Index of /macros/generic/xint
      Name                    Last modified       Size  Description

[DIR] Parent Directory 10-Mar-2019 06:43 - [TXT] CHANGES.html 07-Jan-2019 04:06 88k [   ] CHANGES.pdf 07-Jan-2019 04:06 99k [   ] Makefile 29-Feb-2016 22:54 1k [   ] sourcexint.pdf 07-Jan-2019 04:06 1.5M [   ] xint.dtx 07-Jan-2019 04:00 1.4M [   ] xint.ins 07-Jan-2019 04:05 3k [   ] xint.pdf 07-Jan-2019 04:05 910k

    Source:  xint.dtx 1.3d 2019/01/06 (doc 2019/01/06)
    Author:  Jean-Francois Burnol
    Info:    Expandable operations on big integers, decimals, fractions
    License: LPPL 1.3d

This README is also available as README.pdf and README.html.

Change log is to be found in CHANGES.pdf or CHANGES.html.

The user manual is xint.pdf, and the commented source code is available
as sourcexint.pdf.


The basic aim is provide _expandable_ computations on integers,
fractions, and floating point numbers. For example

    \xinttheexpr reduce(37189719/183618963+11390170/17310720)^17\relax

will evaluate exactly the fraction; the result has 462 characters
(including the fraction slash.) One can also work with dummy variables:

    \xinttheexpr mul(add(x(x+1)(x+2), x=y..y+15), y=171286,98762,9296)\relax

evaluates to 15979066346135829902328007959448563667099190784.

Float computations are possible at an adjustable precision (default 16).

    \xintDigits:=48;\xintthefloatexpr 123_456_789^1_000.5\relax

(as this example shows the underscore character can be used to separate
visually digits, one can also use the space character for that purpose).

Currently, only integer and half-integer exponents are allowed for the
power operation in expressions and only the square-root operation is
implemented besides the four arithmetic operations. Square-root and the
four operations achieve correct rounding in the given arbitrary


It is possible to use the package with Plain (using for example
\input xintexpr.sty) or with LaTeX (\usepackage{xintexpr}).

With LaTeX

    \usepackage{xint}       % expandable arithmetic with big integers
    \usepackage{xintfrac}   % decimal numbers, fractions, floats
    \usepackage{xinttools}  % expandable and non expandable loops
    \usepackage{xintexpr}   % expressions with infix operators

Further packages: xintbinhex, xintgcd, xintseries and xintcfrac.

Main dependencies are handled automatically. For example xintexpr
automatically loads xinttools and xintfrac (which itself loads xint).
But the gcd()/lcm() functions require extra loading of xintgcd and
hexadecimal input requires xintbinhex.

Package xintcore is the subset of xint providing only the five
operations on big integers: \xintiiAdd, \xintiiMul, …

The LaTeX package bnumexpr defines a more light-weight parser of
arithmetical expressions using big integers, which supports only the
four operations, the modulo operation, the power operation, and the
factorial. By default it uses the macros from xintcore but this can be

With TeX

One does for example:

    \input xintexpr.sty

The packages may be loaded in any catcode context such that letters,
digits, \ and % have their standard catcodes.

xintcore.sty and xinttools.sty both import xintkernel.sty which has the
catcode handler and package identifier and defines a few utilities such
as \oodef/\fdef, \xint_dothis/\xint_orthat, or \xintLength.

Since 1.3b, xintkernel.sty also provides \xintUniformDeviate which is a
wrapper of the engine \pdfuniformdeviate or \uniformdeviate done to
guarantee more uniformity of the pseudo-random integers. This is used by
xintexpr.sty for implementing random() and randrange() functions.


Method A: using the package manager of your TeX distribution

xint is included in TeXLive (hence also MacTeX) and MikTeX.

There can be a few days of delay between apparition of a new version on
CTAN and availability via the distribution package manager.

Method B: manual installation using and unzip

Assumes a GNU/Linux-like system (or Mac OS X).

1.  obtain from CTAN:

2.  cd to the download repertory and issue:

         unzip -d <TEXMF>

    where <TEXMF> is a suitable TDS-compliant destination repertory. For
    example, with TeXLive:

    -   Linux, standard access rights, hence sudo is needed,
        installation into the “local” tree:

              sudo unzip -d /usr/local/texlive/texmf-local
              sudo texhash /usr/local/texlive/texmf-local

    -   Mac OS X, installation into user home folder (no sudo needed,
        and it is recommended to not have a ls-R file there, hence no

              unzip -d  ~/Library/texmf

Method C: manual installation using Makefile and xint.dtx

The Makefile automatizes rebuilding from xint.dtx all documentation
files as well as It is for GNU/Linux-like (inc. Mac OS X)
systems, with a teTeX like installation such as TeXLive. The Latexmk and
Pandoc softwares are required to build all the documentation.

1.  obtain xint.dtx and Makefile from

2.  put them in an otherwise empty working repertory, run make or
    equivalently make help for further instructions.

Method D: installation starting with only xint.dtx

Run etex xint.dtx to extract from xint.dtx all macro files as well as
auxiliary files needed for building the documentation. Among them there
is If you are on a GNU/Linux-type system, rename the file
to Makefile and execute make on command line for further help. If not,
you will need to examine the contents of this file to see the commands
needed to produce the documentation with latexmk (extraction will have
created a configuration file .latexmkrc) and pandoc. If not using
latexmk, you will need to execute suitable makeindex -s
calls to produce the indices of macros for inclusion into
sourcexint.pdf. It is also possible to get xint.pdf to include the
source code. For this, see the instructions in xint.tex.

Finishing the installation in a TDS hierarchy:

-   move the style files to TDS:tex/generic/xint/

-   xint.dtx goes to TDS:source/generic/xint/

-   The documentation (xint.pdf,,…) goes to

Depending on the destination, it may then be necessary to refresh a
filename database.


Copyright (C) 2013-2019 by Jean-Francois Burnol

This Work may be distributed and/or modified under the conditions of the
LaTeX Project Public License version 1.3c. This version of this license
is in

and version 1.3 or later is part of all distributions of LaTeX version
2005/12/01 or later.

This Work has the LPPL maintenance status author-maintained.

The Author of this Work is Jean-Francois Burnol.

This Work consists of the source file xint.dtx and of its derived files:
xintkernel.sty, xintcore.sty, xint.sty, xintfrac.sty, xintexpr.sty,
xintbinhex.sty, xintgcd.sty, xintseries.sty, xintcfrac.sty,
xinttools.sty, xint.ins, xint.tex, README,, README.html,
README.pdf,, CHANGES.html, CHANGES.pdf, pandoctpl.latex,,, xint.dvi, xint.pdf,,,
and .latexmkrc.