NAME
Math::Symbolic::Custom::DefaultTests - Default Math::Symbolic tree tests
SYNOPSIS
use Math::Symbolic;DESCRIPTION
This is a class of default tests for Math::Symbolic trees. Likewise, Math::Symbolic::Custom::DefaultMods defines default tree transformation routines. For details on how the custom method delegation model works, please have a look at the Math::Symbolic::Custom and Math::Symbolic::Custom::Base classes.
EXPORT
Please see the docs for Math::Symbolic::Custom::Base for details, but you should not try to use the standard Exporter semantics with this class.
SUBROUTINES
is_integer()
is_integer() returns a boolean.
It returns true (1) if the tree is a constant object representing an integer value. It does not compute the value of the tree. (eg. '5*10' is not considered an integer, but '50' is.)
It returns false (0) otherwise.
is_simple_constant()
is_simple_constant() returns a boolean.
It returns true (1) if the tree consists of only constants and operators. As opposed to is_constant(), is_simple_constant() does not apply derivatives if necessary.
It returns false (0) otherwise.
is_constant()
is_constant() returns a boolean.
It returns true (1) if the tree consists of only constants and operators or if it becomes a tree of only constants and operators after application of derivatives.
It returns false (0) otherwise.
If you need not pay the price of applying derivatives, you should use the is_simple_constant() method instead.
is_identical()
is_identical() returns a boolean.
It compares the tree it is called on to its first argument.
is_identical() returns true (1) if the trees are completely identical. That includes operands of commutating operators having the same order, etc. This does not test of mathematical equivalence! (Which is much, much harder to test for. If you know how to, please let me know!)
It returns false (0) otherwise.
is_sum()
(beta)
is_constant() returns a boolean.
It returns true (1) if the tree contains no variables (because it can then be evaluated to a single constant which is a sum). It also returns true if it is a sum or difference of constants and variables. Furthermore, it is true for products of integers and constants because those products are really sums of variables. If none of the above cases match, it applies all derivatives and tries again.
It returns false (0) otherwise.
Please contact the author in case you encounter bugs in the specs or implementation. The heuristics aren't all that great.
AUTHOR
Steffen Mueller, <symbolic-module at steffen-mueller dot net>
New versions of this module can be found on http://steffen-mueller.net or CPAN.
SEE ALSO
Math::Symbolic::Custom Math::Symbolic::Custom::DefaultMods Math::Symbolic