Re: List of patterns for which a function is defined?

• To: mathgroup at smc.vnet.net
• Subject: [mg24425] Re: [mg24378] List of patterns for which a function is defined?
• From: Andrzej Kozlowski <andrzej at tuins.ac.jp>
• Date: Tue, 18 Jul 2000 00:58:23 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```Here is a simple function that will accomplish this (at least in your case
and similar ones):

In[1]:=
ListOfPatternsDefined[a_] :=
Cases[ToHeldExpression[ToString[Definition[a]]], a[x_] -> x, Infinity]

In[2]:=
a[1] = 4; a[2] = 5; a["cat"] = "sam";

In[3]:=
ListOfPatternsDefined[a]

Out[3]=
{1, 2, cat}

Andrzej
--
Andrzej Kozlowski
Toyama International University, JAPAN

For Mathematica related links and resources try:
<http://www.sstreams.com/Mathematica/>

on 7/13/00 12:13 PM, Roger Wilson at roger.wilson at nomura.co.uk wrote:

> I have a function b which I define explicitly for a set of input values.
>
> a[1]=4; a[2]=5; a["cat"]="sam";
>
> If I type ??a I get the usual listing of the definition of a but how do I
> get a list of the values or patterns for which a is defined?
>
> ListOfPatternsDefined[a]
> {1,2,"cat"}
>
> In python this would be a.keys() but in Mathematica I'm stuck?
>
> Any ideas?
>
> Roger.
>
> ---------------------------------------------------------------------
> Roger Wilson, Quantitative Analysis Group | roger.wilson at nomura.co.uk
> <mailto:roger.wilson at nomura.co.uk>
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>

```

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