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Re: Split in Mathematica 2.2

• To: mathgroup at smc.vnet.net
• Subject: [mg12822] Re: [mg12777] Split in Mathematica 2.2
• From: Andrzej Kozlowski <andrzej at tuins.ac.jp>
• Date: Fri, 12 Jun 1998 04:05:51 -0400
• References: <199806100704.DAA13675@smc.vnet.net.>
• Sender: owner-wri-mathgroup at wolfram.com

>
>At 12:04 AM -0700 1998.06.10, Andrzej Kozlowski wrote:
>>.. Can anyone suggest a really fast implementation
>>of Split that works in version 2.2?
>
>Here's an emulated Split with speed considerations. Basically, it iterates
>through the list, mark down where the boundaries should be, then map Take
>to the boundary indexes to obtain the new list.
>
>split::"usage"=
>  "split simulates the version 3 build-in function Split. Example:
>Split[{1,2,3,4,4,3,2}]";
>
>split[li_,fQ_:SameQ]:=Module[{liLength,index,i},liLength=Length at li;
>index={};For[i=1,i<liLength,i++,
>      If[Not@(fQ@@Part[li,{i,i+1}]),index={index,i}]];
>(Take[li,#]&)/@(Transpose[{Flatten[{1,#+1}],Flatten[{#,liLength}]}]&)@
>        Flatten at index];
>
>
>PS for those wondering what happened to my series of Mathematica expositions... I
>got extremely busy with work. I will come back to it sometimes in the
>future.
>
> Xah, xah at best.com
> http://www.best.com/~xah/PageTwo_dir/more.html
> "Perl: all unix's stupidity in one."


I think I managed to construct an even faster program which avoids the
dreaded For loop:

split1[l_]:=
  Module[{m},
    Map[Take[l,#]&,
      Partition[
          Insert[Insert[
             
Flatten[Position[Partition[l,2,1]/.{x_,y_}/;x=!=y->m,m]],1,1],
            Length[l],-1],2,1]/.{a_,b_}/;a!=1->{a+1,b}]]

Here are some test results (Mathematica 3.01, PowerMac G3 266) In[5]:=
w = Table[Random[Integer], {10000}]; In[6]:=
Split[w];//Timing
Out[6]=
{0.25 Second,Null}
In[7]:=
split[w];//Timing
Out[7]=
{1.16667 Second,Null}
In[8]:=
split1[w];//Timing
Out[8]=
{0.766667 Second,Null}

Split is the built in mathematica 3.0 function, split is Xah's function
and split1 is my new function. I am relieved; I hate the For loop!

Andrzej

Dr. Andrzej Kozlowski
Professor of Mathematics
Toyama International University
Toyama, JAPAN
http://sigma.tuins.ac.jp/

• References:
  • Split in Mathematica 2.2
    • From: Andrzej Kozlowski <andrzej@tuins.ac.jp>