def offset_polyline(polyline, distance, normal=[0.0, 0.0, 1.0], tol=1e-6):
"""Offset a polyline by a distance.
Parameters
----------
polyline : list of point
The XYZ coordinates of the vertices of a polyline.
distance : float or list of tuples of floats
The offset distance as float.
A single value determines a constant offset globally.
Alternatively, pairs of local offset values per line segment can be used to create variable offsets.
Distance > 0: offset to the "left", distance < 0: offset to the "right".
normal : vector
The normal of the offset plane.
Returns
-------
offset polyline : list of point
The XYZ coordinates of the resulting polyline.
"""
if not is_item_iterable(distance):
distance = [distance]
distances = iterable_like(polyline, distance, distance[-1])
segments = offset_segments(polyline, distances, normal)
offset = [segments[0][0]]
for s1, s2 in pairwise(segments):
point = intersect(s1, s2, tol)
offset.append(point)
offset.append(segments[-1][1])
return offset
def offset_line(line, distance, normal=[0.0, 0.0, 1.0]):
"""Offset a line by a distance.
Parameters
----------
line : tuple
Two points defining the line.
distances : float or list of floats
The offset distance as float.
A single value determines a constant offset. Alternatively, two
offset values for the start and end point of the line can be used to
a create variable offset.
normal : vector
The normal of the offset plane.
Returns
-------
offset line : tuple
Two points defining the offset line.
Notes
-----
The offset direction is chosen such that if the line were along the positve
X axis and the normal of the offset plane is along the positive Z axis, the
offset line is in the direction of the postive Y axis.
Examples
--------
.. code-block:: python
line = [(0.0, 0.0, 0.0), (3.0, 3.0, 0.0)]
distance = 0.2 # constant offset
line_offset = offset_line(line, distance)
print(line_offset)
distance = [0.2, 0.1] # variable offset
line_offset = offset_line(line, distance)
print(line_offset)
"""
a, b = line
ab = subtract_vectors(b, a)
direction = normalize_vector(cross_vectors(normal, ab))
if not is_item_iterable(distance):
distance = [distance]
distances = list(iterable_like(line, distance, distance[-1]))
u = scale_vector(direction, distances[0])
v = scale_vector(direction, distances[1])
c = add_vectors(a, u)
d = add_vectors(b, v)
return c, d
def offset_polygon(polygon, distance, tol=1e-6):
"""Offset a polygon (closed) by a distance.
Parameters
----------
polygon : sequence[point] | :class:`compas.geometry.Polygon`
The XYZ coordinates of the corners of the polygon.
The first and last coordinates must not be identical.
distance : float | list[tuple[float, float]]
The offset distance as float.
A single value determines a constant offset globally.
A list of pairs of local offset values per line segment can be used to create variable offsets.
tol : float, optional
A tolerance value for intersection calculations.
Returns
-------
list[[float, float, float]]
The XYZ coordinates of the corners of the offset polygon.
The first and last coordinates are identical.
Notes
-----
The offset direction is determined by the normal of the polygon.
If the polygon is in the XY plane and the normal is along the positive Z axis,
positive offset distances will result in an offset towards the inside of the
polygon.
The algorithm works also for spatial polygons that do not perfectly fit a plane.
Examples
--------
>>>
"""
normal = normal_polygon(polygon)
if not is_item_iterable(distance):
distance = [distance]
distances = iterable_like(polygon, distance, distance[-1])
polygon = polygon + polygon[:1]
segments = offset_segments(polygon, distances, normal)
offset = []
for s1, s2 in pairwise(segments[-1:] + segments):
point = intersect(s1, s2, tol)
offset.append(point)
return offset
def offset_polyline(polyline, distance, normal=[0.0, 0.0, 1.0], tol=1e-6):
"""Offset a polyline by a distance.
Parameters
----------
polyline : sequence[point] | :class:`compas.geometry.Polyline`
The XYZ coordinates of the vertices of a polyline.
distance : float | list[tuple[float, float]]
The offset distance as float.
A single value determines a constant offset globally.
Alternatively, pairs of local offset values per line segment can be used to create variable offsets.
normal : [float, float, float] | :class:`compas.geometry.Vector`, optional
The normal of the offset plane.
tol : float, optional
A tolerance value for intersection calculations.
Returns
-------
list[[float, float, float]]
The XYZ coordinates of the resulting polyline.
Notes
-----
The offset direction is determined by the provided normal vector.
If the polyline is in the XY plane and the normal is along the positive Z axis,
positive offset distances will result in counterclockwise offsets,
and negative values in clockwise direction.
Examples
--------
>>>
"""
if not is_item_iterable(distance):
distance = [distance]
distances = iterable_like(polyline, distance, distance[-1])
segments = offset_segments(polyline, distances, normal)
offset = [segments[0][0]]
for s1, s2 in pairwise(segments):
point = intersect(s1, s2, tol)
offset.append(point)
offset.append(segments[-1][1])
return offset
def offset_line(line, distance, normal=[0.0, 0.0, 1.0]):
"""Offset a line by a distance.
Parameters
----------
line : [point, point] | :class:`compas.geometry.Line`
A line defined by two points.
distances : float or list[float]
The offset distance as float.
A single value determines a constant offset.
A list of two offset values can be used to a create variable offset at the start and end.
normal : [float, float, float] | :class:`compas.geometry.Vector`, optional
The normal of the offset plane.
Returns
-------
tuple[[float, float, float], [float, float, float]]
Two points defining the offset line.
Notes
-----
The offset direction is chosen such that if the line were along the positve
X axis and the normal of the offset plane is along the positive Z axis, the
offset line is in the direction of the postive Y axis.
Examples
--------
>>>
"""
a, b = line
ab = subtract_vectors(b, a)
direction = normalize_vector(cross_vectors(normal, ab))
if not is_item_iterable(distance):
distance = [distance]
distances = list(iterable_like(line, distance, distance[-1]))
u = scale_vector(direction, distances[0])
v = scale_vector(direction, distances[1])
c = add_vectors(a, u)
d = add_vectors(b, v)
return c, d
def offset_polygon(polygon, distance, tol=1e-6):
"""Offset a polygon (closed) by a distance.
Parameters
----------
polygon : list of point
The XYZ coordinates of the corners of the polygon.
The first and last coordinates must not be identical.
distance : float or list of float
The offset distance as float.
A single value determines a constant offset globally.
Alternatively, pairs of local offset values per line segment can be used to create variable offsets.
Distance > 0: offset to the outside, distance < 0: offset to the inside.
Returns
-------
offset polygon : list of point
The XYZ coordinates of the corners of the offset polygon.
The first and last coordinates are identical.
Notes
-----
The offset direction is determined by the normal of the polygon.
If the polygon is in the XY plane and the normal is along the positive Z axis,
positive offset distances will result in an offset towards the inside of the
polygon.
The algorithm works also for spatial polygons that do not perfectly fit a plane.
Examples
--------
.. code-block:: python
polygon = [
(0.0, 0.0, 0.0),
(3.0, 0.0, 1.0),
(3.0, 3.0, 2.0),
(1.5, 1.5, 2.0),
(0.0, 3.0, 1.0),
(0.0, 0.0, 0.0)
]
distance = 0.5 # constant offset
polygon_offset = offset_polygon(polygon, distance)
print(polygon_offset)
distance = [
(0.1, 0.2),
(0.2, 0.3),
(0.3, 0.4),
(0.4, 0.3),
(0.3, 0.1)
] # variable offset
polygon_offset = offset_polygon(polygon, distance)
print(polygon_offset)
"""
normal = normal_polygon(polygon)
if not is_item_iterable(distance):
distance = [distance]
distances = iterable_like(polygon, distance, distance[-1])
polygon = polygon + polygon[:1]
segments = offset_segments(polygon, distances, normal)
offset = []
for s1, s2 in pairwise(segments[-1:] + segments):
point = intersect(s1, s2, tol)
offset.append(point)
return offset