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[Jacal-discuss] JACAL release jacal-1c6 available

From: Aubrey Jaffer
Subject: [Jacal-discuss] JACAL release jacal-1c6 available
Date: Sun, 16 Feb 2020 11:15:30 -0500

This message announces the availability of JACAL release jacal-1c6.

JACAL is an interactive symbolic mathematics program.  JACAL can
manipulate and simplify equations, scalars, vectors, and matrices of
single and multiple valued algebraic expressions containing numbers,
variables, radicals, and algebraic differential, and holonomic

JACAL is written in Scheme and works with Scheme implementations which
support the SLIB Scheme Library.  The SCM Scheme implementation
(written in C) is available with JACAL.  SCM runs on Amiga, Atari-ST,
MacOS, MS-DOS, OS/2, NOS/VE, Unicos, VMS, Windows, Unix and similar

JACAL is free software and part of the GNU project.  It is released
under the GNU General Public License (GPL).

Documentation and distributions in several formats are linked from
JACAL's home page:


Links to distributions of JACAL and related softwares are at the end
of this message.

jacal-1c6 news:

jacal-1c6 now does integration of rational functions whose integrals
are rational functions.  It will be extended to radicals involving the
integration variable.  The integration algorithm is documented in

Many bugs have been fixed.  Details at

  * anti-diff.scm, builtin.scm: (integrate): Evaluate integral at
  definite limits.
  (rat:integrate): Removed special treatment for M = 0.
  * t.math, test.math: Added integration test cases.
  * jacal.texi (Calculus): Integration section added.
  * DOC/ratint.tex, anti-diff.scm: Algorithm simplified to use only
  square-free factorization.
  * DOC/ratint.tex, anti-diff.scm, t.math: Integration works!
  * anti-diff.scm (rat:integrate, integrate): Reorganized code for
  splitting unsquared factors in numerator.
  * anti-diff.scm: Works for many cases.  p_2(x) not handled yet.
  (rat:integrate): Fixed off-by-one.  Fixed powfacts argument.
  (sqfr-splits): Fixed constant return.
  (rat:integrate): Corrected powers of M+.
  (poly:integrate): univ:demote corrects for variable ordering.
  (integrate): Call poly:integrate when denominator independent of
  integration variable.
  * DOC/ratint.tex: Both p_1(x) and p_2(x) require special treatment.
  * Makefile, anti-diff.scm, builtin.scm, jacalcat, vect.scm:
  (anti-diff.scm): Added.
  * DOC/ratint.tex: Revised algorithm to extract p_1(x).
  * jacalcat, anti-diff.scm, builtin.scm: Developing indefinite
  * English.scm (prec:prefix): Corrected '^-' binding power.
  * types.scm (sexp->new-var): Handle differential shadow-var.
  * test.math: Added radical test case.
  * ext.scm (alg:clear-leading-exts): Overly cautious check removed.
  (alg:conjugate): fixed (a/4)^(1/2) and ((4/a)^(1/3))^3.
  * ext.scm (alg:clear-leading-exts): Renamed from
  alg:clear-denom; extended to all implicits.


JACAL is available from:
Also available as RPM:

SLIB is a portable scheme library which JACAL requires:
Also available as RPM:
Also available as MS-Windows installer:

SCM is a small Scheme implementation under which JACAL will run.
SCM source is available from:
Also available as a binary RPM:
Also available as MS-Windows installer:

Programs for printing and viewing TexInfo documentation (which JACAL
has) come with GNU Emacs or can be obtained via ftp from:

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