README: Math::Algebra::Symbols
Symbolic Algebra in Pure Perl
This package supplies a set of functions and operators to manipulate
Perl expressions algebraically:
Example symbols.pl
#!perl -w -I..
#______________________________________________________________________
# Symbolic algebra.
# Perl License.
# PhilipRBrenan@yahoo.com, 2004.
#______________________________________________________________________
use Math::Algebra::Symbols hyper=>1;
use Test::Simple tests=>5;
($n, $x, $y) = symbols(qw(n x y));
$a += ($x**8 - 1)/($x-1);
$b += sin($x)**2 + cos($x)**2;
$c += (sin($n*$x) + cos($n*$x))->d->d->d->d / (sin($n*$x)+cos($n*$x));
$d = tanh($x+$y) == (tanh($x)+tanh($y))/(1+tanh($x)*tanh($y));
($e,$f) = @{($x**2 eq 5*$x-6) > $x};
print "$a\n$b\n$c\n$d\n$e,$f\n";
ok("$a" eq '$x+$x**2+$x**3+$x**4+$x**5+$x**6+$x**7+1');
ok("$b" eq '1');
ok("$c" eq '$n**4');
ok("$d" eq '1');
ok("$e,$f" eq '2,3');
This program is free software; you can redistribute it and/or modify it
under the same terms as Perl itself.
INSTALL
This is alpha code. It is written in pure Perl. It uses the standard
Perl install mechanism.
Download from CPAN, untar and:
perl Makefile.PL
make
make test
make install
If you are on Windows, use nmake, available at:
http://download.microsoft.com/download/vc15/Patch/1.52/W95/EN-US/Nmake15
.exe
Following the excellent work done by Steffen Müller (CPAN Author:
SMUELLER), I believe that we should try to capture all known Mathematics
symbolically in Perl. Indeed, can you say that you know any Mathematics
at all if you cannot explain it in Pure Perl?
For bug reports or suggestions please send email to:
philiprbrenan@yahoo.com
TO DO
Help with this project would be appreciated:
Allow substitution and solution for simple expressions like
miles/gallon.
Recognize sin, cos, sinh, cosh etc. in expressions involving exp.
Sigma,Product
Taylor series
Integrals
Fourier
Laplace
Groups
Sets
Graphing using Tk.
normalizeSqrts(), see t/polynomial.t