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BUILT-IN MATHEMATICA SYMBOL
NestWhile
NestWhile[f, expr, test]
starts with expr, then repeatedly applies f until applying test to the result no longer yields True.
NestWhile[f, expr, test, m]
supplies the most recent m results as arguments for test at each step.
NestWhile[f, expr, test, m, max]
applies f at most max times.
NestWhile[f, expr, test, m, max, n]
applies f an extra n times.
NestWhile[f, expr, test, m, max, -n]
returns the result found when f had been applied n fewer times.
Details
- NestWhile[f, expr, test] returns the first expression
to which applying test does not yield True. - If
does not yield True, NestWhile[f, expr, test] returns expr. » - NestWhile[f, expr, test, m] at each step evaluates
. It does not put the results 
in a list. » - The
are given in the order they are generated, with the most recent coming last. - NestWhile[f, expr, test, m] does not start applying test until at least m results have been generated.
- NestWhile[f, expr, test, {mmin, m}] does not start applying test until at least
results have been generated. At each step it then supplies as arguments to test as many recent results as possible, up to a maximum of m. » - NestWhile[f, expr, test, m] is equivalent to NestWhile[f, expr, test, {m, m}]. »
- NestWhile[f, expr, UnsameQ, 2] is equivalent to FixedPoint[f, expr]. »
- NestWhile[f, expr, test, All] is equivalent to NestWhile[f, expr, test, {1, Infinity}]. »
- NestWhile[f, expr, UnsameQ, All] goes on applying f until the same result first appears more than once.
- NestWhile[f, expr, test, m, max, n] applies f an additional n times after test fails, or max applications have already been performed. »
- NestWhile[f, expr, test, m, max, -n] is equivalent to Part[NestWhileList[f, expr, test, m, max], -n-1]. »
- NestWhile[f, expr, test, m, Infinity, -1] returns, if possible, the last expression in the sequence expr,
, 
, ... for which test yields True.
New in 4
