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# Copyright (c) 2018 Manfred Moitzi
# License: MIT License
from math import isclose, radians, pi
from ezdxf.math import UCS, Vec3, X_AXIS, Y_AXIS, Z_AXIS, Matrix44
def test_ucs_init():
ucs = UCS()
assert ucs.origin == (0, 0, 0)
assert ucs.ux == (1, 0, 0)
assert ucs.uy == (0, 1, 0)
assert ucs.uz == (0, 0, 1)
assert ucs.from_wcs(Vec3(3, 4, 5)) == (3, 4, 5)
assert ucs.to_wcs(Vec3(5, 4, 3)) == (5, 4, 3)
def test_ucs_init_ux_uy():
ucs = UCS(ux=X_AXIS, uy=Y_AXIS)
assert ucs.uz == Z_AXIS
ucs = UCS(ux=Y_AXIS, uy=X_AXIS)
assert ucs.uz == -Z_AXIS
def test_ucs_init_ux_uz():
ucs = UCS(ux=X_AXIS, uz=Z_AXIS)
assert ucs.uy == Y_AXIS
def test_ucs_init_uy_uz():
ucs = UCS(uy=Y_AXIS, uz=Z_AXIS)
assert ucs.ux == X_AXIS
ucs = UCS(uz=X_AXIS, uy=Z_AXIS)
assert ucs.ux == Y_AXIS
def test_translation():
ucs = UCS(origin=(3, 4, 5))
assert ucs.origin == (3, 4, 5)
assert ucs.ux == (1, 0, 0)
assert ucs.uy == (0, 1, 0)
assert ucs.uz == (0, 0, 1)
assert ucs.from_wcs(Vec3(3, 4, 5)) == (0, 0, 0)
assert ucs.to_wcs(Vec3(1, 1, 1)) == (4, 5, 6)
def test_rotation():
# normalization is not necessary
ux = Vec3(1, 2, 0)
# only cartesian coord systems work
uy = ux.rotate_deg(90)
ucs = UCS(ux=ux, uy=uy)
assert ucs.ux == ux.normalize()
assert ucs.uy == uy.normalize()
assert ucs.uz == (0, 0, 1)
assert ucs.is_cartesian is True
def test_matrix44_rotation():
# normalization is not necessary
ux = Vec3(1, 2, 0)
# only cartesian coord systems work
uy = ux.rotate_deg(90)
ucs = UCS(ux=ux, uy=uy)
m = Matrix44.ucs(ux=ux.normalize(), uy=uy.normalize())
assert m.ux == ux.normalize()
assert m.uy == uy.normalize()
assert m.uz == (0, 0, 1)
assert m.is_cartesian
v = m.transform((1, 2, 3))
assert v == ucs.to_wcs((1, 2, 3))
assert m.ucs_vertex_from_wcs(v).isclose((1, 2, 3))
def test_transformation():
axis = Vec3.random()
angle = 1.5
ucs = UCS(origin=(3, 4, 5))
m = Matrix44.axis_rotate(axis, angle)
expected_origin = m.transform(ucs.origin)
expected_ux = m.transform(ucs.ux)
expected_uy = m.transform(ucs.uy)
expected_uz = m.transform(ucs.uz)
new = ucs.transform(m)
assert new.origin.isclose(expected_origin)
assert new.ux.isclose(expected_ux)
assert new.uy.isclose(expected_uy)
assert new.uz.isclose(expected_uz)
def test_none_cartesian():
ucs = UCS(ux=(1, 2), uy=(0, 2))
assert ucs.is_cartesian is False
def test_arbitrary_ucs():
origin = Vec3(3, 3, 3)
ux = Vec3(1, 2, 0)
def_point_in_xy_plane = Vec3(3, 10, 4)
uz = ux.cross(def_point_in_xy_plane - origin)
ucs = UCS(origin=origin, ux=ux, uz=uz)
m = Matrix44.ucs(ucs.ux, ucs.uy, ucs.uz, ucs.origin)
def_point_in_ucs = ucs.from_wcs(def_point_in_xy_plane)
assert ucs.ux == m.ux
assert ucs.uy == m.uy
assert ucs.uz == m.uz
assert ucs.origin == m.origin
assert def_point_in_ucs == m.ucs_vertex_from_wcs(def_point_in_xy_plane)
assert def_point_in_ucs.z == 0
assert ucs.to_wcs(def_point_in_ucs).isclose(def_point_in_xy_plane)
assert ucs.is_cartesian is True
def test_ucs_direction_to_ocs_direction():
ucs = UCS.from_x_axis_and_point_in_xy(
origin=(1, 2, 3), axis=(2, 3, 4), point=(3, 2, 5)
)
assert ucs.is_cartesian is True
expected = (-3.350073025395333, 2.9626020192591795, 6)
assert ucs.ucs_direction_to_ocs_direction(Vec3(2, 4, 6)).isclose(expected)
def test_to_ocs():
ucs = UCS(ux=(0, 0, -1), uz=(1, 0, 0))
assert ucs.is_cartesian is True
assert ucs.to_ocs((1, 0, 0)).isclose((0, -1, 0))
def test_points_to_ocs():
ucs = UCS(ux=(0, 0, -1), uz=(1, 0, 0))
points = [(1, 2, 3), (4, 5, 6), (9, 8, 7)]
expected = [ucs.to_ocs(p) for p in points]
result = list(ucs.points_to_ocs(points))
assert result == expected
def test_to_ocs_angle_deg():
ucs = UCS.from_x_axis_and_point_in_xy(
origin=(1, 2, 3), axis=(2, 3, 4), point=(3, 2, 5)
)
expected = 120.077450607124
assert isclose(ucs.to_ocs_angle_deg(45), expected)
def test_constructor_functions():
# does not check the math, because this would just duplicate the implementation code
origin = Vec3(3, 3, 3)
axis = Vec3(1, 0, -1)
def_point = Vec3(3, 10, 4)
ucs = UCS.from_x_axis_and_point_in_xy(origin, axis=axis, point=def_point)
assert ucs.is_cartesian
assert isclose(ucs.from_wcs(def_point).z, 0)
ucs = UCS.from_x_axis_and_point_in_xz(origin, axis=axis, point=def_point)
assert ucs.is_cartesian
assert isclose(ucs.from_wcs(def_point).y, 0)
ucs = UCS.from_y_axis_and_point_in_xy(origin, axis=axis, point=def_point)
assert ucs.is_cartesian
assert isclose(ucs.from_wcs(def_point).z, 0)
ucs = UCS.from_y_axis_and_point_in_yz(origin, axis=axis, point=def_point)
assert ucs.is_cartesian
assert isclose(ucs.from_wcs(def_point).x, 0)
ucs = UCS.from_z_axis_and_point_in_xz(origin, axis=axis, point=def_point)
assert ucs.is_cartesian
assert isclose(ucs.from_wcs(def_point).y, 0)
ucs = UCS.from_z_axis_and_point_in_yz(origin, axis=axis, point=def_point)
assert ucs.is_cartesian
assert isclose(ucs.from_wcs(def_point).x, 0)
def test_rotate_x_axis():
ucs = UCS().rotate((1, 0, 0), radians(90))
assert ucs.ux.isclose((1, 0, 0))
assert ucs.uy.isclose((0, 0, 1))
assert ucs.uz.isclose((0, -1, 0))
def test_rotate_y_axis():
ucs = UCS().rotate((0, 1, 0), radians(90))
assert ucs.ux.isclose((0, 0, -1))
assert ucs.uy.isclose((0, 1, 0))
assert ucs.uz.isclose((1, 0, 0))
def test_rotate_z_axis():
ucs = UCS().rotate((0, 0, 1), radians(90))
assert ucs.ux.isclose((0, 1, 0))
assert ucs.uy.isclose((-1, 0, 0))
assert ucs.uz.isclose((0, 0, 1))
def test_rotate_local_x():
ucs = UCS()
assert ucs.ux == (1, 0, 0) # WCS x-axis
assert ucs.uy == (0, 1, 0) # WCS y-axis
assert ucs.uz == (0, 0, 1) # WCS z-axis
ucs = ucs.rotate_local_x(pi / 2)
assert ucs.ux.isclose((1, 0, 0)) # WCS x-axis
assert ucs.uy.isclose((0, 0, 1)) # WCS z-axis
assert ucs.uz.isclose((0, -1, 0)) # WCS -y-axis
def test_rotate_local_y():
ucs = UCS()
assert ucs.ux == (1, 0, 0) # WCS x-axis
assert ucs.uy == (0, 1, 0) # WCS y-axis
assert ucs.uz == (0, 0, 1) # WCS z-axis
ucs = ucs.rotate_local_y(pi / 2)
assert ucs.ux.isclose((0, 0, -1)) # WCS -z-axis
assert ucs.uy.isclose((0, 1, 0)) # WCS y-axis
assert ucs.uz.isclose((1, 0, 0)) # WCS x-axis
def test_rotate_local_z():
ucs = UCS()
assert ucs.ux == (1, 0, 0) # WCS x-axis
assert ucs.uy == (0, 1, 0) # WCS y-axis
assert ucs.uz == (0, 0, 1) # WCS z-axis
ucs = ucs.rotate_local_z(pi / 2)
assert ucs.ux.isclose((0, 1, 0)) # WCS y-axis
assert ucs.uy.isclose((-1, 0, 0)) # WCS -x-axis
assert ucs.uz.isclose((0, 0, 1)) # WCS z-axis
def test_shift_ucs():
ucs = UCS()
ucs.shift((1, 2, 3))
assert ucs.origin == (1, 2, 3)
ucs.shift((1, 2, 3))
assert ucs.origin == (2, 4, 6)
def test_moveto():
ucs = UCS()
ucs.moveto((1, 2, 3))
assert ucs.origin == (1, 2, 3)
ucs.moveto((3, 2, 1))
assert ucs.origin == (3, 2, 1)
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