Re: Complex Numbers to list of points

• To: mathgroup at smc.vnet.net
• Subject: [mg72192] Re: Complex Numbers to list of points
• From: "Mark Westwood" <markc.westwood at gmail.com>
• Date: Thu, 14 Dec 2006 05:49:07 -0500 (EST)
• References: <elosbs\$ojk\$1@smc.vnet.net>

```Andrew

Try the following:

{1+3i, 2, 1-3i} /. (z_ /; NumericQ[z]) -> {Re[z], Im[z]}

which gives me

{{1, 3}, {2, 0}, {1, -3}}

Note the () around the pattern with condition.

HTH

Mark Westwood

On 13 Dec, 12:40, planetmarshal... at hotmail.com wrote:
> Hi there,
>
> I have a list of mixed complex and real numbers returned from a function, e=
> g
>
> {1+3i, 2, 1-3i}
>
> I wish to convert the list to a list of points.
>
> {1+3i,2,1-3i} /. z_Complex->{Re[z],Im[z]}
>
> gives
>
> {{1,3},2,{1,-3}}
>
> Which is almost what I want, but has not dealt with the possibility of non-=
> complex numbers in the list. Is there a compact way of doing this, such wit=
> h a list of rules? Nothing obvious seems to work, the only success I have h=
> ad is splitting the list into real and complex sublists, applying rules to =
> each list individually and then recombining them, which seems like an awful=
>  lot of hard work.
>
> What I want is
> toPoints[{1+3i, 2, 1-3i}] == {{1,3},{2,0},{1,-3}}
>
> Any help appreciated,
> Thanks.
>
> Andrew.

```

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