Verzeichnis macros/plain/contrib/xintsession
xintsession README
Release: 0.4alpha (2021-11-01)
Usage
xintsession.tex is to be used with etex (or pdftex or the other engines with Plain as preloaded format) interactively on the command line.
It will load xintexpr and polexpr.
To start a session:
- Execute
etex xintsession
, - An
>>>
invite appears, and computations can begin!
Start entering input, terminate it via a semi-colon;
. Say&help
for help and&bye
to quit.
In more details: if available at your locale use rlwrap etex xintsession
to benefit from arrow keys navigation and other improvements such as parentheses highlighting. Alternatively, execute rlwrap etex
and enter xintsession
at the **
prompt.
One can also use the -jobname
option of etex
at this step.
At my locale I added alias xs="rlwrap etex xintsession"
to my .bashrc
so I only have to type xs
at the command line.
The above explanations have been tested on a Unixen (Mac OS), and probably rlwrap
is not available on all platforms, but it is not a requirement.
Here is a sample session (spaces do not matter):
>>> 1+1/2+1/3+1/4+1/5; @_1 137/60 >>> @_^3; @_2 2571353/216000 >>> add(1/i, i=1..50); @_3 13943237577224054960759/3099044504245996706400 >>> &fp fp mode (16 digits) >>> @_; @_4 4.499205338329425 >>> add(1/i, i=1..1000); @_5 7.485470860550346 >>> &pol pol mode (i.e. function definitions use \poldef) >>> P(x):=(x-0.1)^3 (x+1.8)^2 (x^10 - (100x-1)^2);
P = x^15+33*x^14/10+219*x^13/100-865*x^12/1000+936*x^11/10000-324*x^10/100000-1 0000*x^7-328000*x^6/10-2124100*x^5/100+9084700*x^4/1000-11111900*x^3/10000+5198 500*x^2/100000-74160*x/100000+324/100000 --> &GenFloat(P) lets P become usable as function in fp mode --> &ROOTS(P) (resp. &ROOTS(P,N)) finds all rational roots exactly and all irrational roots with at least 10 (resp. N) fractional digits >>> &ROOTS(P,30) Solving for real roots of P and assigning them (please wait...) (mult. 1) RootP_1 = -3.164772734675337090200909653480... (mult. 2) RootP_2 = -1.8 (mult. 1) RootP_3 = 0.009999999999000000000499999999... (mult. 1) RootP_4 = 0.010000000001000000000500000000... (mult. 3) RootP_5 = 0.1 (mult. 1) RootP_6 = 3.159772703424837079727026834533... Square-free irrational part: x^10-10000*x^2+200*x-1 --> &REFINEROOTS(P,N) to extend real irr. roots to N fractional digits >>> &bye Did I say something wrong? Session transcript written on xintsession-211101_18h17.tex ) No pages of output. Transcript written on xintsession.log.
As this example illustrates, the computational engine can work in various modes: exact, fp, int, and pol (the &ROOTS()
will work in any mode the same once the polynomial as been defined in pol mode). Say &fp=number
at the >>>
prompt to activate floating point mode with number
digits of precision.
If ill-formed input drops you deep into TeX error interaction mode, try hitting S
as it may work to bring you back to normal session.
For additional explanations, enter &help
at the >>>
prompt.
Change log
- 0.4alpha (2021-11-01)
- add
&GenFloat
interface to\PolGenFloatVariant
- add
&ROOTS
and&REFINEROOTS
interface to under-the-hood usage of the polexpr facilities allowing to get all real roots of the given polynomial to arbitrary precision (and all rational roots exactly)
- add
- 0.3b (2021-07-01)
- fix output still uses
(@_<n>)
when a variable is defined but the parentheses were dropped a while ago in general
- fix output still uses
- 0.3a (2021-06-08)
- fix extremely weird
0.3
breakage of user function definition interface, caused by last line being\endinput\xintsession
, and the latter using\scantokens
in certain circumstances - fix extra
(
in a help panel
- fix extremely weird
- 0.3 (2021-05-31)
- implement
>>>
primary and...
secondary invite prompts - breaking: rename
\xintresume
into\xintsession
- implement
- 0.2b (2021-05-23)
- use
\errorcontextlines=0
regime (if not paused) - load
xintexpr
with\newlinechar
set to10
to activate nicer error messages coming withxintexpr 1.4g
- add help panel navigation via
n
,p
,q
and1
, ...,5
- fix catcode of @ was set to letter
- fix version was not updated to
0.2a
in banner - fix some spaces in help and welcome panels
- use
- 0.2a (2021-05-06)
- fix help panels mentioning topics obsoleted by
xintexpr 1.4f
- fix help panels mentioning topics obsoleted by
- 0.2 (2021-05-05)
- fix typos in help panels, improve welcome panel
- fix "can't send
\par
to background typesetting" - track
xintexpr 1.4f
- add
&fp=N
parameterized floating point mode interface
- 0.1 (2021-04-13) Initial release
License
Copyright (c) 2021 Jean-François Burnol
See documentation of package xintexpr for contact information.
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-François Burnol.
This Work consists of the package files xintsession.tex and README.md
Herunterladen des vollständigen Inhalts dieses Pakets in einem Zip-Archiv (9.5k).
xintsession – Interactive computing sessions (fractions, floating points, polynomials)
This package provides support for interactive computing sessions with etex (or pdftex) executed on the command line, on the basis of the xintexpr and polexpr packages.
Once xintsession is loaded, ε-TeX becomes an interactive computing software capable of executing arbitrary precision calculations, or exact calculations with arbitrarily big fractions. It can also manipulate polynomials as algebraic entities.
Numerical variables and functions can be defined during the session, and each evaluation result is stored in automatically labeled variables. A file is automatically created storing inputs and outputs.
Paket | xintsession |
Version | 0.4alpha 2021-11-01 |
Lizenzen | The LaTeX Project Public License 1.3c |
Copyright | 2021 Jean-François Burnol |
Betreuer | Jean-François Burnol |
Enthalten in | TeX Live als xintsession MiKTeX als xintsession |
Themen | Kalkulationen Mathematik |