Skip to main content

manipulate - Strange evaluating indication of output cells


enter image description here


Something like this happened when I was working with two Manipulate cells. I saved the notebook, duplicated it and only keep these two cells, and opened the notebook with a fresh kernel, it still happened immediately (in trusted directory, if not, this happens after clicking enable dynamics).


I have repeated this on Mathematica 10.1 on OS X 10.10.3 and Windows 8.1 (I am not able to open it in version 9).


So is it a bug, or an expected behaviour I am unaware of?


The code in the notebook is here:


First Cell:



Manipulate[
circle = ParametricPlot3D[{Sin[x], Cos[x], 0}, {x, -Pi, Pi},
PerformanceGoal -> "Quality"];
circle1 = First[circle];
circlebase = Scale[circle1, {1, 1, 1}, {0, 0, 0}];
fin = Table[
Translate[Rotate[{Point[{-1, 0, 0}]}, - i 4 Pi/1000, {0, 0, 1}],
2 {Sin[i 2 Pi/1000], Cos[i 2 Pi/1000], 0}], {i, step}];
circlerolled =
Translate[circle1,

2 {Sin[ 2 Pi step/1000], Cos[ 2 Pi step/1000], 0}];
Graphics3D[{fin, circlebase, circlerolled},
PlotRange -> {{-3.1, 3.1}, {-3.1, 3.1}, {-0.1, 0.1}},
ViewPoint -> {0, 0, 1}, Boxed -> False],
{step, 1, 1000}]

Second Cell:


Manipulate[
circle = ParametricPlot3D[{Sin[x], Cos[x], 0}, {x, -Pi, Pi},
PerformanceGoal -> "Quality"];

circle1 = First[circle];
circlebase = Scale[circle1, {-3, -3, -3}, {0, 0, 0}];
fin = Table[
Translate[
Rotate[Point[{-1, 0, 0}], - i 2 Pi/(251/(-2)), {0, 0, 1}],
-2 {Sin[i 2 Pi/251], Cos[i 2 Pi/251], 0}], {i, step}];
circlerolled =
Translate[
circle1, (-3 + 1) {Sin[ 2 Pi step/251], Cos[ 2 Pi step/251], 0}];
Graphics3D[{fin, circlebase, circlerolled},

PlotRange -> {{-3, 3}, {-3, 3}, {-0.1, 0.1}},
ViewPoint -> {0, 0, 1}, Boxed -> False],
{step, 1, 251}]

The code itself should produce this after executing them separately.If you are not able to produce it, you may try to download my sample notebook.


https://drive.google.com/file/d/0B6gQp_HcIW0ZVmwyeUJHR0MtM0U/view?usp=sharing


I guarantee it is not malicious (anyway you can open it with a text editor and see the source code)



Answer



This infinite evaluation is the result of "cross-linking" the two Dynamic expressions due to the failure to localize your Symbols with DynamicModule, e.g.:


DynamicModule[{circle, circle1, circlebase, fin, circlerolled},

Manipulate[
circle = ParametricPlot3D[{Sin[x], Cos[x], 0}, {x, -Pi, Pi},
PerformanceGoal -> "Quality"];
circle1 = First[circle];
circlebase = Scale[circle1, {1, 1, 1}, {0, 0, 0}];
fin = Table[
Translate[Rotate[{Point[{-1, 0, 0}]}, -i 4 Pi/1000, {0, 0, 1}],
2 {Sin[i 2 Pi/1000], Cos[i 2 Pi/1000], 0}], {i, step}];
circlerolled = Translate[circle1, 2 {Sin[2 Pi step/1000], Cos[2 Pi step/1000], 0}];
Graphics3D[{fin, circlebase, circlerolled},

PlotRange -> {{-3.1, 3.1}, {-3.1, 3.1}, {-0.1, 0.1}}, ViewPoint -> {0, 0, 1},
Boxed -> False], {step, 1, 1000}
]
]



  • step is automatically localized by Manipulate and does not need to be added to the DynamicModule specification.





  • This localization should be included for all Manipulate expressions unless you have specific need to access the values globally, and if you do you will need unique Symbol names.




Comments

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[ ...

dynamic - How can I make a clickable ArrayPlot that returns input?

I would like to create a dynamic ArrayPlot so that the rectangles, when clicked, provide the input. Can I use ArrayPlot for this? Or is there something else I should have to use? Answer ArrayPlot is much more than just a simple array like Grid : it represents a ranged 2D dataset, and its visualization can be finetuned by options like DataReversed and DataRange . These features make it quite complicated to reproduce the same layout and order with Grid . Here I offer AnnotatedArrayPlot which comes in handy when your dataset is more than just a flat 2D array. The dynamic interface allows highlighting individual cells and possibly interacting with them. AnnotatedArrayPlot works the same way as ArrayPlot and accepts the same options plus Enabled , HighlightCoordinates , HighlightStyle and HighlightElementFunction . data = {{Missing["HasSomeMoreData"], GrayLevel[ 1], {RGBColor[0, 1, 1], RGBColor[0, 0, 1], GrayLevel[1]}, RGBColor[0, 1, 0]}, {GrayLevel[0], GrayLevel...

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...