how many times nestwhile repeats calculations?

*To*: mathgroup at smc.vnet.net*Subject*: [mg71944] how many times nestwhile repeats calculations?*From*: Arkadiusz.Majka at gmail.com*Date*: Tue, 5 Dec 2006 06:04:42 -0500 (EST)

Hi, >From Help Browser we read NestWhile[f, expr, test] starts with expr, then repeatedly applies f until applying test to the result no longer yields True. I would like to know how many times f is applied till test stops everything. I read already a post in which the following example was presented In[1]:= mysqrt[a_] := NestWhile[{#[[1]]+1, .5(#[[2]]+a/#[[2]])}&, {0, Max[1.,N@a]}, #[[2]]^2 > a&] In[2]:= mysqrt[2] Out[2]= {5, 1.41421} Do you know any other method? I don't want to influence to NestWhile (by inserting a "counting" element #[[1]]+1 ) Thanks, Arek

**Follow-Ups**:**Re: how many times nestwhile repeats calculations?***From:*Andrzej Kozlowski <akoz@mimuw.edu.pl>