Re: A friendly challenge: Generalized Partition
- To: mathgroup at smc.vnet.net
- Subject: [mg34908] Re: A friendly challenge: Generalized Partition
- From: "Carl K. Woll" <carlw at u.washington.edu>
- Date: Wed, 12 Jun 2002 02:15:47 -0400 (EDT)
- References: <ae4e7h$97i$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Here is a version based on some code that several of us worked on when we were trying to simulate Split in Mathematica version 2. hh[s_,t_]:=Take[s,#]&/@Transpose[{Drop[#,-1],Rest[#]-1}]&@FoldList[Plus,1,t] Carl Woll Physics Dept U of Washington ----- Original Message ----- From: ""Mr. Wizard"" <gleam at flashmail.com> To: mathgroup at smc.vnet.net Subject: [mg34908] A friendly challenge: Generalized Partition > In the 4.1 help browser, in Further Examples under Take, there is code > for a generalized partition function, called gg. This code is > somewhat long and extremely slow. I challenge you to duplicate the > functionality of this code (ignoring the ggCheckArgs condition), while > making it 1) as sort as possible, and/or 2) as fast as possible. > > Your function must be in good form, leaving no stray assignments, i.e. > using the appropriate scoping construct(s). > > For efficiency testing, I will use (where func is your function): > > a = Range[2000]; > b = Table[Random[Integer, {1, 20}], {150}]; > First[Timing[Do[func[a, b], {100}]]] > > I will post my versions after a little while. For reference, on my > machine, the function from the help files, omitting the ggCheckArgs > condition, takes 8 seconds; my fastest version takes 0.33 seconds. My > shortest version is 44 characters in length, and takes 0.94 seconds. > > Good luck! > > Paul > >