Animations

==Bases: how it works==

- an animation it's a "frames collection"

- each frame can be generated by a time-dependant function (a parametric equation)

- parameter must be a vector (a column matrix)

[image|parameter examples|{UP}animations/wiki-01-01.PNG]

- parametric equations can be mono-parametric or multi-parametric

[image|parametric equations|{UP}animations/wiki-01-02.PNG]

- when you plot an animation, the animation parameter must be defined as "t"

[image|plot syntax|{UP}animations/wiki-01-03.PNG]

- right-click on  your plots to define the animation settings

(((
* parameter source: Animate > u / v / tRange (in this example, any other vector in your files)

{{{{now each frame take a progressive position of the source variable as "t" value}}}}

* animation speed: Frame rate > ###

{{{{f.e. "frame-rate > 2" means 2 frames per second}}}}

* loop settings: Frame rate > No animation / Play once / Repeat Indefinitely

{{{{selecting "No animation" you can see each frame step-by-step with ALT+left / ALT+right}}}})))

==Examples==

{{{{- 2D plot
- frame source: v
- frame rate: 2

[image|EXAMPLE 01|{UP}animations/wiki-02-01.gif]}}}}

{{{{- 2D plot
- multiple equations
- frame source: v
- frame rate: 5

[image|EXAMPLE 02|{UP}animations/wiki-02-02.gif]}}}}

{{{{- 2D plot
- frame source: tRange
- frame rate: 50

[image|EXAMPLE 03|{UP}animations/wiki-02-03.gif]}}}}

{{{{- 3D plot
- multiple equations
- frame source: tRange
- frame rate: 50

[image|EXAMPLE 04a|{UP}animations/wiki-02-04a.gif]}}}}

==History==

* SMath [http://en.smath.info/forum/default.aspx?g=posts&m=5857|0.90] (stable): first relase

==See also==

* [Graphs|Graphs]

==References==

The *.sm version of this tutorial can be found here:

* [{UP}animations/animations tutorial - bases.zip|Animations tutorial - bases]

Andrey Ivashov video tutorial:

* [http://smath.info/?file=739843|How To Animate Graph tutorial]

Simple animations:

* [{UP}AnimatEngl.rar|A Simple Example]

* [{UP}SimpleAnimationM.rar|Simple Animation]

* [{UP}animations/rainbows.zip|A funny simple animation]

More complex animations:

* [http://en.smath.info/forum/default.aspx?g=posts&t=995|SMath Studio Forum » SMath Studio » Samples » Animation of mechanisms ] 

* [http://en.smath.info/forum/default.aspx?g=posts&t=986|SMath Studio Forum » SMath Studio » Samples » Animation of planetary mechanisms ]