve1.second_derivative(t_max_1)
second_2_begin = curve2.second_derivative(t_min_2)
third_1_end = curve1.third_derivative_array(np.array([t_max_1]))[0]
third_2_begin = curve2.third_derivative_array(np.array([t_min_2]))[0]
new_curve = SvBezierCurve.blend_third_derivatives(
curve1_end, tangent_1_end, second_1_end, third_1_end,
curve2_begin, tangent_2_begin, second_2_begin, third_2_begin)
new_controls = [p.tolist() for p in new_curve.points]
else:
raise Exception("Unsupported smooth level")
if self.mode == 'N' and not self.cyclic and output_src and is_first:
curves_out.append(curve1)
curves_out.append(new_curve)
if self.mode == 'N' and output_src:
curves_out.append(curve2)
controls_out.append(new_controls)
is_first = False
if self.concat:
curves_out = [SvConcatCurve(curves_out)]
self.outputs['Curve'].sv_set(curves_out)
self.outputs['ControlPoints'].sv_set(controls_out)
def process(self):
if not any(socket.is_linked for socket in self.outputs):
return
output_src = self.output_src or self.concat
curves_out = []
controls_out = []
is_first = True
for params in self.get_inputs():
new_curves = []
new_controls = []
for curve1, curve2, factor1, factor2, parameter in params:
_, t_max_1 = curve1.get_u_bounds()
t_min_2, _ = curve2.get_u_bounds()
curve1_end = curve1.evaluate(t_max_1)
curve2_begin = curve2.evaluate(t_min_2)
smooth = self.smooth_mode
if smooth == '0':
new_curve = SvLine.from_two_points(curve1_end,
curve2_begin)
controls = [curve1_end, curve2_begin]
elif smooth == '1':
tangent_1_end = curve1.tangent(t_max_1)
tangent_2_begin = curve2.tangent(t_min_2)
tangent1 = factor1 * tangent_1_end
tangent2 = factor2 * tangent_2_begin
new_curve = SvCubicBezierCurve(
curve1_end, curve1_end + tangent1 / 3.0,
curve2_begin - tangent2 / 3.0, curve2_begin)
controls = [
new_curve.p0.tolist(),
new_curve.p1.tolist(),
new_curve.p2.tolist(),
new_curve.p3.tolist()
]
elif smooth == '1b':
tangent_1_end = curve1.tangent(t_max_1)
tangent_2_begin = curve2.tangent(t_min_2)
new_curve = SvBiArc.calc(
curve1_end,
curve2_begin,
tangent_1_end,
tangent_2_begin,
parameter,
planar_tolerance=self.planar_tolerance)
controls = [new_curve.junction.tolist()]
elif smooth == '2':
tangent_1_end = curve1.tangent(t_max_1)
tangent_2_begin = curve2.tangent(t_min_2)
second_1_end = curve1.second_derivative(t_max_1)
second_2_begin = curve2.second_derivative(t_min_2)
new_curve = SvBezierCurve.blend_second_derivatives(
curve1_end, tangent_1_end, second_1_end, curve2_begin,
tangent_2_begin, second_2_begin)
controls = [p.tolist() for p in new_curve.points]
elif smooth == '3':
tangent_1_end = curve1.tangent(t_max_1)
tangent_2_begin = curve2.tangent(t_min_2)
second_1_end = curve1.second_derivative(t_max_1)
second_2_begin = curve2.second_derivative(t_min_2)
third_1_end = curve1.third_derivative_array(
np.array([t_max_1]))[0]
third_2_begin = curve2.third_derivative_array(
np.array([t_min_2]))[0]
new_curve = SvBezierCurve.blend_third_derivatives(
curve1_end, tangent_1_end, second_1_end, third_1_end,
curve2_begin, tangent_2_begin, second_2_begin,
third_2_begin)
controls = [p.tolist() for p in new_curve.points]
else:
raise Exception("Unsupported smooth level")
if self.mode == 'N' and not self.cyclic and output_src and is_first:
new_curves.append(curve1)
new_curves.append(new_curve)
if self.mode == 'N' and output_src:
new_curves.append(curve2)
new_controls.append(controls)
is_first = False
if self.concat:
new_curves = [concatenate_curves(new_curves)]
if self.join:
curves_out.extend(new_curves)
controls_out.extend(new_controls)
else:
curves_out.append(new_curves)
controls_out.append(new_controls)
self.outputs['Curve'].sv_set(curves_out)
self.outputs['ControlPoints'].sv_set(controls_out)