Ubuntu Manpage: Math::Symbolic::Custom::DefaultTests - Default Math::Symbolic tree tests

Provided by: libmath-symbolic-perl_0.612-2_all

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_zero()
       Returns true (1) of the tree is a constant and '0'. Returns false (0) otherwise.

   is_one()
       Returns true (1) of the tree is a constant and '1'. Returns false (0) otherwise.

   is_zero_or_one()
       Returns true ('1' for 1, '0E0' for 0) of the tree is a constant and '1' or '0'.  Returns
       false (0) otherwise.

   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 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. If the first argument is not a
       Math::Symbolic tree, it is sent through the parser.

       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_identical_base
       is_identical_base() returns a boolean.

       It compares the tree it is called on to its first argument. If the first argument is not a
       Math::Symbolic tree, it is sent through the parser.

       is_identical_base() returns true (1) if the trees are identical or if they are
       exponentiations with the same base. The same gotchas that apply to is_identical apply
       here, too.

       For example, 'x*y' and '(x*y)^e' result in a true return value because 'x*y' is equal to
       '(x*y)^1' and this has the same base as '(x*y)^e'.

       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.

   test_num_equiv()
       Takes another Math::Symbolic tree or a code ref as first argument. Tests the tree it is
       called on and the one passed in as first argument for equivalence by sampling random
       numbers for their parameters and evaluating them.

       This is no guarantee that the functions are actually similar. The computation required for
       this test may be very high for large numbers of tests.

       In case of a subroutine reference passed in, the values of the parameters of the
       Math::Symbolic tree are passed to the sub ref sorted by the parameter names.

       Following the test-tree, there may be various options as key/value pairs:

         limits: A hash reference with parameter names as keys and code refs
                 as arguments. A code ref for parameter 'x', will be executed
                 for every number of 'x' that is generated. If the code
                 returns false, the number is discarded and regenerated.
         tests:  The number of tests to carry out. Default: 20
         epsilon: The accuracy of the numeric comparison. Default: 1e-7
         retries: The number of attempts to make if a function evaluation
                  throws an error.
         upper:   Upper limit of the random numbers. Default: 10
         lower:   Lower limit of the random numbers. Default: -10

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

NAME

SYNOPSIS

DESCRIPTION

SUBROUTINES

AUTHOR

SEE ALSO