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# Manual Reference Pages  -  MATH::SYMBOLIC::CUSTOM::DEFAULTMODS (3)

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### NAME

Math::Symbolic::Custom::DefaultMods - Default Math::Symbolic transformations

### SYNOPSIS

```

use Math::Symbolic;

```

### DESCRIPTION

This is a class of default transformations for Math::Symbolic trees. Likewise, Math::Symbolic::Custom::DefaultTests defines default tree testing 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

#### apply_derivatives()

Never modifies the tree in-place, but returns a modified copy of the original tree instead.

Applied to variables and constants, this method just clones.

Applied to operators and if the operator is a derivative, this applies the derivative to the derivative’s first operand.

Regardless what kind of operator this is called on, apply_derivatives will be applied recursively on its operands.

If the first parameter to this function is an integer, at maximum that number of derivatives are applied (from top down the tree if possible).

#### apply_constant_fold()

Does not modify the tree in-place by default, but returns a modified copy of the original tree instead. If the first argument is true, the tree will not be cloned. If it is false or not existant, the tree will be cloned.

Applied to variables and constants, this method just clones.

Applied to operators, all tree segments that contain constants and operators only will be replaced with Constant objects.

Given a constant (object or number) as argument, this method tries hard to fold it into an existing constant of the object this is called on is already a sum or a difference.

Basically, this is the same as \$tree + \$constant but does some simplification.

#### mod_multiply_constant

Given a constant (object or number) as argument, this method tries hard to fold it into an existing constant of the object this is called on is already a product or a division.

Basically, this is the same as \$tree * \$constant but does some simplification.

### AUTHOR

Please send feedback, bug reports, and support requests to the Math::Symbolic support mailing list: math-symbolic-support at lists dot sourceforge dot net. Please consider letting us know how you use Math::Symbolic. Thank you.

If you’re interested in helping with the development or extending the module’s functionality, please contact the developers’ mailing list: math-symbolic-develop at lists dot sourceforge dot net.

List of contributors:

```

Steffen MXller, symbolic-module at steffen-mueller dot net
Stray Toaster, mwk at users dot sourceforge dot net
Oliver EbenhXh

```