Provided by: gdspy-doc_1.4.2-2_all 
NAME
gdspy - gdspy Documentation
gdspy is a Python module that allows the creation of GDSII stream files.
Most features of the GDSII format are implemented, including support for polygons with any
number of vertices.
GDSII format references:
• http://boolean.klaasholwerda.nl/interface/bnf/gdsformat.html
• http://www.artwork.com/gdsii/gdsii/
• http://www.buchanan1.net/stream_description.html
For installation instructions and other information, please check out the GitHub
repository or the README file included with the source.
GETTING STARTED
GDSII files contain a hierarchical representation of any polygonal geometry. They are
mainly used in the microelectronics industry for the design of mask layouts, but are also
employed in other areas.
Because it is a hierarchical format, repeated structures, such as identical transistors,
can be defined once and referenced multiple times in the layout, reducing the file size.
There is one important limitation in the GDSII format: it only supports weakly simple
polygons, that is, polygons whose segments are allowed to intersect, but not cross.
In particular, curves and shapes with holes are not directly supported. Holes can be
defined, nonetheless, by connecting their boundary to the boundary of the enclosing shape.
In the case of curves, they must be approximated by a polygon. The number of points in
the polygonal approximation can be increased to better approximate the original curve up
to some acceptable error.
The original GDSII format limits the number of vertices in a polygon to 199. Most modern
software disregards this limit and allows an arbitrary number of points per polygon.
Gdspy follows the modern version of GDSII, but this is an important issue to keep in mind
if the generated file is to be used in older systems.
The units used to represent shapes in the GDSII format are defined by the user. The
default unit in gdspy is 1 µm (10⁻⁶ m), but that can be easily changed by the user.
First GDSII
Let's create our first GDSII file:
import gdspy
# Create the geometry: a single rectangle.
rect = gdspy.Rectangle((0, 0), (2, 1))
cell = gdspy.Cell('FIRST')
cell.add(rect)
# Save all created cells in file 'first.gds'.
gdspy.write_gds('first.gds')
# Optionally, display all cells using the internal viewer.
gdspy.LayoutViewer()
After importing the gdspy module, we create a gdspy.Rectangle with opposing corners at
positions (0, 0) and (2, 1).
Then a gdspy.Cell is created and the rectangle is added to the cell. All shapes in the
GDSII format exist inside cells. A cell can be imagined as a piece of paper where the
layout will be defined. Later, the cells can be used to create a hierarchy of geometries,
ass we'll see in References.
Finally, the whole structure is saved in a file called "first.gds" in the current
directory. By default, all created cells are included in this operation.
The GDSII file can be opened in a number of viewers and editors, such as KLayout.
Alternatively, gdspy includes a simple viewer that can also be used: gdspy.LayoutViewer.
Polygons
General polygons can be defined by an ordered list of vertices. The orientation of the
vertices (clockwise/counter-clockwise) is not important.
# Create a polygon from a list of vertices
points = [(0, 0), (2, 2), (2, 6), (-6, 6), (-6, -6), (-4, -4), (-4, 4), (0, 4)]
poly = gdspy.Polygon(points)
[image]
Holes
As mentioned in Getting Started, holes have to be connected to the outer boundary of the
polygon, as in the following example:
# Manually connect the hole to the outer boundary
cutout = gdspy.Polygon(
[(0, 0), (5, 0), (5, 5), (0, 5), (0, 0), (2, 2), (2, 3), (3, 3), (3, 2), (2, 2)]
)
[image]
Circles
The gdspy.Round class creates circles, ellipses, doughnuts, arcs and slices. In all
cases, the arguments tolerance or number_of_points will control the number of vertices
used to approximate the curved shapes.
If the number of vertices in the polygon is larger than max_points (199 by default), it
will be fractured in many smaller polygons with at most max_points vertices each.
# Circle centered at (0, 0), with radius 2 and tolerance 0.1
circle = gdspy.Round((0, 0), 2, tolerance=0.01)
# To create an ellipse, simply pass a list with 2 radii.
# Because the tolerance is small (resulting a large number of
# vertices), the ellipse is fractured in 2 polygons.
ellipse = gdspy.Round((4, 0), [1, 2], tolerance=1e-4)
# Circular arc example
arc = gdspy.Round(
(2, 4),
2,
inner_radius=1,
initial_angle=-0.2 * numpy.pi,
final_angle=1.2 * numpy.pi,
tolerance=0.01,
)
[image]
Curves
Constructing complex polygons by manually listing all vertices in gdspy.Polygon can be
challenging. The class gdspy.Curve can be used to facilitate the creation of polygons by
drawing their shapes step-by-step. It uses a syntax similar to the SVG path
specification.
A short summary of the available methods is presented below:
┌───────┬───────────────────────────────┐
│Method │ Primitive │
├───────┼───────────────────────────────┤
│L/l │ Line segments │
├───────┼───────────────────────────────┤
│H/h │ Horizontal line segments │
├───────┼───────────────────────────────┤
│V/v │ Vertical line segments │
├───────┼───────────────────────────────┤
│C/c │ Cubic Bezier curve │
├───────┼───────────────────────────────┤
│S/s │ Smooth cubic Bezier curve │
├───────┼───────────────────────────────┤
│Q/q │ Quadratic Bezier curve │
├───────┼───────────────────────────────┤
│T/t │ Smooth quadratic Bezier curve │
├───────┼───────────────────────────────┤
│B/b │ General degree Bezier curve │
├───────┼───────────────────────────────┤
│I/i │ Smooth interpolating curve │
├───────┼───────────────────────────────┤
│arc │ Elliptical arc │
└───────┴───────────────────────────────┘
The uppercase version of the methods considers that all coordinates are absolute, whereas
the lowercase considers that they are relative to the current end point of the curve.
Except for gdspy.Curve.I(), gdspy.Curve.i() and gdspy.Curve.arc(), they accept variable
numbers of arguments that are used as coordinates to construct the primitive.
# Construct a curve made of a sequence of line segments
c1 = gdspy.Curve(0, 0).L(1, 0, 2, 1, 2, 2, 0, 2)
p1 = gdspy.Polygon(c1.get_points())
# Construct another curve using relative coordinates
c2 = gdspy.Curve(3, 1).l(1, 0, 2, 1, 2, 2, 0, 2)
p2 = gdspy.Polygon(c2.get_points())
[image]
Coordinate pairs can be given as a complex number: real and imaginary parts are used as x
and y coordinates, respectively. That is useful to define points in polar coordinates.
Elliptical arcs have syntax similar to gdspy.Round, but they allow for an extra rotation
of the major axis of the ellipse.
# Use complex numbers to facilitate writing polar coordinates
c3 = gdspy.Curve(0, 2).l(4 * numpy.exp(1j * numpy.pi / 6))
# Elliptical arcs have syntax similar to gdspy.Round
c3.arc((4, 2), 0.5 * numpy.pi, -0.5 * numpy.pi)
p3 = gdspy.Polygon(c3.get_points())
[image]
Other curves can be constructed as cubic, quadratic and general-degree Bezier curves.
Additionally, a smooth interpolating curve can be calculated with the methods
gdspy.Curve.I() and gdspy.Curve.i(), which have a number of arguments to control the shape
of the curve.
# Cubic Bezier curves can be easily created with C and c
c4 = gdspy.Curve(0, 0).c(1, 0, 1, 1, 2, 1)
# Smooth continuation with S or s
c4.s(1, 1, 0, 1).S(numpy.exp(1j * numpy.pi / 6), 0, 0)
p4 = gdspy.Polygon(c4.get_points())
# Similarly for quadratic Bezier curves
c5 = gdspy.Curve(5, 3).Q(3, 2, 3, 0, 5, 0, 4.5, 1).T(5, 3)
p5 = gdspy.Polygon(c5.get_points())
# Smooth interpolating curves can be built using I or i, including
# closed shapes
c6 = gdspy.Curve(0, 3).i([(1, 0), (2, 0), (1, -1)], cycle=True)
p6 = gdspy.Polygon(c6.get_points())
[image]
Transformations
All polygons can be transformed trough gdspy.PolygonSet.translate(),
gdspy.PolygonSet.rotate(), gdspy.PolygonSet.scale(), and gdspy.PolygonSet.mirror(). The
transformations are applied in-place, i.e., no polygons are created.
poly = gdspy.Rectangle((-2, -2), (2, 2))
poly.rotate(numpy.pi / 4)
poly.scale(1, 0.5)
[image]
Layer and Datatype
All shapes in the GDSII format are tagged with 2 properties: layer and datatype (or
texttype in the case of gdspy.Label). They are always 0 by default, but can be any
integer in the range from 0 to 255.
These properties have no predefined meaning. It is up to the system using the GDSII file
to chose with to do with those tags. For example, in the CMOS fabrication process, each
layer could represent a different lithography level.
In the example below, a single file stores different fabrication masks in separate layer
and datatype configurations.
# Layer/datatype definitions for each step in the fabrication
ld_fulletch = {"layer": 1, "datatype": 3}
ld_partetch = {"layer": 2, "datatype": 3}
ld_liftoff = {"layer": 0, "datatype": 7}
p1 = gdspy.Rectangle((-3, -3), (3, 3), **ld_fulletch)
p2 = gdspy.Rectangle((-5, -3), (-3, 3), **ld_partetch)
p3 = gdspy.Rectangle((5, -3), (3, 3), **ld_partetch)
p4 = gdspy.Round((0, 0), 2.5, number_of_points=6, **ld_liftoff)
[image]
References
References give the GDSII format its hierarchical features. They work by reusing a cell
content in another cell (without actually copying the whole geometry). As a simplistic
example, imagine the we are designing a simple electronic circuit that uses hundreds of
transistors, but they all have the same shape. We can draw the transistor just once and
reference it throughout the circuit, rotating or mirroring each instance as necessary.
Besides creating single references with gdspy.CellReference, it is possible to create full
2D arrays with a single entity using gdspy.CellArray. Both are exemplified below.
# Create a cell with a component that is used repeatedly
contact = gdspy.Cell("CONTACT")
contact.add([p1, p2, p3, p4])
# Create a cell with the complete device
device = gdspy.Cell("DEVICE")
device.add(cutout)
# Add 2 references to the component changing size and orientation
ref1 = gdspy.CellReference(contact, (3.5, 1), magnification=0.25)
ref2 = gdspy.CellReference(contact, (1, 3.5), magnification=0.25, rotation=90)
device.add([ref1, ref2])
# The final layout has several repetitions of the complete device
main = gdspy.Cell("MAIN")
main.add(gdspy.CellArray(device, 3, 2, (6, 7)))
[image]
Paths
Besides polygons, the GDSII format defines paths, witch are polygonal chains with
associated width and end caps. The width is a single number, constant throughout the
path, and the end caps can be flush, round, or extended by a custom distance.
There is no specification for the joins between adjacent segments, so it is up to the
system using the GDSII file to specify those. Usually the joins are straight extensions
of the path boundaries up to some beveling limit. Gdspy also uses this specification for
the joins.
It is possible to circumvent all of the above limitations within gdspy by storing paths as
polygons in the GDSII file. The disadvantage of this solution is that other software will
not be able to edit the geometry as paths, since that information is lost.
The construction of paths (either GDSII paths or polygonal paths) in gdspy is quite rich.
There are 3 classes that can be used depending on the requirements of the desired path.
Polygonal-Only Paths
The class gdspy.Path is designed to allow the creation of path-like polygons in a
piece-wise manner. It is the most computationally efficient class between the three
because it does not calculate joins. That means the user is responsible for designing the
joins. The paths can end up with discontinuities if care is not taken when creating them.
# Start a path at (0, 0) with width 1
path1 = gdspy.Path(1, (0, 0))
# Add a segment to the path goin in the '+y' direction
path1.segment(4, "+y")
# Further segments or turns will folow the current path direction
# to ensure continuity
path1.turn(2, "r")
path1.segment(1)
path1.turn(3, "rr")
[image]
Just as with Circles, all curved geometry is approximated by line segments. The number of
segments is similarly controlled by a tolerance or a number_of_points argument. Curves
also include fracturing to limit the number of points in each polygon.
More complex paths can be constructed with the methods gdspy.Path.bezier(),
gdspy.Path.smooth(), and gdspy.Path.parametric(). The example below demonstrates a couple
of possibilities.
path2 = gdspy.Path(0.5, (0, 0))
# Start the path with a smooth Bezier S-curve
path2.bezier([(0, 5), (5, 5), (5, 10)])
# We want to add a spiral curve to the path. The spiral is defined
# as a parametric curve. We make sure spiral(0) = (0, 0) so that
# the path is continuous.
def spiral(u):
r = 4 - 3 * u
theta = 5 * u * numpy.pi
x = r * numpy.cos(theta) - 4
y = r * numpy.sin(theta)
return (x, y)
# It is recommended to also define the derivative of the parametric
# curve, otherwise this derivative must be calculated nummerically.
# The derivative is used to define the side boundaries of the path,
# so, in this case, to ensure continuity with the existing S-curve,
# we make sure the the direction at the start of the spiral is
# pointing exactly upwards, as if is radius were constant.
# Additionally, the exact magnitude of the derivative is not
# important; gdspy only uses its direction.
def dspiral_dt(u):
theta = 5 * u * numpy.pi
dx_dt = -numpy.sin(theta)
dy_dt = numpy.cos(theta)
return (dx_dt, dy_dt)
# Add the parametric spiral to the path
path2.parametric(spiral, dspiral_dt)
[image]
The width of the path does not have to be constant. Each path component can linearly
taper the width of the path by using the final_width argument. In the case of a
parametric curve, more complex width changes can be created by setting final_width to a
function.
Finally, parallel paths can be created simultaneously with the help of arguments
number_of_paths, distance, and final_distance.
# Start 3 parallel paths with center-to-center distance of 1.5
path3 = gdspy.Path(0.1, (-5.5, 3), number_of_paths=3, distance=1.5)
# Add a segment tapering the widths up to 0.5
path3.segment(2, "-y", final_width=0.5)
# Add a bezier curve decreasing the distance between paths to 0.75
path3.bezier([(0, -2), (1, -3), (3, -3)], final_distance=0.75)
# Add a parametric section to modulate the width with a sinusoidal
# shape. Note that the algorithm that determines the number of
# evaluations of the parametric curve does not take the width into
# consideration, so we have to manually increase this parameter.
path3.parametric(
lambda u: (5 * u, 0),
lambda u: (1, 0),
final_width=lambda u: 0.4 + 0.1 * numpy.cos(10 * numpy.pi * u),
number_of_evaluations=256,
)
# Add a circular turn and a final tapering segment.
path3.turn(3, "l")
path3.segment(2, final_width=1, final_distance=1.5)
[image]
Flexible Paths
Although very efficient, gdspy.Path is limited in the type of path it can provide. For
example, if we simply want a path going through a sequence of points, we need a class that
can correctly compute the joins between segments. That's one of the advantages of class
gdspy.FlexPath. Other path construction methods are similar to those in gdspy.Path.
A few features of gdspy.FlexPath are:
• paths can be stored as proper GDSII paths;
• end caps and joins can be specified by the user;
• each parallel path can have a different width;
• spacing between parallel paths is arbitrary; the user specifies the offset of each path
individually.
# Path defined by a sequence of points and stored as a GDSII path
sp1 = gdspy.FlexPath(
[(0, 0), (3, 0), (3, 2), (5, 3), (3, 4), (0, 4)], 1, gdsii_path=True
)
# Other construction methods can still be used
sp1.smooth([(0, 2), (2, 2), (4, 3), (5, 1)], relative=True)
# Multiple parallel paths separated by 0.5 with different widths,
# end caps, and joins. Because of the join specification, they
# cannot be stared as GDSII paths, only as polygons.
sp2 = gdspy.FlexPath(
[(12, 0), (8, 0), (8, 3), (10, 2)],
[0.3, 0.2, 0.4],
0.5,
ends=["extended", "flush", "round"],
corners=["bevel", "miter", "round"],
)
sp2.arc(2, -0.5 * numpy.pi, 0.5 * numpy.pi)
sp2.arc(1, 0.5 * numpy.pi, 1.5 * numpy.pi)
[image]
The following example shows other features, such as width tapering, arbitrary offsets, and
custom joins and end caps.
# Path corners and end caps can be custom functions.
# This corner function creates 'broken' joins.
def broken(p0, v0, p1, v1, p2, w):
# Calculate intersection point p between lines defined by
# p0 + u0 * v0 (for all u0) and p1 + u1 * v1 (for all u1)
den = v1[1] * v0[0] - v1[0] * v0[1]
lim = 1e-12 * (v0[0] ** 2 + v0[1] ** 2) * (v1[0] ** 2 + v1[1] ** 2)
if den ** 2 < lim:
# Lines are parallel: use mid-point
u0 = u1 = 0
p = 0.5 * (p0 + p1)
else:
dx = p1[0] - p0[0]
dy = p1[1] - p0[1]
u0 = (v1[1] * dx - v1[0] * dy) / den
u1 = (v0[1] * dx - v0[0] * dy) / den
p = 0.5 * (p0 + v0 * u0 + p1 + v1 * u1)
if u0 <= 0 and u1 >= 0:
# Inner corner
return [p]
# Outer corner
return [p0, p2, p1]
# This end cap function creates pointy caps.
def pointy(p0, v0, p1, v1):
r = 0.5 * numpy.sqrt(numpy.sum((p0 - p1) ** 2))
v0 /= numpy.sqrt(numpy.sum(v0 ** 2))
v1 /= numpy.sqrt(numpy.sum(v1 ** 2))
return [p0, 0.5 * (p0 + p1) + 0.5 * (v0 - v1) * r, p1]
# Paths with arbitrary offsets from the center and multiple layers.
sp3 = gdspy.FlexPath(
[(0, 0), (0, 1)],
[0.1, 0.3, 0.5],
offset=[-0.2, 0, 0.4],
layer=[0, 1, 2],
corners=broken,
ends=pointy,
)
sp3.segment((3, 3), offset=[-0.5, -0.1, 0.5])
sp3.segment((4, 1), width=[0.2, 0.2, 0.2], offset=[-0.2, 0, 0.2])
sp3.segment((0, -1), relative=True)
[image]
The corner type 'circular bend' (together with the bend_radius argument) can be used to
automatically curve the path. This feature is used in Example: Integrated Photonics.
# Path created with automatic bends of radius 5
points = [(0, 0), (0, 10), (20, 0), (18, 15), (8, 15)]
sp4 = gdspy.FlexPath(
points, 0.5, corners="circular bend", bend_radius=5, gdsii_path=True
)
# Same path, generated with natural corners, for comparison
sp5 = gdspy.FlexPath(points, 0.5, layer=1, gdsii_path=True)
[image]
Robust Paths
In some situations, gdspy.FlexPath is unable to properly calculate all the joins. This
often happens when the width or offset of the path is relatively large with respect to the
length of the segments being joined. Curves that join other curves or segments at sharp
angles are an example of such situation.
The class gdspy.RobustPath can be used in such scenarios where robustness is more
important than efficiency due to sharp corners or large offsets in the paths. The
drawbacks of using gdspy.RobustPath are the loss in computation efficiency (compared to
the other 2 classes) and the impossibility of specifying corner shapes. The advantages
are, as mentioned earlier, more robustness when generating the final geometry, and freedom
to use custom functions to parameterize the widths or offsets of the paths in any
construction method.
# Create 4 parallel paths in different layers
lp = gdspy.RobustPath(
(50, 0),
[2, 0.5, 1, 1],
[0, 0, -1, 1],
ends=["extended", "round", "flush", "flush"],
layer=[0, 2, 1, 1],
)
lp.segment((45, 0))
lp.segment(
(5, 0),
width=[lambda u: 2 + 16 * u * (1 - u), 0.5, 1, 1],
offset=[
0,
lambda u: 8 * u * (1 - u) * numpy.cos(12 * numpy.pi * u),
lambda u: -1 - 8 * u * (1 - u),
lambda u: 1 + 8 * u * (1 - u),
],
)
lp.segment((0, 0))
lp.smooth(
[(5, 10)],
angles=[0.5 * numpy.pi, 0],
width=0.5,
offset=[-0.25, 0.25, -0.75, 0.75],
)
lp.parametric(
lambda u: numpy.array((45 * u, 4 * numpy.sin(6 * numpy.pi * u))),
offset=[
lambda u: -0.25 * numpy.cos(24 * numpy.pi * u),
lambda u: 0.25 * numpy.cos(24 * numpy.pi * u),
-0.75,
0.75,
],
)
[image]
Note that, analogously to gdspy.FlexPath, gdspy.RobustPath can be stored as a GDSII path
as long as its width is kept constant.
Text
In the context of a GDSII file, text is supported in the form of labels, which are ASCII
annotations placed somewhere in the geometry of a given cell. Similar to polygons, labels
are tagged with layer and texttype values (texttype is the label equivalent of the polygon
datatype). They are supported by the class gdspy.Label.
Additionally, gdspy offers the possibility of creating text as polygons to be included
with the geometry. The class gdspy.Text creates polygonal text that can be used in the
same way as any other polygons in gdspy. The font used to render the characters contains
only horizontal and vertical edges, which is important for some laser writing systems.
# Label anchored at (1, 3) by its north-west corner
label = gdspy.Label("Sample label", (1, 3), "nw")
# Horizontal text with height 2.25
htext = gdspy.Text("12345", 2.25, (0.25, 6))
# Vertical text with height 1.5
vtext = gdspy.Text("ABC", 1.5, (10.5, 4), horizontal=False)
rect = gdspy.Rectangle((0, 0), (10, 6), layer=10)
[image]
Geometry Operations
Gdspy offers a number of functions and methods to modify existing geometry. The most
useful operations include gdspy.boolean(), gdspy.slice(), gdspy.offset(), and
gdspy.PolygonSet.fillet().
Boolean Operations
Boolean operations (gdspy.boolean()) can be performed on polygons, paths and whole cells.
Four operations are defined: union ('or'), intersection ('and'), subtraction ('not'), and
symmetric subtraction ('xor').
They can be computationally expensive, so it is usually advisable to avoid using boolean
operations whenever possible. If they are necessary, keeping the number of vertices is
all polygons as low as possible also helps.
# Create some text
text = gdspy.Text("GDSPY", 4, (0, 0))
# Create a rectangle extending the text's bounding box by 1
bb = numpy.array(text.get_bounding_box())
rect = gdspy.Rectangle(bb[0] - 1, bb[1] + 1)
# Subtract the text from the rectangle
inv = gdspy.boolean(rect, text, "not")
[image]
Slice Operation
As the name indicates, a slice operation subdivides a set of polygons along horizontal or
vertical cut lines.
In a few cases, a boolean operation can be substituted by one or more slice operations.
Because gdspy.slice() is ususally much simpler than gdspy.boolean(), it is a good idea to
use the former if possible.
ring1 = gdspy.Round((-6, 0), 6, inner_radius=4)
ring2 = gdspy.Round((0, 0), 6, inner_radius=4)
ring3 = gdspy.Round((6, 0), 6, inner_radius=4)
# Slice the first ring across x=-3, the second ring across x=-3
# and x=3, and the third ring across x=3
slices1 = gdspy.slice(ring1, -3, axis=0)
slices2 = gdspy.slice(ring2, [-3, 3], axis=0)
slices3 = gdspy.slice(ring3, 3, axis=0)
slices = gdspy.Cell("SLICES")
# Keep only the left side of slices1, the center part of slices2
# and the right side of slices3
slices.add(slices1[0])
slices.add(slices2[1])
slices.add(slices3[1])
[image]
Offset Operation
The function gdspy.offset() expands or contracts polygons by a fixed amount. It can
operate on individual polygons or sets of them, in which case it may make sense to use the
argument join_first to operate on the whole geometry as if a boolean 'or' was executed
beforehand.
rect1 = gdspy.Rectangle((-4, -4), (1, 1))
rect2 = gdspy.Rectangle((-1, -1), (4, 4))
# Offset both polygons
# Because we join them first, a single polygon is created.
outer = gdspy.offset([rect1, rect2], 0.5, join_first=True, layer=1)
[image]
Fillet Operation
The method gdspy.PolygonSet.fillet() can be used to round polygon corners. It doesn't
have a join_first argument as gdspy.offset(), so if it will be used on a polygon, that
polygon should probably not be fractured.
multi_path = gdspy.Path(2, (-3, -2))
multi_path.segment(4, "+x")
multi_path.turn(2, "l").turn(2, "r")
multi_path.segment(4)
# Create a copy with joined polygons and no fracturing
joined = gdspy.boolean(multi_path, None, "or", max_points=0)
joined.translate(0, -5)
# Fillet applied to each polygon in the path
multi_path.fillet(0.5)
# Fillet applied to the joined copy
joined.fillet(0.5)
[image]
GDSII Library
All the information used to create a GDSII file is kept within an instance of GdsLibrary.
Besides all the geometric and hierarchical information, this class also holds a name and
the units for all entities. The name can be any ASCII string. It is simply stored in the
GDSII file and has no other purpose in gdspy. The units require some attention because
they can impact the resolution of the polygons in the library when written to a file.
Units in GDSII
Two values are defined: unit and precision. The value of unit defines the unit size—in
meters—for all entities in the library. For example, if unit = 1e-6 (10⁻⁶ m, the default
value), a vertex at (1, 2) should be interpreted as a vertex in real world position (1 ×
10⁻⁶ m, 2 × 10⁻⁶ m). If unit changes to 0.001, then that same vertex would be located (in
real world coordinates) at (0.001 m, 0.002 m), or (1 mm, 2 mm).
The value of precision has to do with the type used to store coordinates in the GDSII
file: signed 4-byte integers. Because of that, a finer coordinate grid than 1 unit is
usually desired to define coordinates. That grid is defined, in meters, by precision,
which defaults to 1e-9 (10⁻⁹ m). When the GDSII file is written, all vertices are snapped
to the grid defined by precision. For example, for the default values of unit and
precision, a vertex at (1.0512, 0.0001) represents real world coordinates (1.0512 × 10⁻⁶
m, 0.0001 × 10⁻⁶ m), or (1051.2 × 10⁻⁹ m, 0.1 × 10⁻⁹ m), which will be rounded to
integers: (1051 × 10⁻⁹ m, 0 × 10⁻⁹ m), or (1.051 × 10⁻⁶ m, 0 × 10⁻⁶ m). The actual
coordinate values written in the GDSII file will be the integers (1051, 0). By reducing
the value of precision from 10⁻⁹ m to 10⁻¹² m, for example, the coordinates will have 3
additional decimal places of precision, so the stored values would be (1051200, 100).
The downside of increasing the number of decimal places in the file is reducing the range
of coordinates that can be stored (in real world units). That is because the range of
coordinate values that can be written in the file are [-(2³²); 2³¹ - 1] = [-2,147,483,648;
2,147,483,647]. For the default precsision, this range is [-2.147483648 m; 2.147483647
m]. If precision is set to 10⁻¹² m, the same range is reduced by 1000 times:
[-2.147483648 mm; 2.147483647 mm].
Saving a GDSII File
To save a GDSII file, the easiest way is to use gdspy.write_gds(), as in the First GDSII.
That function accepts arguments unit and precision to change the default values, as
explained in the section above.
In reality, it calls the gdspy.GdsLibrary.write_gds() method from a global
gdspy.GdsLibrary instance: gdspy.current_library. This instance automatically holds all
cells created by gdspy unless specifically told not to with the argument
exclude_from_current set to True in gdspy.Cell.
That means that after saving a file, if a new GDSII library is to be started from scratch
using the global instance, it is important to reinitialize it with:
gdspy.current_library = gdspy.GdsLibrary()
Loading a GDSII File
To load an existing GDSII file (or to work simultaneously with multiple libraries), a new
instance of GdsLibrary can be created or an existing one can be used:
# Load a GDSII file into a new library
gdsii = gdspy.GdsLibrary(infile='filename.gds')
# Use the current global library to load the file
gdspy.current_library.read_gds('filename.gds')
In either case, care must be taken to merge the units from the library and the file, which
is controlled by the argument units in gdspy.GdsLibrary.read_gds() (keyword argument in
gdspy.GdsLibrary).
Access to the cells in the loaded library is provided through the dictionary
gdspy.GdsLibrary.cell_dict (cells indexed by name). The method
gdspy.GdsLibrary.top_level() can be used to find the top-level cells in the library (cells
on the top of the hierarchy, i.e., cell that are not referenced by any other cells) and
gdspy.GdsLibrary.extract() can be used to import a given cell and all of its dependencies
into gdspy.current_library.
Examples
Integrated Photonics
This example demonstrates the use of gdspy primitives to create more complex structures.
These structures are commonly used in the field of integrated photonics.
photonics.py
photonics.gds
######################################################################
# #
# Copyright 2009-2019 Lucas Heitzmann Gabrielli. #
# This file is part of gdspy, distributed under the terms of the #
# Boost Software License - Version 1.0. See the accompanying #
# LICENSE file or <http://www.boost.org/LICENSE_1_0.txt> #
# #
######################################################################
import numpy
import gdspy
def grating(period, number_of_teeth, fill_frac, width, position, direction, lda=1, sin_theta=0,
focus_distance=-1, focus_width=-1, tolerance=0.001, layer=0, datatype=0):
'''
Straight or focusing grating.
period : grating period
number_of_teeth : number of teeth in the grating
fill_frac : filling fraction of the teeth (w.r.t. the period)
width : width of the grating
position : grating position (feed point)
direction : one of {'+x', '-x', '+y', '-y'}
lda : free-space wavelength
sin_theta : sine of incidence angle
focus_distance : focus distance (negative for straight grating)
focus_width : if non-negative, the focusing area is included in
the result (usually for negative resists) and this
is the width of the waveguide connecting to the
grating
tolerance : same as in `path.parametric`
layer : GDSII layer number
datatype : GDSII datatype number
Return `PolygonSet`
'''
if focus_distance < 0:
p = gdspy.L1Path((position[0] - 0.5 * width,
position[1] + 0.5 * (number_of_teeth - 1 + fill_frac) * period),
'+x', period * fill_frac, [width], [], number_of_teeth, period,
layer=layer, datatype=datatype)
else:
neff = lda / float(period) + sin_theta
qmin = int(focus_distance / float(period) + 0.5)
p = gdspy.Path(period * fill_frac, position)
c3 = neff**2 - sin_theta**2
w = 0.5 * width
for q in range(qmin, qmin + number_of_teeth):
c1 = q * lda * sin_theta
c2 = (q * lda)**2
p.parametric(lambda t: (width * t - w,
(c1 + neff * numpy.sqrt(c2 - c3 * (width * t - w)**2)) / c3),
tolerance=tolerance, max_points=0, layer=layer, datatype=datatype)
p.x = position[0]
p.y = position[1]
sz = p.polygons[0].shape[0] // 2
if focus_width == 0:
p.polygons[0] = numpy.vstack((p.polygons[0][:sz, :], [position]))
elif focus_width > 0:
p.polygons[0] = numpy.vstack((p.polygons[0][:sz, :],
[(position[0] + 0.5 * focus_width, position[1]),
(position[0] - 0.5 * focus_width, position[1])]))
p.fracture()
if direction == '-x':
return p.rotate(0.5 * numpy.pi, position)
elif direction == '+x':
return p.rotate(-0.5 * numpy.pi, position)
elif direction == '-y':
return p.rotate(numpy.pi, position)
else:
return p
if __name__ == '__main__':
# Examples
# Negative resist example
width = 0.45
bend_radius = 50.0
ring_radius = 20.0
taper_len = 50.0
input_gap = 150.0
io_gap = 500.0
wg_gap = 20.0
ring_gaps = [0.06 + 0.02 * i for i in range(8)]
ring = gdspy.Cell('NRing')
ring.add(gdspy.Round((ring_radius, 0), ring_radius, ring_radius - width, tolerance=0.001))
grat = gdspy.Cell('NGrat')
grat.add(grating(0.626, 28, 0.5, 19, (0, 0), '+y', 1.55,
numpy.sin(numpy.pi * 8 / 180), 21.5, width,
tolerance=0.001))
taper = gdspy.Cell('NTaper')
taper.add(gdspy.Path(0.12, (0, 0)).segment(taper_len, '+y', final_width=width))
c = gdspy.Cell('Negative')
for i, gap in enumerate(ring_gaps):
path = gdspy.FlexPath([(input_gap * i, taper_len)], width=width,
corners='circular bend', bend_radius=bend_radius,
gdsii_path=True)
path.segment((0, 600 - wg_gap * i), relative=True)
path.segment((io_gap, 0), relative=True)
path.segment((0, 300 + wg_gap * i), relative=True)
c.add(path)
c.add(gdspy.CellReference(ring, (input_gap * i + width / 2 + gap, 300)))
c.add(gdspy.CellArray(taper, len(ring_gaps), 1, (input_gap, 0), (0, 0)))
c.add(gdspy.CellArray(grat, len(ring_gaps), 1, (input_gap, 0), (io_gap, 900 + taper_len)))
# Positive resist example
width = 0.45
ring_radius = 20.0
big_margin = 10.0
small_margin = 5.0
taper_len = 50.0
bus_len = 400.0
input_gap = 150.0
io_gap = 500.0
wg_gap = 20.0
ring_gaps = [0.06 + 0.02 * i for i in range(8)]
ring_margin = gdspy.Rectangle((0, -ring_radius - big_margin),
(2 * ring_radius + big_margin, ring_radius + big_margin))
ring_hole = gdspy.Round((ring_radius, 0), ring_radius, ring_radius - width, tolerance=0.001)
ring_bus = gdspy.Path(small_margin, (0, taper_len), number_of_paths=2,
distance=small_margin + width)
ring_bus.segment(bus_len, '+y')
p = gdspy.Path(small_margin, (0, 0), number_of_paths=2, distance=small_margin + width)
p.segment(21.5, '+y', final_distance=small_margin + 19)
grat = gdspy.Cell('PGrat').add(p)
grat.add(grating(0.626, 28, 0.5, 19, (0, 0), '+y', 1.55,
numpy.sin(numpy.pi * 8 / 180), 21.5, tolerance=0.001))
p = gdspy.Path(big_margin, (0, 0), number_of_paths=2, distance=big_margin + 0.12)
p.segment(taper_len, '+y', final_width=small_margin, final_distance=small_margin + width)
taper = gdspy.Cell('PTaper').add(p)
c = gdspy.Cell('Positive')
for i, gap in enumerate(ring_gaps):
path = gdspy.FlexPath([(input_gap * i, taper_len + bus_len)],
width=[small_margin, small_margin],
offset=small_margin + width, gdsii_path=True)
path.segment((0, 600 - bus_len - bend_radius - wg_gap * i), relative=True)
path.turn(bend_radius, 'r')
path.segment((io_gap - 2 * bend_radius, 0), relative=True)
path.turn(bend_radius, 'l')
path.segment((0, 300 - bend_radius + wg_gap * i), relative=True)
c.add(path)
dx = width / 2 + gap
c.add(gdspy.boolean(
gdspy.boolean(ring_bus, gdspy.copy(ring_margin, dx, 300), 'or', precision=1e-4),
gdspy.copy(ring_hole, dx, 300), 'not', precision=1e-4).translate(input_gap * i, 0))
c.add(gdspy.CellArray(taper, len(ring_gaps), 1, (input_gap, 0), (0, 0)))
c.add(gdspy.CellArray(grat, len(ring_gaps), 1, (input_gap, 0), (io_gap, 900 + taper_len)))
# Save to a gds file and check out the output
gdspy.write_gds('photonics.gds')
gdspy.LayoutViewer()
Using System Fonts
This example uses matplotlib to render text using any typeface present in the system. The
glyph paths are then transformed into polygon arrays that can be used to create
gdspy.PolygonSet objects.
fonts.py
fonts.gds
######################################################################
# #
# Copyright 2009-2019 Lucas Heitzmann Gabrielli. #
# This file is part of gdspy, distributed under the terms of the #
# Boost Software License - Version 1.0. See the accompanying #
# LICENSE file or <http://www.boost.org/LICENSE_1_0.txt> #
# #
######################################################################
from matplotlib.font_manager import FontProperties
from matplotlib.textpath import TextPath
import gdspy
def render_text(text, size=None, position=(0, 0), font_prop=None, tolerance=0.1):
path = TextPath(position, text, size=size, prop=font_prop)
polys = []
xmax = position[0]
for points, code in path.iter_segments():
if code == path.MOVETO:
c = gdspy.Curve(*points, tolerance=tolerance)
elif code == path.LINETO:
c.L(*points)
elif code == path.CURVE3:
c.Q(*points)
elif code == path.CURVE4:
c.C(*points)
elif code == path.CLOSEPOLY:
poly = c.get_points()
if poly.size > 0:
if poly[:, 0].min() < xmax:
i = len(polys) - 1
while i >= 0:
if gdspy.inside(poly[:1], [polys[i]], precision=0.1 * tolerance)[0]:
p = polys.pop(i)
poly = gdspy.boolean([p], [poly], 'xor', precision=0.1 * tolerance,
max_points=0).polygons[0]
break
elif gdspy.inside(polys[i][:1], [poly], precision=0.1 * tolerance)[0]:
p = polys.pop(i)
poly = gdspy.boolean([p], [poly], 'xor', precision=0.1 * tolerance,
max_points=0).polygons[0]
i -= 1
xmax = max(xmax, poly[:, 0].max())
polys.append(poly)
return polys
if __name__ == "__main__":
fp = FontProperties(family='serif', style='italic')
text = gdspy.PolygonSet(render_text('Text rendering', 10, font_prop=fp), layer=1)
gdspy.Cell('TXT').add(text)
gdspy.write_gds('fonts.gds')
gdspy.LayoutViewer()
API REFERENCE
Geometry Construction
PolygonSet
class gdspy.PolygonSet(polygons, layer=0, datatype=0)
Bases: object
Set of polygonal objects.
Parameters
• polygons (iterable of array-like[N][2]) -- List containing the coordinates
of the vertices of each polygon.
• layer (integer) -- The GDSII layer number for this element.
• datatype (integer) -- The GDSII datatype for this element (between 0 and
255).
Variables
• polygons (list of numpy array[N][2]) -- Coordinates of the vertices of
each polygon.
• layers (list of integer) -- The GDSII layer number for each element.
• datatypes (list of integer) -- The GDSII datatype for each element
(between 0 and 255).
Notes
The last point should not be equal to the first (polygons are
automatically closed).
The original GDSII specification supports only a maximum of 199 vertices
per polygon.
get_bounding_box()
Calculate the bounding box of the polygons.
Returns
out -- Bounding box of this polygon in the form [[x_min, y_min],
[x_max, y_max]], or None if the polygon is empty.
Return type
Numpy array[2, 2] or None
rotate(angle, center=(0, 0))
Rotate this object.
Parameters
• angle (number) -- The angle of rotation (in radians).
• center (array-like[2]) -- Center point for the rotation.
Returns
out -- This object.
Return type
PolygonSet
scale(scalex, scaley=None, center=(0, 0))
Scale this object.
Parameters
• scalex (number) -- Scaling factor along the first axis.
• scaley (number or None) -- Scaling factor along the second axis.
If None, same as scalex.
• center (array-like[2]) -- Center point for the scaling operation.
Returns
out -- This object.
Return type
PolygonSet
to_gds(multiplier)
Convert this object to a series of GDSII elements.
Parameters
multiplier (number) -- A number that multiplies all dimensions
written in the GDSII elements.
Returns
out -- The GDSII binary string that represents this object.
Return type
string
area(by_spec=False)
Calculate the total area of this polygon set.
Parameters
by_spec (bool) -- If True, the return value is a dictionary with
{(layer, datatype): area}.
Returns
out -- Area of this object.
Return type
number, dictionary
fracture(max_points=199, precision=0.001)
Slice these polygons in the horizontal and vertical directions so that each
resulting piece has at most max_points. This operation occurs in place.
Parameters
• max_points (integer) -- Maximal number of points in each resulting
polygon (at least 5 for the fracture to occur).
• precision (float) -- Desired precision for rounding vertice
coordinates.
Returns
out -- This object.
Return type
PolygonSet
fillet(radius, points_per_2pi=128, max_points=199, precision=0.001)
Round the corners of these polygons and fractures them into polygons with
less vertices if necessary.
Parameters
• radius (number, array-like) -- Radius of the corners. If number:
all corners filleted by that amount. If array: specify fillet
radii on a per-polygon basis (length must be equal to the number of
polygons in this PolygonSet). Each element in the array can be a
number (all corners filleted by the same amount) or another array
of numbers, one per polygon vertex. Alternatively, the array can
be flattened to have one radius per PolygonSet vertex.
• points_per_2pi (integer) -- Number of vertices used to approximate
a full circle. The number of vertices in each corner of the
polygon will be the fraction of this number corresponding to the
angle encompassed by that corner with respect to 2 pi.
• max_points (integer) -- Maximal number of points in each resulting
polygon (at least 5, otherwise the resulting polygon is not
fractured).
• precision (float) -- Desired precision for rounding vertice
coordinates in case of fracturing.
Returns
out -- This object.
Return type
PolygonSet
translate(dx, dy)
Translate this polygon.
Parameters
• dx (number) -- Distance to move in the x-direction.
• dy (number) -- Distance to move in the y-direction.
Returns
out -- This object.
Return type
PolygonSet
mirror(p1, p2=(0, 0))
Mirror the polygons over a line through points 1 and 2
Parameters
• p1 (array-like[2]) -- first point defining the reflection line
• p2 (array-like[2]) -- second point defining the reflection line
Returns
out -- This object.
Return type
PolygonSet
Polygon
class gdspy.Polygon(points, layer=0, datatype=0)
Bases: gdspy.PolygonSet
Polygonal geometric object.
Parameters
• points (array-like[N][2]) -- Coordinates of the vertices of the polygon.
• layer (integer) -- The GDSII layer number for this element.
• datatype (integer) -- The GDSII datatype for this element (between 0 and
255).
Notes
The last point should not be equal to the first (polygons are
automatically closed).
The original GDSII specification supports only a maximum of 199 vertices
per polygon.
Examples.sp
>>> triangle_pts = [(0, 40), (15, 40), (10, 50)]
>>> triangle = gdspy.Polygon(triangle_pts)
>>> myCell.add(triangle)
area(by_spec=False)
Calculate the total area of this polygon set.
Parameters
by_spec (bool) -- If True, the return value is a dictionary with
{(layer, datatype): area}.
Returns
out -- Area of this object.
Return type
number, dictionary
fillet(radius, points_per_2pi=128, max_points=199, precision=0.001)
Round the corners of these polygons and fractures them into polygons with
less vertices if necessary.
Parameters
• radius (number, array-like) -- Radius of the corners. If number:
all corners filleted by that amount. If array: specify fillet
radii on a per-polygon basis (length must be equal to the number of
polygons in this PolygonSet). Each element in the array can be a
number (all corners filleted by the same amount) or another array
of numbers, one per polygon vertex. Alternatively, the array can
be flattened to have one radius per PolygonSet vertex.
• points_per_2pi (integer) -- Number of vertices used to approximate
a full circle. The number of vertices in each corner of the
polygon will be the fraction of this number corresponding to the
angle encompassed by that corner with respect to 2 pi.
• max_points (integer) -- Maximal number of points in each resulting
polygon (at least 5, otherwise the resulting polygon is not
fractured).
• precision (float) -- Desired precision for rounding vertice
coordinates in case of fracturing.
Returns
out -- This object.
Return type
PolygonSet
fracture(max_points=199, precision=0.001)
Slice these polygons in the horizontal and vertical directions so that each
resulting piece has at most max_points. This operation occurs in place.
Parameters
• max_points (integer) -- Maximal number of points in each resulting
polygon (at least 5 for the fracture to occur).
• precision (float) -- Desired precision for rounding vertice
coordinates.
Returns
out -- This object.
Return type
PolygonSet
get_bounding_box()
Calculate the bounding box of the polygons.
Returns
out -- Bounding box of this polygon in the form [[x_min, y_min],
[x_max, y_max]], or None if the polygon is empty.
Return type
Numpy array[2, 2] or None
mirror(p1, p2=(0, 0))
Mirror the polygons over a line through points 1 and 2
Parameters
• p1 (array-like[2]) -- first point defining the reflection line
• p2 (array-like[2]) -- second point defining the reflection line
Returns
out -- This object.
Return type
PolygonSet
rotate(angle, center=(0, 0))
Rotate this object.
Parameters
• angle (number) -- The angle of rotation (in radians).
• center (array-like[2]) -- Center point for the rotation.
Returns
out -- This object.
Return type
PolygonSet
scale(scalex, scaley=None, center=(0, 0))
Scale this object.
Parameters
• scalex (number) -- Scaling factor along the first axis.
• scaley (number or None) -- Scaling factor along the second axis.
If None, same as scalex.
• center (array-like[2]) -- Center point for the scaling operation.
Returns
out -- This object.
Return type
PolygonSet
to_gds(multiplier)
Convert this object to a series of GDSII elements.
Parameters
multiplier (number) -- A number that multiplies all dimensions
written in the GDSII elements.
Returns
out -- The GDSII binary string that represents this object.
Return type
string
translate(dx, dy)
Translate this polygon.
Parameters
• dx (number) -- Distance to move in the x-direction.
• dy (number) -- Distance to move in the y-direction.
Returns
out -- This object.
Return type
PolygonSet
Rectangle
class gdspy.Rectangle(point1, point2, layer=0, datatype=0)
Bases: gdspy.PolygonSet
Rectangular geometric object.
Parameters
• point1 (array-like[2]) -- Coordinates of a corner of the rectangle.
• point2 (array-like[2]) -- Coordinates of the corner of the rectangle
opposite to point1.
• layer (integer) -- The GDSII layer number for this element.
• datatype (integer) -- The GDSII datatype for this element (between 0 and
255).
Examples.sp
>>> rectangle = gdspy.Rectangle((0, 0), (10, 20))
>>> myCell.add(rectangle)
area(by_spec=False)
Calculate the total area of this polygon set.
Parameters
by_spec (bool) -- If True, the return value is a dictionary with
{(layer, datatype): area}.
Returns
out -- Area of this object.
Return type
number, dictionary
fillet(radius, points_per_2pi=128, max_points=199, precision=0.001)
Round the corners of these polygons and fractures them into polygons with
less vertices if necessary.
Parameters
• radius (number, array-like) -- Radius of the corners. If number:
all corners filleted by that amount. If array: specify fillet
radii on a per-polygon basis (length must be equal to the number of
polygons in this PolygonSet). Each element in the array can be a
number (all corners filleted by the same amount) or another array
of numbers, one per polygon vertex. Alternatively, the array can
be flattened to have one radius per PolygonSet vertex.
• points_per_2pi (integer) -- Number of vertices used to approximate
a full circle. The number of vertices in each corner of the
polygon will be the fraction of this number corresponding to the
angle encompassed by that corner with respect to 2 pi.
• max_points (integer) -- Maximal number of points in each resulting
polygon (at least 5, otherwise the resulting polygon is not
fractured).
• precision (float) -- Desired precision for rounding vertice
coordinates in case of fracturing.
Returns
out -- This object.
Return type
PolygonSet
fracture(max_points=199, precision=0.001)
Slice these polygons in the horizontal and vertical directions so that each
resulting piece has at most max_points. This operation occurs in place.
Parameters
• max_points (integer) -- Maximal number of points in each resulting
polygon (at least 5 for the fracture to occur).
• precision (float) -- Desired precision for rounding vertice
coordinates.
Returns
out -- This object.
Return type
PolygonSet
get_bounding_box()
Calculate the bounding box of the polygons.
Returns
out -- Bounding box of this polygon in the form [[x_min, y_min],
[x_max, y_max]], or None if the polygon is empty.
Return type
Numpy array[2, 2] or None
mirror(p1, p2=(0, 0))
Mirror the polygons over a line through points 1 and 2
Parameters
• p1 (array-like[2]) -- first point defining the reflection line
• p2 (array-like[2]) -- second point defining the reflection line
Returns
out -- This object.
Return type
PolygonSet
rotate(angle, center=(0, 0))
Rotate this object.
Parameters
• angle (number) -- The angle of rotation (in radians).
• center (array-like[2]) -- Center point for the rotation.
Returns
out -- This object.
Return type
PolygonSet
scale(scalex, scaley=None, center=(0, 0))
Scale this object.
Parameters
• scalex (number) -- Scaling factor along the first axis.
• scaley (number or None) -- Scaling factor along the second axis.
If None, same as scalex.
• center (array-like[2]) -- Center point for the scaling operation.
Returns
out -- This object.
Return type
PolygonSet
to_gds(multiplier)
Convert this object to a series of GDSII elements.
Parameters
multiplier (number) -- A number that multiplies all dimensions
written in the GDSII elements.
Returns
out -- The GDSII binary string that represents this object.
Return type
string
translate(dx, dy)
Translate this polygon.
Parameters
• dx (number) -- Distance to move in the x-direction.
• dy (number) -- Distance to move in the y-direction.
Returns
out -- This object.
Return type
PolygonSet
Round
class gdspy.Round(center, radius, inner_radius=0, initial_angle=0, final_angle=0,
tolerance=0.01, number_of_points=None, max_points=199, layer=0, datatype=0)
Bases: gdspy.PolygonSet
Circular geometric object.
Represent a circle, ellipse, ring or their sections.
Parameters
• center (array-like[2]) -- Coordinates of the center of the circle/ring.
• radius (number, array-like[2]) -- Radius of the circle/outer radius of the
ring. To build an ellipse an array of 2 numbers can be used, representing
the radii in the horizontal and vertical directions.
• inner_radius (number, array-like[2]) -- Inner radius of the ring. To build
an elliptical hole, an array of 2 numbers can be used, representing the
radii in the horizontal and vertical directions.
• initial_angle (number) -- Initial angle of the circular/ring section (in
radians).
• final_angle (number) -- Final angle of the circular/ring section (in
radians).
• tolerance (float) -- Approximate curvature resolution. The number of
points is automatically calculated.
• number_of_points (integer or None) -- Manually define the number of
vertices that form the object (polygonal approximation). Overrides
tolerance.
• max_points (integer) -- If the number of points in the element is greater
than max_points, it will be fractured in smaller polygons with at most
max_points each. If max_points is zero no fracture will occur.
• layer (integer) -- The GDSII layer number for this element.
• datatype (integer) -- The GDSII datatype for this element (between 0 and
255).
Notes
The original GDSII specification supports only a maximum of 199 vertices
per polygon.
Examples.sp
>>> circle = gdspy.Round((30, 5), 8)
>>> ell_ring = gdspy.Round((50, 5), (8, 7), inner_radius=(5, 4))
>>> pie_slice = gdspy.Round((30, 25), 8, initial_angle=0,
... final_angle=-5.0*numpy.pi/6.0)
>>> arc = gdspy.Round((50, 25), 8, inner_radius=5,
... initial_angle=-5.0*numpy.pi/6.0,
... final_angle=0)
area(by_spec=False)
Calculate the total area of this polygon set.
Parameters
by_spec (bool) -- If True, the return value is a dictionary with
{(layer, datatype): area}.
Returns
out -- Area of this object.
Return type
number, dictionary
fillet(radius, points_per_2pi=128, max_points=199, precision=0.001)
Round the corners of these polygons and fractures them into polygons with
less vertices if necessary.
Parameters
• radius (number, array-like) -- Radius of the corners. If number:
all corners filleted by that amount. If array: specify fillet
radii on a per-polygon basis (length must be equal to the number of
polygons in this PolygonSet). Each element in the array can be a
number (all corners filleted by the same amount) or another array
of numbers, one per polygon vertex. Alternatively, the array can
be flattened to have one radius per PolygonSet vertex.
• points_per_2pi (integer) -- Number of vertices used to approximate
a full circle. The number of vertices in each corner of the
polygon will be the fraction of this number corresponding to the
angle encompassed by that corner with respect to 2 pi.
• max_points (integer) -- Maximal number of points in each resulting
polygon (at least 5, otherwise the resulting polygon is not
fractured).
• precision (float) -- Desired precision for rounding vertice
coordinates in case of fracturing.
Returns
out -- This object.
Return type
PolygonSet
fracture(max_points=199, precision=0.001)
Slice these polygons in the horizontal and vertical directions so that each
resulting piece has at most max_points. This operation occurs in place.
Parameters
• max_points (integer) -- Maximal number of points in each resulting
polygon (at least 5 for the fracture to occur).
• precision (float) -- Desired precision for rounding vertice
coordinates.
Returns
out -- This object.
Return type
PolygonSet
get_bounding_box()
Calculate the bounding box of the polygons.
Returns
out -- Bounding box of this polygon in the form [[x_min, y_min],
[x_max, y_max]], or None if the polygon is empty.
Return type
Numpy array[2, 2] or None
mirror(p1, p2=(0, 0))
Mirror the polygons over a line through points 1 and 2
Parameters
• p1 (array-like[2]) -- first point defining the reflection line
• p2 (array-like[2]) -- second point defining the reflection line
Returns
out -- This object.
Return type
PolygonSet
rotate(angle, center=(0, 0))
Rotate this object.
Parameters
• angle (number) -- The angle of rotation (in radians).
• center (array-like[2]) -- Center point for the rotation.
Returns
out -- This object.
Return type
PolygonSet
scale(scalex, scaley=None, center=(0, 0))
Scale this object.
Parameters
• scalex (number) -- Scaling factor along the first axis.
• scaley (number or None) -- Scaling factor along the second axis.
If None, same as scalex.
• center (array-like[2]) -- Center point for the scaling operation.
Returns
out -- This object.
Return type
PolygonSet
to_gds(multiplier)
Convert this object to a series of GDSII elements.
Parameters
multiplier (number) -- A number that multiplies all dimensions
written in the GDSII elements.
Returns
out -- The GDSII binary string that represents this object.
Return type
string
translate(dx, dy)
Translate this polygon.
Parameters
• dx (number) -- Distance to move in the x-direction.
• dy (number) -- Distance to move in the y-direction.
Returns
out -- This object.
Return type
PolygonSet
Text
class gdspy.Text(text, size, position=(0, 0), horizontal=True, angle=0, layer=0,
datatype=0)
Bases: gdspy.PolygonSet
Polygonal text object.
Each letter is formed by a series of polygons.
Parameters
• text (string) -- The text to be converted in geometric objects.
• size (number) -- Height of the character. The width of a character and
the distance between characters are this value multiplied by 5 / 9 and 8 /
9, respectively. For vertical text, the distance is multiplied by 11 / 9.
• position (array-like[2]) -- Text position (lower left corner).
• horizontal (bool) -- If True, the text is written from left to right; if
False, from top to bottom.
• angle (number) -- The angle of rotation of the text.
• layer (integer) -- The GDSII layer number for these elements.
• datatype (integer) -- The GDSII datatype for this element (between 0 and
255).
Examples.sp
>>> text = gdspy.Text('Sample text', 20, (-10, -100))
>>> myCell.add(text)
area(by_spec=False)
Calculate the total area of this polygon set.
Parameters
by_spec (bool) -- If True, the return value is a dictionary with
{(layer, datatype): area}.
Returns
out -- Area of this object.
Return type
number, dictionary
fillet(radius, points_per_2pi=128, max_points=199, precision=0.001)
Round the corners of these polygons and fractures them into polygons with
less vertices if necessary.
Parameters
• radius (number, array-like) -- Radius of the corners. If number:
all corners filleted by that amount. If array: specify fillet
radii on a per-polygon basis (length must be equal to the number of
polygons in this PolygonSet). Each element in the array can be a
number (all corners filleted by the same amount) or another array
of numbers, one per polygon vertex. Alternatively, the array can
be flattened to have one radius per PolygonSet vertex.
• points_per_2pi (integer) -- Number of vertices used to approximate
a full circle. The number of vertices in each corner of the
polygon will be the fraction of this number corresponding to the
angle encompassed by that corner with respect to 2 pi.
• max_points (integer) -- Maximal number of points in each resulting
polygon (at least 5, otherwise the resulting polygon is not
fractured).
• precision (float) -- Desired precision for rounding vertice
coordinates in case of fracturing.
Returns
out -- This object.
Return type
PolygonSet
fracture(max_points=199, precision=0.001)
Slice these polygons in the horizontal and vertical directions so that each
resulting piece has at most max_points. This operation occurs in place.
Parameters
• max_points (integer) -- Maximal number of points in each resulting
polygon (at least 5 for the fracture to occur).
• precision (float) -- Desired precision for rounding vertice
coordinates.
Returns
out -- This object.
Return type
PolygonSet
get_bounding_box()
Calculate the bounding box of the polygons.
Returns
out -- Bounding box of this polygon in the form [[x_min, y_min],
[x_max, y_max]], or None if the polygon is empty.
Return type
Numpy array[2, 2] or None
mirror(p1, p2=(0, 0))
Mirror the polygons over a line through points 1 and 2
Parameters
• p1 (array-like[2]) -- first point defining the reflection line
• p2 (array-like[2]) -- second point defining the reflection line
Returns
out -- This object.
Return type
PolygonSet
rotate(angle, center=(0, 0))
Rotate this object.
Parameters
• angle (number) -- The angle of rotation (in radians).
• center (array-like[2]) -- Center point for the rotation.
Returns
out -- This object.
Return type
PolygonSet
scale(scalex, scaley=None, center=(0, 0))
Scale this object.
Parameters
• scalex (number) -- Scaling factor along the first axis.
• scaley (number or None) -- Scaling factor along the second axis.
If None, same as scalex.
• center (array-like[2]) -- Center point for the scaling operation.
Returns
out -- This object.
Return type
PolygonSet
to_gds(multiplier)
Convert this object to a series of GDSII elements.
Parameters
multiplier (number) -- A number that multiplies all dimensions
written in the GDSII elements.
Returns
out -- The GDSII binary string that represents this object.
Return type
string
translate(dx, dy)
Translate this polygon.
Parameters
• dx (number) -- Distance to move in the x-direction.
• dy (number) -- Distance to move in the y-direction.
Returns
out -- This object.
Return type
PolygonSet
Path
class gdspy.Path(width, initial_point=(0, 0), number_of_paths=1, distance=0)
Bases: gdspy.PolygonSet
Series of geometric objects that form a path or a collection of parallel paths.
Parameters
• width (number) -- The width of each path.
• initial_point (array-like[2]) -- Starting position of the path.
• number_of_paths (positive integer) -- Number of parallel paths to create
simultaneously.
• distance (number) -- Distance between the centers of adjacent paths.
Variables
• x (number) -- Current position of the path in the x direction.
• y (number) -- Current position of the path in the y direction.
• w (number) -- Half-width of each path.
• n (integer) -- Number of parallel paths.
• direction ('+x', '-x', '+y', '-y' or number) -- Direction or angle (in
radians) the path points to.
• distance (number) -- Distance between the centers of adjacent paths.
• length (number) -- Length of the central path axis. If only one path is
created, this is the real length of the path.
translate(dx, dy)
Translate this object.
Parameters
• dx (number) -- Distance to move in the x-direction.
• dy (number) -- Distance to move in the y-direction.
Returns
out -- This object.
Return type
Path
rotate(angle, center=(0, 0))
Rotate this object.
Parameters
• angle (number) -- The angle of rotation (in radians).
• center (array-like[2]) -- Center point for the rotation.
Returns
out -- This object.
Return type
Path
scale(scalex, scaley=None, center=(0, 0))
Scale this object.
Parameters
• scalex (number) -- Scaling factor along the first axis.
• scaley (number or None) -- Scaling factor along the second axis.
If None, same as scalex.
• center (array-like[2]) -- Center point for the scaling operation.
Returns
out -- This object.
Return type
Path
Notes
The direction of the path is not modified by this method and its
width is scaled only by scalex.
mirror(p1, p2=(0, 0))
Mirror the polygons over a line through points 1 and 2
Parameters
• p1 (array-like[2]) -- first point defining the reflection line
• p2 (array-like[2]) -- second point defining the reflection line
Returns
out -- This object.
Return type
Path
segment(length, direction=None, final_width=None, final_distance=None,
axis_offset=0, layer=0, datatype=0)
Add a straight section to the path.
Parameters
• length (number) -- Length of the section to add.
• direction ('+x', '-x', '+y', '-y' or number) -- Direction or angle
(in radians) of rotation of the segment.
• final_width (number) -- If set, the paths of this segment will have
their widths linearly changed from their current value to this one.
• final_distance (number) -- If set, the distance between paths is
linearly change from its current value to this one along this
segment.
• axis_offset (number) -- If set, the paths will be offset from their
direction by this amount.
• layer (integer, list) -- The GDSII layer numbers for the elements
of each path. If the number of layers in the list is less than the
number of paths, the list is repeated.
• datatype (integer, list) -- The GDSII datatype for the elements of
each path (between 0 and 255). If the number of datatypes in the
list is less than the number of paths, the list is repeated.
Returns
out -- This object.
Return type
Path
arc(radius, initial_angle, final_angle, tolerance=0.01, number_of_points=None,
max_points=199, final_width=None, final_distance=None, layer=0, datatype=0)
Add a curved section to the path.
Parameters
• radius (number) -- Central radius of the section.
• initial_angle (number) -- Initial angle of the curve (in radians).
• final_angle (number) -- Final angle of the curve (in radians).
• tolerance (float) -- Approximate curvature resolution. The number
of points is automatically calculated.
• number_of_points (integer or None) -- Manually define the number of
vertices that form the object (polygonal approximation). Overrides
tolerance.
• max_points (integer) -- If the number of points in the element is
greater than max_points, it will be fractured in smaller polygons
with at most max_points each. If max_points is zero no fracture
will occur.
• final_width (number) -- If set, the paths of this segment will have
their widths linearly changed from their current value to this one.
• final_distance (number) -- If set, the distance between paths is
linearly change from its current value to this one along this
segment.
• layer (integer, list) -- The GDSII layer numbers for the elements
of each path. If the number of layers in the list is less than the
number of paths, the list is repeated.
• datatype (integer, list) -- The GDSII datatype for the elements of
each path (between 0 and 255). If the number of datatypes in the
list is less than the number of paths, the list is repeated.
Returns
out -- This object.
Return type
Path
Notes
The original GDSII specification supports only a maximum of 199
vertices per polygon.
turn(radius, angle, tolerance=0.01, number_of_points=None, max_points=199,
final_width=None, final_distance=None, layer=0, datatype=0)
Add a curved section to the path.
Parameters
• radius (number) -- Central radius of the section.
• angle ('r', 'l', 'rr', 'll' or number) -- Angle (in radians) of
rotation of the path. The values 'r' and 'l' represent 90-degree
turns cw and ccw, respectively; the values 'rr' and 'll' represent
analogous 180-degree turns.
• tolerance (float) -- Approximate curvature resolution. The number
of points is automatically calculated.
• number_of_points (integer or None) -- Manually define the number of
vertices that form the object (polygonal approximation). Overrides
tolerance.
• max_points (integer) -- If the number of points in the element is
greater than max_points, it will be fractured in smaller polygons
with at most max_points each. If max_points is zero no fracture
will occur.
• final_width (number) -- If set, the paths of this segment will have
their widths linearly changed from their current value to this one.
• final_distance (number) -- If set, the distance between paths is
linearly change from its current value to this one along this
segment.
• layer (integer, list) -- The GDSII layer numbers for the elements
of each path. If the number of layers in the list is less than the
number of paths, the list is repeated.
• datatype (integer, list) -- The GDSII datatype for the elements of
each path (between 0 and 255). If the number of datatypes in the
list is less than the number of paths, the list is repeated.
Returns
out -- This object.
Return type
Path
Notes
The original GDSII specification supports only a maximum of 199
vertices per polygon.
parametric(curve_function, curve_derivative=None, tolerance=0.01,
number_of_evaluations=5, max_points=199, final_width=None, final_distance=None,
relative=True, layer=0, datatype=0)
Add a parametric curve to the path.
curve_function will be evaluated uniformly in the interval [0, 1] at least
number_of_points times. More points will be added to the curve at the
midpoint between evaluations if that points presents error larger than
tolerance.
Parameters
• curve_function (callable) -- Function that defines the curve. Must
be a function of one argument (that varies from 0 to 1) that
returns a 2-element array with the coordinates of the curve.
• curve_derivative (callable) -- If set, it should be the derivative
of the curve function. Must be a function of one argument (that
varies from 0 to 1) that returns a 2-element array. If None, the
derivative will be calculated numerically.
• tolerance (number) -- Acceptable tolerance for the approximation of
the curve function by a finite number of evaluations.
• number_of_evaluations (integer) -- Initial number of points where
the curve function will be evaluated. According to tolerance, more
evaluations will be performed.
• max_points (integer) -- Elements will be fractured until each
polygon has at most max_points. If max_points is less than 4, no
fracture will occur.
• final_width (number or function) -- If set to a number, the paths
of this segment will have their widths linearly changed from their
current value to this one. If set to a function, it must be a
function of one argument (that varies from 0 to 1) and returns the
width of the path.
• final_distance (number or function) -- If set to a number, the
distance between paths is linearly change from its current value to
this one. If set to a function, it must be a function of one
argument (that varies from 0 to 1) and returns the width of the
path.
• relative (bool) -- If True, the return values of curve_function are
used as offsets from the current path position, i.e., to ensure a
continuous path, curve_function(0) must be (0, 0). Otherwise, they
are used as absolute coordinates.
• layer (integer, list) -- The GDSII layer numbers for the elements
of each path. If the number of layers in the list is less than the
number of paths, the list is repeated.
• datatype (integer, list) -- The GDSII datatype for the elements of
each path (between 0 and 255). If the number of datatypes in the
list is less than the number of paths, the list is repeated.
Returns
out -- This object.
Return type
Path
Notes
The norm of the vector returned by curve_derivative is not
important. Only the direction is used.
The original GDSII specification supports only a maximum of 199
vertices per polygon.
Examples.sp
>>> def my_parametric_curve(t):
... return (2**t, t**2)
>>> def my_parametric_curve_derivative(t):
... return (0.69315 * 2**t, 2 * t)
>>> my_path.parametric(my_parametric_curve,
... my_parametric_curve_derivative)
bezier(points, tolerance=0.01, number_of_evaluations=5, max_points=199,
final_width=None, final_distance=None, relative=True, layer=0, datatype=0)
Add a Bezier curve to the path.
A Bezier curve is added to the path starting from its current position and
finishing at the last point in the points array.
Parameters
• points (array-like[N][2]) -- Control points defining the Bezier
curve.
• tolerance (number) -- Acceptable tolerance for the approximation of
the curve function by a finite number of evaluations.
• number_of_evaluations (integer) -- Initial number of points where
the curve function will be evaluated. According to tolerance, more
evaluations will be performed.
• max_points (integer) -- Elements will be fractured until each
polygon has at most max_points. If max_points is zero no fracture
will occur.
• final_width (number or function) -- If set to a number, the paths
of this segment will have their widths linearly changed from their
current value to this one. If set to a function, it must be a
function of one argument (that varies from 0 to 1) and returns the
width of the path.
• final_distance (number or function) -- If set to a number, the
distance between paths is linearly change from its current value to
this one. If set to a function, it must be a function of one
argument (that varies from 0 to 1) and returns the width of the
path.
• relative (bool) -- If True, all coordinates in the points array are
used as offsets from the current path position, i.e., if the path
is at (1, -2) and the last point in the array is (10, 25), the
constructed Bezier will end at (1 + 10, -2 + 25) = (11, 23).
Otherwise, the points are used as absolute coordinates.
• layer (integer, list) -- The GDSII layer numbers for the elements
of each path. If the number of layers in the list is less than the
number of paths, the list is repeated.
• datatype (integer, list) -- The GDSII datatype for the elements of
each path (between 0 and 255). If the number of datatypes in the
list is less than the number of paths, the list is repeated.
Returns
out -- This object.
Return type
Path
Notes
The original GDSII specification supports only a maximum of 199
vertices per polygon.
smooth(points, angles=None, curl_start=1, curl_end=1, t_in=1, t_out=1, cycle=False,
tolerance=0.01, number_of_evaluations=5, max_points=199, final_widths=None,
final_distances=None, relative=True, layer=0, datatype=0)
Add a smooth interpolating curve through the given points.
Uses the Hobby algorithm
[1]_
to calculate a smooth interpolating curve made of cubic Bezier segments
between each pair of points.
Parameters
• points (array-like[N][2]) -- Vertices in the interpolating curve.
• angles (array-like[N + 1] or None) -- Tangent angles at each point
(in radians). Any angles defined as None are automatically
calculated.
• curl_start (number) -- Ratio between the mock curvatures at the
first point and at its neighbor. A value of 1 renders the first
segment a good approximation for a circular arc. A value of 0 will
better approximate a straight segment. It has no effect for closed
curves or when an angle is defined for the first point.
• curl_end (number) -- Ratio between the mock curvatures at the last
point and at its neighbor. It has no effect for closed curves or
when an angle is defined for the first point.
• t_in (number or array-like[N + 1]) -- Tension parameter when
arriving at each point. One value per point or a single value used
for all points.
• t_out (number or array-like[N + 1]) -- Tension parameter when
leaving each point. One value per point or a single value used for
all points.
• cycle (bool) -- If True, calculates control points for a closed
curve, with an additional segment connecting the first and last
points.
• tolerance (number) -- Acceptable tolerance for the approximation of
the curve function by a finite number of evaluations.
• number_of_evaluations (integer) -- Initial number of points where
the curve function will be evaluated. According to tolerance, more
evaluations will be performed.
• max_points (integer) -- Elements will be fractured until each
polygon has at most max_points. If max_points is zero no fracture
will occur.
• final_widths (array-like[M]) -- Each element corresponds to the
final width of a segment in the whole curve. If an element is a
number, the paths of this segment will have their widths linearly
changed to this value. If a function, it must be a function of one
argument (that varies from 0 to 1) and returns the width of the
path. The length of the array must be equal to the number of
segments in the curve, i.e., M = N - 1 for an open curve and M = N
for a closed one.
• final_distances (array-like[M]) -- Each element corresponds to the
final distance between paths of a segment in the whole curve. If
an element is a number, the distance between paths is linearly
change to this value. If a function, it must be a function of one
argument (that varies from 0 to 1) and returns the width of the
path. The length of the array must be equal to the number of
segments in the curve, i.e., M = N - 1 for an open curve and M = N
for a closed one.
• relative (bool) -- If True, all coordinates in the points array are
used as offsets from the current path position, i.e., if the path
is at (1, -2) and the last point in the array is (10, 25), the
constructed curve will end at (1 + 10, -2 + 25) = (11, 23).
Otherwise, the points are used as absolute coordinates.
• layer (integer, list) -- The GDSII layer numbers for the elements
of each path. If the number of layers in the list is less than the
number of paths, the list is repeated.
• datatype (integer, list) -- The GDSII datatype for the elements of
each path (between 0 and 255). If the number of datatypes in the
list is less than the number of paths, the list is repeated.
Returns
out -- This object.
Return type
Path
Notes
The original GDSII specification supports only a maximum of 199
vertices per polygon.
References
[1] Hobby, J.D. Discrete Comput. Geom. (1986) 1: 123. DOI: 10.1007/BF02187690
area(by_spec=False)
Calculate the total area of this polygon set.
Parameters
by_spec (bool) -- If True, the return value is a dictionary with
{(layer, datatype): area}.
Returns
out -- Area of this object.
Return type
number, dictionary
fillet(radius, points_per_2pi=128, max_points=199, precision=0.001)
Round the corners of these polygons and fractures them into polygons with
less vertices if necessary.
Parameters
• radius (number, array-like) -- Radius of the corners. If number:
all corners filleted by that amount. If array: specify fillet
radii on a per-polygon basis (length must be equal to the number of
polygons in this PolygonSet). Each element in the array can be a
number (all corners filleted by the same amount) or another array
of numbers, one per polygon vertex. Alternatively, the array can
be flattened to have one radius per PolygonSet vertex.
• points_per_2pi (integer) -- Number of vertices used to approximate
a full circle. The number of vertices in each corner of the
polygon will be the fraction of this number corresponding to the
angle encompassed by that corner with respect to 2 pi.
• max_points (integer) -- Maximal number of points in each resulting
polygon (at least 5, otherwise the resulting polygon is not
fractured).
• precision (float) -- Desired precision for rounding vertice
coordinates in case of fracturing.
Returns
out -- This object.
Return type
PolygonSet
fracture(max_points=199, precision=0.001)
Slice these polygons in the horizontal and vertical directions so that each
resulting piece has at most max_points. This operation occurs in place.
Parameters
• max_points (integer) -- Maximal number of points in each resulting
polygon (at least 5 for the fracture to occur).
• precision (float) -- Desired precision for rounding vertice
coordinates.
Returns
out -- This object.
Return type
PolygonSet
get_bounding_box()
Calculate the bounding box of the polygons.
Returns
out -- Bounding box of this polygon in the form [[x_min, y_min],
[x_max, y_max]], or None if the polygon is empty.
Return type
Numpy array[2, 2] or None
to_gds(multiplier)
Convert this object to a series of GDSII elements.
Parameters
multiplier (number) -- A number that multiplies all dimensions
written in the GDSII elements.
Returns
out -- The GDSII binary string that represents this object.
Return type
string
PolyPath
class gdspy.PolyPath(points, width, number_of_paths=1, distance=0, corners='miter',
ends='flush', max_points=199, layer=0, datatype=0)
Bases: gdspy.PolygonSet
Series of geometric objects that form a polygonal path or a collection of parallel
polygonal paths.
Deprecated since version 1.4: PolyPath is deprecated in favor of FlexPath and will
be removed in a future version of Gdspy.
Parameters
• points (array-like[N][2]) -- Points along the center of the path.
• width (number or array-like[N]) -- Width of the path. If an array is
given, width at each endpoint.
• number_of_paths (positive integer) -- Number of parallel paths to create
simultaneously.
• distance (number or array-like[N]) -- Distance between the centers of
adjacent paths. If an array is given, distance at each endpoint.
• corners ('miter' or 'bevel') -- Type of joins.
• ends ('flush', 'round', 'extended') -- Type of end caps for the paths.
• max_points (integer) -- The paths will be fractured in polygons with at
most max_points (must be at least 4). If max_points is zero no fracture
will occur.
• layer (integer, list) -- The GDSII layer numbers for the elements of each
path. If the number of layers in the list is less than the number of
paths, the list is repeated.
• datatype (integer, list) -- The GDSII datatype for the elements of each
path (between 0 and 255). If the number of datatypes in the list is less
than the number of paths, the list is repeated.
Notes
The bevel join will give strange results if the number of paths is
greater than 1.
area(by_spec=False)
Calculate the total area of this polygon set.
Parameters
by_spec (bool) -- If True, the return value is a dictionary with
{(layer, datatype): area}.
Returns
out -- Area of this object.
Return type
number, dictionary
fillet(radius, points_per_2pi=128, max_points=199, precision=0.001)
Round the corners of these polygons and fractures them into polygons with
less vertices if necessary.
Parameters
• radius (number, array-like) -- Radius of the corners. If number:
all corners filleted by that amount. If array: specify fillet
radii on a per-polygon basis (length must be equal to the number of
polygons in this PolygonSet). Each element in the array can be a
number (all corners filleted by the same amount) or another array
of numbers, one per polygon vertex. Alternatively, the array can
be flattened to have one radius per PolygonSet vertex.
• points_per_2pi (integer) -- Number of vertices used to approximate
a full circle. The number of vertices in each corner of the
polygon will be the fraction of this number corresponding to the
angle encompassed by that corner with respect to 2 pi.
• max_points (integer) -- Maximal number of points in each resulting
polygon (at least 5, otherwise the resulting polygon is not
fractured).
• precision (float) -- Desired precision for rounding vertice
coordinates in case of fracturing.
Returns
out -- This object.
Return type
PolygonSet
fracture(max_points=199, precision=0.001)
Slice these polygons in the horizontal and vertical directions so that each
resulting piece has at most max_points. This operation occurs in place.
Parameters
• max_points (integer) -- Maximal number of points in each resulting
polygon (at least 5 for the fracture to occur).
• precision (float) -- Desired precision for rounding vertice
coordinates.
Returns
out -- This object.
Return type
PolygonSet
get_bounding_box()
Calculate the bounding box of the polygons.
Returns
out -- Bounding box of this polygon in the form [[x_min, y_min],
[x_max, y_max]], or None if the polygon is empty.
Return type
Numpy array[2, 2] or None
mirror(p1, p2=(0, 0))
Mirror the polygons over a line through points 1 and 2
Parameters
• p1 (array-like[2]) -- first point defining the reflection line
• p2 (array-like[2]) -- second point defining the reflection line
Returns
out -- This object.
Return type
PolygonSet
rotate(angle, center=(0, 0))
Rotate this object.
Parameters
• angle (number) -- The angle of rotation (in radians).
• center (array-like[2]) -- Center point for the rotation.
Returns
out -- This object.
Return type
PolygonSet
scale(scalex, scaley=None, center=(0, 0))
Scale this object.
Parameters
• scalex (number) -- Scaling factor along the first axis.
• scaley (number or None) -- Scaling factor along the second axis.
If None, same as scalex.
• center (array-like[2]) -- Center point for the scaling operation.
Returns
out -- This object.
Return type
PolygonSet
to_gds(multiplier)
Convert this object to a series of GDSII elements.
Parameters
multiplier (number) -- A number that multiplies all dimensions
written in the GDSII elements.
Returns
out -- The GDSII binary string that represents this object.
Return type
string
translate(dx, dy)
Translate this polygon.
Parameters
• dx (number) -- Distance to move in the x-direction.
• dy (number) -- Distance to move in the y-direction.
Returns
out -- This object.
Return type
PolygonSet
L1Path
class gdspy.L1Path(initial_point, direction, width, length, turn, number_of_paths=1,
distance=0, max_points=199, layer=0, datatype=0)
Bases: gdspy.PolygonSet
Series of geometric objects that form a path or a collection of parallel paths with
Manhattan geometry.
Deprecated since version 1.4: L1Path is deprecated in favor of FlexPath and will be
removed in a future version of Gdspy.
Parameters
• initial_point (array-like[2]) -- Starting position of the path.
• direction ('+x', '+y', '-x', '-y') -- Starting direction of the path.
• width (number) -- The initial width of each path.
• length (array-like) -- Lengths of each section to add.
• turn (array-like) -- Direction to turn before each section. The sign
indicate the turn direction (ccw is positive), and the modulus is a
multiplicative factor for the path width after each turn. Must have 1
element less then length.
• number_of_paths (positive integer) -- Number of parallel paths to create
simultaneously.
• distance (number) -- Distance between the centers of adjacent paths.
• max_points (integer) -- The paths will be fractured in polygons with at
most max_points (must be at least 6). If max_points is zero no fracture
will occur.
• layer (integer, list) -- The GDSII layer numbers for the elements of each
path. If the number of layers in the list is less than the number of
paths, the list is repeated.
• datatype (integer, list) -- The GDSII datatype for the elements of each
path (between 0 and 255). If the number of datatypes in the list is less
than the number of paths, the list is repeated.
Variables
• x (number) -- Final position of the path in the x direction.
• y (number) -- Final position of the path in the y direction.
• direction ('+x', '-x', '+y', '-y' or number) -- Direction or angle (in
radians) the path points to. The numerical angle is returned only after a
rotation of the object.
Examples.sp
>>> length = [10, 30, 15, 15, 15, 15, 10]
>>> turn = [1, -1, -1, 3, -1, 1]
>>> l1path = gdspy.L1Path((0, 0), '+x', 2, length, turn)
>>> myCell.add(l1path)
rotate(angle, center=(0, 0))
Rotate this object.
Parameters
• angle (number) -- The angle of rotation (in radians).
• center (array-like[2]) -- Center point for the rotation.
Returns
out -- This object.
Return type
L1Path
area(by_spec=False)
Calculate the total area of this polygon set.
Parameters
by_spec (bool) -- If True, the return value is a dictionary with
{(layer, datatype): area}.
Returns
out -- Area of this object.
Return type
number, dictionary
fillet(radius, points_per_2pi=128, max_points=199, precision=0.001)
Round the corners of these polygons and fractures them into polygons with
less vertices if necessary.
Parameters
• radius (number, array-like) -- Radius of the corners. If number:
all corners filleted by that amount. If array: specify fillet
radii on a per-polygon basis (length must be equal to the number of
polygons in this PolygonSet). Each element in the array can be a
number (all corners filleted by the same amount) or another array
of numbers, one per polygon vertex. Alternatively, the array can
be flattened to have one radius per PolygonSet vertex.
• points_per_2pi (integer) -- Number of vertices used to approximate
a full circle. The number of vertices in each corner of the
polygon will be the fraction of this number corresponding to the
angle encompassed by that corner with respect to 2 pi.
• max_points (integer) -- Maximal number of points in each resulting
polygon (at least 5, otherwise the resulting polygon is not
fractured).
• precision (float) -- Desired precision for rounding vertice
coordinates in case of fracturing.
Returns
out -- This object.
Return type
PolygonSet
fracture(max_points=199, precision=0.001)
Slice these polygons in the horizontal and vertical directions so that each
resulting piece has at most max_points. This operation occurs in place.
Parameters
• max_points (integer) -- Maximal number of points in each resulting
polygon (at least 5 for the fracture to occur).
• precision (float) -- Desired precision for rounding vertice
coordinates.
Returns
out -- This object.
Return type
PolygonSet
get_bounding_box()
Calculate the bounding box of the polygons.
Returns
out -- Bounding box of this polygon in the form [[x_min, y_min],
[x_max, y_max]], or None if the polygon is empty.
Return type
Numpy array[2, 2] or None
mirror(p1, p2=(0, 0))
Mirror the polygons over a line through points 1 and 2
Parameters
• p1 (array-like[2]) -- first point defining the reflection line
• p2 (array-like[2]) -- second point defining the reflection line
Returns
out -- This object.
Return type
PolygonSet
scale(scalex, scaley=None, center=(0, 0))
Scale this object.
Parameters
• scalex (number) -- Scaling factor along the first axis.
• scaley (number or None) -- Scaling factor along the second axis.
If None, same as scalex.
• center (array-like[2]) -- Center point for the scaling operation.
Returns
out -- This object.
Return type
PolygonSet
to_gds(multiplier)
Convert this object to a series of GDSII elements.
Parameters
multiplier (number) -- A number that multiplies all dimensions
written in the GDSII elements.
Returns
out -- The GDSII binary string that represents this object.
Return type
string
translate(dx, dy)
Translate this polygon.
Parameters
• dx (number) -- Distance to move in the x-direction.
• dy (number) -- Distance to move in the y-direction.
Returns
out -- This object.
Return type
PolygonSet
FlexPath
class gdspy.FlexPath(points, width, offset=0, corners='natural', ends='flush',
bend_radius=None, tolerance=0.01, precision=0.001, max_points=199, gdsii_path=False,
width_transform=True, layer=0, datatype=0)
Bases: object
Path object.
This class keeps information about the constructive parameters of the path and
calculates its boundaries only upon request.
It can be stored as a proper path element in the GDSII format, unlike Path. In
this case, the width must be constant along the whole path.
Parameters
• points (array-like[N][2]) -- Points along the center of the path.
• width (number, list) -- Width of each parallel path being created. The
number of parallel paths being created is defined by the length of this
list.
• offset (number, list) -- Offsets of each parallel path from the center.
If width is not a list, the length of this list is used to determine the
number of parallel paths being created. Otherwise, offset must be a list
with the same length as width, or a number, which is used as distance
between adjacent paths.
• corners ('natural', 'miter', 'bevel', 'round', 'smooth', 'circular bend',
callable, list) -- Type of joins. A callable must receive 6 arguments
(vertex and direction vector from both segments being joined, the center
and width of the path) and return a list of vertices that make the join.
A list can be used to define the join for each parallel path.
• ends ('flush', 'extended', 'round', 'smooth', 2-tuple, callable, list) --
Type of end caps for the paths. A 2-element tuple represents the start
and end extensions to the paths. A callable must receive 4 arguments
(vertex and direction vectors from both sides of the path and return a
list of vertices that make the end cap. A list can be used to define the
end type for each parallel path.
• bend_radius (number, list) -- Bend radii for each path when corners is
'circular bend'. It has no effect for other corner types.
• tolerance (number) -- Tolerance used to draw the paths and calculate
joins.
• precision (number) -- Precision for rounding the coordinates of vertices
when fracturing the final polygonal boundary.
• max_points (integer) -- If the number of points in the polygonal path
boundary is greater than max_points, it will be fractured in smaller
polygons with at most max_points each. If max_points is zero no fracture
will occur.
• gdsii_path (bool) -- If True, treat this object as a GDSII path element.
Otherwise, it will be converted into polygonal boundaries when required.
• width_transform (bool) -- If gdsii_path is True, this flag indicates
whether the width of the path should transform when scaling this object.
It has no effect when gdsii_path is False.
• layer (integer, list) -- The GDSII layer numbers for the elements of each
path. If the number of layers in the list is less than the number of
paths, the list is repeated.
• datatype (integer, list) -- The GDSII datatype for the elements of each
path (between 0 and 255). If the number of datatypes in the list is less
than the number of paths, the list is repeated.
Notes
The value of tolerance should not be smaller than precision, otherwise
there would be wasted computational effort in calculating the paths.
get_polygons(by_spec=False)
Calculate the polygonal boundaries described by this path.
Parameters
by_spec (bool) -- If True, the return value is a dictionary with the
polygons of each individual pair (layer, datatype).
Returns
out -- List containing the coordinates of the vertices of each
polygon, or dictionary with the list of polygons (if by_spec is
True).
Return type
list of array-like[N][2] or dictionary
to_polygonset()
Create a PolygonSet representation of this object.
The resulting object will be fractured according to the parameter max_points
used when instantiating this object.
Returns
out -- A PolygonSet that contains all boundaries for this path. If
the path is empty, returns None.
Return type
PolygonSet or None
to_gds(multiplier)
Convert this object to a series of GDSII elements.
If FlexPath.gdsii_path is True, GDSII path elements are created instead of
boundaries. Such paths do not support variable widths, but their memeory
footprint is smaller than full polygonal boundaries.
Parameters
multiplier (number) -- A number that multiplies all dimensions
written in the GDSII elements.
Returns
out -- The GDSII binary string that represents this object.
Return type
string
area(by_spec=False)
Calculate the total area of this object.
This functions creates a PolgonSet from this object and calculates its area,
which means it is computationally expensive.
Parameters
by_spec (bool) -- If True, the return value is a dictionary with
{(layer, datatype): area}.
Returns
out -- Area of this object.
Return type
number, dictionary
translate(dx, dy)
Translate this path.
Parameters
• dx (number) -- Distance to move in the x-direction
• dy (number) -- Distance to move in the y-direction
Returns
out -- This object.
Return type
FlexPath
rotate(angle, center=(0, 0))
Rotate this path.
Parameters
• angle (number) -- The angle of rotation (in radians).
• center (array-like[2]) -- Center point for the rotation.
Returns
out -- This object.
Return type
FlexPath
scale(scale, center=(0, 0))
Scale this path.
Parameters
• scale (number) -- Scaling factor.
• center (array-like[2]) -- Center point for the scaling operation.
Returns
out -- This object.
Return type
FlexPath
transform(translation, rotation, scale, x_reflection, array_trans=None)
Apply a transform to this path.
Parameters
• translation (Numpy array[2]) -- Translation vector.
• rotation (number) -- Rotation angle.
• scale (number) -- Scaling factor.
• x_reflection (bool) -- Reflection around the first axis.
• array_trans (Numpy aray[2]) -- Translation vector before rotation
and reflection.
Returns
out -- This object.
Return type
FlexPath
Notes
Applies the transformations in the same order as a CellReference
or a CellArray. If width_transform is False, the widths are not
scaled.
segment(end_point, width=None, offset=None, relative=False)
Add a straight section to the path.
Parameters
• end_point (array-like[2]) -- End position of the straight segment.
• width (number, list) -- If a number, all parallel paths are
linearly tapered to this width along the segment. A list can be
used where each element defines the width for one of the parallel
paths in this object. This argument has no effect if the path was
created with gdsii_path True.
• offset (number, list) -- If a number, all parallel paths offsets
are linearly increased by this amount (which can be negative). A
list can be used where each element defines the absolute offset
(not offset increase) for one of the parallel paths in this object.
• relative (bool) -- If True, end_point is used as an offset from the
current path position, i.e., if the path is at (1, -2) and the
end_point is (10, 25), the segment will be constructed from (1, -2)
to (1 + 10, -2 + 25) = (11, 23). Otherwise, end_point is used as
an absolute coordinate.
Returns
out -- This object.
Return type
FlexPath
arc(radius, initial_angle, final_angle, width=None, offset=None)
Add a circular arc section to the path.
Parameters
• radius (number) -- Radius of the circular arc.
• initial_angle (number) -- Initial angle of the arc.
• final_angle (number) -- Final angle of the arc.
• width (number, list) -- If a number, all parallel paths are
linearly tapered to this width along the segment. A list can be
used where each element defines the width for one of the parallel
paths in this object. This argument has no effect if the path was
created with gdsii_path True.
• offset (number, list) -- If a number, all parallel paths offsets
are linearly increased by this amount (which can be negative). A
list can be used where each element defines the absolute offset
(not offset increase) for one of the parallel paths in this object.
Returns
out -- This object.
Return type
FlexPath
turn(radius, angle, width=None, offset=None)
Add a circular turn to the path.
The initial angle of the arc is calculated from the last path segment.
Parameters
• radius (number) -- Radius of the circular arc.
• angle ('r', 'l', 'rr', 'll' or number) -- Angle (in radians) of
rotation of the path. The values 'r' and 'l' represent 90-degree
turns cw and ccw, respectively; the values 'rr' and 'll' represent
analogous 180-degree turns.
• width (number, list) -- If a number, all parallel paths are
linearly tapered to this width along the segment. A list can be
used where each element defines the width for one of the parallel
paths in this object. This argument has no effect if the path was
created with gdsii_path True.
• offset (number, list) -- If a number, all parallel paths offsets
are linearly increased by this amount (which can be negative). A
list can be used where each element defines the absolute offset
(not offset increase) for one of the parallel paths in this object.
Returns
out -- This object.
Return type
FlexPath
parametric(curve_function, width=None, offset=None, relative=True)
Add a parametric curve to the path.
Parameters
• curve_function (callable) -- Function that defines the curve. Must
be a function of one argument (that varies from 0 to 1) that
returns a 2-element Numpy array with the coordinates of the curve.
• width (number, list) -- If a number, all parallel paths are
linearly tapered to this width along the segment. A list can be
used where each element defines the width for one of the parallel
paths in this object. This argument has no effect if the path was
created with gdsii_path True.
• offset (number, list) -- If a number, all parallel paths offsets
are linearly increased by this amount (which can be negative). A
list can be used where each element defines the absolute offset
(not offset increase) for one of the parallel paths in this object.
• relative (bool) -- If True, the return values of curve_function are
used as offsets from the current path position, i.e., to ensure a
continuous path, curve_function(0) must be (0, 0). Otherwise, they
are used as absolute coordinates.
Returns
out -- This object.
Return type
FlexPath
bezier(points, width=None, offset=None, relative=True)
Add a Bezier curve to the path.
A Bezier curve is added to the path starting from its current position and
finishing at the last point in the points array.
Parameters
• points (array-like[N][2]) -- Control points defining the Bezier
curve.
• width (number, list) -- If a number, all parallel paths are
linearly tapered to this width along the segment. A list can be
used where each element defines the width for one of the parallel
paths in this object. This argument has no effect if the path was
created with gdsii_path True.
• offset (number, list) -- If a number, all parallel paths offsets
are linearly increased by this amount (which can be negative). A
list can be used where each element defines the absolute offset
(not offset increase) for one of the parallel paths in this object.
• relative (bool) -- If True, all coordinates in the points array are
used as offsets from the current path position, i.e., if the path
is at (1, -2) and the last point in the array is (10, 25), the
constructed Bezier will end at (1 + 10, -2 + 25) = (11, 23).
Otherwise, the points are used as absolute coordinates.
Returns
out -- This object.
Return type
FlexPath
smooth(points, angles=None, curl_start=1, curl_end=1, t_in=1, t_out=1, cycle=False,
width=None, offset=None, relative=True)
Add a smooth interpolating curve through the given points.
Uses the Hobby algorithm
[1]_
to calculate a smooth interpolating curve made of cubic Bezier segments
between each pair of points.
Parameters
• points (array-like[N][2]) -- Vertices in the interpolating curve.
• angles (array-like[N + 1] or None) -- Tangent angles at each point
(in radians). Any angles defined as None are automatically
calculated.
• curl_start (number) -- Ratio between the mock curvatures at the
first point and at its neighbor. A value of 1 renders the first
segment a good approximation for a circular arc. A value of 0 will
better approximate a straight segment. It has no effect for closed
curves or when an angle is defined for the first point.
• curl_end (number) -- Ratio between the mock curvatures at the last
point and at its neighbor. It has no effect for closed curves or
when an angle is defined for the first point.
• t_in (number or array-like[N + 1]) -- Tension parameter when
arriving at each point. One value per point or a single value used
for all points.
• t_out (number or array-like[N + 1]) -- Tension parameter when
leaving each point. One value per point or a single value used for
all points.
• cycle (bool) -- If True, calculates control points for a closed
curve, with an additional segment connecting the first and last
points.
• width (number, list) -- If a number, all parallel paths are
linearly tapered to this width along the segment. A list can be
used where each element defines the width for one of the parallel
paths in this object. This argument has no effect if the path was
created with gdsii_path True.
• offset (number, list) -- If a number, all parallel paths offsets
are linearly increased by this amount (which can be negative). A
list can be used where each element defines the absolute offset
(not offset increase) for one of the parallel paths in this object.
• relative (bool) -- If True, all coordinates in the points array are
used as offsets from the current path position, i.e., if the path
is at (1, -2) and the last point in the array is (10, 25), the
constructed curve will end at (1 + 10, -2 + 25) = (11, 23).
Otherwise, the points are used as absolute coordinates.
Returns
out -- This object.
Return type
FlexPath
Notes
Arguments width and offset are repeated for each cubic Bezier that
composes this path element.
References
[1] Hobby, J.D. Discrete Comput. Geom. (1986) 1: 123. DOI: 10.1007/BF02187690
RobustPath
class gdspy.RobustPath(initial_point, width, offset=0, ends='flush', tolerance=0.01,
precision=0.001, max_points=199, max_evals=1000, gdsii_path=False, width_transform=True,
layer=0, datatype=0)
Bases: object
Path object with lazy evaluation.
This class keeps information about the constructive parameters of the path and
calculates its boundaries only upon request. The benefits are that joins and path
components can be calculated automatically to ensure continuity (except in extreme
cases).
It can be stored as a proper path element in the GDSII format, unlike Path. In
this case, the width must be constant along the whole path.
The downside of RobustPath is that it is more computationally expensive than the
other path classes.
Parameters
• initial_point (array-like[2]) -- Starting position of the path.
• width (number, list) -- Width of each parallel path being created. The
number of parallel paths being created is defined by the length of this
list.
• offset (number, list) -- Offsets of each parallel path from the center.
If width is not a list, the length of this list is used to determine the
number of parallel paths being created. Otherwise, offset must be a list
with the same length as width, or a number, which is used as distance
between adjacent paths.
• ends ('flush', 'extended', 'round', 'smooth', 2-tuple, list) -- Type of
end caps for the paths. A 2-element tuple represents the start and end
extensions to the paths. A list can be used to define the end type for
each parallel path.
• tolerance (number) -- Tolerance used to draw the paths and calculate
joins.
• precision (number) -- Precision for rounding the coordinates of vertices
when fracturing the final polygonal boundary.
• max_points (integer) -- If the number of points in the polygonal path
boundary is greater than max_points, it will be fractured in smaller
polygons with at most max_points each. If max_points is zero no fracture
will occur.
• max_evals (integer) -- Limit to the maximal number of evaluations when
calculating each path component.
• gdsii_path (bool) -- If True, treat this object as a GDSII path element.
Otherwise, it will be converted into polygonal boundaries when required.
• width_transform (bool) -- If gdsii_path is True, this flag indicates
whether the width of the path should transform when scaling this object.
It has no effect when gdsii_path is False.
• layer (integer, list) -- The GDSII layer numbers for the elements of each
path. If the number of layers in the list is less than the number of
paths, the list is repeated.
• datatype (integer, list) -- The GDSII datatype for the elements of each
path (between 0 and 255). If the number of datatypes in the list is less
than the number of paths, the list is repeated.
Notes
The value of tolerance should not be smaller than precision, otherwise
there would be wasted computational effort in calculating the paths.
grad(u, arm=0, side='-')
Calculate the direction vector of each parallel path.
Parameters
• u (number) -- Position along the RobustPath to compute. This
argument can range from 0 (start of the path) to len(self) (end of
the path).
• arm (-1, 0, 1) -- Wether to calculate one of the path boundaries
(-1 or 1) or its central spine (0).
• side ('-' or '+') -- At path joins, whether to calculate the
direction using the component before or after the join.
Returns
out -- Direction vectors for each of the N parallel paths in this
object.
Return type
Numpy array[N, 2]
width(u)
Calculate the width of each parallel path.
Parameters
u (number) -- Position along the RobustPath to compute. This
argument can range from 0 (start of the path) to len(self) (end of
the path).
Returns
out -- Width for each of the N parallel paths in this object.
Return type
Numpy array[N]
get_polygons(by_spec=False)
Calculate the polygonal boundaries described by this path.
Parameters
by_spec (bool) -- If True, the return value is a dictionary with the
polygons of each individual pair (layer, datatype).
Returns
out -- List containing the coordinates of the vertices of each
polygon, or dictionary with the list of polygons (if by_spec is
True).
Return type
list of array-like[N][2] or dictionary
to_polygonset()
Create a PolygonSet representation of this object.
The resulting object will be fractured according to the parameter max_points
used when instantiating this object.
Returns
out -- A PolygonSet that contains all boundaries for this path. If
the path is empty, returns None.
Return type
PolygonSet or None
to_gds(multiplier)
Convert this object to a series of GDSII elements.
If RobustPath.gdsii_path is True, GDSII path elements are created instead of
boundaries. Such paths do not support variable widths, but their memeory
footprint is smaller than full polygonal boundaries.
Parameters
multiplier (number) -- A number that multiplies all dimensions
written in the GDSII elements.
Returns
out -- The GDSII binary string that represents this object.
Return type
string
area(by_spec=False)
Calculate the total area of this object.
This functions creates a PolgonSet from this object and calculates its area,
which means it is computationally expensive.
Parameters
by_spec (bool) -- If True, the return value is a dictionary with
{(layer, datatype): area}.
Returns
out -- Area of this object.
Return type
number, dictionary
translate(dx, dy)
Translate this path.
Parameters
• dx (number) -- Distance to move in the x-direction
• dy (number) -- Distance to move in the y-direction
Returns
out -- This object.
Return type
RobustPath
rotate(angle, center=(0, 0))
Rotate this path.
Parameters
• angle (number) -- The angle of rotation (in radians).
• center (array-like[2]) -- Center point for the rotation.
Returns
out -- This object.
Return type
RobustPath
scale(scale, center=(0, 0))
Scale this path.
Parameters
• scale (number) -- Scaling factor.
• center (array-like[2]) -- Center point for the scaling operation.
Returns
out -- This object.
Return type
RobustPath
transform(translation, rotation, scale, x_reflection, array_trans=None)
Apply a transform to this path.
Parameters
• translation (Numpy array[2]) -- Translation vector.
• rotation (number) -- Rotation angle.
• scale (number) -- Scaling factor.
• x_reflection (bool) -- Reflection around the first axis.
• array_trans (Numpy aray[2]) -- Translation vector before rotation
and reflection.
Returns
out -- This object.
Return type
RobustPath
Notes
Applies the transformations in the same order as a CellReference
or a CellArray. If width_transform is False, the widths are not
scaled.
segment(end_point, width=None, offset=None, relative=False)
Add a straight section to the path.
Parameters
• end_point (array-like[2]) -- End position of the straight segment.
• width (number, callable, list) -- If a number, all parallel paths
are linearly tapered to this width along the segment. If this is
callable, it must be a function of one argument (that varies from 0
to 1) that returns the width of the path. A list can be used where
each element (number or callable) defines the width for one of the
parallel paths in this object.
• offset (number, callable, list) -- If a number, all parallel paths
offsets are linearly increased by this amount (which can be
negative). If this is callable, it must be a function of one
argument (that varies from 0 to 1) that returns the offset
increase. A list can be used where each element (number or
callable) defines the absolute offset (not offset increase) for one
of the parallel paths in this object.
• relative (bool) -- If True, end_point is used as an offset from the
current path position, i.e., if the path is at (1, -2) and the
end_point is (10, 25), the segment will be constructed from (1, -2)
to (1 + 10, -2 + 25) = (11, 23). Otherwise, end_point is used as
an absolute coordinate.
Returns
out -- This object.
Return type
RobustPath
arc(radius, initial_angle, final_angle, width=None, offset=None)
Add a circular arc section to the path.
Parameters
• radius (number) -- Radius of the circular arc.
• initial_angle (number) -- Initial angle of the arc.
• final_angle (number) -- Final angle of the arc.
• width (number, callable, list) -- If a number, all parallel paths
are linearly tapered to this width along the segment. If this is
callable, it must be a function of one argument (that varies from 0
to 1) that returns the width of the path. A list can be used where
each element (number or callable) defines the width for one of the
parallel paths in this object.
• offset (number, callable, list) -- If a number, all parallel paths
offsets are linearly increased by this amount (which can be
negative). If this is callable, it must be a function of one
argument (that varies from 0 to 1) that returns the offset
increase. A list can be used where each element (number or
callable) defines the absolute offset (not offset increase) for one
of the parallel paths in this object.
Returns
out -- This object.
Return type
RobustPath
turn(radius, angle, width=None, offset=None)
Add a circular turn to the path.
The initial angle of the arc is calculated from an average of the current
directions of all parallel paths in this object.
Parameters
• radius (number) -- Radius of the circular arc.
• angle ('r', 'l', 'rr', 'll' or number) -- Angle (in radians) of
rotation of the path. The values 'r' and 'l' represent 90-degree
turns cw and ccw, respectively; the values 'rr' and 'll' represent
analogous 180-degree turns.
• width (number, callable, list) -- If a number, all parallel paths
are linearly tapered to this width along the segment. If this is
callable, it must be a function of one argument (that varies from 0
to 1) that returns the width of the path. A list can be used where
each element (number or callable) defines the width for one of the
parallel paths in this object.
• offset (number, callable, list) -- If a number, all parallel paths
offsets are linearly increased by this amount (which can be
negative). If this is callable, it must be a function of one
argument (that varies from 0 to 1) that returns the offset
increase. A list can be used where each element (number or
callable) defines the absolute offset (not offset increase) for one
of the parallel paths in this object.
Returns
out -- This object.
Return type
RobustPath
parametric(curve_function, curve_derivative=None, width=None, offset=None,
relative=True)
Add a parametric curve to the path.
Parameters
• curve_function (callable) -- Function that defines the curve. Must
be a function of one argument (that varies from 0 to 1) that
returns a 2-element Numpy array with the coordinates of the curve.
• curve_derivative (callable) -- If set, it should be the derivative
of the curve function. Must be a function of one argument (that
varies from 0 to 1) that returns a 2-element Numpy array. If None,
the derivative will be calculated numerically.
• width (number, callable, list) -- If a number, all parallel paths
are linearly tapered to this width along the segment. If this is
callable, it must be a function of one argument (that varies from 0
to 1) that returns the width of the path. A list can be used where
each element (number or callable) defines the width for one of the
parallel paths in this object.
• offset (number, callable, list) -- If a number, all parallel paths
offsets are linearly increased by this amount (which can be
negative). If this is callable, it must be a function of one
argument (that varies from 0 to 1) that returns the offset
increase. A list can be used where each element (number or
callable) defines the absolute offset (not offset increase) for one
of the parallel paths in this object.
• relative (bool) -- If True, the return values of curve_function are
used as offsets from the current path position, i.e., to ensure a
continuous path, curve_function(0) must be (0, 0). Otherwise, they
are used as absolute coordinates.
Returns
out -- This object.
Return type
RobustPath
bezier(points, width=None, offset=None, relative=True)
Add a Bezier curve to the path.
A Bezier curve is added to the path starting from its current position and
finishing at the last point in the points array.
Parameters
• points (array-like[N][2]) -- Control points defining the Bezier
curve.
• width (number, callable, list) -- If a number, all parallel paths
are linearly tapered to this width along the segment. If this is
callable, it must be a function of one argument (that varies from 0
to 1) that returns the width of the path. A list can be used where
each element (number or callable) defines the width for one of the
parallel paths in this object.
• offset (number, callable, list) -- If a number, all parallel paths
offsets are linearly increased by this amount (which can be
negative). If this is callable, it must be a function of one
argument (that varies from 0 to 1) that returns the offset
increase. A list can be used where each element (number or
callable) defines the absolute offset (not offset increase) for one
of the parallel paths in this object.
• relative (bool) -- If True, all coordinates in the points array are
used as offsets from the current path position, i.e., if the path
is at (1, -2) and the last point in the array is (10, 25), the
constructed Bezier will end at (1 + 10, -2 + 25) = (11, 23).
Otherwise, the points are used as absolute coordinates.
Returns
out -- This object.
Return type
RobustPath
smooth(points, angles=None, curl_start=1, curl_end=1, t_in=1, t_out=1, cycle=False,
width=None, offset=None, relative=True)
Add a smooth interpolating curve through the given points.
Uses the Hobby algorithm
[1]_
to calculate a smooth interpolating curve made of cubic Bezier segments
between each pair of points.
Parameters
• points (array-like[N][2]) -- Vertices in the interpolating curve.
• angles (array-like[N + 1] or None) -- Tangent angles at each point
(in radians). Any angles defined as None are automatically
calculated.
• curl_start (number) -- Ratio between the mock curvatures at the
first point and at its neighbor. A value of 1 renders the first
segment a good approximation for a circular arc. A value of 0 will
better approximate a straight segment. It has no effect for closed
curves or when an angle is defined for the first point.
• curl_end (number) -- Ratio between the mock curvatures at the last
point and at its neighbor. It has no effect for closed curves or
when an angle is defined for the first point.
• t_in (number or array-like[N + 1]) -- Tension parameter when
arriving at each point. One value per point or a single value used
for all points.
• t_out (number or array-like[N + 1]) -- Tension parameter when
leaving each point. One value per point or a single value used for
all points.
• cycle (bool) -- If True, calculates control points for a closed
curve, with an additional segment connecting the first and last
points.
• width (number, callable, list) -- If a number, all parallel paths
are linearly tapered to this width along the segment. If this is
callable, it must be a function of one argument (that varies from 0
to 1) that returns the width of the path. A list can be used where
each element (number or callable) defines the width for one of the
parallel paths in this object.
• offset (number, callable, list) -- If a number, all parallel paths
offsets are linearly increased by this amount (which can be
negative). If this is callable, it must be a function of one
argument (that varies from 0 to 1) that returns the offset
increase. A list can be used where each element (number or
callable) defines the absolute offset (not offset increase) for one
of the parallel paths in this object.
• relative (bool) -- If True, all coordinates in the points array are
used as offsets from the current path position, i.e., if the path
is at (1, -2) and the last point in the array is (10, 25), the
constructed curve will end at (1 + 10, -2 + 25) = (11, 23).
Otherwise, the points are used as absolute coordinates.
Returns
out -- This object.
Return type
RobustPath
Notes
Arguments width and offset are repeated for each cubic Bezier that
composes this path element.
References
[1] Hobby, J.D. Discrete Comput. Geom. (1986) 1: 123. DOI: 10.1007/BF02187690
Curve
class gdspy.Curve(x, y=0, tolerance=0.01)
Bases: object
Generation of curves loosely based on SVG paths.
Short summary of available methods:
┌───────┬───────────────────────────────┐
│Method │ Primitive │
├───────┼───────────────────────────────┤
│L/l │ Line segments │
├───────┼───────────────────────────────┤
│H/h │ Horizontal line segments │
├───────┼───────────────────────────────┤
│V/v │ Vertical line segments │
├───────┼───────────────────────────────┤
│C/c │ Cubic Bezier curve │
├───────┼───────────────────────────────┤
│S/s │ Smooth cubic Bezier curve │
└───────┴───────────────────────────────┘
│Q/q │ Quadratic Bezier curve │
├───────┼───────────────────────────────┤
│T/t │ Smooth quadratic Bezier curve │
├───────┼───────────────────────────────┤
│B/b │ General degree Bezier curve │
├───────┼───────────────────────────────┤
│I/i │ Smooth interpolating curve │
├───────┼───────────────────────────────┤
│arc │ Elliptical arc │
└───────┴───────────────────────────────┘
The uppercase version of the methods considers that all coordinates are absolute,
whereas the lowercase considers that they are relative to the current end point of
the curve.
Parameters
• x (number) -- X-coordinate of the starting point of the curve. If this is
a complex number, the value of y is ignored and the starting point becomes
(x.real, x.imag).
• y (number) -- Y-coordinate of the starting point of the curve.
• tolerance (number) -- Tolerance used to calculate a polygonal
approximation to the curve.
Notes
In all methods of this class that accept coordinate pairs, a single
complex number can be passed to be split into its real and imaginary
parts. This feature can be useful in expressing coordinates in polar
form.
All commands follow the SVG 2 specification, except for elliptical arcs
and smooth interpolating curves, which are inspired by the Metapost
syntax.
Examples.sp
>>> curve = gdspy.Curve(3, 4).H(1).q(0.5, 1, 2j).L(2 + 3j, 2, 2)
>>> pol = gdspy.Polygon(curve.get_points())
get_points()
Get the polygonal points that approximate this curve.
Returns
out -- Vertices of the polygon.
Return type
Numpy array[N, 2]
L(*xy) Add straight line segments to the curve.
Parameters
xy (numbers) -- Endpoint coordinates of the line segments.
Returns
out -- This curve.
Return type
Curve
l(*xy) Add straight line segments to the curve.
Parameters
xy (numbers) -- Endpoint coordinates of the line segments relative to
the current end point.
Returns
out -- This curve.
Return type
Curve
H(*x) Add horizontal line segments to the curve.
Parameters
x (numbers) -- Endpoint x-coordinates of the line segments.
Returns
out -- This curve.
Return type
Curve
h(*x) Add horizontal line segments to the curve.
Parameters
x (numbers) -- Endpoint x-coordinates of the line segments relative
to the current end point.
Returns
out -- This curve.
Return type
Curve
V(*y) Add vertical line segments to the curve.
Parameters
y (numbers) -- Endpoint y-coordinates of the line segments.
Returns
out -- This curve.
Return type
Curve
v(*y) Add vertical line segments to the curve.
Parameters
y (numbers) -- Endpoint y-coordinates of the line segments relative
to the current end point.
Returns
out -- This curve.
Return type
Curve
arc(radius, initial_angle, final_angle, rotation=0)
Add an elliptical arc to the curve.
Parameters
• radius (number, array-like[2]) -- Arc radius. An elliptical arc
can be created by passing an array with 2 radii.
• initial_angle (number) -- Initial angle of the arc (in radians).
• final_angle (number) -- Final angle of the arc (in radians).
• rotation (number) -- Rotation of the axis of the ellipse.
Returns
out -- This curve.
Return type
Curve
C(*xy) Add cubic Bezier curves to the curve.
Parameters
xy (numbers) -- Coordinate pairs. Each set of 3 pairs are interpreted
as the control point at the beginning of the curve, the control point
at the end of the curve and the endpoint of the curve.
Returns
out -- This curve.
Return type
Curve
c(*xy) Add cubic Bezier curves to the curve.
Parameters
xy (numbers) -- Coordinate pairs. Each set of 3 pairs are interpreted
as the control point at the beginning of the curve, the control point
at the end of the curve and the endpoint of the curve. All
coordinates are relative to the current end point.
Returns
out -- This curve.
Return type
Curve
S(*xy) Add smooth cubic Bezier curves to the curve.
Parameters
xy (numbers) -- Coordinate pairs. Each set of 2 pairs are interpreted
as the control point at the end of the curve and the endpoint of the
curve. The control point at the beginning of the curve is assumed to
be the reflection of the control point at the end of the last curve
relative to the starting point of the curve. If the previous curve is
not a cubic Bezier, the control point is coincident with the starting
point.
Returns
out -- This curve.
Return type
Curve
s(*xy) Add smooth cubic Bezier curves to the curve.
Parameters
xy (numbers) -- Coordinate pairs. Each set of 2 pairs are interpreted
as the control point at the end of the curve and the endpoint of the
curve. The control point at the beginning of the curve is assumed to
be the reflection of the control point at the end of the last curve
relative to the starting point of the curve. If the previous curve is
not a cubic Bezier, the control point is coincident with the starting
point. All coordinates are relative to the current end point.
Returns
out -- This curve.
Return type
Curve
Q(*xy) Add quadratic Bezier curves to the curve.
Parameters
xy (numbers) -- Coordinate pairs. Each set of 2 pairs are interpreted
as the control point and the endpoint of the curve.
Returns
out -- This curve.
Return type
Curve
q(*xy) Add quadratic Bezier curves to the curve.
Parameters
xy (numbers) -- Coordinate pairs. Each set of 2 pairs are interpreted
as the control point and the endpoint of the curve. All coordinates
are relative to the current end point.
Returns
out -- This curve.
Return type
Curve
T(*xy) Add smooth quadratic Bezier curves to the curve.
Parameters
xy (numbers) -- Coordinates of the endpoints of the curves. The
control point is assumed to be the reflection of the control point of
the last curve relative to the starting point of the curve. If the
previous curve is not a quadratic Bezier, the control point is
coincident with the starting point.
Returns
out -- This curve.
Return type
Curve
t(*xy) Add smooth quadratic Bezier curves to the curve.
Parameters
xy (numbers) -- Coordinates of the endpoints of the curves. The
control point is assumed to be the reflection of the control point of
the last curve relative to the starting point of the curve. If the
previous curve is not a quadratic Bezier, the control point is
coincident with the starting point. All coordinates are relative to
the current end point.
Returns
out -- This curve.
Return type
Curve
B(*xy) Add a general degree Bezier curve.
Parameters
xy (numbers) -- Coordinate pairs. The last coordinate is the
endpoint of curve and all other are control points.
Returns
out -- This curve.
Return type
Curve
b(*xy) Add a general degree Bezier curve.
Parameters
xy (numbers) -- Coordinate pairs. The last coordinate is the
endpoint of curve and all other are control points. All coordinates
are relative to the current end point.
Returns
out -- This curve.
Return type
Curve
I(points, angles=None, curl_start=1, curl_end=1, t_in=1, t_out=1, cycle=False)
Add a smooth interpolating curve through the given points.
Uses the Hobby algorithm
[1]_
to calculate a smooth interpolating curve made of cubic Bezier segments
between each pair of points.
Parameters
• points (array-like[N][2]) -- Vertices in the interpolating curve.
• angles (array-like[N + 1] or None) -- Tangent angles at each point
(in radians). Any angles defined as None are automatically
calculated.
• curl_start (number) -- Ratio between the mock curvatures at the
first point and at its neighbor. A value of 1 renders the first
segment a good approximation for a circular arc. A value of 0 will
better approximate a straight segment. It has no effect for closed
curves or when an angle is defined for the first point.
• curl_end (number) -- Ratio between the mock curvatures at the last
point and at its neighbor. It has no effect for closed curves or
when an angle is defined for the first point.
• t_in (number or array-like[N + 1]) -- Tension parameter when
arriving at each point. One value per point or a single value used
for all points.
• t_out (number or array-like[N + 1]) -- Tension parameter when
leaving each point. One value per point or a single value used for
all points.
• cycle (bool) -- If True, calculates control points for a closed
curve, with an additional segment connecting the first and last
points.
Returns
out -- This curve.
Return type
Curve
Examples.sp
>>> c1 = gdspy.Curve(0, 1).I([(1, 1), (2, 1), (1, 0)])
>>> c2 = gdspy.Curve(0, 2).I([(1, 2), (2, 2), (1, 1)],
... cycle=True)
>>> ps = gdspy.PolygonSet([c1.get_points(), c2.get_points()])
References
[1] Hobby, J.D. Discrete Comput. Geom. (1986) 1: 123. DOI: 10.1007/BF02187690
i(points, angles=None, curl_start=1, curl_end=1, t_in=1, t_out=1, cycle=False)
Add a smooth interpolating curve through the given points.
Uses the Hobby algorithm
[1]_
to calculate a smooth interpolating curve made of cubic Bezier segments
between each pair of points.
Parameters
• points (array-like[N][2]) -- Vertices in the interpolating curve
(relative to teh current endpoint).
• angles (array-like[N + 1] or None) -- Tangent angles at each point
(in radians). Any angles defined as None are automatically
calculated.
• curl_start (number) -- Ratio between the mock curvatures at the
first point and at its neighbor. A value of 1 renders the first
segment a good approximation for a circular arc. A value of 0 will
better approximate a straight segment. It has no effect for closed
curves or when an angle is defined for the first point.
• curl_end (number) -- Ratio between the mock curvatures at the last
point and at its neighbor. It has no effect for closed curves or
when an angle is defined for the first point.
• t_in (number or array-like[N + 1]) -- Tension parameter when
arriving at each point. One value per point or a single value used
for all points.
• t_out (number or array-like[N + 1]) -- Tension parameter when
leaving each point. One value per point or a single value used for
all points.
• cycle (bool) -- If True, calculates control points for a closed
curve, with an additional segment connecting the first and last
points.
Returns
out -- This curve.
Return type
Curve
Examples.sp
>>> c1 = gdspy.Curve(0, 1).i([(1, 0), (2, 0), (1, -1)])
>>> c2 = gdspy.Curve(0, 2).i([(1, 0), (2, 0), (1, -1)],
... cycle=True)
>>> ps = gdspy.PolygonSet([c1.get_points(), c2.get_points()])
References
[1] Hobby, J.D. Discrete Comput. Geom. (1986) 1: 123. DOI: 10.1007/BF02187690
Label
class gdspy.Label(text, position, anchor='o', rotation=None, magnification=None,
x_reflection=False, layer=0, texttype=0)
Bases: object
Text that can be used to label parts of the geometry or display messages. The text
does not create additional geometry, it's meant for display and labeling purposes
only.
Parameters
• text (string) -- The text of this label.
• position (array-like[2]) -- Text anchor position.
• anchor ('n', 's', 'e', 'w', 'o', 'ne', 'nw'...) -- Position of the anchor
relative to the text.
• rotation (number) -- Angle of rotation of the label (in degrees).
• magnification (number) -- Magnification factor for the label.
• x_reflection (bool) -- If True, the label is reflected parallel to the x
direction before being rotated (not supported by LayoutViewer).
• layer (integer) -- The GDSII layer number for these elements.
• texttype (integer) -- The GDSII text type for the label (between 0 and
63).
Variables
• text (string) -- The text of this label.
• position (array-like[2]) -- Text anchor position.
• anchor (int) -- Position of the anchor relative to the text.
• rotation (number) -- Angle of rotation of the label (in degrees).
• magnification (number) -- Magnification factor for the label.
• x_reflection (bool) -- If True, the label is reflected parallel to the x
direction before being rotated (not supported by LayoutViewer).
• layer (integer) -- The GDSII layer number for these elements.
• texttype (integer) -- The GDSII text type for the label (between 0 and
63).
Examples.sp
>>> label = gdspy.Label('Sample label', (10, 0), 'sw')
>>> myCell.add(label)
to_gds(multiplier)
Convert this label to a GDSII structure.
Parameters
multiplier (number) -- A number that multiplies all dimensions
written in the GDSII structure.
Returns
out -- The GDSII binary string that represents this label.
Return type
string
translate(dx, dy)
Translate this label.
Parameters
• dx (number) -- Distance to move in the x-direction
• dy (number) -- Distance to move in the y-direction
Returns
out -- This object.
Return type
Label
Examples.sp
>>> text = gdspy.Label((0, 0), (10, 20))
>>> text = text.translate(2, 0)
>>> myCell.add(text)
boolean
gdspy.boolean(operand1, operand2, operation, precision=0.001, max_points=199, layer=0,
datatype=0)
Execute any boolean operation between 2 polygons or polygon sets.
Parameters
• operand1 (PolygonSet, CellReference, CellArray or iterable) -- First
operand. If this is an iterable, each element must be a PolygonSet,
CellReference, CellArray, or an array-like[N][2] of vertices of a polygon.
• operand2 (None, PolygonSet, CellReference, CellArray or iterable) --
Second operand. If this is an iterable, each element must be a
PolygonSet, CellReference, CellArray, or an array-like[N][2] of vertices
of a polygon.
• operation ({'or', 'and', 'xor', 'not'}) -- Boolean operation to be
executed. The 'not' operation returns the difference operand1 - operand2.
• precision (float) -- Desired precision for rounding vertice coordinates.
• max_points (integer) -- If greater than 4, fracture the resulting polygons
to ensure they have at most max_points vertices. This is not a
tessellating function, so this number should be as high as possible. For
example, it should be set to 199 for polygons being drawn in GDSII files.
• layer (integer) -- The GDSII layer number for the resulting element.
• datatype (integer) -- The GDSII datatype for the resulting element
(between 0 and 255).
Returns
out -- Result of the boolean operation.
Return type
PolygonSet or None
offset
gdspy.offset(polygons, distance, join='miter', tolerance=2, precision=0.001,
join_first=False, max_points=199, layer=0, datatype=0)
Shrink or expand a polygon or polygon set.
Parameters
• polygons (PolygonSet, CellReference, CellArray or iterable) -- Polygons to
be offset. If this is an iterable, each element must be a PolygonSet,
CellReference, CellArray, or an array-like[N][2] of vertices of a polygon.
• distance (number) -- Offset distance. Positive to expand, negative to
shrink.
• join ('miter', 'bevel', 'round') -- Type of join used to create the offset
polygon.
• tolerance (number) -- For miter joints, this number must be at least 2 and
it represents the maximal distance in multiples of offset between new
vertices and their original position before beveling to avoid spikes at
acute joints. For round joints, it indicates the curvature resolution in
number of points per full circle.
• precision (float) -- Desired precision for rounding vertex coordinates.
• join_first (bool) -- Join all paths before offsetting to avoid unnecessary
joins in adjacent polygon sides.
• max_points (integer) -- If greater than 4, fracture the resulting polygons
to ensure they have at most max_points vertices. This is not a
tessellating function, so this number should be as high as possible. For
example, it should be set to 199 for polygons being drawn in GDSII files.
• layer (integer) -- The GDSII layer number for the resulting element.
• datatype (integer) -- The GDSII datatype for the resulting element
(between 0 and 255).
Returns
out -- Return the offset shape as a set of polygons.
Return type
PolygonSet or None
slice
gdspy.slice(polygons, position, axis, precision=0.001, layer=0, datatype=0)
Slice polygons and polygon sets at given positions along an axis.
Parameters
• polygons (PolygonSet, CellReference, CellArray or iterable) -- Operand of
the slice operation. If this is an iterable, each element must be a
PolygonSet, CellReference, CellArray, or an array-like[N][2] of vertices
of a polygon.
• position (number or list of numbers) -- Positions to perform the slicing
operation along the specified axis.
• axis (0 or 1) -- Axis along which the polygon will be sliced.
• precision (float) -- Desired precision for rounding vertice coordinates.
• layer (integer, list) -- The GDSII layer numbers for the elements between
each division. If the number of layers in the list is less than the
number of divided regions, the list is repeated.
• datatype (integer, list) -- The GDSII datatype for the resulting element
(between 0 and 255). If the number of datatypes in the list is less than
the number of divided regions, the list is repeated.
Returns
out -- Result of the slicing operation, with N = len(positions) + 1. Each
PolygonSet comprises all polygons between 2 adjacent slicing positions, in
crescent order.
Return type
list[N] of PolygonSet or None
Examples.sp
>>> ring = gdspy.Round((0, 0), 10, inner_radius = 5)
>>> result = gdspy.slice(ring, [-7, 7], 0)
>>> cell.add(result[1])
inside
gdspy.inside(points, polygons, short_circuit='any', precision=0.001)
Test whether each of the points is within the given set of polygons.
Parameters
• points (array-like[N][2] or sequence of array-like[N][2]) -- Coordinates
of the points to be tested or groups of points to be tested together.
• polygons (PolygonSet, CellReference, CellArray or iterable) -- Polygons to
be tested against. If this is an iterable, each element must be a
PolygonSet, CellReference, CellArray, or an array-like[N][2] of vertices
of a polygon.
• short_circuit ({'any', 'all'}) -- If points is a sequence of point groups,
testing within each group will be short-circuited if any of the points in
the group is inside ('any') or outside ('all') the polygons. If points is
simply a sequence of points, this parameter has no effect.
• precision (float) -- Desired precision for rounding vertice coordinates.
Returns
out -- Tuple of booleans indicating if each of the points or point groups is
inside the set of polygons.
Return type
tuple
copy
gdspy.copy(obj, dx=0, dy=0)
Create a copy of obj and translate it by (dx, dy).
Parameters
• obj (translatable object) -- Object to be copied.
• dx (number) -- Distance to move in the x-direction.
• dy (number) -- Distance to move in the y-direction.
Returns
out -- Translated copy of original obj
Return type
translatable object
Examples.sp
>>> rectangle = gdspy.Rectangle((0, 0), (10, 20))
>>> rectangle2 = gdspy.copy(rectangle, 2,0)
>>> myCell.add(rectangle)
>>> myCell.add(rectangle2)
GDSII Library
Cell
class gdspy.Cell(name, exclude_from_current=False)
Bases: object
Collection of polygons, paths, labels and raferences to other cells.
Parameters
• name (string) -- The name of the cell.
• exclude_from_current (bool) -- If True, the cell will not be automatically
included in the current library.
Variables
• name (string) -- The name of this cell.
• polygons (list of PolygonSet) -- List of cell polygons.
• paths (list of RobustPath or FlexPath) -- List of cell paths.
• labels (list of Label) -- List of cell labels.
• references (list of CellReference or CellArray) -- List of cell
references.
to_gds(multiplier, timestamp=None)
Convert this cell to a GDSII structure.
Parameters
• multiplier (number) -- A number that multiplies all dimensions
written in the GDSII structure.
• timestamp (datetime object) -- Sets the GDSII timestamp. If None,
the current time is used.
Returns
out -- The GDSII binary string that represents this cell.
Return type
string
copy(name, exclude_from_current=False, deep_copy=False)
Creates a copy of this cell.
Parameters
• name (string) -- The name of the cell.
• exclude_from_current (bool) -- If True, the cell will not be
included in the global list of cells maintained by gdspy.
• deep_copy (bool) -- If False, the new cell will contain only
references to the existing elements. If True, copies of all
elements are also created.
Returns
out -- The new copy of this cell.
Return type
Cell
add(element)
Add a new element or list of elements to this cell.
Parameters
element (PolygonSet, CellReference, CellArray or iterable) -- The
element or iterable of elements to be inserted in this cell.
Returns
out -- This cell.
Return type
Cell
remove_polygons(test)
Remove polygons from this cell.
The function or callable test is called for each polygon in the cell. If
its return value evaluates to True, the corresponding polygon is removed
from the cell.
Parameters
test (callable) -- Test function to query whether a polygon should be
removed. The function is called with arguments: (points, layer,
datatype)
Returns
out -- This cell.
Return type
Cell
Examples
Remove polygons in layer 1:
>>> cell.remove_polygons(lambda pts, layer, datatype:
... layer == 1)
Remove polygons with negative x coordinates:
>>> cell.remove_polygons(lambda pts, layer, datatype:
... any(pts[:, 0] < 0))
remove_paths(test)
Remove paths from this cell.
The function or callable test is called for each FlexPath or RobustPath in
the cell. If its return value evaluates to True, the corresponding label is
removed from the cell.
Parameters
test (callable) -- Test function to query whether a path should be
removed. The function is called with the path as the only argument.
Returns
out -- This cell.
Return type
Cell
remove_labels(test)
Remove labels from this cell.
The function or callable test is called for each label in the cell. If its
return value evaluates to True, the corresponding label is removed from the
cell.
Parameters
test (callable) -- Test function to query whether a label should be
removed. The function is called with the label as the only argument.
Returns
out -- This cell.
Return type
Cell
Examples
Remove labels in layer 1:
>>> cell.remove_labels(lambda lbl: lbl.layer == 1)
area(by_spec=False)
Calculate the total area of the elements on this cell, including cell
references and arrays.
Parameters
by_spec (bool) -- If True, the return value is a dictionary with the
areas of each individual pair (layer, datatype).
Returns
out -- Area of this cell.
Return type
number, dictionary
get_layers()
Return the set of layers in this cell.
Returns
out -- Set of the layers used in this cell.
Return type
set
get_datatypes()
Return the set of datatypes in this cell.
Returns
out -- Set of the datatypes used in this cell.
Return type
set
get_bounding_box()
Calculate the bounding box for this cell.
Returns
out -- Bounding box of this cell [[x_min, y_min], [x_max, y_max]], or
None if the cell is empty.
Return type
Numpy array[2, 2] or None
get_polygons(by_spec=False, depth=None)
Return a list of polygons in this cell.
Parameters
• by_spec (bool) -- If True, the return value is a dictionary with
the polygons of each individual pair (layer, datatype).
• depth (integer or None) -- If not None, defines from how many
reference levels to retrieve polygons. References below this level
will result in a bounding box. If by_spec is True the key will be
the name of this cell.
Returns
out -- List containing the coordinates of the vertices of each
polygon, or dictionary with the list of polygons (if by_spec is
True).
Return type
list of array-like[N][2] or dictionary
NOTE:
Instances of FlexPath and RobustPath are also included in the result by
computing their polygonal boundary.
get_polygonsets(depth=None)
Return a list with a copy of the polygons in this cell.
Parameters
depth (integer or None) -- If not None, defines from how many
reference levels to retrieve polygons from.
Returns
out -- List containing the polygons in this cell and its references.
Return type
list of PolygonSet
get_paths(depth=None)
Return a list with a copy of the paths in this cell.
Parameters
depth (integer or None) -- If not None, defines from how many
reference levels to retrieve paths from.
Returns
out -- List containing the paths in this cell and its references.
Return type
list of FlexPath or RobustPath
get_labels(depth=None)
Return a list with a copy of the labels in this cell.
Parameters
depth (integer or None) -- If not None, defines from how many
reference levels to retrieve labels from.
Returns
out -- List containing the labels in this cell and its references.
Return type
list of Label
get_dependencies(recursive=False)
Return a list of the cells included in this cell as references.
Parameters
recursive (bool) -- If True returns cascading dependencies.
Returns
out -- List of the cells referenced by this cell.
Return type
set of Cell
flatten(single_layer=None, single_datatype=None, single_texttype=None)
Convert all references into polygons, paths and labels.
Parameters
• single_layer (integer or None) -- If not None, all polygons will be
transferred to the layer indicated by this number.
• single_datatype (integer or None) -- If not None, all polygons will
be transferred to the datatype indicated by this number.
• single_datatype -- If not None, all labels will be transferred to
the texttype indicated by this number.
Returns
out -- This cell.
Return type
Cell
CellReference
class gdspy.CellReference(ref_cell, origin=(0, 0), rotation=None, magnification=None,
x_reflection=False, ignore_missing=False)
Bases: object
Simple reference to an existing cell.
Parameters
• ref_cell (Cell or string) -- The referenced cell or its name.
• origin (array-like[2]) -- Position where the reference is inserted.
• rotation (number) -- Angle of rotation of the reference (in degrees).
• magnification (number) -- Magnification factor for the reference.
• x_reflection (bool) -- If True the reference is reflected parallel to the
x direction before being rotated.
• ignore_missing (bool) -- If False a warning is issued when the referenced
cell is not found.
to_gds(multiplier)
Convert this object to a GDSII element.
Parameters
multiplier (number) -- A number that multiplies all dimensions
written in the GDSII element.
Returns
out -- The GDSII binary string that represents this object.
Return type
string
area(by_spec=False)
Calculate the total area of the referenced cell with the magnification
factor included.
Parameters
by_spec (bool) -- If True, the return value is a dictionary with the
areas of each individual pair (layer, datatype).
Returns
out -- Area of this cell.
Return type
number, dictionary
get_polygons(by_spec=False, depth=None)
Return the list of polygons created by this reference.
Parameters
• by_spec (bool) -- If True, the return value is a dictionary with
the polygons of each individual pair (layer, datatype).
• depth (integer or None) -- If not None, defines from how many
reference levels to retrieve polygons. References below this level
will result in a bounding box. If by_spec is True the key will be
the name of the referenced cell.
Returns
out -- List containing the coordinates of the vertices of each
polygon, or dictionary with the list of polygons (if by_spec is
True).
Return type
list of array-like[N][2] or dictionary
NOTE:
Instances of FlexPath and RobustPath are also included in the result by
computing their polygonal boundary.
get_polygonsets(depth=None)
Return the list of polygons created by this reference.
Parameters
depth (integer or None) -- If not None, defines from how many
reference levels to retrieve polygons from.
Returns
out -- List containing the polygons in this cell and its references.
Return type
list of PolygonSet
get_paths(depth=None)
Return the list of paths created by this reference.
Parameters
depth (integer or None) -- If not None, defines from how many
reference levels to retrieve paths from.
Returns
out -- List containing the paths in this cell and its references.
Return type
list of FlexPath or RobustPath
get_labels(depth=None)
Return the list of labels created by this reference.
Parameters
depth (integer or None) -- If not None, defines from how many
reference levels to retrieve labels from.
Returns
out -- List containing the labels in this cell and its references.
Return type
list of Label
get_bounding_box()
Calculate the bounding box for this reference.
Returns
out -- Bounding box of this cell [[x_min, y_min], [x_max, y_max]], or
None if the cell is empty.
Return type
Numpy array[2, 2] or None
translate(dx, dy)
Translate this reference.
Parameters
• dx (number) -- Distance to move in the x-direction.
• dy (number) -- Distance to move in the y-direction.
Returns
out -- This object.
Return type
CellReference
CellArray
class gdspy.CellArray(ref_cell, columns, rows, spacing, origin=(0, 0), rotation=None,
magnification=None, x_reflection=False, ignore_missing=False)
Bases: object
Multiple references to an existing cell in an array format.
Parameters
• ref_cell (Cell or string) -- The referenced cell or its name.
• columns (positive integer) -- Number of columns in the array.
• rows (positive integer) -- Number of columns in the array.
• spacing (array-like[2]) -- distances between adjacent columns and adjacent
rows.
• origin (array-like[2]) -- Position where the cell is inserted.
• rotation (number) -- Angle of rotation of the reference (in degrees).
• magnification (number) -- Magnification factor for the reference.
• x_reflection (bool) -- If True, the reference is reflected parallel to the
x direction before being rotated.
• ignore_missing (bool) -- If False a warning is issued when the referenced
cell is not found.
to_gds(multiplier)
Convert this object to a GDSII element.
Parameters
multiplier (number) -- A number that multiplies all dimensions
written in the GDSII element.
Returns
out -- The GDSII binary string that represents this object.
Return type
string
area(by_spec=False)
Calculate the total area of the cell array with the magnification factor
included.
Parameters
by_spec (bool) -- If True, the return value is a dictionary with the
areas of each individual pair (layer, datatype).
Returns
out -- Area of this cell.
Return type
number, dictionary
get_polygons(by_spec=False, depth=None)
Return the list of polygons created by this reference.
Parameters
• by_spec (bool) -- If True, the return value is a dictionary with
the polygons of each individual pair (layer, datatype).
• depth (integer or None) -- If not None, defines from how many
reference levels to retrieve polygons. References below this level
will result in a bounding box. If by_spec is True the key will be
name of the referenced cell.
Returns
out -- List containing the coordinates of the vertices of each
polygon, or dictionary with the list of polygons (if by_spec is
True).
Return type
list of array-like[N][2] or dictionary
NOTE:
Instances of FlexPath and RobustPath are also included in the result by
computing their polygonal boundary.
get_polygonsets(depth=None)
Return the list of polygons created by this reference.
Parameters
depth (integer or None) -- If not None, defines from how many
reference levels to retrieve polygons from.
Returns
out -- List containing the polygons in this cell and its references.
Return type
list of PolygonSet
get_paths(depth=None)
Return the list of paths created by this reference.
Parameters
depth (integer or None) -- If not None, defines from how many
reference levels to retrieve paths from.
Returns
out -- List containing the paths in this cell and its references.
Return type
list of FlexPath or RobustPath
get_labels(depth=None)
Return the list of labels created by this reference.
Parameters
depth (integer or None) -- If not None, defines from how many
reference levels to retrieve labels from.
Returns
out -- List containing the labels in this cell and its references.
Return type
list of Label
get_bounding_box()
Calculate the bounding box for this reference.
Returns
out -- Bounding box of this cell [[x_min, y_min], [x_max, y_max]], or
None if the cell is empty.
Return type
Numpy array[2, 2] or None
translate(dx, dy)
Translate this reference.
Parameters
• dx (number) -- Distance to move in the x-direction.
• dy (number) -- Distance to move in the y-direction.
Returns
out -- This object.
Return type
CellArray
GdsLibrary
class gdspy.GdsLibrary(name='library', infile=None, unit=1e-06, precision=1e-09, **kwargs)
Bases: object
GDSII library (file).
Represent a GDSII library containing a dictionary of cells.
Parameters
• name (string) -- Name of the GDSII library. Ignored if a name is defined
in infile.
• infile (file or string) -- GDSII stream file (or path) to be imported. It
must be opened for reading in binary format.
• kwargs (keyword arguments) -- Arguments passed to read_gds.
Variables
• name (string) -- Name of the GDSII library.
• cell_dict (dictionary) -- Dictionary of cells in this library, indexed by
name.
• unit (number) -- Unit size for the objects in the library (in meters).
• precision (number) -- Precision for the dimensions of the objects in the
library (in meters).
add(cell, overwrite_duplicate=False)
Add one or more cells to the library.
Parameters
• cell (Cell or iterable) -- Cells to be included in the library.
• overwrite_duplicate (bool) -- If True an existing cell with the
same name in the library will be overwritten.
Returns
out -- This object.
Return type
GdsLibrary
Notes
CellReference or CellArray instances that referred to an
overwritten cell are not automatically updated.
write_gds(outfile, cells=None, timestamp=None, binary_cells=None)
Write the GDSII library to a file.
The dimensions actually written on the GDSII file will be the dimensions of
the objects created times the ratio unit/precision. For example, if a
circle with radius 1.5 is created and we set GdsLibrary.unit to 1.0e-6 (1
um) and GdsLibrary.precision to 1.0e-9` (1 nm), the radius of the circle
will be 1.5 um and the GDSII file will contain the dimension 1500 nm.
Parameters
• outfile (file or string) -- The file (or path) where the GDSII
stream will be written. It must be opened for writing operations
in binary format.
• cells (iterable) -- The cells or cell names to be included in the
library. If None, all cells are used.
• timestamp (datetime object) -- Sets the GDSII timestamp. If None,
the current time is used.
• binary_cells (iterable of bytes) -- Iterable with binary data for
GDSII cells (from get_binary_cells, for example).
Notes
Only the specified cells are written. The user is responsible for
ensuring all cell dependencies are satisfied.
read_gds(infile, units='skip', rename={}, rename_template='{name}', layers={},
datatypes={}, texttypes={})
Read a GDSII file into this library.
Parameters
• infile (file or string) -- GDSII stream file (or path) to be
imported. It must be opened for reading in binary format.
• units ({'convert', 'import', 'skip'}) -- Controls how to scale and
use the units in the imported file. 'convert': the imported
geometry is scaled to this library units. 'import': the unit and
precision in this library are replaced by those from the imported
file. 'skip': the imported geometry is not scaled and units are
not replaced; the geometry is imported in the user units of the
file.
• rename (dictionary) -- Dictionary used to rename the imported
cells. Keys and values must be strings.
• rename_template (string) -- Template string used to rename the
imported cells. Appiled only if the cell name is not in the rename
dictionary. Examples: 'prefix-{name}', '{name}-suffix'
• layers (dictionary) -- Dictionary used to convert the layers in the
imported cells. Keys and values must be integers.
• datatypes (dictionary) -- Dictionary used to convert the datatypes
in the imported cells. Keys and values must be integers.
• texttypes (dictionary) -- Dictionary used to convert the text types
in the imported cells. Keys and values must be integers.
Returns
out -- This object.
Return type
GdsLibrary
Notes
Not all features from the GDSII specification are currently
supported. A warning will be produced if any unsupported features
are found in the imported file.
extract(cell, overwrite_duplicate=False)
Extract a cell from the this GDSII file and include it in the current global
library, including referenced dependencies.
Parameters
• cell (Cell or string) -- Cell or name of the cell to be extracted
from the imported file. Referenced cells will be automatically
extracted as well.
• overwrite_duplicate (bool) -- If True an existing cell with the
same name in the current global library will be overwritten.
Returns
out -- The extracted cell.
Return type
Cell
Notes
CellReference or CellArray instances that referred to an
overwritten cell are not automatically updated.
top_level()
Output the top level cells from the GDSII data.
Top level cells are those that are not referenced by any other cells.
Returns
out -- List of top level cells.
Return type
list
GdsWriter
class gdspy.GdsWriter(outfile, name='library', unit=1e-06, precision=1e-09,
timestamp=None)
Bases: object
GDSII strem library writer.
The dimensions actually written on the GDSII file will be the dimensions of the
objects created times the ratio unit/precision. For example, if a circle with
radius 1.5 is created and we set unit to 1.0e-6 (1 um) and precision to 1.0e-9 (1
nm), the radius of the circle will be 1.5 um and the GDSII file will contain the
dimension 1500 nm.
Parameters
• outfile (file or string) -- The file (or path) where the GDSII stream will
be written. It must be opened for writing operations in binary format.
• name (string) -- Name of the GDSII library (file).
• unit (number) -- Unit size for the objects in the library (in meters).
• precision (number) -- Precision for the dimensions of the objects in the
library (in meters).
• timestamp (datetime object) -- Sets the GDSII timestamp. If None, the
current time is used.
Notes
This class can be used for incremental output of the geometry in case the
complete layout is too large to be kept in memory all at once.
Examples.sp
>>> writer = gdspy.GdsWriter('out-file.gds', unit=1.0e-6,
... precision=1.0e-9)
>>> for i in range(10):
... cell = gdspy.Cell('C{}'.format(i), True)
... # Add the contents of this cell...
... writer.write_cell(cell)
... # Clear the memory: erase Cell objects and any other objects
... # that won't be needed.
... del cell
>>> writer.close()
write_cell(cell, timestamp=None)
Write the specified cell to the file.
Parameters
• cell (Cell) -- Cell to be written.
• timestamp (datetime object) -- Sets the GDSII timestamp. If None,
the current time is used.
Notes
Only the specified cell is written. Dependencies must be manually
included.
Returns
out -- This object.
Return type
GdsWriter
write_binary_cells(binary_cells)
Write the specified binary cells to the file.
Parameters
binary_cells (iterable of bytes) -- Iterable with binary data for
GDSII cells (from get_binary_cells, for example).
Returns
out -- This object.
Return type
GdsWriter
close()
Finalize the GDSII stream library.
LayoutViewer
write_gds
gdspy.write_gds(outfile, cells=None, name='library', unit=1e-06, precision=1e-09,
timestamp=None, binary_cells=None)
Write the current GDSII library to a file.
The dimensions actually written on the GDSII file will be the dimensions of the
objects created times the ratio unit/precision. For example, if a circle with
radius 1.5 is created and we set unit to 1.0e-6 (1 um) and precision to 1.0e-9 (1
nm), the radius of the circle will be 1.5 um and the GDSII file will contain the
dimension 1500 nm.
Parameters
• outfile (file or string) -- The file (or path) where the GDSII stream will
be written. It must be opened for writing operations in binary format.
• cells (array-like) -- The sequence of cells or cell names to be included
in the library. If None, all cells are used.
• name (string) -- Name of the GDSII library.
• unit (number) -- Unit size for the objects in the library (in meters).
• precision (number) -- Precision for the dimensions of the objects in the
library (in meters).
• timestamp (datetime object) -- Sets the GDSII timestamp. If None, the
current time is used.
• binary_cells (iterable of bytes) -- Iterable with binary data for GDSII
cells (from get_binary_cells, for example).
gdsii_hash
gdspy.gdsii_hash(filename, engine=None)
Calculate the a hash value for a GDSII file.
The hash is generated based only on the contents of the cells in the GDSII library,
ignoring any timestamp records present in the file structure.
Parameters
• filename (string) -- Full path to the GDSII file.
• engine (hashlib-like engine) -- The engine that executes the hashing
algorithm. It must provide the methods update and hexdigest as defined in
the hashlib module. If None, the default hashlib.sha1() is used.
Returns
out -- The hash corresponding to the library contents in hex format.
Return type
string
get_binary_cells
gdspy.get_binary_cells(infile)
Load all cells from a GDSII stream file in binary format.
Parameters
infile (file or string) -- GDSII stream file (or path) to be loaded. It
must be opened for reading in binary format.
Returns
out -- Dictionary of binary cell representations indexed by name.
Return type
dictionary
Notes
The returned cells inherit the units of the loaded file. If they are
used in a new library, the new library must use compatible units.
get_gds_units
gdspy.get_gds_units(infile)
Return the unit and precision used in the GDS stream file.
Parameters
infile (file or string) -- GDSII stream file to be queried.
Returns
out -- Return (unit, precision) from the file.
Return type
2-tuple
current_library
gdspy.current_library = <gdspy.GdsLibrary object>
Current GdsLibrary instance for automatic creation of GDSII files.
This variable can be freely overwritten by the user with a new instance of
GdsLibrary. Examples.sp
>>> gdspy.Cell('MAIN')
>>> gdspy.current_library = GdsLibrary() # Reset current library
>>> gdspy.Cell('MAIN') # A new MAIN cell is created without error
SUPPORT
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AUTHOR
Lucas H. Gabrielli
COPYRIGHT
2009-2020, Lucas H. Gabrielli