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- Source: xint.dtx 1.3f 2019/09/10 (doc 2019/09/10)
- Author: Jean-Francois Burnol
- Info: Expandable operations on big integers, decimals, fractions
- License: LPPL 1.3f
-
-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 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.
-
-
-
-USAGE
-
-
-It is possible to use the package both with Plain (\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
-
-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.
-
-
-With TeX
-
-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.
-
-
-
-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 <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
-
-
-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. The Latexmk and
-Pandoc softwares are required to build all the documentation.
-
-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 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.
-
-
-
-LICENSE
-
-
-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
-
- 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,
-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.