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6 changed files with 88 additions and 70 deletions

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@ -562,7 +562,9 @@ def _shapes_to_elements(
xy = rint_cast(shape.offset + shape.vertices[0] + rep_offset)
deltas = rint_cast(numpy.diff(shape.vertices, axis=0))
half_width = rint_cast(shape.width / 2)
path_type = next(k for k, v in path_cap_map.items() if v == shape.cap) # reverse lookup
path_type = next((k for k, v in path_cap_map.items() if v == shape.cap), None) # reverse lookup
if path_type is None:
raise PatternError(f'OASIS writer does not support path cap {shape.cap}')
extension_start = (path_type, shape.cap_extensions[0] if shape.cap_extensions is not None else None)
extension_end = (path_type, shape.cap_extensions[1] if shape.cap_extensions is not None else None)
path = fatrec.Path(

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@ -268,7 +268,7 @@ class Arc(PositionableImpl, Shape):
""" Figure out the parameter values at which we should place vertices to meet the arclength constraint"""
dr = -wh if inner else wh
n_pts = numpy.ceil(2 * pi * max(self.radii + dr) / max_arclen).astype(int)
n_pts = max(2, int(numpy.ceil(2 * pi * max(self.radii + dr) / max_arclen)))
arc_lengths, thetas = get_arclens(n_pts, *a_ranges[0 if inner else 1], dr=dr)
keep = [0]
@ -313,77 +313,48 @@ class Arc(PositionableImpl, Shape):
return [poly]
def get_bounds_single(self) -> NDArray[numpy.float64]:
"""
Equation for rotated ellipse is
`x = x0 + a * cos(t) * cos(rot) - b * sin(t) * sin(phi)`
`y = y0 + a * cos(t) * sin(rot) + b * sin(t) * cos(rot)`
where `t` is our parameter.
Differentiating and solving for 0 slope wrt. `t`, we find
`tan(t) = -+ b/a cot(phi)`
where -+ is for x, y cases, so that's where the extrema are.
If the extrema are innaccessible due to arc constraints, check the arc endpoints instead.
"""
a_ranges = cast('_array2x2_t', self._angles_to_parameters())
sin_r = numpy.sin(self.rotation)
cos_r = numpy.cos(self.rotation)
mins = []
maxs = []
def point(rx: float, ry: float, tt: float) -> NDArray[numpy.float64]:
return numpy.array((
rx * numpy.cos(tt) * cos_r - ry * numpy.sin(tt) * sin_r,
rx * numpy.cos(tt) * sin_r + ry * numpy.sin(tt) * cos_r,
))
def points_in_interval(rx: float, ry: float, a0: float, a1: float) -> list[NDArray[numpy.float64]]:
candidates = [a0, a1]
if rx != 0 and ry != 0:
tx = numpy.arctan2(-ry * sin_r, rx * cos_r)
ty = numpy.arctan2(ry * cos_r, rx * sin_r)
candidates.extend((tx, tx + pi, ty, ty + pi))
lo = min(a0, a1)
hi = max(a0, a1)
pts = []
for base in candidates:
k_min = int(numpy.floor((lo - base) / (2 * pi))) - 1
k_max = int(numpy.ceil((hi - base) / (2 * pi))) + 1
for kk in range(k_min, k_max + 1):
tt = base + kk * 2 * pi
if lo <= tt <= hi:
pts.append(point(rx, ry, tt))
return pts
pts = []
for aa, sgn in zip(a_ranges, (-1, +1), strict=True):
wh = sgn * self.width / 2
rx = self.radius_x + wh
ry = self.radius_y + wh
if rx == 0 or ry == 0:
# Single point, at origin
mins.append([0, 0])
maxs.append([0, 0])
pts.append(numpy.zeros(2))
continue
pts.extend(points_in_interval(rx, ry, aa[0], aa[1]))
a0, a1 = aa
a0_offset = a0 - (a0 % (2 * pi))
sin_r = numpy.sin(self.rotation)
cos_r = numpy.cos(self.rotation)
sin_a = numpy.sin(aa)
cos_a = numpy.cos(aa)
# Cutoff angles
xpt = (-self.rotation) % (2 * pi) + a0_offset
ypt = (pi / 2 - self.rotation) % (2 * pi) + a0_offset
xnt = (xpt - pi) % (2 * pi) + a0_offset
ynt = (ypt - pi) % (2 * pi) + a0_offset
# Points along coordinate axes
rx2_inv = 1 / (rx * rx)
ry2_inv = 1 / (ry * ry)
xr = numpy.abs(cos_r * cos_r * rx2_inv + sin_r * sin_r * ry2_inv) ** -0.5
yr = numpy.abs(-sin_r * -sin_r * rx2_inv + cos_r * cos_r * ry2_inv) ** -0.5
# Arc endpoints
xn, xp = sorted(rx * cos_r * cos_a - ry * sin_r * sin_a)
yn, yp = sorted(rx * sin_r * cos_a + ry * cos_r * sin_a)
# If our arc subtends a coordinate axis, use the extremum along that axis
if abs(a1 - a0) >= 2 * pi:
xn, xp, yn, yp = -xr, xr, -yr, yr
else:
if a0 <= xpt <= a1 or a0 <= xpt + 2 * pi <= a1:
xp = xr
if a0 <= xnt <= a1 or a0 <= xnt + 2 * pi <= a1:
xn = -xr
if a0 <= ypt <= a1 or a0 <= ypt + 2 * pi <= a1:
yp = yr
if a0 <= ynt <= a1 or a0 <= ynt + 2 * pi <= a1:
yn = -yr
mins.append([xn, yn])
maxs.append([xp, yp])
return numpy.vstack((numpy.min(mins, axis=0) + self.offset,
numpy.max(maxs, axis=0) + self.offset))
all_pts = numpy.asarray(pts) + self.offset
return numpy.vstack((numpy.min(all_pts, axis=0),
numpy.max(all_pts, axis=0)))
def rotate(self, theta: float) -> 'Arc':
self.rotation += theta

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@ -108,7 +108,7 @@ class Circle(PositionableImpl, Shape):
n += [num_vertices]
if max_arclen is not None:
n += [2 * pi * self.radius / max_arclen]
num_vertices = int(round(max(n)))
num_vertices = max(3, int(round(max(n))))
thetas = numpy.linspace(2 * pi, 0, num_vertices, endpoint=False)
xs = numpy.cos(thetas) * self.radius
ys = numpy.sin(thetas) * self.radius

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@ -168,7 +168,7 @@ class Ellipse(PositionableImpl, Shape):
n += [num_vertices]
if max_arclen is not None:
n += [perimeter / max_arclen]
num_vertices = int(round(max(n)))
num_vertices = max(3, int(round(max(n))))
thetas = numpy.linspace(2 * pi, 0, num_vertices, endpoint=False)
sin_th, cos_th = (numpy.sin(thetas), numpy.cos(thetas))
@ -180,9 +180,13 @@ class Ellipse(PositionableImpl, Shape):
return [poly]
def get_bounds_single(self) -> NDArray[numpy.float64]:
rot_radii = numpy.dot(rotation_matrix_2d(self.rotation), self.radii)
return numpy.vstack((self.offset - rot_radii[0],
self.offset + rot_radii[1]))
cos_r = numpy.cos(self.rotation)
sin_r = numpy.sin(self.rotation)
x_extent = numpy.sqrt((self.radius_x * cos_r) ** 2 + (self.radius_y * sin_r) ** 2)
y_extent = numpy.sqrt((self.radius_x * sin_r) ** 2 + (self.radius_y * cos_r) ** 2)
extents = numpy.array((x_extent, y_extent))
return numpy.vstack((self.offset - extents,
self.offset + extents))
def rotate(self, theta: float) -> Self:
self.rotation += theta

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@ -1,9 +1,12 @@
import io
from pathlib import Path
import pytest
from numpy.testing import assert_equal
from ..error import PatternError
from ..pattern import Pattern
from ..library import Library
from ..shapes import Path as MPath
def test_oasis_roundtrip(tmp_path: Path) -> None:
@ -42,3 +45,16 @@ def test_oasis_properties_to_annotations_merges_repeated_keys() -> None:
)
assert annotations == {"k": [1, 2, 3]}
def test_oasis_write_rejects_circle_path_caps() -> None:
pytest.importorskip("fatamorgana")
from ..file import oasis
lib = Library()
pat = Pattern()
pat.path((1, 0), vertices=[[0, 0], [10, 0]], width=2, cap=MPath.Cap.Circle)
lib["cell1"] = pat
with pytest.raises(PatternError, match="does not support path cap"):
oasis.write(lib, io.BytesIO(), units_per_micron=1000)

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@ -97,6 +97,31 @@ def test_arc_edge_cases() -> None:
assert_allclose(bounds, [[-11, -11], [11, 11]], atol=1e-10)
def test_rotated_ellipse_bounds_match_polygonized_geometry() -> None:
ellipse = Ellipse(radii=(10, 20), rotation=pi / 4, offset=(100, 200))
bounds = ellipse.get_bounds_single()
poly_bounds = ellipse.to_polygons(num_vertices=8192)[0].get_bounds_single()
assert_allclose(bounds, poly_bounds, atol=1e-3)
def test_rotated_arc_bounds_match_polygonized_geometry() -> None:
arc = Arc(radii=(10, 20), angles=(0, pi), width=2, rotation=pi / 4, offset=(100, 200))
bounds = arc.get_bounds_single()
poly_bounds = arc.to_polygons(num_vertices=8192)[0].get_bounds_single()
assert_allclose(bounds, poly_bounds, atol=1e-3)
def test_curve_polygonizers_clamp_large_max_arclen() -> None:
for shape in (
Circle(radius=10),
Ellipse(radii=(10, 20)),
Arc(radii=(10, 20), angles=(0, 1), width=2),
):
polys = shape.to_polygons(num_vertices=None, max_arclen=1e9)
assert len(polys) == 1
assert len(polys[0].vertices) >= 3
def test_path_edge_cases() -> None:
# Zero-length segments
p = MPath(vertices=[[0, 0], [0, 0], [10, 0]], width=2)