Name Last modified Size Description

Parent Directory - CHANGES.html 06-Apr-2019 21:03 91K CHANGES.pdf 06-Apr-2019 21:03 102K Makefile 29-Feb-2016 12:54 655 sourcexint.pdf 06-Apr-2019 21:02 898K xint.dtx 06-Apr-2019 21:02 1.5M xint.pdf 06-Apr-2019 21:02 964K

2019/04/05

```
Source: xint.dtx 1.3e 2019/04/05 (doc 2019/04/05)
Author: Jean-Francois Burnol
Info: Expandable operations on big integers, decimals, fractions
License: LPPL 1.3e
```

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
->3.63692761822782679930738270515740797370813691938e8095
```

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

Square-root and the four operations achieve correct rounding in the given arbitrary precision.

Trigonometric functions (direct and inverse) are available with a maximal precision of 60 digits.

Logarithms and exponentials are available using the poormanlog package which provides only 8 or 9 digits of precision. This will be increased in future.

It is possible to use the package both with Plain (`\input xintexpr.sty`

) or with LaTeX (`\usepackage{xintexpr}`

).

```
\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
```

The `xinttrig`

and `xintlog`

packages are loaded automatically by `xintexpr`

and will refuse to be loaded directly.

Further packages: `xintbinhex`

, `xintgcd`

, `xintseries`

and `xintcfrac`

.

Main dependencies are handled automatically. For example `xintexpr`

automatically loads `xinttools`

and `xintfrac`

(which itself loads `xint`

). Hexadecimal input requires explicit loading of `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 customized.

The LaTeX package polexpr is based upon `xintexpr`

and allows formal algebra with polynomials, and finding all real roots with arbitrary precision.

One does for example:

`\input xintexpr.sty`

This will automatically load `xintfrac.sty`

, `xinttrig.sty`

, `xintlog.sty`

and `xinttools.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.

`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.

`xint.tds.zip`

and `unzip`

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

obtain

`xint.tds.zip`

from CTAN: http://mirror.ctan.org/install/macros/generic/xint.tds.zipcd to the download repertory and issue:

`unzip xint.tds.zip -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 xint.tds.zip -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 texhash):

`unzip xint.tds.zip -d ~/Library/texmf`

`Makefile`

and `xint.dtx`

The Makefile automatizes rebuilding from `xint.dtx`

all documentation files as well as `xint.tds.zip`

. 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.

obtain

`xint.dtx`

and`Makefile`

from http://mirror.ctan.org/macros/generic/xint.put them in an otherwise empty working repertory, run

`make`

or equivalently`make help`

for further instructions.

`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 `Makefile.mk`

. If you are on a GNU/Linux-type system, rename the file to `Makefile`

and execute `make`

on command line for further help. If you can’t use `make`

read the contents of the `Makefile`

for instructions.

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, README.md,…) goes to

`TDS:doc/generic/xint/`

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, xinttrig.sty, xintlog.sty, xintbinhex.sty, xintgcd.sty, xintseries.sty, xintcfrac.sty, xinttools.sty, xint.ins, xint.tex, README, README.md, README.html, README.pdf, CHANGES.md, CHANGES.html, CHANGES.pdf, pandoctpl.latex, doHTMLs.sh, doPDFs.sh, xint.dvi, xint.pdf, and Makefile.mk.