# NestWhileList

Usage

NestWhileList[f, expr, test] generates a list of the results of applying f repeatedly, starting with expr, and continuing until applying test to the result no longer yields True.
NestWhileList[f, expr, test, m] supplies the most recent m results as arguments for test at each step.
NestWhileList[f, expr, test, All] supplies all results so far as arguments for test at each step.
NestWhileList[f, expr, test, m, max] applies f at most max times.

Notes

• The last element of the list returned by NestWhileList[f, expr, test] is always an expression to which applying test does not yield True.
NestWhileList[f, expr, test, m] at each step evaluates test[, , ... , ]. It does not put the results in a list.
• The are given in the order they are generated, with the most recent coming last.
NestWhileList[f, expr, test, m] does not start applying test until at least m results have been generated.
NestWhileList[f, expr, test, {, 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.
NestWhileList[f, expr, test, m] is equivalent to NestWhileList[f, expr, test, {m, m}].
NestWhileList[f, expr, UnsameQ, 2] is equivalent to FixedPointList[f, expr].
NestWhileList[f, expr, test, All] is equivalent to NestWhileList[f, expr, test, {1, Infinity}].
NestWhileList[f, expr, UnsameQ, All] goes on applying f until the same result first appears more than once.
NestWhileList[f, expr, test, m, max, n] applies f an extra n times, appending the results to the list generated.
NestWhileList[f, expr, test, m, max, -n] drops the last n elements from the list generated.
• See Section 2.2.2.
• New in Version 4.

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