from compas.colors import Color
from compas.geometry import NurbsSurface
from compas.geometry import Point
from compas.geometry import Polyline
from compas.itertools import flatten
from compas.itertools import linspace
from compas.itertools import meshgrid
from compas_viewer import Viewer
points = [
[Point(0, 0, 0), Point(1, 0, 0), Point(2, 0, 0), Point(3, 0, 0), Point(4, 0, 0)],
[Point(0, 1, 0), Point(1, 1, 2), Point(2, 1, 2), Point(3, 1, 0), Point(4, 1, 0)],
[Point(0, 2, 0), Point(1, 2, 2), Point(2, 2, 2), Point(3, 2, 0), Point(4, 2, 0)],
[Point(0, 3, 0), Point(1, 3, 0), Point(2, 3, 0), Point(3, 3, 0), Point(4, 3, 0)],
]
surface = NurbsSurface.from_points(points=points)
# ==============================================================================
# Points over UV space
# ==============================================================================
U, V = meshgrid(linspace(*surface.domain_u), linspace(*surface.domain_v), "ij")
spacepoints = [surface.point_at(u, v) for u, v in zip(flatten(U), flatten(V))]
# ==============================================================================
# Visualisation
# ==============================================================================
viewer = Viewer()
viewer.scene.add(surface)
viewer.scene.add(spacepoints)
# control polygon
points = list(surface.points)
viewer.scene.add([Polyline(row) for row in points], linewidth=1, linecolor=Color(0.3, 0.3, 0.3))
viewer.scene.add([Polyline(col) for col in zip(*points)], linewidth=1, linecolor=Color(0.3, 0.3, 0.3))
viewer.scene.add(points, pointsize=10)
# isocurves
u_curves = []
for u in surface.space_u(7): # type: ignore
u_curves.append(surface.isocurve_u(u).to_polyline())
v_curves = []
for v in surface.space_v(7): # type: ignore
v_curves.append(surface.isocurve_v(v).to_polyline())
viewer.scene.add(u_curves, linecolor=Color(0.8, 0.8, 0.8), linewidth=3)
viewer.scene.add(v_curves, linecolor=Color(0.8, 0.8, 0.8), linewidth=3)
viewer.show()
