Math::NumSeq::Expression -- mathematical expression values
use Math::NumSeq::Expression; my $seq = Math::NumSeq::Expression->new (expression => '2*i+1'); my ($i, $value) = $seq->next;
A string expression evaluated at i=0, 1, 2, etc, by Perl or a choice of evaluator modules.
This is designed to take expression strings from user input though could be used for something quick from program code too. The expression syntax in the evaluator modules varies in subtle ways.
The default expression_evaluator => 'Perl'
evaluates with Perl itself. This is always available. Expressions are run with the Safe
module to restrict to arithmetic (see Safe).
The i index is in a $i
variable and an i()
function. The i()
function is prototyped like a constant.
i+1 2*$i - 2
The functions made available include
atan2 sin cos exp log \ Perl builtins sqrt rand / min max List::Util floor ceil POSIX module cbrt hypot erf erfc expm1 \ j0 j1 jn lgamma_r log10 | Math::Libm log1p pow rint y0 y1 yn / tan asin acos atan \ csc cosec sec cot cotan | Math::Trig acsc acosec asec acot acotan | sinh cosh tanh | csch cosech sech coth cotanh | asinh acosh atanh | acsch acosech asech acoth acotanh /
expression_evaluator => 'MS'
selects the Math::Symbolic
module, if available.
The expression is parsed with Math::Symbolic->parse_from_string()
and should use a single variable for the i index in the sequence. The variable can be any name, not just "i"
2*i+1 x^2 + x + 1 # any single variable
The usual $ms->simplify()
is applied to perhaps reduce the expression a bit, then to_sub()
for actual evaluation.
expression_evaluator => 'MEE'
selects the Math::Expression::Evaluator
module, if available.
The expression should use a single input variable, which can be any name, and takes the i index in the sequence. Temporary variables can be used by assigning to them,
x^2 + x + 1 # any single variable t=2*i; t^2 # temporary variables assigned
The expression is run with $mee->compiled()
. It turns the expression into a Perl subr for actual evaluation.
expression_evaluator => 'LE'
selects the Language::Expr
module, if available.
The expression should use a single variable, of any name, which will be the i index in the sequence. See Language::Expr::Manual::Syntax for the expression syntax.
$x*$x + $x + 1
The expression is compiled with Language::Expr::Compiler::perl for evaluation.
See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence classes.
$seq = Math::NumSeq::Expression->new (expression => $str)
Create and return a new sequence object.
$value = $seq->ith($i)
Return the expression
evaluated at $i
.
Safe.pm
seems a bit of a slowdown. Is that right or is it supposed to validate ops during the eval which compiles a subr?
Math::NumSeq, Safe Math::Symbolic, Math::Expression::Evaluator, Language::Expr
http://user42.tuxfamily.org/math-numseq/index.html
Copyright 2010, 2011, 2012, 2013, 2014, 2016 Kevin Ryde
Math-NumSeq is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3, or (at your option) any later version.
Math-NumSeq is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.
You should have received a copy of the GNU General Public License along with Math-NumSeq. If not, see <http://www.gnu.org/licenses/>.