Math::Symbolic::Custom::DefaultTests(3pm)

1Math::Symbolic::Custom:U:sDeerfaCuolnttTreisbtust(e3d)PMeartlh:D:oScyummbeonltiact:i:oCnustom::DefaultTests(3)
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NAME

6       Math::Symbolic::Custom::DefaultTests - Default Math::Symbolic tree
7       tests
8

SYNOPSIS

10         use Math::Symbolic;
11

DESCRIPTION

13       This is a class of default tests for Math::Symbolic trees. Likewise,
14       Math::Symbolic::Custom::DefaultMods defines default tree transformation
15       routines.  For details on how the custom method delegation model works,
16       please have a look at the Math::Symbolic::Custom and
17       Math::Symbolic::Custom::Base classes.
18
19   EXPORT
20       Please see the docs for Math::Symbolic::Custom::Base for details, but
21       you should not try to use the standard Exporter semantics with this
22       class.
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SUBROUTINES

25   is_zero()
26       Returns true (1) of the tree is a constant and '0'. Returns false (0)
27       otherwise.
28
29   is_one()
30       Returns true (1) of the tree is a constant and '1'. Returns false (0)
31       otherwise.
32
33   is_zero_or_one()
34       Returns true ('1' for 1, '0E0' for 0) of the tree is a constant and '1'
35       or '0'.  Returns false (0) otherwise.
36
37   is_integer()
38       is_integer() returns a boolean.
39
40       It returns true (1) if the tree is a constant object representing an
41       integer value. It does not compute the value of the tree.  (eg. '5*10'
42       is not considered an integer, but '50' is.)
43
44       It returns false (0) otherwise.
45
46   is_simple_constant()
47       is_simple_constant() returns a boolean.
48
49       It returns true if the tree consists of only constants and operators.
50       As opposed to is_constant(), is_simple_constant() does not apply
51       derivatives if necessary.
52
53       It returns false (0) otherwise.
54
55   is_constant()
56       is_constant() returns a boolean.
57
58       It returns true (1) if the tree consists of only constants and
59       operators or if it becomes a tree of only constants and operators after
60       application of derivatives.
61
62       It returns false (0) otherwise.
63
64       If you need not pay the price of applying derivatives, you should use
65       the is_simple_constant() method instead.
66
67   is_identical()
68       is_identical() returns a boolean.
69
70       It compares the tree it is called on to its first argument. If the
71       first argument is not a Math::Symbolic tree, it is sent through the
72       parser.
73
74       is_identical() returns true (1) if the trees are completely identical.
75       That includes operands of commutating operators having the same order,
76       etc. This does not test of mathematical equivalence! (Which is much,
77       much harder to test for. If you know how to, please let me know!)
78
79       It returns false (0) otherwise.
80
81   is_identical_base
82       is_identical_base() returns a boolean.
83
84       It compares the tree it is called on to its first argument. If the
85       first argument is not a Math::Symbolic tree, it is sent through the
86       parser.
87
88       is_identical_base() returns true (1) if the trees are identical or if
89       they are exponentiations with the same base. The same gotchas that
90       apply to is_identical apply here, too.
91
92       For example, 'x*y' and '(x*y)^e' result in a true return value because
93       'x*y' is equal to '(x*y)^1' and this has the same base as '(x*y)^e'.
94
95       It returns false (0) otherwise.
96
97   is_sum()
98       (beta)
99
100       is_constant() returns a boolean.
101
102       It returns true (1) if the tree contains no variables (because it can
103       then be evaluated to a single constant which is a sum). It also returns
104       true if it is a sum or difference of constants and variables.
105       Furthermore, it is true for products of integers and constants because
106       those products are really sums of variables.  If none of the above
107       cases match, it applies all derivatives and tries again.
108
109       It returns false (0) otherwise.
110
111       Please contact the author in case you encounter bugs in the specs or
112       implementation. The heuristics aren't all that great.
113
114   test_num_equiv()
115       Takes another Math::Symbolic tree or a code ref as first argument.
116       Tests the tree it is called on and the one passed in as first argument
117       for equivalence by sampling random numbers for their parameters and
118       evaluating them.
119
120       This is no guarantee that the functions are actually similar. The
121       computation required for this test may be very high for large numbers
122       of tests.
123
124       In case of a subroutine reference passed in, the values of the
125       parameters of the Math::Symbolic tree are passed to the sub ref sorted
126       by the parameter names.
127
128       Following the test-tree, there may be various options as key/value
129       pairs:
130
131         limits: A hash reference with parameter names as keys and code refs
132                 as arguments. A code ref for parameter 'x', will be executed
133                 for every number of 'x' that is generated. If the code
134                 returns false, the number is discarded and regenerated.
135         tests:  The number of tests to carry out. Default: 20
136         epsilon: The accuracy of the numeric comparison. Default: 1e-7
137         retries: The number of attempts to make if a function evaluation
138                  throws an error.
139         upper:   Upper limit of the random numbers. Default: 10
140         lower:   Lower limit of the random numbers. Default: -10
141

AUTHOR

143       Please send feedback, bug reports, and support requests to the
144       Math::Symbolic support mailing list: math-symbolic-support at lists dot
145       sourceforge dot net. Please consider letting us know how you use
146       Math::Symbolic. Thank you.
147
148       If you're interested in helping with the development or extending the
149       module's functionality, please contact the developers' mailing list:
150       math-symbolic-develop at lists dot sourceforge dot net.
151
152       List of contributors:
153
154         Steffen MA~Xller, symbolic-module at steffen-mueller dot net
155         Stray Toaster, mwk at users dot sourceforge dot net
156         Oliver EbenhA~Xh
157

NAME

SYNOPSIS

DESCRIPTION

SUBROUTINES

AUTHOR

SEE ALSO