Metadata-Version: 2.4
Name: clifra
Version: 1.1.0
Summary: A PyTorch framework for Clifford geometric algebra deep learning
Author-email: Eunkyum Kim <nemonanconcode@gmail.com>
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                             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
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            <one line to give the program's name and a brief idea of what it does.>
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            This program is distributed in the hope that it will be useful,
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        Also add information on how to contact you by electronic and paper mail.
        
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            <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
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        The hypothetical commands `show w' and `show c' should show the appropriate
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          You should also get your employer (if you work as a programmer) or school,
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        For more information on this, and how to apply and follow the GNU GPL, see
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          The GNU General Public License does not permit incorporating your program
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        may consider it more useful to permit linking proprietary applications with
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        Public License instead of this License.  But first, please read
        <https://www.gnu.org/licenses/why-not-lgpl.html>.
        
        Name: libquadmath
        Files: numpy/.dylibs/libquadmath*.so
        Description: dynamically linked to files compiled with gcc
        Availability: https://gcc.gnu.org/git/?p=gcc.git;a=tree;f=libquadmath
        License: LGPL-2.1-or-later
        
            GCC Quad-Precision Math Library
            Copyright (C) 2010-2019 Free Software Foundation, Inc.
            Written by Francois-Xavier Coudert  <fxcoudert@gcc.gnu.org>
        
            This file is part of the libquadmath library.
            Libquadmath is free software; you can redistribute it and/or
            modify it under the terms of the GNU Library General Public
            License as published by the Free Software Foundation; either
            version 2.1 of the License, or (at your option) any later version.
        
            Libquadmath 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
            Lesser General Public License for more details.
            https://www.gnu.org/licenses/old-licenses/lgpl-2.1.html
        
        -------------------------------------------------------------------------------
        NumPy (numpy/_core/include/numpy/libdivide/LICENSE.txt)
        Source: numpy-2.4.6.dist-info/licenses/numpy/_core/include/numpy/libdivide/LICENSE.txt
        -------------------------------------------------------------------------------
        
          zlib License
          ------------
        
          Copyright (C) 2010 - 2019 ridiculous_fish, <libdivide@ridiculousfish.com>
          Copyright (C) 2016 - 2019 Kim Walisch, <kim.walisch@gmail.com>
        
          This software is provided 'as-is', without any express or implied
          warranty.  In no event will the authors be held liable for any damages
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        * DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY
        * DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
        * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
        * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
        * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
        * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
        * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
        
        -------------------------------------------------------------------------------
        NumPy (numpy/random/LICENSE.md)
        Source: numpy-2.4.6.dist-info/licenses/numpy/random/LICENSE.md
        -------------------------------------------------------------------------------
        
        **This software is dual-licensed under the The University of Illinois/NCSA
        Open Source License (NCSA) and The 3-Clause BSD License**
        
        # NCSA Open Source License
        **Copyright (c) 2019 Kevin Sheppard. All rights reserved.**
        
        Developed by: Kevin Sheppard (<kevin.sheppard@economics.ox.ac.uk>,
        <kevin.k.sheppard@gmail.com>)
        [http://www.kevinsheppard.com](http://www.kevinsheppard.com)
        
        Permission is hereby granted, free of charge, to any person obtaining a copy of
        this software and associated documentation files (the "Software"), to deal with
        the Software without restriction, including without limitation the rights to
        use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies
        of the Software, and to permit persons to whom the Software is furnished to do
        so, subject to the following conditions:
        
        Redistributions of source code must retain the above copyright notice, this
        list of conditions and the following disclaimers.
        
        Redistributions in binary form must reproduce the above copyright notice, this
        list of conditions and the following disclaimers in the documentation and/or
        other materials provided with the distribution.
        
        Neither the names of Kevin Sheppard, nor the names of any contributors may be
        used to endorse or promote products derived from this Software without specific
        prior written permission.
        
        **THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
        IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
        FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
        CONTRIBUTORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
        LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
        OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH
        THE SOFTWARE.**
        
        
        # 3-Clause BSD License
        **Copyright (c) 2019 Kevin Sheppard. All rights reserved.**
        
        Redistribution and use in source and binary forms, with or without
        modification, are permitted provided that the following conditions are met:
        
        1. Redistributions of source code must retain the above copyright notice,
           this list of conditions and the following disclaimer.
        
        2. Redistributions in binary form must reproduce the above copyright notice,
           this list of conditions and the following disclaimer in the documentation
           and/or other materials provided with the distribution.
        
        3. Neither the name of the copyright holder nor the names of its contributors
           may be used to endorse or promote products derived from this software
           without specific prior written permission.
        
        **THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
        AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
        IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
        ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
        LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
        CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
        SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
        INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
        CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
        ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
        THE POSSIBILITY OF SUCH DAMAGE.**
        
        # Components
        
        Many parts of this module have been derived from original sources, 
        often the algorithm's designer. Component licenses are located with 
        the component code.
        
        -------------------------------------------------------------------------------
        NumPy (numpy/random/src/distributions/LICENSE.md)
        Source: numpy-2.4.6.dist-info/licenses/numpy/random/src/distributions/LICENSE.md
        -------------------------------------------------------------------------------
        
        ## NumPy
        
        Copyright (c) 2005-2017, NumPy Developers.
        All rights reserved.
        
        Redistribution and use in source and binary forms, with or without
        modification, are permitted provided that the following conditions are
        met:
        
        * Redistributions of source code must retain the above copyright
           notice, this list of conditions and the following disclaimer.
        
        * Redistributions in binary form must reproduce the above
           copyright notice, this list of conditions and the following
           disclaimer in the documentation and/or other materials provided
           with the distribution.
        
        * Neither the name of the NumPy Developers nor the names of any
           contributors may be used to endorse or promote products derived
           from this software without specific prior written permission.
        
        THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
        "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
        LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
        A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
        OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
        SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
        LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
        DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
        THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
        (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
        OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
        
        
        ## Julia
        
        The ziggurat methods were derived from Julia.
        
        Copyright (c) 2009-2019: Jeff Bezanson, Stefan Karpinski, Viral B. Shah,
        and other contributors:
        
        https://github.com/JuliaLang/julia/contributors
        
        Permission is hereby granted, free of charge, to any person obtaining
        a copy of this software and associated documentation files (the
        "Software"), to deal in the Software without restriction, including
        without limitation the rights to use, copy, modify, merge, publish,
        distribute, sublicense, and/or sell copies of the Software, and to
        permit persons to whom the Software is furnished to do so, subject to
        the following conditions:
        
        The above copyright notice and this permission notice shall be
        included in all copies or substantial portions of the Software.
        
        THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
        EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
        MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
        NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
        LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
        OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
        WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
        
        -------------------------------------------------------------------------------
        NumPy (numpy/random/src/mt19937/LICENSE.md)
        Source: numpy-2.4.6.dist-info/licenses/numpy/random/src/mt19937/LICENSE.md
        -------------------------------------------------------------------------------
        
        # MT19937
        
        Copyright (c) 2003-2005, Jean-Sebastien Roy (js@jeannot.org)
        
        The rk_random and rk_seed functions algorithms and the original design of
        the Mersenne Twister RNG:
        
          Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura,
          All rights reserved.
        
          Redistribution and use in source and binary forms, with or without
          modification, are permitted provided that the following conditions
          are met:
        
          1. Redistributions of source code must retain the above copyright
          notice, this list of conditions and the following disclaimer.
        
          2. Redistributions in binary form must reproduce the above copyright
          notice, this list of conditions and the following disclaimer in the
          documentation and/or other materials provided with the distribution.
        
          3. The names of its contributors may not be used to endorse or promote
          products derived from this software without specific prior written
          permission.
        
        THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
        "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
        LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
        A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE COPYRIGHT OWNER
        OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
        EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
        PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
        PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
        LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
        NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
        SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
        
        Original algorithm for the implementation of rk_interval function from
        Richard J. Wagner's implementation of the Mersenne Twister RNG, optimised by
        Magnus Jonsson.
        
        Constants used in the rk_double implementation by Isaku Wada.
        
        Permission is hereby granted, free of charge, to any person obtaining a
        copy of this software and associated documentation files (the
        "Software"), to deal in the Software without restriction, including
        without limitation the rights to use, copy, modify, merge, publish,
        distribute, sublicense, and/or sell copies of the Software, and to
        permit persons to whom the Software is furnished to do so, subject to
        the following conditions:
        
        The above copyright notice and this permission notice shall be included
        in all copies or substantial portions of the Software.
        
        THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
        OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
        MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
        IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
        CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
        TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
        SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
        
        -------------------------------------------------------------------------------
        NumPy (numpy/random/src/pcg64/LICENSE.md)
        Source: numpy-2.4.6.dist-info/licenses/numpy/random/src/pcg64/LICENSE.md
        -------------------------------------------------------------------------------
        
        # PCG64
        
        ## The MIT License
        
        PCG Random Number Generation for C.
        
        Copyright 2014 Melissa O'Neill <oneill@pcg-random.org>
        
        Permission is hereby granted, free of charge, to any person obtaining 
        a copy of this software and associated documentation files (the "Software"), 
        to deal in the Software without restriction, including without limitation 
        the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:
        
        The above copyright notice and this permission notice shall be included in 
        all copies or substantial portions of the Software.
        
        THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 
        IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS 
        FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR 
        COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER 
        IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN 
        CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
        
        -------------------------------------------------------------------------------
        NumPy (numpy/random/src/philox/LICENSE.md)
        Source: numpy-2.4.6.dist-info/licenses/numpy/random/src/philox/LICENSE.md
        -------------------------------------------------------------------------------
        
        # PHILOX
        
        Copyright 2010-2012, D. E. Shaw Research.
        All rights reserved.
        
        Redistribution and use in source and binary forms, with or without
        modification, are permitted provided that the following conditions are
        met:
        
        * Redistributions of source code must retain the above copyright
          notice, this list of conditions, and the following disclaimer.
        
        * Redistributions in binary form must reproduce the above copyright
          notice, this list of conditions, and the following disclaimer in the
          documentation and/or other materials provided with the distribution.
        
        * Neither the name of D. E. Shaw Research nor the names of its
          contributors may be used to endorse or promote products derived from
          this software without specific prior written permission.
        
        THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
        "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
        LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
        A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
        OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
        SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
        LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
        DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
        THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
        (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
        OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
        
        -------------------------------------------------------------------------------
        NumPy (numpy/random/src/sfc64/LICENSE.md)
        Source: numpy-2.4.6.dist-info/licenses/numpy/random/src/sfc64/LICENSE.md
        -------------------------------------------------------------------------------
        
        # SFC64
        
        ## The MIT License
        
        Adapted from a C++ implementation of Chris Doty-Humphrey's SFC PRNG.
        
        https://gist.github.com/imneme/f1f7821f07cf76504a97f6537c818083
        
        Copyright (c) 2018 Melissa E. O'Neill
        
        Permission is hereby granted, free of charge, to any person obtaining a
        copy of this software and associated documentation files (the "Software"),
        to deal in the Software without restriction, including without limitation
        the rights to use, copy, modify, merge, publish, distribute, sublicense,
        and/or sell copies of the Software, and to permit persons to whom the
        Software is furnished to do so, subject to the following conditions:
        
        The above copyright notice and this permission notice shall be included in
        all copies or substantial portions of the Software.
        
        THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
        IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
        FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
        AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
        LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
        FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
        DEALINGS IN THE SOFTWARE.
        
        -------------------------------------------------------------------------------
        NumPy (numpy/random/src/splitmix64/LICENSE.md)
        Source: numpy-2.4.6.dist-info/licenses/numpy/random/src/splitmix64/LICENSE.md
        -------------------------------------------------------------------------------
        
        # SPLITMIX64
        
        Written in 2015 by Sebastiano Vigna (vigna@acm.org)
        
        To the extent possible under law, the author has dedicated all copyright
        and related and neighboring rights to this software to the public domain
        worldwide. This software is distributed without any warranty.
        
        See <http://creativecommons.org/publicdomain/zero/1.0/>.
        
        -------------------------------------------------------------------------------
        pymdown-extensions
        Source: pymdown_extensions-10.21.3.dist-info/licenses/LICENSE.md
        -------------------------------------------------------------------------------
        
        # License
        
        ## PyMdown Extensions
        
        The MIT License (MIT)
        
        Copyright (c) 2014 - 2025 Isaac Muse
        
        Permission is hereby granted, free of charge, to any person obtaining a copy
        of this software and associated documentation files (the "Software"), to deal
        in the Software without restriction, including without limitation the rights
        to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
        copies of the Software, and to permit persons to whom the Software is
        furnished to do so, subject to the following conditions:
        
        The above copyright notice and this permission notice shall be included in all
        copies or substantial portions of the Software.
        
        THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
        IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
        FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
        AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
        LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
        OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
        SOFTWARE.
        
        ## SuperFences
        
        `superfences.py` is derived from Python Markdown's fenced_code extension.
        
        ```
        Fenced Code Extension for Python Markdown
         =========================================
        This extension adds Fenced Code Blocks to Python-Markdown.
        See <https://python-markdown.github.io/extensions/fenced_code_blocks/>
        for documentation.
        Original code Copyright 2007-2008 [Waylan Limberg](https://github.com/waylan).
        All changes Copyright 2008-2014 The Python Markdown Project
        License: [BSD](http://www.opensource.org/licenses/bsd-license.php)
        ```
        
        ## Highlight
        
        `highlight.py` is derived from Python Markdown's CodeHilite extension.
        
        ```
        CodeHilite Extension for Python-Markdown
         ========================================
        Adds code/syntax highlighting to standard Python-Markdown code blocks.
        See <https://python-markdown.github.io/extensions/code_hilite/>
        for documentation.
        Original code Copyright 2006-2008 [Waylan Limberg](https://github.com/waylan).
        All changes Copyright 2008-2014 The Python Markdown Project
        License: [BSD](http://www.opensource.org/licenses/bsd-license.php)
        ```
        
        ## FancyLists
        
        `fancylists.py` is derived from Python Markdown's list handler.
        
        ```
        Started by Manfred Stienstra (http://www.dwerg.net/).
        Maintained for a few years by Yuri Takhteyev (http://www.freewisdom.org).
        Currently maintained by Waylan Limberg (https://github.com/waylan),
        Dmitry Shachnev (https://github.com/mitya57) and Isaac Muse (https://github.com/facelessuser).
        
        Copyright 2007-2023 The Python Markdown Project (v. 1.7 and later)
        Copyright 2004, 2005, 2006 Yuri Takhteyev (v. 0.2-1.6b)
        Copyright 2004 Manfred Stienstra (the original version)
        
        License: [BSD](http://www.opensource.org/licenses/bsd-license.php)
        ```
        
        ## Gemoji Index
        
        `gemoji_db.py` is generated from Gemoji's source code: @github/gemoji.
        
        ```
        Copyright (c) 2013 GitHub, Inc.
        
        Permission is hereby granted, free of charge, to any person
        obtaining a copy of this software and associated documentation
        files (the "Software"), to deal in the Software without
        restriction, including without limitation the rights to use,
        copy, modify, merge, publish, distribute, sublicense, and/or sell
        copies of the Software, and to permit persons to whom the
        Software is furnished to do so, subject to the following
        conditions:
        
        The above copyright notice and this permission notice shall be
        included in all copies or substantial portions of the Software.
        
        THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
        EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
        OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
        NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
        HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
        WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
        FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
        OTHER DEALINGS IN THE SOFTWARE.
        ```
        
        ## EmojiOne Index
        
        `emoji1_db.py` is generated from EmojiOne's source code: @Ranks/emojione
        
        ```
        EmojiOne Non-Artwork
        
        Applies to the JavaScript, JSON, PHP, CSS, HTML files, and everything else not covered under the artwork license above.
        License: MIT
        Complete Legal Terms: http://opensource.org/licenses/MIT
        ```
        
        -------------------------------------------------------------------------------
        PyTorch (LICENSE)
        Source: torch-2.10.0.dist-info/licenses/LICENSE
        -------------------------------------------------------------------------------
        
        From PyTorch:
        
        Copyright (c) 2016-     Facebook, Inc            (Adam Paszke)
        Copyright (c) 2014-     Facebook, Inc            (Soumith Chintala)
        Copyright (c) 2011-2014 Idiap Research Institute (Ronan Collobert)
        Copyright (c) 2012-2014 Deepmind Technologies    (Koray Kavukcuoglu)
        Copyright (c) 2011-2012 NEC Laboratories America (Koray Kavukcuoglu)
        Copyright (c) 2011-2013 NYU                      (Clement Farabet)
        Copyright (c) 2006-2010 NEC Laboratories America (Ronan Collobert, Leon Bottou, Iain Melvin, Jason Weston)
        Copyright (c) 2006      Idiap Research Institute (Samy Bengio)
        Copyright (c) 2001-2004 Idiap Research Institute (Ronan Collobert, Samy Bengio, Johnny Mariethoz)
        
        From Caffe2:
        
        Copyright (c) 2016-present, Facebook Inc. All rights reserved.
        
        All contributions by Facebook:
        Copyright (c) 2016 Facebook Inc.
        
        All contributions by Google:
        Copyright (c) 2015 Google Inc.
        All rights reserved.
        
        All contributions by Yangqing Jia:
        Copyright (c) 2015 Yangqing Jia
        All rights reserved.
        
        All contributions by Kakao Brain:
        Copyright 2019-2020 Kakao Brain
        
        All contributions by Cruise LLC:
        Copyright (c) 2022 Cruise LLC.
        All rights reserved.
        
        All contributions by Tri Dao:
        Copyright (c) 2024 Tri Dao.
        All rights reserved.
        
        All contributions by Arm:
        Copyright (c) 2021, 2023-2025 Arm Limited and/or its affiliates
        
        All contributions from Caffe:
        Copyright(c) 2013, 2014, 2015, the respective contributors
        All rights reserved.
        
        All other contributions:
        Copyright(c) 2015, 2016 the respective contributors
        All rights reserved.
        
        Caffe2 uses a copyright model similar to Caffe: each contributor holds
        copyright over their contributions to Caffe2. The project versioning records
        all such contribution and copyright details. If a contributor wants to further
        mark their specific copyright on a particular contribution, they should
        indicate their copyright solely in the commit message of the change when it is
        committed.
        
        All rights reserved.
        
        Redistribution and use in source and binary forms, with or without
        modification, are permitted provided that the following conditions are met:
        
        1. Redistributions of source code must retain the above copyright
           notice, this list of conditions and the following disclaimer.
        
        2. Redistributions in binary form must reproduce the above copyright
           notice, this list of conditions and the following disclaimer in the
           documentation and/or other materials provided with the distribution.
        
        3. Neither the names of Facebook, Deepmind Technologies, NYU, NEC Laboratories America
           and IDIAP Research Institute nor the names of its contributors may be
           used to endorse or promote products derived from this software without
           specific prior written permission.
        
        THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
        AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
        IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
        ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
        LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
        CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
        SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
        INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
        CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
        ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
        POSSIBILITY OF SUCH DAMAGE.
        
        
        The PyTorch repository and source distributions bundle several libraries that are 
        compatibly licensed.  We list these here.
        
        Name: DCGM
        License: Apache-2.0
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/kineto/libkineto/third_party/dynolog/third_party/DCGM
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/kineto/libkineto/third_party/dynolog/third_party/DCGM/LICENSE
        
        Name: FP16
        License: MIT
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          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/FP16/LICENSE
        
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        License: MIT
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          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/FXdiv/LICENSE
        
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        License: BSD-2-Clause
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          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/NVTX/LICENSE.txt
        
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        License: MIT
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        License: BSD-3-Clause
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        License: MIT
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        License: Apache-2.0
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        Name: cJSON
        License: MIT
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/kineto/libkineto/third_party/dynolog/third_party/prometheus-cpp/3rdparty/civetweb/examples/rest/cJSON,
             /Users/runner/work/pytorch/pytorch/pytorch/third_party/opentelemetry-cpp/third_party/prometheus-cpp/3rdparty/civetweb/examples/rest/cJSON
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             /Users/runner/work/pytorch/pytorch/pytorch/third_party/opentelemetry-cpp/third_party/prometheus-cpp/3rdparty/civetweb/examples/rest/cJSON/LICENSE
        
        Name: catch2
        License: BSL-1.0
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        Name: cudnn_frontend
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        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/cudnn_frontend
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        Name: dart
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        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/flatbuffers/dart
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        Name: docs
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        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/NVTX/docs
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        Name: doctest
        License: MIT
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/kineto/libkineto/third_party/dynolog/third_party/json/test/thirdparty/doctest
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        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/kineto/libkineto/third_party/dynolog/third_party/prometheus-cpp/3rdparty/civetweb/src/third_party/duktape-1.5.2,
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        Name: dynolog
        License: MIT
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/kineto/libkineto/third_party/dynolog
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        Name: etw
        License: MIT
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/opentelemetry-cpp/exporters/etw/include/opentelemetry/exporters/etw
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/opentelemetry-cpp/exporters/etw/include/opentelemetry/exporters/etw/LICENSE
        
        Name: expected
        License: MIT
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/opentelemetry-cpp/third_party/opentracing-cpp/3rd_party/include/opentracing/expected
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/opentelemetry-cpp/third_party/opentracing-cpp/3rd_party/include/opentracing/expected/LICENSE
        
        Name: fbgemm
        License: BSD-3-Clause
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/fbgemm
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/fbgemm/LICENSE
        
        Name: ffnvcodec
        License: MIT with exception
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/opentelemetry-cpp/tools/vcpkg/ports/ffnvcodec
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        Name: flash-attention
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        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/flash-attention
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/flash-attention/LICENSE
        
        Name: flatbuffers
        License: Apache-2.0
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/flatbuffers
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        Name: fmt
        License: MIT with exception
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/fmt,
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        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/gemmlowp/gemmlowp
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/gemmlowp/gemmlowp/LICENSE
        
        Name: generator
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        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/tensorpipe/third_party/googletest/googlemock/scripts/generator,
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        Name: gettimeofday
        License: Apache-2.0
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/opentelemetry-cpp/tools/vcpkg/ports/gettimeofday
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/opentelemetry-cpp/tools/vcpkg/ports/gettimeofday/LICENSE
        
        Name: gloo
        License: BSD-3-Clause
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/gloo
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/gloo/LICENSE
        
        Name: googlemock
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        Name: googletest
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        Name: gtest
        License: BSD-3-Clause
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/ideep/mkl-dnn/tests/gtests/gtest
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/ideep/mkl-dnn/tests/gtests/gtest/LICENSE
        
        Name: hipify_torch
        License: MIT
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/fbgemm/external/hipify_torch
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/fbgemm/external/hipify_torch/LICENSE.txt
        
        Name: hstu
        License: BSD-3-Clause
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/fbgemm/fbgemm_gpu/experimental/hstu
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        Name: hungarian
        License: Permissive (free to use)
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/opentelemetry-cpp/tools/vcpkg/ports/hungarian
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        Name: ideep
        License: MIT
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/ideep
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/ideep/LICENSE
        
        Name: irrlicht
        License: MIT
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/opentelemetry-cpp/tools/vcpkg/ports/irrlicht
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/opentelemetry-cpp/tools/vcpkg/ports/irrlicht/LICENSE.txt
        
        Name: kineto
        License: BSD-3-Clause
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/kineto
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/kineto/LICENSE
        
        Name: libnop
        License: Apache-2.0
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/tensorpipe/third_party/libnop
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/tensorpipe/third_party/libnop/LICENSE
        
        Name: libstemmer
        License: BSD-3-Clause
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/opentelemetry-cpp/tools/vcpkg/ports/libstemmer
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/opentelemetry-cpp/tools/vcpkg/ports/libstemmer/LICENSE
        
        Name: libuv
        License: MIT
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/tensorpipe/third_party/libuv
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/tensorpipe/third_party/libuv/LICENSE
        
        Name: mimalloc
        License: MIT
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/mimalloc
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/mimalloc/LICENSE
        
        Name: miniz-3.0.2
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        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/miniz-3.0.2
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/miniz-3.0.2/LICENSE
        
        Name: mkl-dnn
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        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/ideep/mkl-dnn
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/ideep/mkl-dnn/LICENSE
        
        Name: ms-gsl
        License: MIT
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/opentelemetry-cpp/third_party/ms-gsl
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/opentelemetry-cpp/third_party/ms-gsl/LICENSE
        
        Name: mx
        License: MIT
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/fbgemm/fbgemm_gpu/test/quantize/mx,
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        Name: nccl
        License: BSD-3-Clause
        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/nccl
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/nccl/LICENSE.txt
        
        Name: onnx
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        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/onnx
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/onnx/LICENSE
        
        Name: opentelemetry-cpp
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        Files: /Users/runner/work/pytorch/pytorch/pytorch/third_party/opentelemetry-cpp
          For details, see the files concatenated below: /Users/runner/work/pytorch/pytorch/pytorch/third_party/opentelemetry-cpp/LICENSE
        
        Name: opentelemetry-proto
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           TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
        
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           APPENDIX: How to apply the Apache License to your work.
        
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           TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
        
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              "Contributor" shall mean Licensor and any individual or Legal Entity
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              subsequently incorporated within the Work.
        
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              by You to the Licensor shall be under the terms and conditions of
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           6. Trademarks. This License does not grant permission to use the trade
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              whether in tort (including negligence), contract, or otherwise,
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           APPENDIX: How to apply the Apache License to your work.
        
              To apply the Apache License to your work, attach the following
              boilerplate notice, with the fields enclosed by brackets "[]"
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           Licensed under the Apache License, Version 2.0 (the "License");
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        /Users/runner/work/pytorch/pytorch/pytorch/third_party/protobuf/third_party/benchmark/LICENSE
        ---------------------------------------------------------------------------------------------
        
                                         Apache License
                                   Version 2.0, January 2004
                                http://www.apache.org/licenses/
        
           TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
        
           1. Definitions.
        
              "License" shall mean the terms and conditions for use, reproduction,
              and distribution as defined by Sections 1 through 9 of this document.
        
              "Licensor" shall mean the copyright owner or entity authorized by
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              "Legal Entity" shall mean the union of the acting entity and all
              other entities that control, are controlled by, or are under common
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              outstanding shares, or (iii) beneficial ownership of such entity.
        
              "You" (or "Your") shall mean an individual or Legal Entity
              exercising permissions granted by this License.
        
              "Source" form shall mean the preferred form for making modifications,
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              source, and configuration files.
        
              "Object" form shall mean any form resulting from mechanical
              transformation or translation of a Source form, including but
              not limited to compiled object code, generated documentation,
              and conversions to other media types.
        
              "Work" shall mean the work of authorship, whether in Source or
              Object form, made available under the License, as indicated by a
              copyright notice that is included in or attached to the work
              (an example is provided in the Appendix below).
        
              "Derivative Works" shall mean any work, whether in Source or Object
              form, that is based on (or derived from) the Work and for which the
              editorial revisions, annotations, elaborations, or other modifications
              represent, as a whole, an original work of authorship. For the purposes
              of this License, Derivative Works shall not include works that remain
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              "Contribution" shall mean any work of authorship, including
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              "Contributor" shall mean Licensor and any individual or Legal Entity
              on behalf of whom a Contribution has been received by Licensor and
              subsequently incorporated within the Work.
        
           2. Grant of Copyright License. Subject to the terms and conditions of
              this License, each Contributor hereby grants to You a perpetual,
              worldwide, non-exclusive, no-charge, royalty-free, irrevocable
              copyright license to reproduce, prepare Derivative Works of,
              publicly display, publicly perform, sublicense, and distribute the
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              worldwide, non-exclusive, no-charge, royalty-free, irrevocable
              (except as stated in this section) patent license to make, have made,
              use, offer to sell, sell, import, and otherwise transfer the Work,
              where such license applies only to those patent claims licensable
              by such Contributor that are necessarily infringed by their
              Contribution(s) alone or by combination of their Contribution(s)
              with the Work to which such Contribution(s) was submitted. If You
              institute patent litigation against any entity (including a
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           4. Redistribution. You may reproduce and distribute copies of the
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              modifications, and in Source or Object form, provided that You
              meet the following conditions:
        
              (a) You must give any other recipients of the Work or
                  Derivative Works a copy of this License; and
        
              (b) You must cause any modified files to carry prominent notices
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              (c) You must retain, in the Source form of any Derivative Works
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                  attribution notices from the Source form of the Work,
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                  of the following places: within a NOTICE text file distributed
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                  within a display generated by the Derivative Works, if and
                  wherever such third-party notices normally appear. The contents
                  of the NOTICE file are for informational purposes only and
                  do not modify the License. You may add Your own attribution
                  notices within Derivative Works that You distribute, alongside
                  or as an addendum to the NOTICE text from the Work, provided
                  that such additional attribution notices cannot be construed
                  as modifying the License.
        
              You may add Your own copyright statement to Your modifications and
              may provide additional or different license terms and conditions
              for use, reproduction, or distribution of Your modifications, or
              for any such Derivative Works as a whole, provided Your use,
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              the conditions stated in this License.
        
           5. Submission of Contributions. Unless You explicitly state otherwise,
              any Contribution intentionally submitted for inclusion in the Work
              by You to the Licensor shall be under the terms and conditions of
              this License, without any additional terms or conditions.
              Notwithstanding the above, nothing herein shall supersede or modify
              the terms of any separate license agreement you may have executed
              with Licensor regarding such Contributions.
        
           6. Trademarks. This License does not grant permission to use the trade
              names, trademarks, service marks, or product names of the Licensor,
              except as required for reasonable and customary use in describing the
              origin of the Work and reproducing the content of the NOTICE file.
        
           7. Disclaimer of Warranty. Unless required by applicable law or
              agreed to in writing, Licensor provides the Work (and each
              Contributor provides its Contributions) on an "AS IS" BASIS,
              WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
              implied, including, without limitation, any warranties or conditions
              of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
              PARTICULAR PURPOSE. You are solely responsible for determining the
              appropriateness of using or redistributing the Work and assume any
              risks associated with Your exercise of permissions under this License.
        
           8. Limitation of Liability. In no event and under no legal theory,
              whether in tort (including negligence), contract, or otherwise,
              unless required by applicable law (such as deliberate and grossly
              negligent acts) or agreed to in writing, shall any Contributor be
              liable to You for damages, including any direct, indirect, special,
              incidental, or consequential damages of any character arising as a
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           9. Accepting Warranty or Additional Liability. While redistributing
              the Work or Derivative Works thereof, You may choose to offer,
              and charge a fee for, acceptance of support, warranty, indemnity,
              or other liability obligations and/or rights consistent with this
              License. However, in accepting such obligations, You may act only
              on Your own behalf and on Your sole responsibility, not on behalf
              of any other Contributor, and only if You agree to indemnify,
              defend, and hold each Contributor harmless for any liability
              incurred by, or claims asserted against, such Contributor by reason
              of your accepting any such warranty or additional liability.
        
           END OF TERMS AND CONDITIONS
        
           APPENDIX: How to apply the Apache License to your work.
        
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              the copyright owner that is granting the License.
        
              "Legal Entity" shall mean the union of the acting entity and all
              other entities that control, are controlled by, or are under common
              control with that entity. For the purposes of this definition,
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              otherwise, or (ii) ownership of fifty percent (50%) or more of the
              outstanding shares, or (iii) beneficial ownership of such entity.
        
              "You" (or "Your") shall mean an individual or Legal Entity
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              "Source" form shall mean the preferred form for making modifications,
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              source, and configuration files.
        
              "Object" form shall mean any form resulting from mechanical
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              not limited to compiled object code, generated documentation,
              and conversions to other media types.
        
              "Work" shall mean the work of authorship, whether in Source or
              Object form, made available under the License, as indicated by a
              copyright notice that is included in or attached to the work
              (an example is provided in the Appendix below).
        
              "Derivative Works" shall mean any work, whether in Source or Object
              form, that is based on (or derived from) the Work and for which the
              editorial revisions, annotations, elaborations, or other modifications
              represent, as a whole, an original work of authorship. For the purposes
              of this License, Derivative Works shall not include works that remain
              separable from, or merely link (or bind by name) to the interfaces of,
              the Work and Derivative Works thereof.
        
              "Contribution" shall mean any work of authorship, including
              the original version of the Work and any modifications or additions
              to that Work or Derivative Works thereof, that is intentionally
              submitted to Licensor for inclusion in the Work by the copyright owner
              or by an individual or Legal Entity authorized to submit on behalf of
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              "Contributor" shall mean Licensor and any individual or Legal Entity
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              subsequently incorporated within the Work.
        
           2. Grant of Copyright License. Subject to the terms and conditions of
              this License, each Contributor hereby grants to You a perpetual,
              worldwide, non-exclusive, no-charge, royalty-free, irrevocable
              copyright license to reproduce, prepare Derivative Works of,
              publicly display, publicly perform, sublicense, and distribute the
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           3. Grant of Patent License. Subject to the terms and conditions of
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              worldwide, non-exclusive, no-charge, royalty-free, irrevocable
              (except as stated in this section) patent license to make, have made,
              use, offer to sell, sell, import, and otherwise transfer the Work,
              where such license applies only to those patent claims licensable
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              with the Work to which such Contribution(s) was submitted. If You
              institute patent litigation against any entity (including a
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           4. Redistribution. You may reproduce and distribute copies of the
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              meet the following conditions:
        
              (a) You must give any other recipients of the Work or
                  Derivative Works a copy of this License; and
        
              (b) You must cause any modified files to carry prominent notices
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              (c) You must retain, in the Source form of any Derivative Works
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              (d) If the Work includes a "NOTICE" text file as part of its
                  distribution, then any Derivative Works that You distribute must
                  include a readable copy of the attribution notices contained
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                  pertain to any part of the Derivative Works, in at least one
                  of the following places: within a NOTICE text file distributed
                  as part of the Derivative Works; within the Source form or
                  documentation, if provided along with the Derivative Works; or,
                  within a display generated by the Derivative Works, if and
                  wherever such third-party notices normally appear. The contents
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                  do not modify the License. You may add Your own attribution
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              You may add Your own copyright statement to Your modifications and
              may provide additional or different license terms and conditions
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              for any such Derivative Works as a whole, provided Your use,
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              the conditions stated in this License.
        
           5. Submission of Contributions. Unless You explicitly state otherwise,
              any Contribution intentionally submitted for inclusion in the Work
              by You to the Licensor shall be under the terms and conditions of
              this License, without any additional terms or conditions.
              Notwithstanding the above, nothing herein shall supersede or modify
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           6. Trademarks. This License does not grant permission to use the trade
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              origin of the Work and reproducing the content of the NOTICE file.
        
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              Contributor provides its Contributions) on an "AS IS" BASIS,
              WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
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              of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
              PARTICULAR PURPOSE. You are solely responsible for determining the
              appropriateness of using or redistributing the Work and assume any
              risks associated with Your exercise of permissions under this License.
        
           8. Limitation of Liability. In no event and under no legal theory,
              whether in tort (including negligence), contract, or otherwise,
              unless required by applicable law (such as deliberate and grossly
              negligent acts) or agreed to in writing, shall any Contributor be
              liable to You for damages, including any direct, indirect, special,
              incidental, or consequential damages of any character arising as a
              result of this License or out of the use or inability to use the
              Work (including but not limited to damages for loss of goodwill,
              work stoppage, computer failure or malfunction, or any and all
              other commercial damages or losses), even if such Contributor
              has been advised of the possibility of such damages.
        
           9. Accepting Warranty or Additional Liability. While redistributing
              the Work or Derivative Works thereof, You may choose to offer,
              and charge a fee for, acceptance of support, warranty, indemnity,
              or other liability obligations and/or rights consistent with this
              License. However, in accepting such obligations, You may act only
              on Your own behalf and on Your sole responsibility, not on behalf
              of any other Contributor, and only if You agree to indemnify,
              defend, and hold each Contributor harmless for any liability
              incurred by, or claims asserted against, such Contributor by reason
              of your accepting any such warranty or additional liability.
        
           END OF TERMS AND CONDITIONS
        
           APPENDIX: How to apply the Apache License to your work.
        
              To apply the Apache License to your work, attach the following
              boilerplate notice, with the fields enclosed by brackets "[]"
              replaced with your own identifying information. (Don't include
              the brackets!)  The text should be enclosed in the appropriate
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           Copyright [yyyy] [name of copyright owner]
        
           Licensed under the Apache License, Version 2.0 (the "License");
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           You may obtain a copy of the License at
        
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           Unless required by applicable law or agreed to in writing, software
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        The above copyright notice and this permission notice shall be
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        THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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        MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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        LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
        OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
        WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
        
        --- Optional exception to the license ---
        
        As an exception, if, as a result of your compiling your source code, portions
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        permit persons to whom the Software is furnished to do so, subject to
        the following conditions:
        
        The above copyright notice and this permission notice shall be
        included in all copies or substantial portions of the Software.
        
        THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
        EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
        MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
        NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
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        WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
        
        --- Optional exception to the license ---
        
        As an exception, if, as a result of your compiling your source code, portions
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        /Users/runner/work/pytorch/pytorch/pytorch/third_party/kineto/libkineto/third_party/dynolog/third_party/fmt/LICENSE.rst
        -----------------------------------------------------------------------------------------------------------------------
        Copyright (c) 2012 - present, Victor Zverovich
        
        Permission is hereby granted, free of charge, to any person obtaining
        a copy of this software and associated documentation files (the
        "Software"), to deal in the Software without restriction, including
        without limitation the rights to use, copy, modify, merge, publish,
        distribute, sublicense, and/or sell copies of the Software, and to
        permit persons to whom the Software is furnished to do so, subject to
        the following conditions:
        
        The above copyright notice and this permission notice shall be
        included in all copies or substantial portions of the Software.
        
        THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
        EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
        MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
        NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
        LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
        OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
        WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
        
        --- Optional exception to the license ---
        
        As an exception, if, as a result of your compiling your source code, portions
        of this Software are embedded into a machine-executable object form of such
        source code, you may redistribute such embedded portions in such object form
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        /Users/runner/work/pytorch/pytorch/pytorch/third_party/gemmlowp/gemmlowp/LICENSE
        --------------------------------------------------------------------------------
        
                                         Apache License
                                   Version 2.0, January 2004
                                http://www.apache.org/licenses/
        
           TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
        
           1. Definitions.
        
              "License" shall mean the terms and conditions for use, reproduction,
              and distribution as defined by Sections 1 through 9 of this document.
        
              "Licensor" shall mean the copyright owner or entity authorized by
              the copyright owner that is granting the License.
        
              "Legal Entity" shall mean the union of the acting entity and all
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              control with that entity. For the purposes of this definition,
              "control" means (i) the power, direct or indirect, to cause the
              direction or management of such entity, whether by contract or
              otherwise, or (ii) ownership of fifty percent (50%) or more of the
              outstanding shares, or (iii) beneficial ownership of such entity.
        
              "You" (or "Your") shall mean an individual or Legal Entity
              exercising permissions granted by this License.
        
              "Source" form shall mean the preferred form for making modifications,
              including but not limited to software source code, documentation
              source, and configuration files.
        
              "Object" form shall mean any form resulting from mechanical
              transformation or translation of a Source form, including but
              not limited to compiled object code, generated documentation,
              and conversions to other media types.
        
              "Work" shall mean the work of authorship, whether in Source or
              Object form, made available under the License, as indicated by a
              copyright notice that is included in or attached to the work
              (an example is provided in the Appendix below).
        
              "Derivative Works" shall mean any work, whether in Source or Object
              form, that is based on (or derived from) the Work and for which the
              editorial revisions, annotations, elaborations, or other modifications
              represent, as a whole, an original work of authorship. For the purposes
              of this License, Derivative Works shall not include works that remain
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              "Contribution" shall mean any work of authorship, including
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              "Contributor" shall mean Licensor and any individual or Legal Entity
              on behalf of whom a Contribution has been received by Licensor and
              subsequently incorporated within the Work.
        
           2. Grant of Copyright License. Subject to the terms and conditions of
              this License, each Contributor hereby grants to You a perpetual,
              worldwide, non-exclusive, no-charge, royalty-free, irrevocable
              copyright license to reproduce, prepare Derivative Works of,
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              worldwide, non-exclusive, no-charge, royalty-free, irrevocable
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           4. Redistribution. You may reproduce and distribute copies of the
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              modifications, and in Source or Object form, provided that You
              meet the following conditions:
        
              (a) You must give any other recipients of the Work or
                  Derivative Works a copy of this License; and
        
              (b) You must cause any modified files to carry prominent notices
                  stating that You changed the files; and
        
              (c) You must retain, in the Source form of any Derivative Works
                  that You distribute, all copyright, patent, trademark, and
                  attribution notices from the Source form of the Work,
                  excluding those notices that do not pertain to any part of
                  the Derivative Works; and
        
              (d) If the Work includes a "NOTICE" text file as part of its
                  distribution, then any Derivative Works that You distribute must
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                  of the following places: within a NOTICE text file distributed
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                  do not modify the License. You may add Your own attribution
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                  as modifying the License.
        
              You may add Your own copyright statement to Your modifications and
              may provide additional or different license terms and conditions
              for use, reproduction, or distribution of Your modifications, or
              for any such Derivative Works as a whole, provided Your use,
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              the conditions stated in this License.
        
           5. Submission of Contributions. Unless You explicitly state otherwise,
              any Contribution intentionally submitted for inclusion in the Work
              by You to the Licensor shall be under the terms and conditions of
              this License, without any additional terms or conditions.
              Notwithstanding the above, nothing herein shall supersede or modify
              the terms of any separate license agreement you may have executed
              with Licensor regarding such Contributions.
        
           6. Trademarks. This License does not grant permission to use the trade
              names, trademarks, service marks, or product names of the Licensor,
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              origin of the Work and reproducing the content of the NOTICE file.
        
           7. Disclaimer of Warranty. Unless required by applicable law or
              agreed to in writing, Licensor provides the Work (and each
              Contributor provides its Contributions) on an "AS IS" BASIS,
              WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
              implied, including, without limitation, any warranties or conditions
              of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
              PARTICULAR PURPOSE. You are solely responsible for determining the
              appropriateness of using or redistributing the Work and assume any
              risks associated with Your exercise of permissions under this License.
        
           8. Limitation of Liability. In no event and under no legal theory,
              whether in tort (including negligence), contract, or otherwise,
              unless required by applicable law (such as deliberate and grossly
              negligent acts) or agreed to in writing, shall any Contributor be
              liable to You for damages, including any direct, indirect, special,
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              Work (including but not limited to damages for loss of goodwill,
              work stoppage, computer failure or malfunction, or any and all
              other commercial damages or losses), even if such Contributor
              has been advised of the possibility of such damages.
        
           9. Accepting Warranty or Additional Liability. While redistributing
              the Work or Derivative Works thereof, You may choose to offer,
              and charge a fee for, acceptance of support, warranty, indemnity,
              or other liability obligations and/or rights consistent with this
              License. However, in accepting such obligations, You may act only
              on Your own behalf and on Your sole responsibility, not on behalf
              of any other Contributor, and only if You agree to indemnify,
              defend, and hold each Contributor harmless for any liability
              incurred by, or claims asserted against, such Contributor by reason
              of your accepting any such warranty or additional liability.
        
           END OF TERMS AND CONDITIONS
        
           APPENDIX: How to apply the Apache License to your work.
        
              To apply the Apache License to your work, attach the following
              boilerplate notice, with the fields enclosed by brackets "[]"
              replaced with your own identifying information. (Don't include
              the brackets!)  The text should be enclosed in the appropriate
              comment syntax for the file format. We also recommend that a
              file or class name and description of purpose be included on the
              same "printed page" as the copyright notice for easier
              identification within third-party archives.
        
           Copyright [yyyy] [name of copyright owner]
        
           Licensed under the Apache License, Version 2.0 (the "License");
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           You may obtain a copy of the License at
        
               http://www.apache.org/licenses/LICENSE-2.0
        
           Unless required by applicable law or agreed to in writing, software
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           See the License for the specific language governing permissions and
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        /Users/runner/work/pytorch/pytorch/pytorch/third_party/tensorpipe/third_party/googletest/googlemock/scripts/generator/LICENSE
        -----------------------------------------------------------------------------------------------------------------------------
        
                                         Apache License
                                   Version 2.0, January 2004
                                http://www.apache.org/licenses/
        
           TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
        
           1. Definitions.
        
              "License" shall mean the terms and conditions for use, reproduction,
              and distribution as defined by Sections 1 through 9 of this document.
        
              "Licensor" shall mean the copyright owner or entity authorized by
              the copyright owner that is granting the License.
        
              "Legal Entity" shall mean the union of the acting entity and all
              other entities that control, are controlled by, or are under common
              control with that entity. For the purposes of this definition,
              "control" means (i) the power, direct or indirect, to cause the
              direction or management of such entity, whether by contract or
              otherwise, or (ii) ownership of fifty percent (50%) or more of the
              outstanding shares, or (iii) beneficial ownership of such entity.
        
              "You" (or "Your") shall mean an individual or Legal Entity
              exercising permissions granted by this License.
        
              "Source" form shall mean the preferred form for making modifications,
              including but not limited to software source code, documentation
              source, and configuration files.
        
              "Object" form shall mean any form resulting from mechanical
              transformation or translation of a Source form, including but
              not limited to compiled object code, generated documentation,
              and conversions to other media types.
        
              "Work" shall mean the work of authorship, whether in Source or
              Object form, made available under the License, as indicated by a
              copyright notice that is included in or attached to the work
              (an example is provided in the Appendix below).
        
              "Derivative Works" shall mean any work, whether in Source or Object
              form, that is based on (or derived from) the Work and for which the
              editorial revisions, annotations, elaborations, or other modifications
              represent, as a whole, an original work of authorship. For the purposes
              of this License, Derivative Works shall not include works that remain
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              the Work and Derivative Works thereof.
        
              "Contribution" shall mean any work of authorship, including
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              or by an individual or Legal Entity authorized to submit on behalf of
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              to the Licensor or its representatives, including but not limited to
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              "Contributor" shall mean Licensor and any individual or Legal Entity
              on behalf of whom a Contribution has been received by Licensor and
              subsequently incorporated within the Work.
        
           2. Grant of Copyright License. Subject to the terms and conditions of
              this License, each Contributor hereby grants to You a perpetual,
              worldwide, non-exclusive, no-charge, royalty-free, irrevocable
              copyright license to reproduce, prepare Derivative Works of,
              publicly display, publicly perform, sublicense, and distribute the
              Work and such Derivative Works in Source or Object form.
        
           3. Grant of Patent License. Subject to the terms and conditions of
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              worldwide, non-exclusive, no-charge, royalty-free, irrevocable
              (except as stated in this section) patent license to make, have made,
              use, offer to sell, sell, import, and otherwise transfer the Work,
              where such license applies only to those patent claims licensable
              by such Contributor that are necessarily infringed by their
              Contribution(s) alone or by combination of their Contribution(s)
              with the Work to which such Contribution(s) was submitted. If You
              institute patent litigation against any entity (including a
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              as of the date such litigation is filed.
        
           4. Redistribution. You may reproduce and distribute copies of the
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              modifications, and in Source or Object form, provided that You
              meet the following conditions:
        
              (a) You must give any other recipients of the Work or
                  Derivative Works a copy of this License; and
        
              (b) You must cause any modified files to carry prominent notices
                  stating that You changed the files; and
        
              (c) You must retain, in the Source form of any Derivative Works
                  that You distribute, all copyright, patent, trademark, and
                  attribution notices from the Source form of the Work,
                  excluding those notices that do not pertain to any part of
                  the Derivative Works; and
        
              (d) If the Work includes a "NOTICE" text file as part of its
                  distribution, then any Derivative Works that You distribute must
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                  pertain to any part of the Derivative Works, in at least one
                  of the following places: within a NOTICE text file distributed
                  as part of the Derivative Works; within the Source form or
                  documentation, if provided along with the Derivative Works; or,
                  within a display generated by the Derivative Works, if and
                  wherever such third-party notices normally appear. The contents
                  of the NOTICE file are for informational purposes only and
                  do not modify the License. You may add Your own attribution
                  notices within Derivative Works that You distribute, alongside
                  or as an addendum to the NOTICE text from the Work, provided
                  that such additional attribution notices cannot be construed
                  as modifying the License.
        
              You may add Your own copyright statement to Your modifications and
              may provide additional or different license terms and conditions
              for use, reproduction, or distribution of Your modifications, or
              for any such Derivative Works as a whole, provided Your use,
              reproduction, and distribution of the Work otherwise complies with
              the conditions stated in this License.
        
           5. Submission of Contributions. Unless You explicitly state otherwise,
              any Contribution intentionally submitted for inclusion in the Work
              by You to the Licensor shall be under the terms and conditions of
              this License, without any additional terms or conditions.
              Notwithstanding the above, nothing herein shall supersede or modify
              the terms of any separate license agreement you may have executed
              with Licensor regarding such Contributions.
        
           6. Trademarks. This License does not grant permission to use the trade
              names, trademarks, service marks, or product names of the Licensor,
              except as required for reasonable and customary use in describing the
              origin of the Work and reproducing the content of the NOTICE file.
        
           7. Disclaimer of Warranty. Unless required by applicable law or
              agreed to in writing, Licensor provides the Work (and each
              Contributor provides its Contributions) on an "AS IS" BASIS,
              WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
              implied, including, without limitation, any warranties or conditions
              of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
              PARTICULAR PURPOSE. You are solely responsible for determining the
              appropriateness of using or redistributing the Work and assume any
              risks associated with Your exercise of permissions under this License.
        
           8. Limitation of Liability. In no event and under no legal theory,
              whether in tort (including negligence), contract, or otherwise,
              unless required by applicable law (such as deliberate and grossly
              negligent acts) or agreed to in writing, shall any Contributor be
              liable to You for damages, including any direct, indirect, special,
              incidental, or consequential damages of any character arising as a
              result of this License or out of the use or inability to use the
              Work (including but not limited to damages for loss of goodwill,
              work stoppage, computer failure or malfunction, or any and all
              other commercial damages or losses), even if such Contributor
              has been advised of the possibility of such damages.
        
           9. Accepting Warranty or Additional Liability. While redistributing
              the Work or Derivative Works thereof, You may choose to offer,
              and charge a fee for, acceptance of support, warranty, indemnity,
              or other liability obligations and/or rights consistent with this
              License. However, in accepting such obligations, You may act only
              on Your own behalf and on Your sole responsibility, not on behalf
              of any other Contributor, and only if You agree to indemnify,
              defend, and hold each Contributor harmless for any liability
              incurred by, or claims asserted against, such Contributor by reason
              of your accepting any such warranty or additional liability.
        
           END OF TERMS AND CONDITIONS
        
           APPENDIX: How to apply the Apache License to your work.
        
              To apply the Apache License to your work, attach the following
              boilerplate notice, with the fields enclosed by brackets "[]"
              replaced with your own identifying information. (Don't include
              the brackets!)  The text should be enclosed in the appropriate
              comment syntax for the file format. We also recommend that a
              file or class name and description of purpose be included on the
              same "printed page" as the copyright notice for easier
              identification within third-party archives.
        
           Copyright [2007] Neal Norwitz
           Portions Copyright [2007] Google Inc.
        
           Licensed under the Apache License, Version 2.0 (the "License");
           you may not use this file except in compliance with the License.
           You may obtain a copy of the License at
        
               http://www.apache.org/licenses/LICENSE-2.0
        
           Unless required by applicable law or agreed to in writing, software
           distributed under the License is distributed on an "AS IS" BASIS,
           WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
           See the License for the specific language governing permissions and
           limitations under the License.
        
        
        /Users/runner/work/pytorch/pytorch/pytorch/third_party/kineto/libkineto/third_party/dynolog/third_party/prometheus-cpp/3rdparty/googletest/googlemock/scripts/generator/LICENSE
        -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
        
                                         Apache License
                                   Version 2.0, January 2004
                                http://www.apache.org/licenses/
        
           TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
        
           1. Definitions.
        
              "License" shall mean the terms and conditions for use, reproduction,
              and distribution as defined by Sections 1 through 9 of this document.
        
              "Licensor" shall mean the copyright owner or entity authorized by
              the copyright owner that is granting the License.
        
              "Legal Entity" shall mean the union of the acting entity and all
              other entities that control, are controlled by, or are under common
              control with that entity. For the purposes of this definition,
              "control" means (i) the power, direct or indirect, to cause the
              direction or management of such entity, whether by contract or
              otherwise, or (ii) ownership of fifty percent (50%) or more of the
              outstanding shares, or (iii) beneficial ownership of such entity.
        
              "You" (or "Your") shall mean an individual or Legal Entity
              exercising permissions granted by this License.
        
              "Source" form shall mean the preferred form for making modifications,
              including but not limited to software source code, documentation
              source, and configuration files.
        
              "Object" form shall mean any form resulting from mechanical
              transformation or translation of a Source form, including but
              not limited to compiled object code, generated documentation,
              and conversions to other media types.
        
              "Work" shall mean the work of authorship, whether in Source or
              Object form, made available under the License, as indicated by a
              copyright notice that is included in or attached to the work
              (an example is provided in the Appendix below).
        
              "Derivative Works" shall mean any work, whether in Source or Object
              form, that is based on (or derived from) the Work and for which the
              editorial revisions, annotations, elaborations, or other modifications
              represent, as a whole, an original work of authorship. For the purposes
              of this License, Derivative Works shall not include works that remain
              separable from, or merely link (or bind by name) to the interfaces of,
              the Work and Derivative Works thereof.
        
              "Contribution" shall mean any work of authorship, including
              the original version of the Work and any modifications or additions
              to that Work or Derivative Works thereof, that is intentionally
              submitted to Licensor for inclusion in the Work by the copyright owner
              or by an individual or Legal Entity authorized to submit on behalf of
              the copyright owner. For the purposes of this definition, "submitted"
              means any form of electronic, verbal, or written communication sent
              to the Licensor or its representatives, including but not limited to
              communication on electronic mailing lists, source code control systems,
              and issue tracking systems that are managed by, or on behalf of, the
              Licensor for the purpose of discussing and improving the Work, but
              excluding communication that is conspicuously marked or otherwise
              designated in writing by the copyright owner as "Not a Contribution."
        
              "Contributor" shall mean Licensor and any individual or Legal Entity
              on behalf of whom a Contribution has been received by Licensor and
              subsequently incorporated within the Work.
        
           2. Grant of Copyright License. Subject to the terms and conditions of
              this License, each Contributor hereby grants to You a perpetual,
              worldwide, non-exclusive, no-charge, royalty-free, irrevocable
              copyright license to reproduce, prepare Derivative Works of,
              publicly display, publicly perform, sublicense, and distribute the
              Work and such Derivative Works in Source or Object form.
        
           3. Grant of Patent License. Subject to the terms and conditions of
              this License, each Contributor hereby grants to You a perpetual,
              worldwide, non-exclusive, no-charge, royalty-free, irrevocable
              (except as stated in this section) patent license to make, have made,
              use, offer to sell, sell, import, and otherwise transfer the Work,
              where such license applies only to those patent claims licensable
              by such Contributor that are necessarily infringed by their
              Contribution(s) alone or by combination of their Contribution(s)
              with the Work to which such Contribution(s) was submitted. If You
              institute patent litigation against any entity (including a
              cross-claim or counterclaim in a lawsuit) alleging that the Work
              or a Contribution incorporated within the Work constitutes direct
              or contributory patent infringement, then any patent licenses
              granted to You under this License for that Work shall terminate
              as of the date such litigation is filed.
        
           4. Redistribution. You may reproduce and distribute copies of the
              Work or Derivative Works thereof in any medium, with or without
              modifications, and in Source or Object form, provided that You
              meet the following conditions:
        
              (a) You must give any other recipients of the Work or
                  Derivative Works a copy of this License; and
        
              (b) You must cause any modified files to carry prominent notices
                  stating that You changed the files; and
        
              (c) You must retain, in the Source form of any Derivative Works
                  that You distribute, all copyright, patent, trademark, and
                  attribution notices from the Source form of the Work,
                  excluding those notices that do not pertain to any part of
                  the Derivative Works; and
        
              (d) If the Work includes a "NOTICE" text file as part of its
                  distribution, then any Derivative Works that You distribute must
                  include a readable copy of the attribution notices contained
                  within such NOTICE file, excluding those notices that do not
                  pertain to any part of the Derivative Works, in at least one
                  of the following places: within a NOTICE text file distributed
                  as part of the Derivative Works; within the Source form or
                  documentation, if provided along with the Derivative Works; or,
                  within a display generated by the Derivative Works, if and
                  wherever such third-party notices normally appear. The contents
                  of the NOTICE file are for informational purposes only and
                  do not modify the License. You may add Your own attribution
                  notices within Derivative Works that You distribute, alongside
                  or as an addendum to the NOTICE text from the Work, provided
                  that such additional attribution notices cannot be construed
                  as modifying the License.
        
              You may add Your own copyright statement to Your modifications and
              may provide additional or different license terms and conditions
              for use, reproduction, or distribution of Your modifications, or
              for any such Derivative Works as a whole, provided Your use,
              reproduction, and distribution of the Work otherwise complies with
              the conditions stated in this License.
        
           5. Submission of Contributions. Unless You explicitly state otherwise,
              any Contribution intentionally submitted for inclusion in the Work
              by You to the Licensor shall be under the terms and conditions of
              this License, without any additional terms or conditions.
              Notwithstanding the above, nothing herein shall supersede or modify
              the terms of any separate license agreement you may have executed
              with Licensor regarding such Contributions.
        
           6. Trademarks. This License does not grant permission to use the trade
              names, trademarks, service marks, or product names of the Licensor,
              except as required for reasonable and customary use in describing the
              origin of the Work and reproducing the content of the NOTICE file.
        
           7. Disclaimer of Warranty. Unless required by applicable law or
              agreed to in writing, Licensor provides the Work (and each
              Contributor provides its Contributions) on an "AS IS" BASIS,
              WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
              implied, including, without limitation, any warranties or conditions
              of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
              PARTICULAR PURPOSE. You are solely responsible for determining the
              appropriateness of using or redistributing the Work and assume any
              risks associated with Your exercise of permissions under this License.
        
           8. Limitation of Liability. In no event and under no legal theory,
              whether in tort (including negligence), contract, or otherwise,
              unless required by applicable law (such as deliberate and grossly
              negligent acts) or agreed to in writing, shall any Contributor be
              liable to You for damages, including any direct, indirect, special,
              incidental, or consequential damages of any character arising as a
              result of this License or out of the use or inability to use the
              Work (including but not limited to damages for loss of goodwill,
              work stoppage, computer failure or malfunction, or any and all
              other commercial damages or losses), even if such Contributor
              has been advised of the possibility of such damages.
        
           9. Accepting Warranty or Additional Liability. While redistributing
              the Work or Derivative Works thereof, You may choose to offer,
              and charge a fee for, acceptance of support, warranty, indemnity,
              or other liability obligations and/or rights consistent with this
              License. However, in accepting such obligations, You may act only
              on Your own behalf and on Your sole responsibility, not on behalf
              of any other Contributor, and only if You agree to indemnify,
              defend, and hold each Contributor harmless for any liability
              incurred by, or claims asserted against, such Contributor by reason
              of your accepting any such warranty or additional liability.
        
           END OF TERMS AND CONDITIONS
        
           APPENDIX: How to apply the Apache License to your work.
        
              To apply the Apache License to your work, attach the following
              boilerplate notice, with the fields enclosed by brackets "[]"
              replaced with your own identifying information. (Don't include
              the brackets!)  The text should be enclosed in the appropriate
              comment syntax for the file format. We also recommend that a
              file or class name and description of purpose be included on the
              same "printed page" as the copyright notice for easier
              identification within third-party archives.
        
           Copyright [2007] Neal Norwitz
           Portions Copyright [2007] Google Inc.
        
           Licensed under the Apache License, Version 2.0 (the "License");
           you may not use this file except in compliance with the License.
           You may obtain a copy of the License at
        
               http://www.apache.org/licenses/LICENSE-2.0
        
           Unless required by applicable law or agreed to in writing, software
           distributed under the License is distributed on an "AS IS" BASIS,
           WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
           See the License for the specific language governing permissions and
           limitations under the License.
        
        
        /Users/runner/work/pytorch/pytorch/pytorch/third_party/opentelemetry-cpp/third_party/prometheus-cpp/3rdparty/googletest/googlemock/scripts/generator/LICENSE
        ------------------------------------------------------------------------------------------------------------------------------------------------------------
        
                                         Apache License
                                   Version 2.0, January 2004
                                http://www.apache.org/licenses/
        
           TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
        
           1. Definitions.
        
              "License" shall mean the terms and conditions for use, reproduction,
              and distribution as defined by Sections 1 through 9 of this document.
        
              "Licensor" shall mean the copyright owner or entity authorized by
              the copyright owner that is granting the License.
        
              "Legal Entity" shall mean the union of the acting entity and all
              other entities that control, are controlled by, or are under common
              control with that entity. For the purposes of this definition,
              "control" means (i) the power, direct or indirect, to cause the
              direction or management of such entity, whether by contract or
              otherwise, or (ii) ownership of fifty percent (50%) or more of the
              outstanding shares, or (iii) beneficial ownership of such entity.
        
              "You" (or "Your") shall mean an individual or Legal Entity
              exercising permissions granted by this License.
        
              "Source" form shall mean the preferred form for making modifications,
              including but not limited to software source code, documentation
              source, and configuration files.
        
              "Object" form shall mean any form resulting from mechanical
              transformation or translation of a Source form, including but
              not limited to compiled object code, generated documentation,
              and conversions to other media types.
        
              "Work" shall mean the work of authorship, whether in Source or
              Object form, made available under the License, as indicated by a
              copyright notice that is included in or attached to the work
              (an example is provided in the Appendix below).
        
              "Derivative Works" shall mean any work, whether in Source or Object
              form, that is based on (or derived from) the Work and for which the
              editorial revisions, annotations, elaborations, or other modifications
              represent, as a whole, an original work of authorship. For the purposes
              of this License, Derivative Works shall not include works that remain
              separable from, or merely link (or bind by name) to the interfaces of,
              the Work and Derivative Works thereof.
        
              "Contribution" shall mean any work of authorship, including
              the original version of the Work and any modifications or additions
              to that Work or Derivative Works thereof, that is intentionally
              submitted to Licensor for inclusion in the Work by the copyright owner
              or by an individual or Legal Entity authorized to submit on behalf of
              the copyright owner. For the purposes of this definition, "submitted"
              means any form of electronic, verbal, or written communication sent
              to the Licensor or its representatives, including but not limited to
              communication on electronic mailing lists, source code control systems,
              and issue tracking systems that are managed by, or on behalf of, the
              Licensor for the purpose of discussing and improving the Work, but
              excluding communication that is conspicuously marked or otherwise
              designated in writing by the copyright owner as "Not a Contribution."
        
              "Contributor" shall mean Licensor and any individual or Legal Entity
              on behalf of whom a Contribution has been received by Licensor and
              subsequently incorporated within the Work.
        
           2. Grant of Copyright License. Subject to the terms and conditions of
              this License, each Contributor hereby grants to You a perpetual,
              worldwide, non-exclusive, no-charge, royalty-free, irrevocable
              copyright license to reproduce, prepare Derivative Works of,
              publicly display, publicly perform, sublicense, and distribute the
              Work and such Derivative Works in Source or Object form.
        
           3. Grant of Patent License. Subject to the terms and conditions of
              this License, each Contributor hereby grants to You a perpetual,
              worldwide, non-exclusive, no-charge, royalty-free, irrevocable
              (except as stated in this section) patent license to make, have made,
              use, offer to sell, sell, import, and otherwise transfer the Work,
              where such license applies only to those patent claims licensable
              by such Contributor that are necessarily infringed by their
              Contribution(s) alone or by combination of their Contribution(s)
              with the Work to which such Contribution(s) was submitted. If You
              institute patent litigation against any entity (including a
              cross-claim or counterclaim in a lawsuit) alleging that the Work
              or a Contribution incorporated within the Work constitutes direct
              or contributory patent infringement, then any patent licenses
              granted to You under this License for that Work shall terminate
              as of the date such litigation is filed.
        
           4. Redistribution. You may reproduce and distribute copies of the
              Work or Derivative Works thereof in any medium, with or without
              modifications, and in Source or Object form, provided that You
              meet the following conditions:
        
              (a) You must give any other recipients of the Work or
                  Derivative Works a copy of this License; and
        
              (b) You must cause any modified files to carry prominent notices
                  stating that You changed the files; and
        
              (c) You must retain, in the Source form of any Derivative Works
                  that You distribute, all copyright, patent, trademark, and
                  attribution notices from the Source form of the Work,
                  excluding those notices that do not pertain to any part of
                  the Derivative Works; and
        
              (d) If the Work includes a "NOTICE" text file as part of its
                  distribution, then any Derivative Works that You distribute must
                  include a readable copy of the attribution notices contained
                  within such NOTICE file, excluding those notices that do not
                  pertain to any part of the Derivative Works, in at least one
                  of the following places: within a NOTICE text file distributed
                  as part of the Derivative Works; within the Source form or
                  documentation, if provided along with the Derivative Works; or,
                  within a display generated by the Derivative Works, if and
                  wherever such third-party notices normally appear. The contents
                  of the NOTICE file are for informational purposes only and
                  do not modify the License. You may add Your own attribution
                  notices within Derivative Works that You distribute, alongside
                  or as an addendum to the NOTICE text from the Work, provided
                  that such additional attribution notices cannot be construed
                  as modifying the License.
        
              You may add Your own copyright statement to Your modifications and
              may provide additional or different license terms and conditions
              for use, reproduction, or distribution of Your modifications, or
              for any such Derivative Works as a whole, provided Your use,
              reproduction, and distribution of the Work otherwise complies with
              the conditions stated in this License.
        
           5. Submission of Contributions. Unless You explicitly state otherwise,
              any Contribution intentionally submitted for inclusion in the Work
              by You to the Licensor shall be under the terms and conditions of
              this License, without any additional terms or conditions.
              Notwithstanding the above, nothing herein shall supersede or modify
              the terms of any separate license agreement you may have executed
              with Licensor regarding such Contributions.
        
           6. Trademarks. This License does not grant permission to use the trade
              names, trademarks, service marks, or product names of the Licensor,
              except as required for reasonable and customary use in describing the
              origin of the Work and reproducing the content of the NOTICE file.
        
           7. Disclaimer of Warranty. Unless required by applicable law or
              agreed to in writing, Licensor provides the Work (and each
              Contributor provides its Contributions) on an "AS IS" BASIS,
              WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
              implied, including, without limitation, any warranties or conditions
              of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
              PARTICULAR PURPOSE. You are solely responsible for determining the
              appropriateness of using or redistributing the Work and assume any
              risks associated with Your exercise of permissions under this License.
        
           8. Limitation of Liability. In no event and under no legal theory,
              whether in tort (including negligence), contract, or otherwise,
              unless required by applicable law (such as deliberate and grossly
              negligent acts) or agreed to in writing, shall any Contributor be
              liable to You for damages, including any direct, indirect, special,
              incidental, or consequential damages of any character arising as a
              result of this License or out of the use or inability to use the
              Work (including but not limited to damages for loss of goodwill,
              work stoppage, computer failure or malfunction, or any and all
              other commercial damages or losses), even if such Contributor
              has been advised of the possibility of such damages.
        
           9. Accepting Warranty or Additional Liability. While redistributing
              the Work or Derivative Works thereof, You may choose to offer,
              and charge a fee for, acceptance of support, warranty, indemnity,
              or other liability obligations and/or rights consistent with this
              License. However, in accepting such obligations, You may act only
              on Your own behalf and on Your sole responsibility, not on behalf
              of any other Contributor, and only if You agree to indemnify,
              defend, and hold each Contributor harmless for any liability
              incurred by, or claims asserted against, such Contributor by reason
              of your accepting any such warranty or additional liability.
        
           END OF TERMS AND CONDITIONS
        
           APPENDIX: How to apply the Apache License to your work.
        
              To apply the Apache License to your work, attach the following
              boilerplate notice, with the fields enclosed by brackets "[]"
              replaced with your own identifying information. (Don't include
              the brackets!)  The text should be enclosed in the appropriate
              comment syntax for the file format. We also recommend that a
              file or class name and description of purpose be included on the
              same "printed page" as the copyright notice for easier
              identification within third-party archives.
        
           Copyright [2007] Neal Norwitz
           Portions Copyright [2007] Google Inc.
        
           Licensed under the Apache License, Version 2.0 (the "License");
           you may not use this file except in compliance with the License.
           You may obtain a copy of the License at
        
               http://www.apache.org/licenses/LICENSE-2.0
        
           Unless required by applicable law or agreed to in writing, software
           distributed under the License is distributed on an "AS IS" BASIS,
           WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
           See the License for the specific language governing permissions and
           limitations under the License.
        
        
        /Users/runner/work/pytorch/pytorch/pytorch/third_party/protobuf/third_party/googletest/googlemock/scripts/generator/LICENSE
        ---------------------------------------------------------------------------------------------------------------------------
        
                                         Apache License
                                   Version 2.0, January 2004
                                http://www.apache.org/licenses/
        
           TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
        
           1. Definitions.
        
              "License" shall mean the terms and conditions for use, reproduction,
              and distribution as defined by Sections 1 through 9 of this document.
        
              "Licensor" shall mean the copyright owner or entity authorized by
              the copyright owner that is granting the License.
        
              "Legal Entity" shall mean the union of the acting entity and all
              other entities that control, are controlled by, or are under common
              control with that entity. For the purposes of this definition,
              "control" means (i) the power, direct or indirect, to cause the
              direction or management of such entity, whether by contract or
              otherwise, or (ii) ownership of fifty percent (50%) or more of the
              outstanding shares, or (iii) beneficial ownership of such entity.
        
              "You" (or "Your") shall mean an individual or Legal Entity
              exercising permissions granted by this License.
        
              "Source" form shall mean the preferred form for making modifications,
              including but not limited to software source code, documentation
              source, and configuration files.
        
              "Object" form shall mean any form resulting from mechanical
              transformation or translation of a Source form, including but
              not limited to compiled object code, generated documentation,
              and conversions to other media types.
        
              "Work" shall mean the work of authorship, whether in Source or
              Object form, made available under the License, as indicated by a
              copyright notice that is included in or attached to the work
              (an example is provided in the Appendix below).
        
              "Derivative Works" shall mean any work, whether in Source or Object
              form, that is based on (or derived from) the Work and for which the
              editorial revisions, annotations, elaborations, or other modifications
              represent, as a whole, an original work of authorship. For the purposes
              of this License, Derivative Works shall not include works that remain
              separable from, or merely link (or bind by name) to the interfaces of,
              the Work and Derivative Works thereof.
        
              "Contribution" shall mean any work of authorship, including
              the original version of the Work and any modifications or additions
              to that Work or Derivative Works thereof, that is intentionally
              submitted to Licensor for inclusion in the Work by the copyright owner
              or by an individual or Legal Entity authorized to submit on behalf of
              the copyright owner. For the purposes of this definition, "submitted"
              means any form of electronic, verbal, or written communication sent
              to the Licensor or its representatives, including but not limited to
              communication on electronic mailing lists, source code control systems,
              and issue tracking systems that are managed by, or on behalf of, the
              Licensor for the purpose of discussing and improving the Work, but
              excluding communication that is conspicuously marked or otherwise
              designated in writing by the copyright owner as "Not a Contribution."
        
              "Contributor" shall mean Licensor and any individual or Legal Entity
              on behalf of whom a Contribution has been received by Licensor and
              subsequently incorporated within the Work.
        
           2. Grant of Copyright License. Subject to the terms and conditions of
              this License, each Contributor hereby grants to You a perpetual,
              worldwide, non-exclusive, no-charge, royalty-free, irrevocable
              copyright license to reproduce, prepare Derivative Works of,
              publicly display, publicly perform, sublicense, and distribute the
              Work and such Derivative Works in Source or Object form.
        
           3. Grant of Patent License. Subject to the terms and conditions of
              this License, each Contributor hereby grants to You a perpetual,
              worldwide, non-exclusive, no-charge, royalty-free, irrevocable
              (except as stated in this section) patent license to make, have made,
              use, offer to sell, sell, import, and otherwise transfer the Work,
              where such license applies only to those patent claims licensable
              by such Contributor that are necessarily infringed by their
              Contribution(s) alone or by combination of their Contribution(s)
              with the Work to which such Contribution(s) was submitted. If You
              institute patent litigation against any entity (including a
              cross-claim or counterclaim in a lawsuit) alleging that the Work
              or a Contribution incorporated within the Work constitutes direct
              or contributory patent infringement, then any patent licenses
              granted to You under this License for that Work shall terminate
              as of the date such litigation is filed.
        
           4. Redistribution. You may reproduce and distribute copies of the
              Work or Derivative Works thereof in any medium, with or without
              modifications, and in Source or Object form, provided that You
              meet the following conditions:
        
              (a) You must give any other recipients of the Work or
                  Derivative Works a copy of this License; and
        
              (b) You must cause any modified files to carry prominent notices
                  stating that You changed the files; and
        
              (c) You must retain, in the Source form of any Derivative Works
                  that You distribute, all copyright, patent, trademark, and
                  attribution notices from the Source form of the Work,
                  excluding those notices that do not pertain to any part of
                  the Derivative Works; and
        
              (d) If the Work includes a "NOTICE" text file as part of its
                  distribution, then any Derivative Works that You distribute must
                  include a readable copy of the attribution notices contained
                  within such NOTICE file, excluding those notices that do not
                  pertain to any part of the Derivative Works, in at least one
                  of the following places: within a NOTICE text file distributed
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        ----------------------------------------------------------------------------------------------------------------
                                         Apache License
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           TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
        
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              "License" shall mean the terms and conditions for use, reproduction,
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              "Derivative Works" shall mean any work, whether in Source or Object
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           APPENDIX: How to apply the Apache License to your work.
        
              To apply the Apache License to your work, attach the following
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        /*
        *  xxHash - Fast Hash algorithm
        *  Copyright (C) 2012-2016, Yann Collet
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        *  You can contact the author at :
        *  - xxHash homepage: http://www.xxhash.com
        *  - xxHash source repository : https://github.com/Cyan4973/xxHash
        */
        
        
        ===========================================================================================================================================
        
        # Copyright (C) 2018 Google, Inc.
        #
        # All rights reserved.
        #
        # Redistribution and use in source and binary forms, with or without
        # modification, are permitted provided that the following conditions
        # are met:
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        ==========================================================================================================================================
        
        /* A Bison parser, made by GNU Bison 3.0.4.  */
        
        /* Bison implementation for Yacc-like parsers in C
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        /* As a special exception, you may create a larger work that contains
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        /* C LALR(1) parser skeleton written by Richard Stallman, by
        simplifying the original so-called "semantic" parser.  */
        
        /* All symbols defined below should begin with yy or YY, to avoid
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        ==============================================================================================================================================
        
        copyright : [
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        =========================================================================================================================================
        
        /*
        Copyright (c) 2009 Dave Gamble
        Copyright (c) 2015-2016 The Khronos Group Inc.
        Copyright (c) 2015-2016 Valve Corporation
        Copyright (c) 2015-2016 LunarG, Inc.
        
        Permission is hereby granted, free of charge, to any person obtaining a copy
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        LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
        OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
        THE SOFTWARE.
        */
        
        ===========================================================================================================================================
        
        Copyright (c) 2005 - 2017 G-Truc Creation
        
        Permission is hereby granted, free of charge, to any person obtaining a copy
        of this software and associated documentation files (the "Software"), to deal
        in the Software without restriction, including without limitation the rights
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        AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
        LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
        OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
        
        
        ==========================================================================================================================================
        
        /*
        The JsonCpp library's source code, including accompanying documentation,
        tests and demonstration applications, are licensed under the following
        conditions...
        The author (Baptiste Lepilleur) explicitly disclaims copyright in all
        jurisdictions which recognize such a disclaimer. In such jurisdictions,
        this software is released into the Public Domain.
        In jurisdictions which do not recognize Public Domain property (e.g. Germany as of
        2010), this software is Copyright (c) 2007-2010 by Baptiste Lepilleur, and is
        released under the terms of the MIT License (see below).
        In jurisdictions which recognize Public Domain property, the user of this
        software may choose to accept it either as 1) Public Domain, 2) under the
        conditions of the MIT License (see below), or 3) under the terms of dual
        Public Domain/MIT License conditions described here, as they choose.
        The MIT License is about as close to Public Domain as a license can get, and is
        described in clear, concise terms at:
        http://en.wikipedia.org/wiki/MIT_License
        
        The full text of the MIT License follows:
        
        Copyright (c) 2007-2010 Baptiste Lepilleur
        Permission is hereby granted, free of charge, to any person
        obtaining a copy of this software and associated documentation
        files (the "Software"), to deal in the Software without
        restriction, including without limitation the rights to use, copy,
        modify, merge, publish, distribute, sublicense, and/or sell copies
        of the Software, and to permit persons to whom the Software is
        furnished to do so, subject to the following conditions:
        The above copyright notice and this permission notice shall be
        included in all copies or substantial portions of the Software.
        THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
        EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
        MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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        BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
        ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
        CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
        SOFTWARE.
        
        ==========================================================================================================================================
        
        /**
        * `murmurhash.h' - murmurhash
        *
        * copyright (c) 2014 joseph werle <joseph.werle@gmail.com>
        * Copyright (c) 2015-2016 The Khronos Group Inc.
        * Copyright (c) 2015-2016 Valve Corporation
        * Copyright (c) 2015-2016 LunarG, Inc.
        *
        * Permission is hereby granted, free of charge, to any person obtaining a copy
        * of this software and/or associated documentation files (the "Materials"), to
        * deal in the Materials without restriction, including without limitation the
        * rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
        * sell copies of the Materials, and to permit persons to whom the Materials are
        * furnished to do so, subject to the following conditions:
        *
        * The above copyright notice(s) and this permission notice shall be included in
        * all copies or substantial portions of the Materials.
        *
        * THE MATERIALS ARE PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
        * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
        * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
        *
        * IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,
        * DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR
        * OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE MATERIALS OR THE
        * USE OR OTHER DEALINGS IN THE MATERIALS.
        */
        
        =========================================================================================================================================
        
        Licenced as X11: http://www.kryogenix.org/code/browser/licence.html
        This basically means: do what you want with it.
        
        =========================================================================================================================================
        
        ///////////////////////////////////////////////////////////////////////////////////
        /// OpenGL Mathematics (glm.g-truc.net)
        ///
        /// Copyright (c) 2005 - 2014 G-Truc Creation (www.g-truc.net)
        /// Permission is hereby granted, free of charge, to any person obtaining a copy
        /// of this software and associated documentation files (the "Software"), to deal
        /// in the Software without restriction, including without limitation the rights
        /// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
        /// copies of the Software, and to permit persons to whom the Software is
        /// furnished to do so, subject to the following conditions:
        /// 
        /// The above copyright notice and this permission notice shall be included in
        /// all copies or substantial portions of the Software.
        /// 
        /// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
        /// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
        /// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
        /// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
        /// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
        /// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
        /// THE SOFTWARE.
        ///
        /// @ref core
        /// @file glm/common.hpp
        /// @date 2013-12-24 / 2013-12-24
        /// @author Christophe Riccio
        ///////////////////////////////////////////////////////////////////////////////////
        
        
        ==========================================================================================================================================
        
        // LICENSE
        //
        // This software is in the public domain. Where that dedication is not
        // recognized, you are granted a perpetual, irrevocable license to copy,
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        //
        
        ==========================================================================================================================================
        
        Simple DirectMedia Layer
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        -------------------------------------------------------------------------------
        PyTorch (NOTICE)
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        -------------------------------------------------------------------------------
        
        =======================================================================
        Software under third_party
        =======================================================================
        Software libraries under third_party are provided as github submodule
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        =======================================================================
        Earlier BSD License
        =======================================================================
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        =======================================================================
        Caffe's BSD License
        =======================================================================
        Some parts of the caffe2 code is derived from the original Caffe code, which is
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        - autoflake, licensed as follows:
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        - autotyping, licensed as follows:
          """
            MIT License
        
            Copyright (c) 2023 Jelle Zijlstra
        
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        - Flake8, licensed as follows:
          """
            == Flake8 License (MIT) ==
        
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            OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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          """
        
        - flake8-eradicate, licensed as follows:
          """
            MIT License
        
            Copyright (c) 2018 Nikita Sobolev
        
            Permission is hereby granted, free of charge, to any person obtaining a copy
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            LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
            OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
            SOFTWARE.
          """
        
        - flake8-pyi, licensed as follows:
          """
            The MIT License (MIT)
        
            Copyright (c) 2016 Łukasz Langa
        
            Permission is hereby granted, free of charge, to any person obtaining a copy
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          """
        
        - flake8-simplify, licensed as follows:
          """
            MIT License
        
            Copyright (c) 2020 Martin Thoma
        
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        - isort, licensed as follows:
          """
            The MIT License (MIT)
        
            Copyright (c) 2013 Timothy Edmund Crosley
        
            Permission is hereby granted, free of charge, to any person obtaining a copy
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          """
        
        - pygrep-hooks, licensed as follows:
          """
            Copyright (c) 2018 Anthony Sottile
        
            Permission is hereby granted, free of charge, to any person obtaining a copy
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            in the Software without restriction, including without limitation the rights
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            furnished to do so, subject to the following conditions:
        
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Project-URL: Homepage, https://github.com/Concode0/clifra
Project-URL: Repository, https://github.com/Concode0/clifra
Keywords: geometric-algebra,clifford-algebra,deep-learning,pytorch,rotor,multivector,equivariant
Classifier: Development Status :: 4 - Beta
Classifier: Intended Audience :: Science/Research
Classifier: Topic :: Scientific/Engineering :: Artificial Intelligence
Classifier: Topic :: Scientific/Engineering :: Mathematics
Classifier: License :: OSI Approved :: Apache Software License
Classifier: Programming Language :: Python :: 3
Classifier: Programming Language :: Python :: 3.10
Classifier: Programming Language :: Python :: 3.11
Classifier: Programming Language :: Python :: 3.12
Requires-Python: >=3.10
Description-Content-Type: text/markdown
License-File: LICENSE
License-File: NOTICE
Requires-Dist: torch>=2.0.0
Requires-Dist: setuptools>=80.10.2
Provides-Extra: dev
Requires-Dist: pytest>=7.0.0; extra == "dev"
Requires-Dist: pytest-xdist>=3.8.0; extra == "dev"
Requires-Dist: ruff>=0.8.0; extra == "dev"
Provides-Extra: all
Requires-Dist: clifra[dev]; extra == "all"
Dynamic: license-file

# clifra

[![License](https://img.shields.io/badge/License-Apache%202.0-blue.svg)](LICENSE)
[![Python](https://img.shields.io/badge/python-3.10+-blue.svg)](https://www.python.org/downloads/)
[![PyTorch](https://img.shields.io/badge/PyTorch-2.0+-ee4c2c.svg)](https://pytorch.org/)
[![Docs](https://img.shields.io/badge/docs-MkDocs-brightgreen)](https://concode0.github.io/clifra/)
[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.18939518.svg)](https://doi.org/10.5281/zenodo.18939518)

Layout-first Clifford algebra tools for PyTorch.

Clifra exposes one planner-owned algebra host. Full-lane tensors and compact
grade layouts share the same algebra, while planning builds static executors for
products, metrics, exponentials, actions, layers, and analysis utilities.

## Install

```bash
uv sync
uv sync --extra dev
```

Docs:

```bash
uv sync --group docs
uv run --group docs mkdocs serve
```

## Minimal Use

```python
import torch

from clifra import make_algebra

algebra = make_algebra(3, 0, device="cpu")
vectors = algebra.layout((1,))
products = algebra.plan_product(
    op="gp",
    left_layout=vectors,
    right_layout=vectors,
    output_layout=algebra.layout((0, 2)),
)

left = torch.randn(8, vectors.dim)
right = torch.randn(8, vectors.dim)
out = products(left, right)
```

## Checks

```bash
uv run pytest tests/ -m unit -q --tb=short
uv run pytest tests/ -m "not slow" -q --tb=short
uv run ruff check .
uv run --group docs mkdocs build
```

## Docs

The docs are intentionally small: API pages come from live docstrings, and
`docs/core-design.md` keeps the process snippets.

## Research

`research/continuum_solver` is a research engine built on clifra for fitting
stable, fast continuum deformations. It uses diffeomorphism-style coordinate
morphing over clifra charts and invertible bivector fields, inheriting clifra's
planned algebra execution.

## Contribution

Found a problem or want to propose a change? Please open an Issue first,
especially before a PR, so the scope is clear.

## License

Apache License 2.0. See [LICENSE](LICENSE) and [NOTICE](NOTICE).

## Citation

```bibtex
@software{kim2026clifra,
  author  = {Kim, Eunkyum},
  title   = {clifra: Clifford Algebra Layers for PyTorch},
  url     = {https://github.com/Concode0/clifra},
  version = {1.1.0},
  year    = {2026},
  doi     = {10.5281/zenodo.18939518},
  license = {Apache-2.0}
}
```

## References

### RotorGadget Layer Architectures
This project implements the equivariant layer architectures derived from the irreducible decomposition of Clifford multivectors. 
* *RotorGadget* implementations found in `clifra/layers/primitives/rotor_gadget.py` are based on:
  - Pence, T., Yamada, D., & Singh, V. (2025). "Composing Linear Layers from Irreducibles." *arXiv:2507.11688*.

### Optimization on Manifolds
The core solvers and adaptive optimizers in `clifra/optimizers/` leverage Riemannian optimization techniques to handle the non-linear constraints of multivector rotors and versor transformations:
  - Absil, P.-A., Mahony, R., & Sepulchre, R. (2008). *Optimization Algorithms on Matrix Manifolds*. Princeton University Press.
  - Boumal, N. (2023). *An Introduction to Optimization on Smooth Manifolds*. Cambridge University Press.
