Login or Register to Ask a Question and Join Our Community

Linux and UNIX Man Pages

Linux & Unix Commands - Search Man Pages

math::symbolic::auxfunctions(3pm) [debian man page]

Math::Symbolic::AuxFunctions(3pm)			User Contributed Perl Documentation			 Math::Symbolic::AuxFunctions(3pm)

NAME

       Math::Symbolic::AuxFunctions - Auxiliary functions for Math::Symbolic hierarchy

SYNOPSIS

	 use Math::Symbolic::AuxFunctions;

	 Math::Symbolic::AuxFunctions::acos($x);
	 # etc

DESCRIPTION

       This module contains implementations of some auxiliary functions that are used within the Math::Symbolic hierarchy of modules. In
       particular, this module holds all trigonometric functions used for numeric evaluation of trees by Math::Symbolic::Operator.

   EXPORT
       None. On purpose. If I wished this module would pollute others' namespaces, I'd have put the functions right where they're used.

TRIGONOMETRIC FUNCTIONS

   tan
       Computes the tangent sin(x) / cos(x).

   cot
       Computes the cotangent cos(x) / sin(x).

   asin
       Computes the arc sine asin(z) = -i log(iz + sqrt(1-z*z)).  Above formula is for complex numbers.

   acos
       Computes the arc cosine acos(z) = -i log(z + sqrt(z*z-1)).  Above formula is for complex numbers.

   atan
       Computes the arc tangent atan(z) = i/2 log((i+z) / (i-z)).  Above formula is for complex numbers.

   acot
       Computes the arc cotangent ( atan( 1 / x ) ).

   asinh
       Computes the arc hyperbolic sine asinh(z) = log(z + sqrt(z*z+1))

   acosh
       Computes the arc hyperbolic cosine acosh(z) = log(z + sqrt(z*z-1)).

OTHER FUNCTIONS

   binomial_coeff
       Calculates the binomial coefficient n over k of its first two arguments (n, k).

       Code taken from Orwant et al, "Mastering Algorithms with Perl"

   bell_number
       The Bell numbers are defined as follows:

	 B_0   = 1
	 B_n+1 = sum_k=0_to_n( B_k * binomial_coeff(n, k) )

       This function uses memoization.

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 Mueller, symbolic-module at steffen-mueller dot net
	 Stray Toaster, mwk at users dot sourceforge dot net
	 Oliver Ebenhoeh

SEE ALSO

       New versions of this module can be found on http://steffen-mueller.net or CPAN. The module development takes place on Sourceforge at
       http://sourceforge.net/projects/math-symbolic/

       Math::Symbolic

perl v5.10.1							    2011-01-01					 Math::Symbolic::AuxFunctions(3pm)

Check Out this Related Man Page

Math::Symbolic::Custom::Base(3pm)			User Contributed Perl Documentation			 Math::Symbolic::Custom::Base(3pm)

NAME

       Math::Symbolic::Custom::Base - Base class for tree tests and transformations

SYNOPSIS

	 # Extending the Math::Symbolic::Custom class:
	 package Math::Symbolic::Custom::MyTransformations;
	 use Math::Symbolic::Custom::Base;
	 BEGIN {*import = &Math::Symbolic::Custom::Base::aggregate_import}

	 our $Aggregate_Export = [qw/apply_transformation1 .../];
	 sub apply_transformation1 {
	    # ...
	 }

DESCRIPTION

       This is a base class for your extensions to the Math::Symbolic::Custom class.

       To extend the class, just use the following template for your custom class:

	 package Math::Symbolic::Custom::MyTransformations;

	 use Math::Symbolic::Custom::Base;
	 BEGIN {*import = &Math::Symbolic::Custom::Base::aggregate_import}

	 our $Aggregate_Export = [...]; # exported subroutines listed here.

	 # Now implement the subroutines.
	 # Exported subroutine names must start with 'apply_', 'mod_',
	 # 'is_', 'test_', 'contains_', or 'to_'

	 # ...

	 1;

   EXPORT
       Uses a custom exporter implementation to export certain routines from the invoking namespace to the Math::Symbolic::Custom namespace.
       But... Nevermind.

SUBROUTINES

   aggregate_import
       aggregate_import() is the only public subroutine defined by Math::Symbolic::Custom::Base and should only be called in BEGIN blocks like the
       one shown in the SYNOPSIS above.

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 Mueller, symbolic-module at steffen-mueller dot net
	 Stray Toaster, mwk at users dot sourceforge dot net
	 Oliver Ebenhoeh

SEE ALSO

       New versions of this module can be found on http://steffen-mueller.net or CPAN. The module development takes place on Sourceforge at
       http://sourceforge.net/projects/math-symbolic/

       Math::Symbolic

perl v5.10.1							    2011-01-01					 Math::Symbolic::Custom::Base(3pm)
Man Page