102_point_in_frame.py

"""Example: 'point in frame'

The simple example above shows how to use a frame as a coordinate system:
Starting from a point `P` in the local (user-defined, relative) coordinate
system of frame `F`, i.e. its position is relative to the origin and orientation
of `F`, we want to get the position `P_` of `P` in the global (world, absolute)
coordinate system.
"""
from compas.geometry import Point
from compas.geometry import Vector
from compas.geometry import Frame
from compas.geometry import allclose

point = Point(146.00, 150.00, 161.50)
xaxis = Vector(0.9767, 0.0010, -0.214)
yaxis = Vector(0.1002, 0.8818, 0.4609)

F = Frame(point, xaxis, yaxis)  # coordinate system F
P = Point(35., 35., 35.)  # point in F (local coordinates)

P_ = F.to_world_coordinates(P)  # point in global (world) coordinates
print("The point's world coordinates: {!r}".format(P_))

P2 = F.to_local_coordinates(P_)
print("The point's local coordinates: {!r}".format(P2))  # should equal P
print(allclose(P2, P))