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# Copyright (c) 2018-2022 Manfred Moitzi
# License: MIT License
import pytest
import math
from ezdxf.math import Vec3, close_vectors, UCS, BoundingBox, Vec2
from ezdxf.render import forms
def test_circle_open():
c = list(forms.circle(8))
assert len(c) == 8
def test_circle_closed():
c = list(forms.circle(8, close=True))
assert len(c) == 9
def test_close_polygon():
p = forms.close_polygon(Vec3.generate([(1, 0), (2, 0), (3, 0), (4, 0)]))
assert len(p) == 5
assert p[4] == (1, 0)
def test_close_polygon_without_doublets():
p = forms.close_polygon(Vec3.generate([(1, 0), (2, 0), (3, 0), (4, 0), (1, 0)]))
assert len(p) == 5
def test_close_circle():
assert len(list(forms.circle(8, close=True))) == 9
assert len(forms.close_polygon(forms.circle(8, close=True))) == 9
assert len(forms.close_polygon(forms.circle(8, close=False))) == 9
def test_square():
sq = forms.square(2)
assert len(sq) == 4
assert close_vectors(sq, [(0, 0), (2, 0), (2, 2), (0, 2)])
def test_box():
b = forms.box(3, 2)
assert len(b) == 4
assert close_vectors(b, [(0, 0), (3, 0), (3, 2), (0, 2)])
def test_open_arrow():
a = forms.open_arrow(3, 60)
assert len(a) == 3
assert close_vectors(a, [(-3, 1.5), (0, 0), (-3, -1.5)])
def test_closed_arrow():
a = forms.arrow2(3, 60, 45)
assert len(a) == 4
assert close_vectors(a, [(-3, 1.5), (0, 0), (-3, -1.5), (-1.5, 0)])
def test_cube():
c = forms.cube(center=True)
assert len(c.vertices) == 8
assert len(c.faces) == 6
c = forms.cube(center=False)
assert len(c.vertices) == 8
assert len(c.faces) == 6
class TestExtrude:
@pytest.fixture
def profile(self):
return [(0, 0, 0), (1, 0, 0), (1, 1, 0), (0, 1, 0)]
def test_extrude_without_caps(self, profile):
path = ((0, 0, 0), (0, 0, 1))
diag = forms.extrude(profile, path, close=True, caps=False).diagnose()
assert diag.n_vertices == 8
assert diag.n_faces == 4
assert diag.is_manifold is True
def test_extrude_open_profiles_with_caps(self, profile):
path = ((0, 0, 0), (0, 0, 1))
diag = forms.extrude(profile, path, close=False, caps=True).diagnose()
assert diag.n_vertices == 8
assert diag.n_faces == 5, "hull should have top- and bottom faces"
assert diag.is_manifold is True
def test_extrude_with_caps(self, profile):
path = ((0, 0, 0), (0, 0, 1))
diag = forms.extrude(profile, path, close=True, caps=True).diagnose()
assert len(diag.faces[0]) == 4, "bottom face should have 4 vertices"
assert diag.n_vertices == 8
assert diag.n_faces == 6
assert diag.is_manifold is True
assert len(diag.faces[-1]) == 4, "top face should have 4 vertices"
def test_from_profiles_linear():
bottom = Vec3.list([(0, 0, 0), (1, 0, 0), (1, 1, 0), (0, 1, 0)])
top = Vec3.list([(0, 0, 1), (1, 0, 1), (1, 1, 1), (0, 1, 1)])
mesh = forms.from_profiles_linear([bottom, top], close=True, caps=True)
assert len(mesh.vertices) == 8
assert len(mesh.faces) == 6
mesh = forms.from_profiles_linear([bottom, top], close=True, caps=False)
assert len(mesh.vertices) == 8
assert len(mesh.faces) == 4
def in_vertices(v, vertices):
v = Vec3(v)
return any(v.isclose(v2) for v2 in vertices)
def test_cylinder():
mesh = forms.cylinder(12)
assert len(mesh.faces) == 14 # 1x bottom, 1x top, 12x side
assert len(mesh.vertices) == 24 # 12x bottom, 12x top
mesh = forms.cylinder(
count=12, radius=3, top_radius=2, top_center=(1, 0, 3), caps=False
)
assert len(mesh.faces) == 12
assert len(mesh.vertices) == 24
assert in_vertices((3, 0, 3), mesh.vertices)
assert in_vertices((-1, 0, 3), mesh.vertices)
def test_spline_interpolation():
vertices = [(0.0, 0.0), (1.0, 2.0), (3.0, 1.0), (5.0, 3.0)]
result = forms.spline_interpolation(vertices, method="uniform", subdivide=4)
assert len(result) == 13 # (len-1) * subdivide + 1
assert Vec3(0, 0, 0).isclose(result[0]), "expected start point"
assert Vec3(5, 3, 0).isclose(result[-1]), "expected end point"
assert Vec3(1, 2, 0).isclose(result[4]), "expected 2. fit point"
assert Vec3(3, 1, 0).isclose(result[8]), "expected 3. fit point"
def test_spline_interpolated_profiles():
p1 = forms.circle(12, radius=2, elevation=0, close=True)
p2 = forms.circle(12, radius=3, elevation=2, close=True)
p3 = forms.circle(12, radius=1, elevation=4, close=True)
p4 = forms.circle(12, radius=2, elevation=6, close=True)
profiles = list(
forms.spline_interpolated_profiles(
[Vec3.list(p) for p in [p1, p2, p3, p4]], subdivide=4
)
)
assert len(profiles) == 13 # 3*4 + 1
def test_from_profiles_splines():
p1 = list(forms.circle(12, radius=2, elevation=0, close=True))
p2 = list(forms.circle(12, radius=3, elevation=2, close=True))
p3 = list(forms.circle(12, radius=1, elevation=4, close=True))
p4 = list(forms.circle(12, radius=2, elevation=6, close=True))
mesh = forms.from_profiles_spline([p1, p2, p3, p4], subdivide=4, caps=True)
assert len(mesh.vertices) == 156 # 12 (circle) * 13 (profiles)
assert len(mesh.faces) == 146 # 12 (circle) * 12 + 2
def test_cone():
mesh = forms.cone(12, 2, apex=(0, 0, 3))
assert len(mesh.vertices) == 13
assert len(mesh.faces) == 13
def test_rotation_form():
profile = [(0, 0.1), (1, 1), (3, 1.5), (5, 3)] # in xy-plane
mesh = forms.rotation_form(
count=16, profile=profile, axis=(1, 0, 0)
) # rotation axis is the x-axis
assert len(mesh.vertices) == 16 * 4
assert len(mesh.faces) == 16 * 3
def test_translate():
p = [(1, 2, 3), (4, 5, 6)]
r = list(forms.translate(p, (3, 2, 1)))
assert r[0].isclose((4, 4, 4))
assert r[1].isclose((7, 7, 7))
def test_scale():
p = [(1, 2, 3), (4, 5, 6)]
r = list(forms.scale(p, (3, 2, 1)))
assert r[0].isclose((3, 4, 3))
assert r[1].isclose((12, 10, 6))
def test_rotate():
p = [(1, 0, 3), (0, 1, 6)]
r = list(forms.rotate(p, 90, deg=True))
assert r[0].isclose((0, 1, 3))
assert r[1].isclose((-1, 0, 6))
def test_square_by_radius():
corners = list(forms.ngon(4, radius=1))
assert len(corners) == 4
assert corners[0].isclose((1, 0, 0))
assert corners[1].isclose((0, 1, 0))
assert corners[2].isclose((-1, 0, 0))
assert corners[3].isclose((0, -1, 0))
def test_heptagon_by_edge_length():
corners = list(forms.ngon(7, length=10))
assert len(corners) == 7
assert corners[0].isclose((11.523824354812433, 0, 0))
assert corners[1].isclose((7.184986963636852, 9.009688679024192, 0))
assert corners[2].isclose((-2.564292158181384, 11.234898018587335, 0))
assert corners[3].isclose((-10.382606982861683, 5, 0))
assert corners[4].isclose((-10.382606982861683, -5, 0))
assert corners[5].isclose((-2.564292158181387, -11.234898018587335, 0))
assert corners[6].isclose((7.18498696363685, -9.009688679024192, 0))
class TestTorus:
def test_closed_torus_ngon_faces(self):
t = forms.torus(major_count=16, minor_count=8)
diag = t.diagnose()
assert diag.n_vertices == 16 * 8
assert diag.n_faces == 16 * 8
assert diag.is_manifold is True
def test_open_torus_ngon_faces(self):
t = forms.torus(major_count=16, minor_count=8, end_angle=math.pi)
diag = t.diagnose()
assert diag.n_vertices == 17 * 8
assert diag.n_faces == 16 * 8 + 2
assert diag.is_manifold is True
@pytest.mark.parametrize("r", [2, 1, -2])
def test_major_radius_is_bigger_than_minor_radius(self, r):
with pytest.raises(ValueError):
forms.torus(major_radius=1, minor_radius=r)
def test_major_radius_is_bigger_than_zero(self):
with pytest.raises(ValueError):
forms.torus(major_radius=0)
def test_minor_radius_is_bigger_than_zero(self):
with pytest.raises(ValueError):
forms.torus(minor_radius=0)
def test_intersection_profiles():
p0 = Vec3.list([(0, 0, 0), (1, 0, 0), (1, 1, 0), (0, 1, 0)])
p1 = Vec3.list([(0, 0, 1), (1, 0, 1), (1, 1, 1), (0, 1, 1)])
p2 = Vec3.list([(0, 0, 1), (0, 0, 2), (0, 1, 2), (0, 1, 1)])
p3 = Vec3.list([(-1, 0, 1), (-1, 0, 2), (-1, 1, 2), (-1, 1, 1)])
profiles = forms._intersection_profiles([p0, p2], [p1, p3])
assert profiles[0] == p0
assert (
close_vectors(profiles[1], [(0, 0, 1), (1, 0, 2), (1, 1, 2), (0, 1, 1)]) is True
)
assert profiles[2] == p3
class TestReferenceFrame:
def test_ref_z_in_x_axis(self):
ucs = forms.reference_frame_z(Vec3(1, 0, 0))
assert ucs.uy.isclose((0, 1, 0))
assert ucs.uz.isclose((1, 0, 0))
assert ucs.ux.isclose((0, 0, -1))
@pytest.mark.parametrize("n", [Vec3(0, 0, 1), Vec3(0, 0, -1)])
def test_ref_z_in_z_axis_raise_exception(self, n):
with pytest.raises(ZeroDivisionError):
forms.reference_frame_z(n)
def test_ref_ext_preserve_x(self):
frame = UCS()
ucs = forms.reference_frame_ext(frame)
assert ucs.ux.isclose((1, 0, 0))
assert ucs.uy.isclose((0, 1, 0))
assert ucs.uz.isclose((0, 0, 1))
def test_ref_ext_preserve_y(self):
# x-axis of previous reference frame is parallel to the Z_AXIS
frame = UCS(ux=(0, 0, 1), uy=(0, 1, 0))
ucs = forms.reference_frame_ext(frame)
assert ucs.ux.isclose((1, 0, 0))
assert ucs.uy.isclose((0, 1, 0))
assert ucs.uz.isclose((0, 0, 1))
class TestExtrude2:
def test_divide_path_count(self):
p = [Vec3(), Vec3(3, 0)]
assert len(forms._divide_path_into_steps(p, max_step_size=3)) == 2
assert len(forms._divide_path_into_steps(p, max_step_size=2)) == 3
assert len(forms._divide_path_into_steps(p, max_step_size=1)) == 4
assert len(forms._divide_path_into_steps(p, max_step_size=0.5)) == 7
def test_divide_path_vertices(self):
p = [Vec3(), Vec3(3, 0)]
assert (
close_vectors(
forms._divide_path_into_steps(p, 1.0),
Vec3.list([(0, 0), (1, 0), (2, 0), (3, 0)]),
)
is True
)
p = [Vec3(), Vec3(1, 0), Vec3(2, 0), Vec3(3, 0)]
assert (
close_vectors(
forms._divide_path_into_steps(p, 1.0),
Vec3.list([(0, 0), (1, 0), (2, 0), (3, 0)]),
)
is True
)
def test_divide_path_into_equally_spaced_segments(self):
p = [Vec3(), Vec3(1.5, 0), Vec3(3, 0)]
assert (
close_vectors(
forms._divide_path_into_steps(p, 1.0),
Vec3.list([(0, 0), (0.75, 0), (1.5, 0), (2.25, 0), (3, 0)]),
)
is True
)
def test_divide_path_has_to_include_all_source_vertices(self):
p = [Vec3(), Vec3(1, 0), Vec3(1.5, 0), Vec3(2, 0), Vec3(3, 0)]
assert (
close_vectors(
forms._divide_path_into_steps(p, 1.0),
Vec3.list([(0, 0), (1, 0), (1.5, 0), (2, 0), (3, 0)]),
)
is True
)
def test_partial_path_factors(self):
p = forms._partial_path_factors(
Vec3.list([(0, 0), (1, 0), (2, 0), (3, 0), (4, 0)])
)
assert p == pytest.approx([0, 0.25, 0.5, 0.75, 1.0])
def test_extrude_square_without_intermediate_profiles(self):
profile = forms.square(center=True)
path = [(0, 0), (10, 0)]
mesh = forms.extrude_twist_scale(profile, path, close=True, step_size=0.0)
assert len(mesh.vertices) == 8
def test_extrude_square_with_intermediate_profiles(self):
profile = forms.square(center=True)
path = [(0, 0), (0, 0, 10)]
mesh = forms.extrude_twist_scale(profile, path, close=True, step_size=1.0)
assert len(mesh.vertices) == 11 * 4
assert len(mesh.faces) == 10 * 4
def test_extrude_with_twist(self):
mesh = forms.extrude_twist_scale(
profile=forms.square(center=True),
path=[(0, 0), (0, 0, 10)],
close=True,
step_size=1.0,
twist=math.pi / 2,
)
assert close_vectors(
mesh.vertices[-4:],
[
Vec3(0.5, 0.5, 10.0),
Vec3(0.5, -0.5, 10.0),
Vec3(-0.5, 0.5, 10.0),
Vec3(-0.5, -0.5, 10.0),
],
)
def test_extrude_with_scale(self):
mesh = forms.extrude_twist_scale(
profile=forms.square(center=True),
path=[(0, 0), (0, 0, 10)],
close=True,
step_size=1.0,
scale=2.0,
)
assert close_vectors(
mesh.vertices[-4:],
[
Vec3(1.0, -1.0, 10.0),
Vec3(-1.0, -1.0, 10.0),
Vec3(1.0, 1.0, 10.0),
Vec3(-1.0, 1.0, 10.0),
],
)
@pytest.mark.parametrize("ccw", [True, False])
def test_helix_positive_pitch_goes_up(ccw):
bbox = BoundingBox(forms.helix(radius=2.0, pitch=1.0, turns=10, ccw=ccw))
assert bbox.extmax.isclose((2, 2, 10))
assert bbox.extmin.isclose((-2, -2, 0))
@pytest.mark.parametrize("ccw", [True, False])
def test_helix_negative_pitch_goes_down(ccw):
bbox = BoundingBox(forms.helix(radius=2.0, pitch=-1.0, turns=10, ccw=ccw))
assert bbox.extmax.isclose((2, 2, 0))
assert bbox.extmin.isclose((-2, -2, -10))
def test_turtle_turn_left():
vertices = list(forms.turtle("10 l 10 l 10"))
assert len(vertices) == 4
assert vertices[0] == Vec2(0, 0)
assert vertices[-1].isclose((0, 10))
def test_turtle_turn_right():
vertices = list(forms.turtle("10 r 10 r 10"))
assert len(vertices) == 4
assert vertices[0] == Vec2(0, 0)
assert vertices[-1].isclose((0, -10))
def test_turtle_move_relative():
vertices = list(forms.turtle("@10,10"))
assert len(vertices) == 2
assert vertices[-1].isclose((10, 10))
class TestCylinder2p:
def test_default_arguments(self):
cylinder = forms.cylinder_2p(16)
diag = cylinder.diagnose()
assert diag.n_faces == 16 + 2
def test_cylinder_height_of_0_raises_value_error(self):
with pytest.raises(ValueError):
forms.cylinder_2p(16, base_center=(0, 0, 0), top_center=(0, 0, 0))
@pytest.mark.parametrize(
"s,e",
[
[(1, 2, 3), (3, 2, 1)],
[(0, 0, -3), (0, 0, 3)],
[(0, 0, 3), (0, 0, -3)],
[(1, 0, 0), (3, 0, 0)],
[(-1, 0, 0), (-3, 0, 0)],
[(0, 1, 0), (0, 3, 0)],
[(0, -1, 0), (0, -3, 0)],
],
ids=[
"arbitrary",
"+z axis",
"-z axis",
"+x axis",
"-x axis",
"+y axis",
"-y axis",
],
)
def test_various_directions(self, s, e):
cylinder = forms.cylinder_2p(16, base_center=s, top_center=e)
diag = cylinder.diagnose()
assert diag.n_faces == 16 + 2
def test_final_location_for_negative_z_axis(self):
cylinder = forms.cylinder_2p(16, base_center=(0, 0, -2), top_center=(0, 0, -4))
bbox = cylinder.bbox()
assert bbox.extmax.isclose((1, 1, -2))
assert bbox.extmin.isclose((-1, -1, -4))
class TestCone2p:
def test_default_arguments(self):
cone = forms.cone_2p(16)
diag = cone.diagnose()
assert diag.n_faces == 16 + 1
def test_cylinder_height_of_0_raises_value_error(self):
with pytest.raises(ValueError):
forms.cone_2p(16, base_center=(0, 0, 0), apex=(0, 0, 0))
@pytest.mark.parametrize(
"s,e",
[
[(1, 2, 3), (3, 2, 1)],
[(0, 0, -3), (0, 0, 3)],
[(0, 0, 3), (0, 0, -3)],
[(1, 0, 0), (3, 0, 0)],
[(-1, 0, 0), (-3, 0, 0)],
[(0, 1, 0), (0, 3, 0)],
[(0, -1, 0), (0, -3, 0)],
],
ids=[
"arbitrary",
"+z axis",
"-z axis",
"+x axis",
"-x axis",
"+y axis",
"-y axis",
],
)
def test_various_directions(self, s, e):
cone = forms.cone_2p(16, base_center=s, apex=e)
diag = cone.diagnose()
assert diag.n_faces == 16 + 1
def test_final_location_for_negative_z_axis(self):
cone = forms.cone_2p(16, base_center=(0, 0, -2), apex=(0, 0, -4))
bbox = cone.bbox()
assert bbox.extmax.isclose((1, 1, -2))
assert bbox.extmin.isclose((-1, -1, -4))
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