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GNU General Public License
==========================
_Version 3, 29 June 2007_
_Copyright © 2007 Free Software Foundation, Inc. &lt;<http://fsf.org/>&gt;_
Everyone is permitted to copy and distribute verbatim copies of this license
document, but changing it is not allowed.
## Preamble
The GNU General Public License is a free, copyleft license for software and other
kinds of works.
The licenses for most software and other practical works are designed to take away
your freedom to share and change the works. By contrast, the GNU General Public
License is intended to guarantee your freedom to share and change all versions of a
program--to make sure it remains free software for all its users. We, the Free
Software Foundation, use the GNU General Public License for most of our software; it
applies also to any other work released this way by its authors. You can apply it to
your programs, too.
When we speak of free software, we are referring to freedom, not price. Our General
Public Licenses are designed to make sure that you have the freedom to distribute
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code or can get it if you want it, that you can change the software or use pieces of
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To protect your rights, we need to prevent others from denying you these rights or
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you distribute copies of the software, or if you modify it: responsibilities to
respect the freedom of others.
For example, if you distribute copies of such a program, whether gratis or for a fee,
you must pass on to the recipients the same freedoms that you received. You must make
sure that they, too, receive or can get the source code. And you must show them these
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Developers that use the GNU GPL protect your rights with two steps: **(1)** assert
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requires that modified versions be marked as changed, so that their problems will not
be attributed erroneously to authors of previous versions.
Some devices are designed to deny users access to install or run modified versions of
the software inside them, although the manufacturer can do so. This is fundamentally
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systematic pattern of such abuse occurs in the area of products for individuals to
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arise substantially in other domains, we stand ready to extend this provision to
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Finally, every program is threatened constantly by software patents. States should
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GPL assures that patents cannot be used to render the program non-free.
The precise terms and conditions for copying, distribution and modification follow.
## TERMS AND CONDITIONS
### 0. Definitions
“This License” refers to version 3 of the GNU General Public License.
“Copyright” also means copyright-like laws that apply to other kinds of
works, such as semiconductor masks.
“The Program” refers to any copyrightable work licensed under this
License. Each licensee is addressed as “you”. “Licensees” and
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To “modify” a work means to copy from or adapt all or part of the work in
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work “based on” the earlier work.
A “covered work” means either the unmodified Program or a work based on
the Program.
To “propagate” a work means to do anything with it that, without
permission, would make you directly or secondarily liable for infringement under
applicable copyright law, except executing it on a computer or modifying a private
copy. Propagation includes copying, distribution (with or without modification),
making available to the public, and in some countries other activities as well.
To “convey” a work means any kind of propagation that enables other
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An interactive user interface displays “Appropriate Legal Notices” to the
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displays an appropriate copyright notice, and **(2)** tells the user that there is no
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licensees may convey the work under this License, and how to view a copy of this
License. If the interface presents a list of user commands or options, such as a
menu, a prominent item in the list meets this criterion.
### 1. Source Code
The “source code” for a work means the preferred form of the work for
making modifications to it. “Object code” means any non-source form of a
work.
A “Standard Interface” means an interface that either is an official
standard defined by a recognized standards body, or, in the case of interfaces
specified for a particular programming language, one that is widely used among
developers working in that language.
The “System Libraries” of an executable work include anything, other than
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A “Major Component”, in this context, means a major essential component
(kernel, window system, and so on) of the specific operating system (if any) on which
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The “Corresponding Source” for a work in object code form means all the
source code needed to generate, install, and (for an executable work) run the object
code and to modify the work, including scripts to control those activities. However,
it does not include the work's System Libraries, or general-purpose tools or
generally available free programs which are used unmodified in performing those
activities but which are not part of the work. For example, Corresponding Source
includes interface definition files associated with source files for the work, and
the source code for shared libraries and dynamically linked subprograms that the work
is specifically designed to require, such as by intimate data communication or
control flow between those subprograms and other parts of the work.
The Corresponding Source need not include anything that users can regenerate
automatically from other parts of the Corresponding Source.
The Corresponding Source for a work in source code form is that same work.
### 2. Basic Permissions
All rights granted under this License are granted for the term of copyright on the
Program, and are irrevocable provided the stated conditions are met. This License
explicitly affirms your unlimited permission to run the unmodified Program. The
output from running a covered work is covered by this License only if the output,
given its content, constitutes a covered work. This License acknowledges your rights
of fair use or other equivalent, as provided by copyright law.
You may make, run and propagate covered works that you do not convey, without
conditions so long as your license otherwise remains in force. You may convey covered
works to others for the sole purpose of having them make modifications exclusively
for you, or provide you with facilities for running those works, provided that you
comply with the terms of this License in conveying all material for which you do not
control copyright. Those thus making or running the covered works for you must do so
exclusively on your behalf, under your direction and control, on terms that prohibit
them from making any copies of your copyrighted material outside their relationship
with you.
Conveying under any other circumstances is permitted solely under the conditions
stated below. Sublicensing is not allowed; section 10 makes it unnecessary.
### 3. Protecting Users' Legal Rights From Anti-Circumvention Law
No covered work shall be deemed part of an effective technological measure under any
applicable law fulfilling obligations under article 11 of the WIPO copyright treaty
adopted on 20 December 1996, or similar laws prohibiting or restricting circumvention
of such measures.
When you convey a covered work, you waive any legal power to forbid circumvention of
technological measures to the extent such circumvention is effected by exercising
rights under this License with respect to the covered work, and you disclaim any
intention to limit operation or modification of the work as a means of enforcing,
against the work's users, your or third parties' legal rights to forbid circumvention
of technological measures.
### 4. Conveying Verbatim Copies
You may convey verbatim copies of the Program's source code as you receive it, in any
medium, provided that you conspicuously and appropriately publish on each copy an
appropriate copyright notice; keep intact all notices stating that this License and
any non-permissive terms added in accord with section 7 apply to the code; keep
intact all notices of the absence of any warranty; and give all recipients a copy of
this License along with the Program.
You may charge any price or no price for each copy that you convey, and you may offer
support or warranty protection for a fee.
### 5. Conveying Modified Source Versions
You may convey a work based on the Program, or the modifications to produce it from
the Program, in the form of source code under the terms of section 4, provided that
you also meet all of these conditions:
* **a)** The work must carry prominent notices stating that you modified it, and giving a
relevant date.
* **b)** The work must carry prominent notices stating that it is released under this
License and any conditions added under section 7. This requirement modifies the
requirement in section 4 to “keep intact all notices”.
* **c)** You must license the entire work, as a whole, under this License to anyone who
comes into possession of a copy. This License will therefore apply, along with any
applicable section 7 additional terms, to the whole of the work, and all its parts,
regardless of how they are packaged. This License gives no permission to license the
work in any other way, but it does not invalidate such permission if you have
separately received it.
* **d)** If the work has interactive user interfaces, each must display Appropriate Legal
Notices; however, if the Program has interactive interfaces that do not display
Appropriate Legal Notices, your work need not make them do so.
A compilation of a covered work with other separate and independent works, which are
not by their nature extensions of the covered work, and which are not combined with
it such as to form a larger program, in or on a volume of a storage or distribution
medium, is called an “aggregate” if the compilation and its resulting
copyright are not used to limit the access or legal rights of the compilation's users
beyond what the individual works permit. Inclusion of a covered work in an aggregate
does not cause this License to apply to the other parts of the aggregate.
### 6. Conveying Non-Source Forms
You may convey a covered work in object code form under the terms of sections 4 and
5, provided that you also convey the machine-readable Corresponding Source under the
terms of this License, in one of these ways:
* **a)** Convey the object code in, or embodied in, a physical product (including a
physical distribution medium), accompanied by the Corresponding Source fixed on a
durable physical medium customarily used for software interchange.
* **b)** Convey the object code in, or embodied in, a physical product (including a
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three years and valid for as long as you offer spare parts or customer support for
that product model, to give anyone who possesses the object code either **(1)** a copy of
the Corresponding Source for all the software in the product that is covered by this
License, on a durable physical medium customarily used for software interchange, for
a price no more than your reasonable cost of physically performing this conveying of
source, or **(2)** access to copy the Corresponding Source from a network server at no
charge.
* **c)** Convey individual copies of the object code with a copy of the written offer to
provide the Corresponding Source. This alternative is allowed only occasionally and
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accord with subsection 6b.
* **d)** Convey the object code by offering access from a designated place (gratis or for
a charge), and offer equivalent access to the Corresponding Source in the same way
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the Corresponding Source along with the object code. If the place to copy the object
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* **e)** Convey the object code using peer-to-peer transmission, provided you inform
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means any tangible personal property which is normally used for personal, family, or
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“Installation Information” for a User Product means any methods,
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modified versions of a covered work in that User Product from a modified version of
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functioning of the modified object code is in no case prevented or interfered with
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If you convey an object code work under this section in, or with, or specifically for
use in, a User Product, and the conveying occurs as part of a transaction in which
the right of possession and use of the User Product is transferred to the recipient
in perpetuity or for a fixed term (regardless of how the transaction is
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neither you nor any third party retains the ability to install modified object code
on the User Product (for example, the work has been installed in ROM).
The requirement to provide Installation Information does not include a requirement to
continue to provide support service, warranty, or updates for a work that has been
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Corresponding Source conveyed, and Installation Information provided, in accord with
this section must be in a format that is publicly documented (and with an
implementation available to the public in source code form), and must require no
special password or key for unpacking, reading or copying.
### 7. Additional Terms
“Additional permissions” are terms that supplement the terms of this
License by making exceptions from one or more of its conditions. Additional
permissions that are applicable to the entire Program shall be treated as though they
were included in this License, to the extent that they are valid under applicable
law. If additional permissions apply only to part of the Program, that part may be
used separately under those permissions, but the entire Program remains governed by
this License without regard to the additional permissions.
When you convey a copy of a covered work, you may at your option remove any
additional permissions from that copy, or from any part of it. (Additional
permissions may be written to require their own removal in certain cases when you
modify the work.) You may place additional permissions on material, added by you to a
covered work, for which you have or can give appropriate copyright permission.
Notwithstanding any other provision of this License, for material you add to a
covered work, you may (if authorized by the copyright holders of that material)
supplement the terms of this License with terms:
* **a)** Disclaiming warranty or limiting liability differently from the terms of
sections 15 and 16 of this License; or
* **b)** Requiring preservation of specified reasonable legal notices or author
attributions in that material or in the Appropriate Legal Notices displayed by works
containing it; or
* **c)** Prohibiting misrepresentation of the origin of that material, or requiring that
modified versions of such material be marked in reasonable ways as different from the
original version; or
* **d)** Limiting the use for publicity purposes of names of licensors or authors of the
material; or
* **e)** Declining to grant rights under trademark law for use of some trade names,
trademarks, or service marks; or
* **f)** Requiring indemnification of licensors and authors of that material by anyone
who conveys the material (or modified versions of it) with contractual assumptions of
liability to the recipient, for any liability that these contractual assumptions
directly impose on those licensors and authors.
All other non-permissive additional terms are considered “further
restrictions” within the meaning of section 10. If the Program as you received
it, or any part of it, contains a notice stating that it is governed by this License
along with a term that is a further restriction, you may remove that term. If a
license document contains a further restriction but permits relicensing or conveying
under this License, you may add to a covered work material governed by the terms of
that license document, provided that the further restriction does not survive such
relicensing or conveying.
If you add terms to a covered work in accord with this section, you must place, in
the relevant source files, a statement of the additional terms that apply to those
files, or a notice indicating where to find the applicable terms.
Additional terms, permissive or non-permissive, may be stated in the form of a
separately written license, or stated as exceptions; the above requirements apply
either way.
### 8. Termination
You may not propagate or modify a covered work except as expressly provided under
this License. Any attempt otherwise to propagate or modify it is void, and will
automatically terminate your rights under this License (including any patent licenses
granted under the third paragraph of section 11).
However, if you cease all violation of this License, then your license from a
particular copyright holder is reinstated **(a)** provisionally, unless and until the
copyright holder explicitly and finally terminates your license, and **(b)** permanently,
if the copyright holder fails to notify you of the violation by some reasonable means
prior to 60 days after the cessation.
Moreover, your license from a particular copyright holder is reinstated permanently
if the copyright holder notifies you of the violation by some reasonable means, this
is the first time you have received notice of violation of this License (for any
work) from that copyright holder, and you cure the violation prior to 30 days after
your receipt of the notice.
Termination of your rights under this section does not terminate the licenses of
parties who have received copies or rights from you under this License. If your
rights have been terminated and not permanently reinstated, you do not qualify to
receive new licenses for the same material under section 10.
### 9. Acceptance Not Required for Having Copies
You are not required to accept this License in order to receive or run a copy of the
Program. Ancillary propagation of a covered work occurring solely as a consequence of
using peer-to-peer transmission to receive a copy likewise does not require
acceptance. However, nothing other than this License grants you permission to
propagate or modify any covered work. These actions infringe copyright if you do not
accept this License. Therefore, by modifying or propagating a covered work, you
indicate your acceptance of this License to do so.
### 10. Automatic Licensing of Downstream Recipients
Each time you convey a covered work, the recipient automatically receives a license
from the original licensors, to run, modify and propagate that work, subject to this
License. You are not responsible for enforcing compliance by third parties with this
License.
An “entity transaction” is a transaction transferring control of an
organization, or substantially all assets of one, or subdividing an organization, or
merging organizations. If propagation of a covered work results from an entity
transaction, each party to that transaction who receives a copy of the work also
receives whatever licenses to the work the party's predecessor in interest had or
could give under the previous paragraph, plus a right to possession of the
Corresponding Source of the work from the predecessor in interest, if the predecessor
has it or can get it with reasonable efforts.
You may not impose any further restrictions on the exercise of the rights granted or
affirmed under this License. For example, you may not impose a license fee, royalty,
or other charge for exercise of rights granted under this License, and you may not
initiate litigation (including a cross-claim or counterclaim in a lawsuit) alleging
that any patent claim is infringed by making, using, selling, offering for sale, or
importing the Program or any portion of it.
### 11. Patents
A “contributor” is a copyright holder who authorizes use under this
License of the Program or a work on which the Program is based. The work thus
licensed is called the contributor's “contributor version”.
A contributor's “essential patent claims” are all patent claims owned or
controlled by the contributor, whether already acquired or hereafter acquired, that
would be infringed by some manner, permitted by this License, of making, using, or
selling its contributor version, but do not include claims that would be infringed
only as a consequence of further modification of the contributor version. For
purposes of this definition, “control” includes the right to grant patent
sublicenses in a manner consistent with the requirements of this License.
Each contributor grants you a non-exclusive, worldwide, royalty-free patent license
under the contributor's essential patent claims, to make, use, sell, offer for sale,
import and otherwise run, modify and propagate the contents of its contributor
version.
In the following three paragraphs, a “patent license” is any express
agreement or commitment, however denominated, not to enforce a patent (such as an
express permission to practice a patent or covenant not to sue for patent
infringement). To “grant” such a patent license to a party means to make
such an agreement or commitment not to enforce a patent against the party.
If you convey a covered work, knowingly relying on a patent license, and the
Corresponding Source of the work is not available for anyone to copy, free of charge
and under the terms of this License, through a publicly available network server or
other readily accessible means, then you must either **(1)** cause the Corresponding
Source to be so available, or **(2)** arrange to deprive yourself of the benefit of the
patent license for this particular work, or **(3)** arrange, in a manner consistent with
the requirements of this License, to extend the patent license to downstream
recipients. “Knowingly relying” means you have actual knowledge that, but
for the patent license, your conveying the covered work in a country, or your
recipient's use of the covered work in a country, would infringe one or more
identifiable patents in that country that you have reason to believe are valid.
If, pursuant to or in connection with a single transaction or arrangement, you
convey, or propagate by procuring conveyance of, a covered work, and grant a patent
license to some of the parties receiving the covered work authorizing them to use,
propagate, modify or convey a specific copy of the covered work, then the patent
license you grant is automatically extended to all recipients of the covered work and
works based on it.
A patent license is “discriminatory” if it does not include within the
scope of its coverage, prohibits the exercise of, or is conditioned on the
non-exercise of one or more of the rights that are specifically granted under this
License. You may not convey a covered work if you are a party to an arrangement with
a third party that is in the business of distributing software, under which you make
payment to the third party based on the extent of your activity of conveying the
work, and under which the third party grants, to any of the parties who would receive
the covered work from you, a discriminatory patent license **(a)** in connection with
copies of the covered work conveyed by you (or copies made from those copies), or **(b)**
primarily for and in connection with specific products or compilations that contain
the covered work, unless you entered into that arrangement, or that patent license
was granted, prior to 28 March 2007.
Nothing in this License shall be construed as excluding or limiting any implied
license or other defenses to infringement that may otherwise be available to you
under applicable patent law.
### 12. No Surrender of Others' Freedom
If conditions are imposed on you (whether by court order, agreement or otherwise)
that contradict the conditions of this License, they do not excuse you from the
conditions of this License. If you cannot convey a covered work so as to satisfy
simultaneously your obligations under this License and any other pertinent
obligations, then as a consequence you may not convey it at all. For example, if you
agree to terms that obligate you to collect a royalty for further conveying from
those to whom you convey the Program, the only way you could satisfy both those terms
and this License would be to refrain entirely from conveying the Program.
### 13. Use with the GNU Affero General Public License
Notwithstanding any other provision of this License, you have permission to link or
combine any covered work with a work licensed under version 3 of the GNU Affero
General Public License into a single combined work, and to convey the resulting work.
The terms of this License will continue to apply to the part which is the covered
work, but the special requirements of the GNU Affero General Public License, section
13, concerning interaction through a network will apply to the combination as such.
### 14. Revised Versions of this License
The Free Software Foundation may publish revised and/or new versions of the GNU
General Public License from time to time. Such new versions will be similar in spirit
to the present version, but may differ in detail to address new problems or concerns.
Each version is given a distinguishing version number. If the Program specifies that
a certain numbered version of the GNU General Public License “or any later
version” applies to it, you have the option of following the terms and
conditions either of that numbered version or of any later version published by the
Free Software Foundation. If the Program does not specify a version number of the GNU
General Public License, you may choose any version ever published by the Free
Software Foundation.
If the Program specifies that a proxy can decide which future versions of the GNU
General Public License can be used, that proxy's public statement of acceptance of a
version permanently authorizes you to choose that version for the Program.
Later license versions may give you additional or different permissions. However, no
additional obligations are imposed on any author or copyright holder as a result of
your choosing to follow a later version.
### 15. Disclaimer of Warranty
THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW.
EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
PROVIDE THE PROGRAM “AS IS” WITHOUT WARRANTY OF ANY KIND, EITHER
EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS TO THE
QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE PROGRAM PROVE
DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
### 16. Limitation of Liability
IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING WILL ANY
COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS THE PROGRAM AS
PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY GENERAL, SPECIAL,
INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE USE OR INABILITY TO USE THE
PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE
OR LOSSES SUSTAINED BY YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE
WITH ANY OTHER PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
POSSIBILITY OF SUCH DAMAGES.
### 17. Interpretation of Sections 15 and 16
If the disclaimer of warranty and limitation of liability provided above cannot be
given local legal effect according to their terms, reviewing courts shall apply local
law that most closely approximates an absolute waiver of all civil liability in
connection with the Program, unless a warranty or assumption of liability accompanies
a copy of the Program in return for a fee.
_END OF TERMS AND CONDITIONS_
## How to Apply These Terms to Your New Programs
If you develop a new program, and you want it to be of the greatest possible use to
the public, the best way to achieve this is to make it free software which everyone
can redistribute and change under these terms.
To do so, attach the following notices to the program. It is safest to attach them
to the start of each source file to most effectively state the exclusion of warranty;
and each file should have at least the “copyright” line and a pointer to
where the full notice is found.
<one line to give the program's name and a brief idea of what it does.>
Copyright (C) <year> <name of author>
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
Also add information on how to contact you by electronic and paper mail.
If the program does terminal interaction, make it output a short notice like this
when it starts in an interactive mode:
<program> Copyright (C) <year> <name of author>
This program comes with ABSOLUTELY NO WARRANTY; for details type 'show w'.
This is free software, and you are welcome to redistribute it
under certain conditions; type 'show c' for details.
The hypothetical commands `show w` and `show c` should show the appropriate parts of
the General Public License. Of course, your program's commands might be different;
for a GUI interface, you would use an “about box”.
You should also get your employer (if you work as a programmer) or school, if any, to
sign a “copyright disclaimer” for the program, if necessary. For more
information on this, and how to apply and follow the GNU GPL, see
&lt;<http://www.gnu.org/licenses/>&gt;.
The GNU General Public License does not permit incorporating your program into
proprietary programs. If your program is a subroutine library, you may consider it
more useful to permit linking proprietary applications with the library. If this is
what you want to do, use the GNU Lesser General Public License instead of this
License. But first, please read
&lt;<http://www.gnu.org/philosophy/why-not-lgpl.html>&gt;.

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from typing import Tuple, List, Dict, Set, Optional, Union, Sequence
from collections import defaultdict
from pprint import pformat
import logging
import numpy
from numpy.typing import NDArray, ArrayLike
import pyclipper
from pyclipper import (
Pyclipper, PT_CLIP, PT_SUBJECT, CT_UNION, CT_INTERSECTION, PFT_NONZERO, PFT_EVENODD,
scale_to_clipper, scale_from_clipper, PyPolyNode,
)
from masque.file import oasis, gdsii
from masque import Pattern
from masque.shapes import Polygon
from .poly import poly_contains_points
logger = logging.getLogger(__name__)
layer_t = Tuple[int, int]
contour_t = List[Tuple[int, int]]
net_name_t = Union[str, object]
CLIPPER_SCALE_FACTOR = 2**24
def union_nonzero(shapes: Sequence[ArrayLike]) -> Optional[PyPolyNode]:
if not shapes:
return None
pc = Pyclipper()
pc.AddPaths(shapes, PT_CLIP, closed=True)
result = pc.Execute2(CT_UNION, PFT_NONZERO, PFT_NONZERO)
return result
def union_evenodd(shapes: Sequence[ArrayLike]) -> List[contour_t]:
if not shapes:
return []
pc = Pyclipper()
pc.AddPaths(shapes, PT_CLIP, closed=True)
return pc.Execute(CT_UNION, PFT_EVENODD, PFT_EVENODD)
def intersection_evenodd(
subject_shapes: Sequence[ArrayLike],
clip_shapes: Sequence[ArrayLike],
clip_closed: bool = True,
) -> List[contour_t]:
if not subject_shapes or not clip_shapes:
return []
pc = Pyclipper()
pc.AddPaths(subject_shapes, PT_SUBJECT, closed=True)
pc.AddPaths(clip_shapes, PT_CLIP, closed=clip_closed)
return pc.Execute(CT_INTERSECTION, PFT_EVENODD, PFT_EVENODD)
class NetsInfo:
nets: defaultdict[str, defaultdict[layer_t, List]]
net_aliases: defaultdict[str, List]
def __init__(self) -> None:
self.nets = defaultdict(lambda: defaultdict(list))
self.net_aliases = defaultdict(list)
def resolve_name(self, net_name: net_name_t) -> net_name_t:
while net_name in self.net_aliases:
net_name = self.net_aliases[net_name]
return net_name
def merge(self, net_a: net_name_t, net_b: net_name_t) -> None:
net_a = self.resolve_name(net_a)
net_b = self.resolve_name(net_b)
# Always keep named nets if the other is anonymous
if not isinstance(net_a, str) and isinstance(net_b, str):
keep_net, old_net = net_b, net_a
else:
keep_net, old_net = net_a, net_b
#logger.info(f'merging {old_net} into {keep_net}')
self.net_aliases[old_net] = keep_net
if old_net in self.nets:
for layer in self.nets[old_net]:
self.nets[keep_net][layer] += self.nets[old_net][layer]
del self.nets[old_net]
def get(self, net: net_name_t, layer: layer_t) -> List[contour_t]:
return self.nets[self.resolve_name(net)][layer]
def get_shorted_nets(self) -> List[Set[str]]:
shorts = defaultdict(list)
for kk in self.net_aliases:
if isinstance(kk, str):
shorts[self.resolve_name(kk)].append(kk)
shorted_sets = [set([kk] + others)
for kk, others in shorts.items()]
return shorted_sets
def load_polys(layers: Sequence[Tuple[int, int]]) -> Dict[layer_t, List[NDArray[numpy.float64]]]:
polys = defaultdict(list)
for ss in topcell.shapes:
if ss.layer not in layers:
continue
if ss.repetition is None:
displacements = [(0, 0)]
else:
displacements = ss.repetition.displacements
for displacement in displacements:
polys[ss.layer].append(
ss.vertices + ss.offset + displacement
)
return dict(polys)
def union_polys(polys: list[ArrayLike]) -> List[PyPolyNode]:
scaled_polys = scale_to_clipper(polys, CLIPPER_SCALE_FACTOR)
for poly in scaled_polys:
if (numpy.abs(poly) % 1).any():
logger.warning('Warning: union_polys got non-integer coordinates; all values will be truncated.')
break
poly_tree = union_nonzero(scaled_polys)
# Partially flatten the tree, reclassifying all the "outer" (non-hole) nodes as new root nodes
unvisited_nodes = [poly_tree]
outer_nodes = []
while unvisited_nodes:
node = unvisited_nodes.pop() # node will be the tree parent node (a container), or a hole
for poly in node.Childs:
outer_nodes.append(poly)
for hole in poly.Childs:
unvisited_nodes.append(hole)
return outer_nodes
cells, props = oasis.readfile('connectivity.oas')
#cells, props = gdsii.readfile('connectivity.gds')
topcell = cells['top']
layer_info = {
((1, 0), (1, 2), (2, 0)), #M1 to M2
((1, 0), (1, 3), (3, 0)), #M1 to M3
((2, 0), (2, 3), (3, 0)), #M2 to M3
}
metal_layers = set()
via_layers = set()
for top, via, bot in layer_info:
metal_layers.add(top)
metal_layers.add(bot)
via_layers.add(via)
topcell = topcell.subset(
shapes_func=lambda ss: ss.layer in metal_layers | via_layers,
labels_func=lambda ll: ll.layer in metal_layers,
subpatterns_func=lambda ss: True,
)
topcell = topcell.flatten()
base_metal_polys = load_polys(metal_layers)
metal_polys = {layer: union_polys(base_metal_polys[layer])
for layer in metal_layers}
base_via_polys = load_polys(via_layers)
via_polys = {layer: union_polys(base_via_polys[layer])
for layer in via_layers}
## write out polys to gds
#pat = Pattern('metal_polys')
#for layer in metal_polys:
# for poly in metal_polys[layer]:
# pat.shapes.append(Polygon(layer=layer, vertices=scale_from_clipper(poly.Contour, CLIPPER_SCALE_FACTOR)))
# for hole in poly.Childs:
# pat.shapes.append(Polygon(layer=(layer[0], layer[1] + 10), vertices=scale_from_clipper(hole.Contour, CLIPPER_SCALE_FACTOR)))
#for layer in via_polys:
# for poly in via_polys[layer]:
# pat.shapes.append(Polygon(layer=layer, vertices=scale_from_clipper(poly.Contour, CLIPPER_SCALE_FACTOR)))
# for hole in poly.Childs:
# pat.shapes.append(Polygon(layer=(layer[0], layer[1] + 10), vertices=scale_from_clipper(hole.Contour, CLIPPER_SCALE_FACTOR)))
#gdsii.writefile(pat, '_polys.gds', 1e-9, 1e-6)
net_info = NetsInfo()
def label_nets(
net_info: NetsInfo,
polys: Sequence[PyPolyNode],
point_xys: ArrayLike,
point_names: Sequence[str],
):
for poly in polys:
poly_contour = scale_from_clipper(poly.Contour, CLIPPER_SCALE_FACTOR)
inside = poly_contains_points(poly_contour, point_xys)
for hole in poly.Childs:
hole_contour = scale_from_clipper(hole.Contour, CLIPPER_SCALE_FACTOR)
inside &= ~poly_contains_points(hole_contour, point_xys)
inside_nets = sorted([net_name for net_name, ii in zip(point_names, inside) if ii])
if not inside.any():
# No labels in this net, so it's anonymous
name = object()
net_info.nets[name][layer].append(poly)
continue
net_info.get(inside_nets[0], layer).append(poly)
if inside.sum() == 1:
# No short on this layer, continue
continue
logger.warning(f'Nets {inside_nets} are shorted on layer {layer} in poly:\n {pformat(poly)}')
first_net, *defunct_nets = inside_nets
for defunct_net in defunct_nets:
net_info.merge(first_net, defunct_net)
contours = []
def tree2oriented(polys: Sequence[PyPolyNode]) -> List[ArrayLike]:
contours = []
for poly in polys:
contours.append(poly.Contour)
contours += [hole.Contour for hole in poly.Childs]
return union_evenodd(contours)
for layer in metal_layers:
labels = sorted([ll for ll in topcell.labels if ll.layer == layer], key=lambda ll: ll.string)
point_xys = [ll.offset for ll in labels]
point_names = [ll.string for ll in labels]
label_nets(net_info, metal_polys[layer], point_xys, point_names)
#
# Take EVENODD union within each net
# & stay in EVENODD-friendly representation
#
for net in net_info.nets.values():
for layer in net:
net[layer] = tree2oriented(net[layer])
for layer in via_polys:
via_polys[layer] = tree2oriented(via_polys[layer])
## write out nets to gds
#pat = Pattern('nets')
#for name, net in net_info.nets.items():
# sub = Pattern(str(name))
# for layer in net:
# print('aaaaaa', layer)
# for poly in net[layer]:
# sub.shapes.append(Polygon(layer=layer, vertices=scale_from_clipper(poly, CLIPPER_SCALE_FACTOR)))
# pat.addsp(sub)
#gdsii.writefile(pat, '_nets.gds', 1e-9, 1e-6)
#
# Merge nets based on via connectivity
#
merge_pairs = set()
for top_layer, via_layer, bot_layer in layer_info:
vias = via_polys[via_layer]
if not vias:
continue
#TODO deal with polygons that have holes (loops?)
for top_name in net_info.nets.keys():
top_polys = net_info.nets[top_name][top_layer]
if not top_polys:
continue
for bot_name in net_info.nets.keys():
if bot_name == top_name:
continue
name_pair = tuple(sorted((top_name, bot_name), key=lambda s: id(s)))
if name_pair in merge_pairs:
continue
bot_polys = net_info.nets[bot_name][bot_layer]
if not bot_polys:
continue
via_top = intersection_evenodd(top_polys, vias)
overlap = intersection_evenodd(via_top, bot_polys)
if not overlap:
continue
if isinstance(bot_name, str) and isinstance(top_name, str):
logger.warning(f'Nets {top_name} and {bot_name} are shorted with via layer {via_layer} at:\n {pformat(scale_from_clipper(overlap[0], CLIPPER_SCALE_FACTOR))}')
merge_pairs.add(name_pair)
for net_a, net_b in merge_pairs:
net_info.merge(net_a, net_b)
print('merged pairs')
print(pformat(merge_pairs))
print('\nFinal nets:')
print([kk for kk in net_info.nets if isinstance(kk, str)])
print('\nNet sets:')
for short in net_info.get_shorted_nets():
print('(' + ','.join(sorted(list(short))) + ')')

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from masque.file import gdsii, oasis
import snarl
import snarl.interfaces.masque
connectivity = {
((1, 0), (1, 2), (2, 0)), #M1 to M2 (via V12)
((1, 0), (1, 3), (3, 0)), #M1 to M3 (via V13)
((2, 0), (2, 3), (3, 0)), #M2 to M3 (via V23)
}
#cells, props = gdsii.readfile('connectivity.gds')
cells, props = oasis.readfile('connectivity.oas')
topcell = cells['top']
polys, labels = snarl.interfaces.masque.read_topcell(topcell, connectivity)
nets_info = snarl.check_connectivity(polys, labels, connectivity)

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from .main import check_connectivity
from . import interfaces

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from typing import Sequence, Optional, List
from numpy.typing import ArrayLike
from pyclipper import (
Pyclipper, PT_CLIP, PT_SUBJECT, CT_UNION, CT_INTERSECTION, PFT_NONZERO, PFT_EVENODD,
PyPolyNode,
)
from .types import contour_t
def union_nonzero(shapes: Sequence[ArrayLike]) -> Optional[PyPolyNode]:
if not shapes:
return None
pc = Pyclipper()
pc.AddPaths(shapes, PT_CLIP, closed=True)
result = pc.Execute2(CT_UNION, PFT_NONZERO, PFT_NONZERO)
return result
def union_evenodd(shapes: Sequence[ArrayLike]) -> List[contour_t]:
if not shapes:
return []
pc = Pyclipper()
pc.AddPaths(shapes, PT_CLIP, closed=True)
return pc.Execute(CT_UNION, PFT_EVENODD, PFT_EVENODD)
def intersection_evenodd(
subject_shapes: Sequence[ArrayLike],
clip_shapes: Sequence[ArrayLike],
) -> List[contour_t]:
if not subject_shapes or not clip_shapes:
return []
pc = Pyclipper()
pc.AddPaths(subject_shapes, PT_SUBJECT, closed=True)
pc.AddPaths(clip_shapes, PT_CLIP, closed=True)
return pc.Execute(CT_INTERSECTION, PFT_EVENODD, PFT_EVENODD)
def hier2oriented(polys: Sequence[PyPolyNode]) -> List[ArrayLike]:
contours = []
for poly in polys:
contours.append(poly.Contour)
contours += [hole.Contour for hole in poly.Childs]
return contours

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snarl/interfaces/__init__.py Normal file
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from typing import Sequence, Dict, List, Any, Tuple, Optional, Mapping
from collections import defaultdict
import numpy
from numpy.typing import NDArray
from masque import Pattern
from masque.file import oasis, gdsii
from masque.shapes import Polygon
from ..types import layer_t
from ..utils import connectivity2layers
def read_topcell(
topcell: Pattern,
connectivity: Sequence[Tuple[layer_t, Optional[layer_t], layer_t]],
label_mapping: Optional[Mapping[layer_t, layer_t]] = None,
) -> Tuple[
defaultdict[layer_t, List[NDArray[numpy.float64]]],
defaultdict[layer_t, List[Tuple[float, float, str]]]]:
metal_layers, via_layers = connectivity2layers(connectivity)
poly_layers = metal_layers | via_layers
if label_mapping is None:
label_mapping = {layer: layer for layer in metal_layers}
label_layers = {label_layer for label_layer in label_mapping.keys()}
topcell = topcell.deepcopy().subset(
shapes_func=lambda ss: ss.layer in poly_layers,
labels_func=lambda ll: ll.layer in label_layers,
subpatterns_func=lambda ss: True,
)
topcell = topcell.flatten()
polys = load_polys(topcell, list(poly_layers))
metal_labels = defaultdict(list)
for label_layer, metal_layer in label_mapping.items():
labels = [ll for ll in topcell.labels if ll.layer == label_layer]
metal_labels[metal_layer] += [(*ll.offset, ll.string) for ll in labels]
return polys, metal_labels
def load_polys(
topcell: Pattern,
layers: Sequence[layer_t],
) -> defaultdict[layer_t, List[NDArray[numpy.float64]]]:
polys = defaultdict(list)
for ss in topcell.shapes:
if ss.layer not in layers:
continue
assert(isinstance(ss, Polygon))
if ss.repetition is None:
displacements = [(0, 0)]
else:
displacements = ss.repetition.displacements
for displacement in displacements:
polys[ss.layer].append(
ss.vertices + ss.offset + displacement
)
return polys

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from typing import Tuple, List, Dict, Set, Optional, Union, Sequence, Mapping
from collections import defaultdict
from pprint import pformat
import logging
import numpy
from numpy.typing import NDArray, ArrayLike
from pyclipper import scale_to_clipper, scale_from_clipper, PyPolyNode
from .types import connectivity_t, layer_t, contour_t, net_name_t
from .poly import poly_contains_points
from .clipper import union_nonzero, union_evenodd, intersection_evenodd, hier2oriented
from .tracker import NetsInfo
from .utils import connectivity2layers
logger = logging.getLogger(__name__)
def check_connectivity(
polys: Mapping[layer_t, Sequence[ArrayLike]],
labels: Mapping[layer_t, Sequence[Tuple[float, float, str]]],
connectivity: Sequence[Tuple[layer_t, Optional[layer_t], layer_t]],
label_mapping: Optional[Mapping[layer_t, layer_t]] = None,
clipper_scale_factor: int = int(2 ** 24),
) -> NetsInfo:
metal_layers, via_layers = connectivity2layers(connectivity)
if label_mapping is None:
label_mapping = {layer: layer for layer in metal_layers}
metal_polys = {layer: union_input_polys(scale_to_clipper(polys[layer], clipper_scale_factor))
for layer in metal_layers}
via_polys = {layer: union_input_polys(scale_to_clipper(polys[layer], clipper_scale_factor))
for layer in via_layers}
nets_info = NetsInfo()
merge_groups: List[List[net_name_t]] = []
for layer, labels_for_layer in labels.items():
point_xys = []
point_names = []
for x, y, point_name in labels_for_layer:
point_xys.append((x, y))
point_names.append(point_name)
for poly in metal_polys[layer]:
found_nets = label_poly(poly, point_xys, point_names, clipper_scale_factor)
name: net_name_t
if found_nets:
name = found_nets[0]
else:
name = object() # Anonymous net
nets_info.get(name, layer).append(poly)
if len(found_nets) > 1:
# Found a short
logger.warning(f'Nets {found_nets} are shorted on layer {layer} in poly:\n {pformat(poly)}')
merge_groups.append(found_nets) # type: ignore
for group in merge_groups:
first_net, *defunct_nets = group
for defunct_net in defunct_nets:
nets_info.merge(first_net, defunct_net)
#
# Take EVENODD union within each net
# & stay in EVENODD-friendly representation
#
for net in nets_info.nets.values():
for layer in net:
#net[layer] = union_evenodd(hier2oriented(net[layer]))
net[layer] = hier2oriented(net[layer])
for layer in via_polys:
via_polys[layer] = hier2oriented(via_polys[layer])
merge_pairs = find_merge_pairs(connectivity, nets_info.nets, via_polys)
for net_a, net_b in merge_pairs:
nets_info.merge(net_a, net_b)
print('merged pairs')
print(pformat(merge_pairs))
print('\nFinal nets:')
print([kk for kk in nets_info.nets if isinstance(kk, str)])
print('\nNet sets:')
for short in nets_info.get_shorted_nets():
print('(' + ','.join(sorted(list(short))) + ')')
return nets_info
def union_input_polys(polys: List[ArrayLike]) -> List[PyPolyNode]:
for poly in polys:
if (numpy.abs(poly) % 1).any():
logger.warning('Warning: union_polys got non-integer coordinates; all values will be truncated.')
break
poly_tree = union_nonzero(polys)
if poly_tree is None:
return []
# Partially flatten the tree, reclassifying all the "outer" (non-hole) nodes as new root nodes
unvisited_nodes = [poly_tree]
outer_nodes = []
while unvisited_nodes:
node = unvisited_nodes.pop() # node will be the tree parent node (a container), or a hole
for poly in node.Childs:
outer_nodes.append(poly)
for hole in poly.Childs: # type: ignore
unvisited_nodes.append(hole)
return outer_nodes
def label_poly(
poly: PyPolyNode,
point_xys: ArrayLike,
point_names: Sequence[str],
clipper_scale_factor: int = int(2 ** 24),
) -> List[str]:
poly_contour = scale_from_clipper(poly.Contour, clipper_scale_factor)
inside = poly_contains_points(poly_contour, point_xys)
for hole in poly.Childs:
hole_contour = scale_from_clipper(hole.Contour, clipper_scale_factor)
inside &= ~poly_contains_points(hole_contour, point_xys)
inside_nets = sorted([net_name for net_name, ii in zip(point_names, inside) if ii])
if inside.any():
return inside_nets
else:
return []
def find_merge_pairs(
connectivity: connectivity_t,
nets: Mapping[net_name_t, Mapping[layer_t, Sequence[contour_t]]],
via_polys: Mapping[layer_t, Sequence[contour_t]],
) -> Set[Tuple[net_name_t, net_name_t]]:
#
# Merge nets based on via connectivity
#
merge_pairs = set()
for top_layer, via_layer, bot_layer in connectivity:
if via_layer is not None:
vias = via_polys[via_layer]
if not vias:
continue
#TODO deal with polygons that have holes (loops?)
for top_name in nets.keys():
top_polys = nets[top_name][top_layer]
if not top_polys:
continue
for bot_name in nets.keys():
if bot_name == top_name:
continue
name_pair = tuple(sorted((top_name, bot_name), key=lambda s: id(s)))
if name_pair in merge_pairs:
continue
bot_polys = nets[bot_name][bot_layer]
if not bot_polys:
continue
if via_layer is not None:
via_top = intersection_evenodd(top_polys, vias)
overlap = intersection_evenodd(via_top, bot_polys)
else:
overlap = intersection_evenodd(top_polys, bot_polys) # TODO verify there aren't any suspicious corner cases for this
if not overlap:
continue
merge_pairs.add(name_pair)
return merge_pairs

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import numpy
from numpy.typing import NDArray, ArrayLike
def poly_contains_points(
vertices: ArrayLike,
points: ArrayLike,
include_boundary: bool = True,
) -> NDArray[numpy.int_]:
"""
Tests whether the provided points are inside the implicitly closed polygon
described by the provided list of vertices.
Args:
vertices: Nx2 Arraylike of form [[x0, y0], [x1, y1], ...], describing an implicitly-
closed polygon. Note that this should include any offsets.
points: Nx2 ArrayLike of form [[x0, y0], [x1, y1], ...] containing the points to test.
include_boundary: True if points on the boundary should be count as inside the shape.
Default True.
Returns:
ndarray of booleans, [point0_is_in_shape, point1_is_in_shape, ...]
"""
points = numpy.array(points, copy=False)
vertices = numpy.array(vertices, copy=False)
if points.size == 0:
return numpy.zeros(0)
min_bounds = numpy.min(vertices, axis=0)[None, :]
max_bounds = numpy.max(vertices, axis=0)[None, :]
trivially_outside = ((points < min_bounds).any(axis=1)
| (points > max_bounds).any(axis=1))
nontrivial = ~trivially_outside
if trivially_outside.all():
inside = numpy.zeros_like(trivially_outside, dtype=bool)
return inside
ntpts = points[None, nontrivial, :] # nontrivial points, along axis 1 of ndarray
verts = vertices[:, None, :] # vertices, along axis 0
xydiff = ntpts - verts # Expands into (n_vertices, n_ntpts, 2)
y0_le = xydiff[:, :, 1] >= 0 # y_point >= y_vertex (axes 0, 1 for all points & vertices)
y1_le = numpy.roll(y0_le, -1, axis=0) # same thing for next vertex
upward = y0_le & ~y1_le # edge passes point y coord going upwards
downward = ~y0_le & y1_le # edge passes point y coord going downwards
dv = numpy.roll(verts, -1, axis=0) - verts
is_left = (dv[..., 0] * xydiff[..., 1] # >0 if left of dv, <0 if right, 0 if on the line
- dv[..., 1] * xydiff[..., 0])
winding_number = ((upward & (is_left > 0)).sum(axis=0)
- (downward & (is_left < 0)).sum(axis=0))
nontrivial_inside = winding_number != 0 # filter nontrivial points based on winding number
if include_boundary:
nontrivial_inside[(is_left == 0).any(axis=0)] = True # check if point lies on any edge
inside = nontrivial.copy()
inside[nontrivial] = nontrivial_inside
return inside

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from typing import List, Set
from collections import defaultdict
from .types import layer_t, net_name_t, contour_t
class NetsInfo:
nets: defaultdict[net_name_t, defaultdict[layer_t, List]]
net_aliases: defaultdict[net_name_t, net_name_t]
def __init__(self) -> None:
self.nets = defaultdict(lambda: defaultdict(list))
self.net_aliases = defaultdict(list)
def resolve_name(self, net_name: net_name_t) -> net_name_t:
while net_name in self.net_aliases:
net_name = self.net_aliases[net_name]
return net_name
def merge(self, net_a: net_name_t, net_b: net_name_t) -> None:
net_a = self.resolve_name(net_a)
net_b = self.resolve_name(net_b)
# Always keep named nets if the other is anonymous
if not isinstance(net_a, str) and isinstance(net_b, str):
keep_net, old_net = net_b, net_a
else:
keep_net, old_net = net_a, net_b
#logger.info(f'merging {old_net} into {keep_net}')
self.net_aliases[old_net] = keep_net
if old_net in self.nets:
for layer in self.nets[old_net]:
self.nets[keep_net][layer] += self.nets[old_net][layer]
del self.nets[old_net]
def get(self, net: net_name_t, layer: layer_t) -> List[contour_t]:
return self.nets[self.resolve_name(net)][layer]
def get_shorted_nets(self) -> List[Set[str]]:
shorts = defaultdict(list)
for kk in self.net_aliases:
if isinstance(kk, str):
base_name = self.resolve_name(kk)
assert(isinstance(base_name, str))
shorts[base_name].append(kk)
shorted_sets = [set([kk] + others)
for kk, others in shorts.items()]
return shorted_sets

6
snarl/types.py Normal file
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from typing import Union, Tuple, List, Sequence, Optional
layer_t = Tuple[int, int]
contour_t = List[Tuple[int, int]]
net_name_t = Union[str, object]
connectivity_t = Sequence[Tuple[layer_t, Optional[layer_t], layer_t]]

19
snarl/utils.py Normal file
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from typing import Set, Tuple
from .types import connectivity_t, layer_t
def connectivity2layers(
connectivity: connectivity_t,
) -> Tuple[Set[layer_t], Set[layer_t]]:
metal_layers = set()
via_layers = set()
for top, via, bot in connectivity:
metal_layers.add(top)
metal_layers.add(bot)
if via is not None:
via_layers.add(via)
# TODO verify no overlap between metal and via layer specifications
return metal_layers, via_layers