Skip to main content

programming - How to Synchronise Manipulates in Different Cells?


I need to have a few Manipulates in different cells synchronize on a few variables.


I have a report with several Manipulates in different sections showing different views/summaries of the data. Some of the selection variables are common to all Manipulates. When the reader updates one of these common in any of the Manipulates I would like all Manipulates to update the value of that variable and execute (or maybe execute on "MouseMoved" so the CDF doesn't crawl).


Using a Notebook level variable (I have CellContext set to Notebook in Global Preferences) I can see that the sync variable is syncing but I can't seem to get the Manipulates to use it.



sync = 1;

DynamicModule[{d = Range[10]},
 Manipulate[
  Column[{d[[;; j]], sync}],
  {{j, 1}, 1, 10, 1, 
   TrackingFunction -> {(j = sync) &, (j = #) &, (j = #; sync = #) &}}
  ],
 SaveDefinitions -> True
 ]


DynamicModule[{d = Range[10, 100, 10]},
 Manipulate[
  Column[{d[[;; i]], sync}],
  {{i, 1}, 1, 10, 1, 
   TrackingFunction -> {(i = sync) &, (i = #) &, (i = #; sync = #) &}}
  ],
 SaveDefinitions -> True
 ]


There is the new Channel-Based Communication in version 11 that might help but I don't have that installed yet (and it is experimental). I'll take an 10.4.1 or an 11 solution but I need it to work in CDF. Not certain there is Player Pro for version 11 yet.



Answer



Another approach is to localize the context of the CDF and use LocalizeVariables -> False in Manipulate. You have to remember to manually localize controls in the Manipulate that you don't want to share.


SetOptions[EvaluationNotebook[], CellContext -> Notebook]

DynamicModule[{d = Range[10], offset},
 Manipulate[d[[;; j]] + offset,
  {{j, 1}, 1, 10, 1}, {offset, 0, 1},
  LocalizeVariables -> False],
 SaveDefinitions -> True]


DynamicModule[{d = Range[10, 100, 10], offset},
 Manipulate[d[[;; j]] + offset,
  {{j, 1}, 1, 10, 1}, {offset, 0, 1},
  LocalizeVariables -> False],
 SaveDefinitions -> True]

Mathematica graphics


I'm not sure which way will be too much trouble, maintaining the TrackingFunctions (e.g. Kuba's answers) or the scope of variables. Someone on the site once said Manipulate is a beast (in part because it automatically rewrites your code, which is probably why the OP had trouble). The typical advice here when things get complicated is to abandon Manipulate and do it all yourself with DynamicModule[].


Comments

Post a Comment

Popular posts from this blog

plotting - How to draw lines between specified dots on ListPlot?

I would like to create a plot where I have unconnected dots and some connected. So far, I have figured out how to draw the dots. My code is the following: ListPlot[{{1, 1}, {2, 2}, {3, 3}, {4, 4}, {1, 4}, {2, 5}, {3, 6}, {4, 7}, {1, 7}, {2, 8}, {3, 9}, {4, 10}, {1, 10}, {2, 11}, {3, 12}, {4,13}, {2.5, 7}}, Ticks -> {{1, 2, 3, 4}, None}, AxesStyle -> Thin, TicksStyle -> Directive[Black, Bold, 12], Mesh -> Full] I have thought using ListLinePlot command, but I don't know how to specify to the command to draw only selected lines between the dots. Do have any suggestions/hints on how to do that? Thank you. Answer One possibility would be to use Epilog with Line : ListPlot[ {{1, 1}, {2, 2}, {3, 3}, {4, 4}, {1, 4}, {2, 5}, {3, 6}, {4, 7}, {1, 7}, {2, 8}, {3, 9}, {4, 10}, {1, 10}, {2, 11}, {3, 12}, {4, 13}, {2.5, 7}}, Ticks -> {{1, 2, 3, 4}, None}, AxesStyle -> Thin, TicksStyle -> Directive[Black, Bold, 12], Mesh -> Full, Epilog -> { Line[ ...
Post a Comment
Read more

calculus and analysis - Integral of the Sinc product

Let us consider the following integral $$ B_n = \int_0^\infty \prod_{k=1,3,5,\dots}^n\frac{\sin (x/k)}{x/k}dx $$ By definition, Sinc[x] == Sin[x]/x , therefore B[n_?OddQ] := Integrate[Product[Sinc[x/k], {k, 1, n, 2}], {x, 0, Infinity}] B /@ Range[1, 13, 2] {Pi/2, Pi/2, Pi/2, Pi/2, Pi/2, Pi/2, Pi/2} OK, everything is fine. But... B[15] 467807924713440738696537864469 Pi/935615849440640907310521750000 What's going on? Answer As Eckhard wrote in comments B[n] is the n-th Borwein integral . (The letter B was not accidental :) ) This funny properties of Borwein integrals is related to the Fourier transform of Sinc function FourierTransform[Sinc[x], x, k] 1/2 Sqrt[Pi/2] (Sign[1 - k] + Sign[1 + k]) Plot[%, {k, -2, 2}, Filling -> 0] which is the box function. The result is $\pi/2$ while the sum $$ 1/3+1/5+\dots+1/n $$ B_n = \frac{\pi}{2} - \pi \bigg(\sum_{k=3,5,\ldots}^n\frac{1}{k} -1\biggr)^\frac{n-1}{2}\prod_{k=3,5,\dots}^n\frac{k}{k-1}. $$ For $n=15$ it is equal to $$ \frac{46780...
Post a Comment
Read more

list manipulation - Selecting multiple columns from a matrix?

Sample data: data = { {{2013, 1, 1}, 24.13, 167.67, 231.82}, {{2013, 1, 2}, 32.15, 170.92, 225.99}, {{2013, 1, 3}, 35.43, 172.68, 221.67}, {{2013, 1, 4}, 36.73, 173.05, 218.32}, {{2013, 1, 5}, 58.19, 165.96, 197.05}, {{2013, 1, 6}, 69.99, 163.50, 187.52}, {{2013, 1, 7}, 71.37, 154.21, 175.58}, {{2013, 1, 8}, 72.51, 149.66, 163.25}}; I want a DateListPlot with three graphs, so for a matrix formed by columns 1 and 2, one for columns 1 and 3, and 1 for columns 1 and 4. At the moment I'm using this code: data2 = Transpose[{data[[All, 1]], data[[All, 2]]}]; data3 = Transpose[{data[[All, 1]], data[[All, 3]]}]; data4 = Transpose[{data[[All, 1]], data[[All, 4]]}]; DateListPlot[{data2, data3, data4}, Joined -> True, Filling -> {3 -> {1}}] but I have a hunch that this can be done more efficiently. I don't like the Transpose s in particular. Any ideas? edit (for extra credit) What if I need to multiply the second column by 2, which in my solution is simp...
Post a Comment
Read more