Copyright (c) 2013-2015 SymPy Development Team

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.
=================================GMP======================================

Copyright 1991, 1996, 1999, 2000, 2007 Free Software Foundation, Inc.

This file is part of the GNU MP Library.

The GNU MP Library is free software; you can redistribute it and/or modify
it under the terms of either:

  * the GNU Lesser General Public License as published by the Free
    Software Foundation; either version 3 of the License, or (at your
    option) any later version.

or

  * the GNU General Public License as published by the Free Software
    Foundation; either version 2 of the License, or (at your option) any
    later version.

or both in parallel

================================MPIR=======================================

Copyright 1991, 1996, 1999, 2000 Free Software Foundation, Inc.

Copyright 2008, 2009 William Hart

This file is part of the MPIR Library.

The MPIR Library is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 3 of the License, or (at your
option) any later version.

================================MPFR======================================

Copyright 2000-2020 Free Software Foundation, Inc.
Contributed by the AriC and Caramba projects, INRIA.

This file is part of the GNU MPFR Library.

The GNU MPFR Library is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 3 of the License, or (at your
option) any later version.

The GNU MPFR Library 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.

You should have received a copy of the GNU Lesser General Public License
along with the GNU MPFR Library; see the file COPYING.LESSER.  If not, see
https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA.

===============================MPC=========================================

Copyright (C) INRIA 2003, 2005, 2007, 2008, 2009, 2010, 2011, 2012, 2014, 2015, 2018, 2020

Copying and distribution of this file, with or without modification,
are permitted in any medium without royalty provided the copyright
notice and this notice are preserved. This file is offered as-is,
without any warranty.


GNU MPC is a complex floating-point library with exact rounding.
It is based on the GNU MPFR floating-point library (http://www.mpfr.org/),
which is itself based on the GNU MP library (http://gmplib.org/).

==============================FLINT2============================================

FLINT (Fast Library for Number Theory) is a C library in support of computations
in number theory. It's also a research project into algorithms in number theory.

FLINT 2 is a complete rewrite of the FLINT library from scratch. It includes
much cleaner code and in many cases much faster algorithms and implementations.

At this stage FLINT consists mainly of fast integer and polynomial
arithmetic and linear algebra. In the future it is planned that FLINT will
contain algorithms for algebraic number theory and other number theoretic
functionality.

William Hart -- 16 Jan 2011.

License
-------
This version is distributed under LGPL 2.1 (GNU Lesser General Public License).
See the LICENSE file.

===============================LLVM============================================

The LLVM Project is under the Apache License v2.0 with LLVM Exceptions

==============================SYMENGINE========================================

Copyright (c) 2013-2017 SymEngine Development Team

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.

-------------------------------------------------------------------------------

All files in symengine/utilities/teuchos were taken from the Trilinos package
and are licensed under the modified BSD license:

                   Teuchos: Common Tools Package
                Copyright (2004) Sandia Corporation

Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
license for use of this work by or on behalf of the U.S. Government.

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 Corporation nor the names of the
contributors may be used to endorse or promote products derived from
this software without specific prior written permission.

THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "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 SANDIA CORPORATION OR THE
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.

Questions? Contact Michael A. Heroux (maherou@sandia.gov)

-------------------------------------------------------------------------------

Code in symengine/sparse_matrix.cpp is a port from scipy sparse matrix module
and licensed under the modified BSD license:

Copyright (c) 2001, 2002 Enthought, Inc.
All rights reserved.

Copyright (c) 2003-2012 SciPy 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:

  a. Redistributions of source code must retain the above copyright notice,
     this list of conditions and the following disclaimer.
  b. 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.
  c. Neither the name of Enthought nor the names of the SciPy Developers
     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 HOLDERS 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.

-------------------------------------------------------------------------------
Code in symengine/symengine_casts.h is licensed under the modified BSD license:

Protocol Buffers - Google's data interchange format
Copyright 2014 Google Inc.  All rights reserved.
https://developers.google.com/protocol-buffers/

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 Google Inc. 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.

---------------------------------------------------------------------------------
Code in symengine/utilities/matchpycpp is licensed under this additional license:

MIT License

Copyright (c) 2016 Manuel Krebber

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.

---------------------------------------------------------------------------------
Code in symengine/parser/parser.tab.hh and symengine/parser/parser.tab.cc
are licensed under the following modified GPL license. The special exception
allows redistribution under the terms (BSD license) for SymEngine library.

A Bison parser, made by GNU Bison 3.0.4.

Bison interface for Yacc-like parsers in C

Copyright (C) 1984, 1989-1990, 2000-2015 Free Software Foundation, Inc.

This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.

This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.

You should have received a copy of the GNU General Public License
along with this program.  If not, see <http://www.gnu.org/licenses/>.

As a special exception, you may create a larger work that contains
part or all of the Bison parser skeleton and distribute that work
under terms of your choice, so long as that work isn't itself a
parser generator using the skeleton or a modified version thereof
as a parser skeleton.  Alternatively, if you modify or redistribute
the parser skeleton itself, you may (at your option) remove this
special exception, which will cause the skeleton and the resulting
Bison output files to be licensed under the GNU General Public
License without this special exception.

This special exception was added by the Free Software Foundation in
version 2.2 of Bison.

C LALR(1) parser skeleton written by Richard Stallman, by
simplifying the original so-called "semantic" parser.

---------------------------------------------------------------------------------
Code in cmake/cotire.cmake is licensed under this additional license:

- cotire (compile time reducer)

See the cotire manual for usage hints.

Copyright 2012-2016 Sascha Kratky

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.

=============================PTHREADS-WIN32================================

	pthreads-win32 - a POSIX threads library for Microsoft Windows



This file is Copyrighted

------------------------


    This file is covered under the following Copyright:


	Copyright (C) 2001 Ross P. Johnson

	All rights reserved.


	Everyone is permitted to copy and distribute verbatim copies

	of this license document, but changing it is not allowed.


Pthreads-win32 is covered by the GNU Lesser General Public License

------------------------------------------------------------------


    Pthreads-win32 is open software; you can redistribute it and/or

    modify it under the terms of the GNU Lesser General Public License

    as published by the Free Software Foundation version 2.1 of the

    License.


    Pthreads-win32 is several binary link libraries, several modules,

    associated interface definition files and scripts used to control

    its compilation and installation.


    Pthreads-win32 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.


    A copy of the GNU Lesser General Public License is distributed with

    pthreads-win32 under the filename:


	    COPYING.LIB


    You should have received a copy of the version 2.1 GNU Lesser General

    Public License with pthreads-win32; if not, write to:


	    Free Software Foundation, Inc.

	    59 Temple Place

	    Suite 330

	    Boston, MA	02111-1307

	    USA


    The contact addresses for pthreads-win32 is as follows:


	Web:	http://sources.redhat.com/pthreads-win32

        Email:  Ross Johnson <rpj@ise.canberra.edu.au>, or

                Ross.Johnson@canberra.edu.au



pthreads-win32 copyrights and exception files

---------------------------------------------


    With the exception of the files listed below, Pthreads-win32

    is covered under the following GNU Lesser General Public License

    Copyrights:


	Pthreads-win32 - POSIX Threads Library for Win32

	Copyright(C) 1998 John E. Bossom

	Copyright(C) 1999,2002 Pthreads-win32 contributors


	The current list of contributors is contained

        in the file CONTRIBUTORS included with the source

	code distribution. The current list of CONTRIBUTORS

	can also be seen at the following WWW location:

        http://sources.redhat.com/pthreads-win32/contributors.html


	Contact Email: rpj@ise.canberra.edu.au


    These files are not covered under one of the Copyrights listed above:


            COPYING

	    COPYING.LIB

            tests/rwlock7.c


    This file, COPYING, is distributed under the Copyright found at the

    top of this file.  It is important to note that you may distribute

    verbatim copies of this file but you may not modify this file.


    The file COPYING.LIB, which contains a copy of the version 2.1

    GNU Lesser General Public License, is itself copyrighted by the

    Free Software Foundation, Inc.  Please note that the Free Software

    Foundation, Inc. does NOT have a copyright over Pthreads-win32,

    only the COPYING.LIB that is supplied with pthreads-win32.


    The file tests/rwlock7.c is derived from code written by

    Dave Butenhof for his book 'Programming With POSIX(R) Threads'.

    The original code was obtained by free download from his website

    http://home.earthlink.net/~anneart/family/Threads/source.html

    and did not contain a copyright or author notice. It is assumed to

    be freely distributable.


    In all cases one may use and distribute these exception files freely.

    And because one may freely distribute the LGPL covered files, the

    entire pthreads-win32 source may be freely used and distributed.




General Copyleft and License info

---------------------------------


    For general information on Copylefts, see:


	http://www.gnu.org/copyleft/


    For information on GNU Lesser General Public Licenses, see:


	http://www.gnu.org/copyleft/lesser.html

	http://www.gnu.org/copyleft/lesser.txt



Why pthreads-win32 did not use the GNU General Public License

-------------------------------------------------------------


    The goal of the pthreads-win32 project has been to

    provide a quality and complete implementation of the POSIX

    threads API for Microsoft Windows within the limits imposed

    by virtue of it being a stand-alone library and not

    linked directly to other POSIX compliant libraries. For

    example, some functions and features, such as those based

    on POSIX signals, are missing.


    Pthreads-win32 is a library, available in several different

    versions depending on supported compilers, and may be used

    as a dynamically linked module or a statically linked set of

    binary modules. It is not an application on it's own.


    It was fully intended that pthreads-win32 be usable with

    commercial software not covered by either the GPL or the LGPL

    licenses. Pthreads-win32 has many contributors to it's

    code base, many of whom have done so because they have

    used the library in commercial or proprietry software

    projects.


    Releasing pthreads-win32 under the LGPL ensures that the

    library can be used widely, while at the same time ensures

    that bug fixes and improvements to the pthreads-win32 code

    itself is returned to benefit all current and future users

    of the library.


    Although pthreads-win32 makes it possible for applications

    that use POSIX threads to be ported to Win32 platforms, the

    broader goal of the project is to encourage the use of open

    standards, and in particular, to make it just a little easier

    for developers writing Win32 applications to consider

    widening the potential market for their products.
