EqualityTester compares expressions by assigning random values to all symbols in the expressions. The comparison function, number of comparisons can be controlled and the distribution and type of values can be modified on a pattern-by-pattern basis.
EqualityTest[lhs, rhs, [distributions,] [Options]]
compares lhs and rhs numerically by assigning values to all symbols as
specified by distributions, calculating a distance between lhs and rhs
using DistanceMeasure and comparing it to Tolerance. This is repeated MaxIterations times. The distributions parameter must be a list {p_1,p_2,...} where p_i is either
Automatic, a pattern or a delayed rule pattern:>RNG, e.g. x:>RandomReal[{-1,1}].
It defaults to {Automatic}.
All components can be Automatic, e.g
Automatic:>AutomaticAutomatic:>RandomReal[{0,1}]Subscript[y,_]:>Automatic (equivalent to Subscript[y,_] )
The default/Automatic pattern is s_Symbol/;Not@Or[ValueQ[s],NumericQ[s]].
The default/Automatic RNG is RandomReal[NormalDistribution[]], this can be changed with the DefaultRNG option."
MakeEqualityTester[{p1,p2,...}]
returns an equality test function so that MakeEqualityTester[args][lhs,rhs] is equivalent to EqualityTest[lhs,rhs,args___].
. . .
(C) janus@insignificancegalore.net, 2010 EqualityTester is released under Creative Commons Attribution-ShareAlike 3.0 Unported License, see http://creativecommons.org/licenses/by-sa/3.0/.