Re: Vectorization

• To: mathgroup at smc.vnet.net
• Subject: [mg60648] Re: Vectorization
• From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
• Date: Fri, 23 Sep 2005 04:19:52 -0400 (EDT)
• Organization: The Open University, Milton Keynes, U.K.
• References: <dgtjh4\$2bk\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Marcelo Mayall wrote:
> It's possible to initialize a vector starting from an elementary functions:
>
> In[1]:=
> Table[Sin[Random[]],{10000000}]//Timing//First
>
> Out[1]=
> 3.203 Second
>
> The same problem can be done a bit more efficiently if the elementary function is applied to the numerical vector:
>
> In[2]:=
> Sin[Table[Random[],{10000000}]]//Timing//First
>
> Out[2]=
> 1.969 Second
>
> But why the tendency is opposed when the numbers are complex ? Is this a bug ?
>
> In[3]:=
> Table[Sin[I Random[]],{1000000}]//Timing//First
> Sin[Table[I Random[],{1000000}]]//Timing//First
>
> Out[3]=
> 2.484 Second
>
> Out[4]=
> 2.656 Second
>
>
> Thanks,
>
> Marcelo Mayall
>
Compare the following results:

In[1]:=
Table[Sin[I Random[]],{1000000}]//Timing//First
Sin[Table[I Random[],{1000000}]]//Timing//First

Out[1]=
2.688 Second

Out[2]=
2.703 Second

In[3]:=
Table[Sin[I Random[]],{1000000}]//Timing//First
Sin[Table[I Random[],{1000000}]]//Timing//First

Out[3]=
2.656 Second

Out[4]=
2.547 Second

What do you conclude :-) Don't you you think than more than a couple of
tests would be necessary to get a statistically significant result?

/J.M.

```

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