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Fixed Typo in Code---> Re: updating a simulation within Manipulate.

  • To: mathgroup at smc.vnet.net
  • Subject: [mg130063] Fixed Typo in Code---> Re: updating a simulation within Manipulate.
  • From: W Craig Carter <ccarter at MIT.EDU>
  • Date: Thu, 7 Mar 2013 22:47:41 -0500 (EST)
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  • References: <9C229A0A-D12F-4D3E-9B5F-7FA8B918CFE6@mit.edu>

On previous message, there is a typo in the example code, please use this instead:

randomStep[bias_, stepList_] :=
Module[{angle = RandomVariate[NormalDistribution[bias, 1]]},
 Join[stepList, {Last[stepList] + {Cos[angle], Sin[angle]}}]]

walkerGraphic[stepList_, range_] :=
Graphics[GraphicsComplex[stepList, Disk /@ Range[Length[stepList]]],
 PlotRange -> range {{-1, 1}, {-1, 1}}]

DynamicModule[{walkerPath = {{0, 0}}},
 Manipulate[
  If[keepWalking,(*kludge warning---testing for If[ True...] seems inefficient*)
   walkerPath = randomStep[bias, walkerPath]];
  If[reset, reset = False; keepWalking = False;
   walkerPath = {{0, 0}}];
  walkerGraphic[walkerPath,
   range], {{keepWalking, False}, {True, False}}, {{reset,
    False}, {True, False}}, Delimiter, {{range, 20}, 0, 100},
  {{bias, 0}, -Pi, Pi,
   AngularGauge[##, ImageSize -> 160,
     ScaleOrigin -> {{-4 Pi, 4 Pi}, 1}] &}]]



W Craig Carter
Professor of Materials Science, MIT



On Mar 7, 13, at 17:16 PM, W Craig Carter wrote:

> I *think* I've asked this question before, but I can't find it on mathgroup. In any case, I don't know the answer now.
>
> Here is a simple example of a Manipulate that updates a graphic as long as a boolean is true.  This method seems like a kludge to me---is it? If so, what would be a better way to do this.
>
> This is a constructed example, the real case I am looking at is much more involved; but kudos to anyone who can make a reasonable facsimile of their signature by adjusting the random walker's bias....
>
> randomStep[bias_, stepList_] :=
> Module[{angle = RandomVariate[NormalDistribution[bias, 1]]},
>  Join[stepList, {Last[stepList] + {Cos[angle], Sin[angle]}}]]
>
> walkerGraphic[stepList_, range_] :=
> Graphics[GraphicsComplex[stepList, Disk /@ Range[Length[stepList]]],
>  PlotRange -> range {{-1, 1}, {-1, 1}}]
>
> DynamicModule[
> {walkerPath = {{0, 0}}},
> Manipulate[
>  If[keepWalking,  (*  kludge warning---testing for If[True...] seems inefficient   *)
>   walkerPath = randomStep[bias, walkerPath]
>   ];
>  If[reset,
>   reset = False; keepWalking = False;
>   walkerPath = {{0, 0}}
>   ];
>  walkerGraphic[walkerPath, range],
>  {{keepWalking, False}, {True, False}},
>  {{reset, False}, {True, False}},
>  Delimiter,
>  {{range, 20}, 0, 100},
>  {{a, 0}, -Pi, Pi,
>   AngularGauge[##, ImageSize -> 160 ,
>     ScaleOrigin -> {{-4 Pi, 4 Pi}, 1}] &}
>  ]
> ]
>
>
>
> W Craig Carter
> Professor of Materials Science, MIT
>
>


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