Re: HoldForm in defined function doesn't seem to work

*To*: mathgroup at smc.vnet.net*Subject*: [mg99266] Re: HoldForm in defined function doesn't seem to work*From*: joel.aufgang at gmail.com*Date*: Fri, 1 May 2009 05:23:44 -0400 (EDT)*References*: <gt9aki$q22$1@smc.vnet.net> <gtbuo8$2r4$1@smc.vnet.net>

Wow! What a great number of responses. Thanks to all of you who helped me out with this. The SetAttributes[f,HoldAll] solution was just what I was looking for. Unfortunately, I'm still stuck on something.... Namely, using this with the Map function. I'm trying to display the way the notebook front end rewrites the box model representation of an expression as it is edited. I'd like to display a sequence of expressions and their ToBoxes representations using a SlideView. So I'm doing something like this: ========================== ============== ShowBoxForms[expr_] := TableForm[ {HoldForm[expr], ToBoxes[HoldForm [expr]][[1]], TreeForm[ToBoxes[HoldForm[expr]][[1]]]}]; EditingSequence[expr_] := SlideView[Map[ShowBoxForms, expr], AppearanceElements -> All]; SetAttributes[ShowBoxForms, HoldAll]; SetAttributes[EditingSequence, HoldAll]; {a, a b, a b c, a b c/d} // EditingSequence {a, ab, a b, a b c, a b c^2, a b + c^2, a (b + c)^2, a (b + c)^ (2/3)} // EditingSequence {12, 12 34, 12 34/56} // EditingSequence ========================== ============== Unfortunately, even though I am setting the HoldAll attributes on my functions, the hold is being removed when the Map function is being called. You can see this by looking at the third editing sequence in my example, where the numeric expressions are being evaluated before being converted to boxes. "12 34/56 // ShowBoxForms" Works perfectly, but I need it to display the same way when being called through EditingSequence I've tried setting HoldAll on Map, but that messes everything up even more. Doing this holds the entire list from the argument, which causes Map to be applied to the entire list and not each element. I need to be able to use Map while performing a HoldForm on each element of the input argument list. Any help with this would be greatly appreciated. And Thanks again for the previous help as well. Joel. On Apr 30, 6:32 am, mju... at gmail.com wrote: > On Apr 29, 9:37 pm, joel.aufg... at gmail.com wrote: > > > > > I'm struggling to understand why this doesn't work: > > > f[x_] = HoldForm[x]; > > HoldForm[123 456 789] (* returns "123 x 456 x 789" *) > > f[123 456 789] (* returns"44253432" *) > > > I don't understand why the two results are different. Is there a > > special trick I need to do to be able to define f so that the HoldForm > > works? > > > I'm using this to help visualize the way a notebook represents typed > > expressions, so I'm trying to do something like this: > > > BoxTree[expr_] := TreeForm[ToBoxes[HoldForm[expr]][[1]]]; > > a b c d e // BoxTree > > 123 456 789 // BoxTree (* want this to show as a RowBox like the > > previous example *) > > > Any help would be greatly appreciated. Thanks. > > That's the way Mathematica evaluates expressions. To achieve the > desired effect add command: > SetAttributes[f,HoldAll] > > Best wishes, Yuri