Source: xint.dtx 1.2k 2017/01/06 (doc 2017/01/06)
Author: Jean-Francois Burnol
Info: Expandable operations on big integers, decimals, fractions
License: LPPL 1.3c
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.
AIM
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 123456789^1000.5\relax
->3.63692761822782679930738270515740797370813691938e8095
However, only integer and half-integer exponents are currently allowed.
The sqrt operation achieves correct rounding in arbitrary precision.
It is possible to use the package with Plain as well as with LaTeX.
Sub-units xintcore, xint and xintfrac provide the underlying macros, and
xintexpr loads all of them and provides expandable parsers allowing
computations such as the above (and more).
A more light-weight (LaTeX only) package bnumexpr loads only xintcore
and provides a parser which handles only big integers, the four
operations, the power operation and the factorial.
USAGE
With LaTeX
\usepackage{xint} % expandable arithmetic with big integers
\usepackage{xintfrac} % decimal numbers, fractions, floats
\usepackage{xintexpr} % expressions with infix operators
Further packages: xintbinhex, xintgcd, xintseries and xintcfrac. All
dependencies are handled automatically. For example xintexpr
automatically loads xintfrac which itself loads xint. Package xintcore
is the subset of xint providing only the five operations on big
integers: \xintiiAdd, \xintiiMul, ... There is also xinttools which is a
separate package providing, among others, expandable and non-expandable
loops such as \xintFor.
With TeX
One does for example:
\input xintexpr.sty
All dependencies are handled automatically. 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, or \xint_dothis/\xint_orthat.
INSTALLATION
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 xint.tds.zip and unzip
Assumes a GNU/Linux-like system (or Mac OS X).
1. obtain xint.tds.zip from CTAN:
http://mirror.ctan.org/install/macros/generic/xint.tds.zip
2. cd to the download repertory and issue:
unzip xint.tds.zip -d
where 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
Method C: manual installation using 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. Furthermore the
Pandoc software is required.
1. obtain xint.dtx and Makefile from
http://mirror.ctan.org/macros/generic/xint.
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 "tex xint.dtx" or "etex xint.dtx" to extract from xint.dtx all
packages as well as these files:
README.md
the current README with Markdown formatting.
CHANGES.md
the changes across successive releases.
xint.tex
used to generate xint.pdf via "latex xint.tex" (thrice) then
"dvipdfmx xint.dvi". It is also possible to compile xint.tex with
xelatex, or with pdflatex (this latter option produces a
bigger pdf).
For successful compilation, packages newtxtt, newtxmath, etoc,
mathastext are needed. Inclusion of the source code is off by
default, but the toggle can be set in xint.tex.
A third option is to generate xint.pdf via xelatex xint.dtx or
pdflatex xint.dtx. Source code is then included by default (but some
code comments in French use 8bit characters, hence for xelatex an a
priori conversion of xint.dtx into utf-8 will give a better result).
Makefile.mk
this is for UNIX-like systems. Note: this file is only produced with
"etex xint.dtx", not with "tex xint.dtx". Rename it to Makefile and
run make on the command line for further help.
doHTMLs.sh and doPDFs.sh
these are scripts (for UNIX-like systems) which can be used to
convert the README.md and CHANGES.md to HTML and PDF formats. They
require Pandoc.
pandoctpl.latex
a Pandoc template used by doPDFs.sh.
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.
LICENSE
Copyright (C) 2013-2017 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
http://www.latex-project.org/lppl/lppl-1-3c.txt
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.md, README.html,
README.pdf, CHANGES.md, CHANGES.html, CHANGES.pdf, pandoctpl.latex,
doHTMLs.sh, doPDFs.sh, xint.dvi, xint.pdf, Makefile.mk.