Re: why does DownValues not return all downvalues for a symbol?
- To: mathgroup at smc.vnet.net
- Subject: [mg99431] Re: why does DownValues not return all downvalues for a symbol?
- From: dh <dh at metrohm.com>
- Date: Tue, 5 May 2009 06:02:25 -0400 (EDT)
- References: <gtnk2p$3l6$1@smc.vnet.net>
Hi Michael,
definitions for a pattern of the form: f[..][..]:= ... are called SubValues.
Daniel
Michael wrote:
> I'm trying to get the functionality of "associative arrays" or "alist"
> or "hash tables" to work in Mathematica. However I'm seeing a quirk
> and I wonder if anybody can explain what is going on or suggest a
> better approach?
>
> I can define a simple associate array like so:
> f["red"]=1;
> f["blue"]=2;
> ...
> If all my parameters are strings, then I can find the "keys" to my
> alist with the following function:
> StringKeys[y_] := DownValues[y] /. {( _[y[str_String]] :> _) -> str};
> SetAttributes[StringKeys, HoldFirst];
>
> In[141]:= StringKeys[f]
>
> Out[141]= {"blue", "red"}
>
> However, if I try to define a more complex alist, I cannot find any
> way to retrieve the definition!
>
> In[142]:= g["x"]["y"] = 1;
>
> In[143]:= DownValues[g]
>
> Out[143]= {}
>
> In[144]:= UpValues[g]
>
> Out[144]= {}
>
>
> Any ideas?
>
> Thanks,
>
> Michael
>