NAME
Math::Calc::Parser - Parse and evaluate mathematical expressions
SYNOPSIS
use Math::Calc::Parser 'calc';
my $result = calc '2 + 2'; # 4
my $result = calc 'int rand 5'; # Random integer between 0 and 4
my $result = calc 'sqrt -1'; # i
my $result = calc '0xff << 2'; # 1020
my $result = calc '1/0'; # Division by 0 exception
# Class methods
my $result = Math::Calc::Parser->evaluate('2 + 2'); # 4
my $result = Math::Calc::Parser->evaluate('3pi^2'); # 29.608813203268
my $result = Math::Calc::Parser->evaluate('0.7(ln 4)'); # 0.970406052783923
# With more advanced error handling
my $result = Math::Calc::Parser->try_evaluate('rand(abs'); # undef (Mismatched parentheses)
if (defined $result) {
print "Result: $result\n";
} else {
print "Error: $Math::Calc::Parser::ERROR\n";
}
# Or as an object for more control
my $parser = Math::Calc::Parser->new;
$parser->add_functions(triple => { args => 1, code => sub { $_[0]*3 } });
$parser->add_functions(pow => { args => 2, code => sub { $_[0] ** $_[1] });
$parser->add_functions(one => sub { 1 }, two => sub { 2 }, three => sub { 3 });
my $result = $parser->evaluate('2(triple one)'); # 2*(1*3) = 6
my $result = $parser->evaluate('pow(triple two, three)'); # (2*3)^3 = 216
my $result = $parser->try_evaluate('triple triple'); # undef (Malformed expression)
die $parser->error unless defined $result;
$parser->remove_functions('pi', 'e');
$parser->evaluate('3pi'); # Invalid function exception
DESCRIPTION
Math::Calc::Parser is a simplified mathematical expression evaluator with support for complex and trigonometric operations, implicit multiplication, and perlish "parentheses optional" functions, while being safe for arbitrary user input. It parses input strings into a structure based on Reverse Polish notation (RPN), and then evaluates the result. The list of recognized functions may be customized using "add_functions" and "remove_functions".
FUNCTIONS
calc
use Math::Calc::Parser 'calc';
my $result = calc '2+2';
$ perl -MMath::Calc::Parser=calc -E 'say calc "2+2"'
Compact exportable function wrapping "evaluate" for string expressions. Throws an exception on error.
ATTRIBUTES
error
my $result = $parser->try_evaluate('2//');
die $parser->error unless defined $result;
Returns the error message after a failed "try_evaluate".
METHODS
parse
my $parsed = Math::Calc::Parser->parse('5 / e^(i*pi)');
Parses a mathematical expression. Can be called as either an object or class method. On success, returns an array reference representation of the expression in RPN notation which can be passed to "evaluate". Throws an exception on failure.
evaluate
my $result = Math::Calc::Parser->evaluate($parsed);
my $result = Math::Calc::Parser->evaluate('log rand 7');
Evaluates a mathematical expression. Can be called as either an object or class method, and the argument can be either an arrayref from "parse" or a string expression. Returns the result of the expression on success or throws an exception on failure.
try_evaluate
if (defined (my $result = Math::Calc::Parser->evaluate('floor 2.5'))) {
print "Result: $result\n";
} else {
print "Error: $Math::Calc::Parser::ERROR\n";
}
if (defined (my $result = $parser->evaluate('log(5'))) {
print "Result: $result\n";
} else {
print "Error: ".$parser->error."\n";
}
Same as "evaluate" but instead of throwing an exception on failure, returns undef and sets $Math::Calc::Parser::ERROR
to the error message. If called on an object instance, the error can be retrieved using the "error" accessor.
add_functions
$parser->add_functions(
my_function => { args => 5, code => sub { return grep { $_ > 0 } @_; } },
other_function => sub { 20 }
);
Adds functions to be recognized by the parser object. Keys are function names which must start with an alphabetic character and consist only of word characters. Values are either a hashref containing args
and code
keys, or a coderef that is assumed to be a 0-argument function. args
must be an integer greater than or equal to 0
. code
or the passed coderef will be called with the numeric operands passed as parameters, and must either return a numeric result or throw an exception. Non-numeric results will be cast to numbers in the usual perl fashion, and undefined results will throw an evaluation error.
remove_functions
$parser->remove_functions('rand','nonexistent');
Removes functions from the parser object if they exist. Can be used to remove default functions as well as functions previously added with "add_functions".
OPERATORS
Math::Calc::Parser recognizes the following operators with their usual definitions.
+, -, *, /, %, ^, <<, >>
Note: +
and -
can represent a unary operation (negation) in addition to addition and subtraction.
DEFAULT FUNCTIONS
Math::Calc::Parser parses several functions by default, which can be customized using "add_functions" or "remove_functions" on an object instance.
- abs
-
Absolute value.
- acos
- asin
- atan
-
Inverse sine, cosine, and tangent.
- ceil
-
Round up to nearest integer.
- cos
-
Cosine.
- e
-
Euler's number.
- floor
-
Round down to nearest integer.
- i
-
Imaginary unit.
- int
-
Cast (truncate) to integer.
- ln
-
Natural log.
- log
-
Log base 10.
- logn
-
Log with arbitrary base given as second argument.
- pi
-
π
- rand
-
Random value between 0 and 1 (exclusive of 1).
- round
-
Round to nearest integer, with halfway cases rounded away from zero.
- sin
-
Sine.
- sqrt
-
Square root.
- tan
-
Tangent.
CAVEATS
While parentheses are optional for functions with 0 or 1 argument, they are required when a comma is used to separate multiple arguments.
Due to the nature of handling complex numbers, the evaluated result may be a Math::Complex object. These objects can be directly printed or used in numeric operations but may be more difficult to use in comparisons.
Operators and functions that are not defined to operate on complex numbers will return the result of the operation on the real components of their operands. This includes the operators <<
, >>
, and %
, and the functions int
, floor
, ceil
, and round
.
BUGS
Report any issues on the public bugtracker.
AUTHOR
Dan Book, dbook@cpan.org
COPYRIGHT AND LICENSE
Copyright 2015, Dan Book.
This library is free software; you may redistribute it and/or modify it under the terms of the Artistic License version 2.0.