Re: Union in Mathematica versions 3 and 4

• To: mathgroup at smc.vnet.net
• Subject: [mg23341] Re: Union in Mathematica versions 3 and 4
• From: "Allan Hayes" <hay at haystack.demon.co.uk>
• Date: Thu, 4 May 2000 02:59:10 -0400 (EDT)
• References: <8ekv53\$q8l@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```"Carl Woll" <carlw at u.washington.edu> wrote in message
news:8ekv53\$q8l at smc.vnet.net...
...........
> The next thing to note is that Sort without the optional
> OrderFunction is much much faster than a sort using an optional
> OrderFunction. In my tests, this difference may be as much as 2 orders
> of magnitude. For example,
>
> In[1]:=
> data = Table[Random[], {100000}];
>
> In[5]:=
> s1 = Sort[data]; // Timing
> s2 = Sort[data, OrderedQ[{#1, #2}] &]; // Timing
> s1 === s2
>
> Out[5]=
> {0.609 Second, Null}
>
> Out[6]=
> {44.672 Second, Null}
>
> Out[7]=
> True

It is sometimes possible to avoid using OrderFunction:

data = Table[Random[], {10000}];
s2 = Sort[data, OrderedQ[{Sin[#1], Sin[#2]}] &]; // Timing // First
s3 = Sort[Transpose[{Sin[data], data}]][[All, 2]]; // Timing // First
s2 === s3

19.94 Second

0.44 Second

True
--
Allan
---------------------
Allan Hayes
Mathematica Training and Consulting
Leicester UK
www.haystack.demon.co.uk
hay at haystack.demon.co.uk
Voice: +44 (0)116 271 4198
Fax: +44 (0)870 164 0565

```

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