    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, as here.

    The GNU MP 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 General Public License
    for more details.

    You should have received copies of the GNU General Public License and the
    GNU Lesser General Public License along with the GNU MP Library.  If not,
    see https://www.gnu.org/licenses/.

    			THE GNU MP LIBRARY

    GNU MP is a library for arbitrary precision arithmetic, operating on signed
    integers, rational numbers, and floating point numbers.  It has a rich set of
    functions, and the functions have a regular interface.

    GNU MP is designed to be as fast as possible, both for small operands and huge
    operands.  The speed is achieved by using fullwords as the basic arithmetic
    type, by using fast algorithms, with carefully optimized assembly code for the
    most common inner loops for lots of CPUs, and by a general emphasis on speed
    (instead of simplicity or elegance).

    GNU MP is believed to be faster than any other similar library.  Its advantage
    increases with operand sizes for certain operations, since GNU MP in many
    cases has asymptotically faster algorithms.

    GNU MP is free software and may be freely copied on the terms contained in the
    files COPYING* (see the manual for information on which license(s) applies to
    which components of GNU MP).

    			OVERVIEW OF GNU MP

    There are four classes of functions in GNU MP.

     1. Signed integer arithmetic functions (mpz).  These functions are intended
        to be easy to use, with their regular interface.  The associated type is
        `mpz_t'.

     2. Rational arithmetic functions (mpq).  For now, just a small set of
        functions necessary for basic rational arithmetics.  The associated type
        is `mpq_t'.

     3. Floating-point arithmetic functions (mpf).  If the C type `double'
        doesn't give enough precision for your application, declare your
        variables as `mpf_t' instead, set the precision to any number desired,
        and call the functions in the mpf class for the arithmetic operations.

     4. Positive-integer, hard-to-use, very low overhead functions are in the
        mpn class.  No memory management is performed.  The caller must ensure
        enough space is available for the results.  The set of functions is not
        regular, nor is the calling interface.  These functions accept input
        arguments in the form of pairs consisting of a pointer to the least
        significant word, and an integral size telling how many limbs (= words)
        the pointer points to.

        Almost all calculations, in the entire package, are made by calling these
        low-level functions.

    For more information on how to use GNU MP, please refer to the documentation.
    It is composed from the file doc/gmp.texi, and can be displayed on the screen
    or printed.  How to do that, as well how to build the library, is described in
    the INSTALL file in this directory.

    			REPORTING BUGS

    If you find a bug in the library, please make sure to tell us about it!

    You should first check the GNU MP web pages at https://gmplib.org/, under
    "Status of the current release".  There will be patches for all known serious
    bugs there.

    Report bugs to gmp-bugs@gmplib.org.  What information is needed in a useful bug
    report is described in the manual.  The same address can be used for suggesting
    modifications and enhancements.

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