Parabolic Shot - Revision history

D.j.a.y: update note + tocright + data linking

2016-02-10T08:59:13Z

update note + tocright + data linking

D.j.a.y: /* Mathematical function to follow */ image update

2016-02-10T08:56:05Z

‎Mathematical function to follow: image update

D.j.a.y: /* The file link and other comments */ update project (thank's yu!)

2016-02-10T08:35:17Z

‎The file link and other comments: update project (thank's yu!)

Zelgadis: Text replace - "{{Category|NewTerminology}}" to "{{NewTerminology}}"

2013-05-20T08:01:35Z

Text replace - "{{Category|NewTerminology}}" to "{{NewTerminology}}"

D.j.a.y: Somes of the screenshots needs to be updated with 0.64.0

2013-05-13T07:32:34Z

Somes of the screenshots needs to be updated with 0.64.0

Genete: Terminology Updated

2013-02-04T17:33:21Z

Terminology Updated

Pupazzo: Fix wording

2012-03-16T20:32:31Z

Fix wording

Pupazzo: /* Converting the functions */

2012-03-16T19:58:12Z

‎Converting the functions

Pupazzo: Use standard mathematical terminology

2012-03-16T17:46:34Z

Use standard mathematical terminology

Pupazzo: Add link, fix English.

2012-03-16T17:10:04Z

Add link, fix English.

@@ Line 1: / Line 1: @@
 <!-- Page info -->
 {{Title|Parabolic Shot}}
 {{Category|Tutorials}}
 {{Category|Tutorials Advanced}}
 {{NewTerminology}}
 <!-- Page info end -->
-  Somes of the screenshots needs to be updated with 0.64.0
+  Somes of the screenshots needs to be updated with current version
 This is a small tutorial to show how to make an object follow a path given by a mathematical function, as {{l|Requested Tutorials|requested here}}.
 We're going to simulate a cannon shot. A cannonball describes a parabolic trajectory after it is fired from the cannon.
 [[File:Parabolic-Shot.gif|frame|center]]
 The mathematical equations that govern the trajectory are:

@@ Line 12: / Line 12: @@
 We're going to simulate a cannon shot. A cannonball describes a parabolic trajectory after it is fired from the cannon.
-{{l|Image:Parabolic-shot.gif}}
+[[File:Parabolic-Shot.gif|frame|center]]
 The mathematical equations that govern the trajectory are:

@@ Line 220: / Line 220: @@
 == The file link and other comments ==
-The above animation can be found also at [http://www.youtube.com/watch?v=Zzs3a52De-I youtube]. The result sifz file for that animation is [http://www.darthfurby.com/genete/synfig/parabolic-shot.sifz here].
+The above animation can be found also at [http://www.youtube.com/watch?v=Zzs3a52De-I youtube]. The result sifz file for that animation is [[Media:Parabolic-Shot.sifz|here]].
 I've added a fancy shooting cannon (it has a rotation angle linked to the 'phi' parameter) a motion blur on the bullet and some background.
 I hope you enjoyed the tutorial. If need any help please ask it in any of the {{l|Contact|usual places}}.

@@ Line 3: / Line 3: @@
 {{Category|Tutorials}}
 {{Category|Tutorials Advanced}}
-{{Category|NewTerminology}}
+{{NewTerminology}}
 <!-- Page info end -->
   Somes of the screenshots needs to be updated with 0.64.0

@@ Line 5: / Line 5: @@
 {{Category|NewTerminology}}
 <!-- Page info end -->
+ Somes of the screenshots needs to be updated with 0.64.0
 This is a small tutorial to show how to make an object follow a path given by a mathematical function, as {{l|Requested Tutorials|requested here}}.

@@ Line 3: / Line 3: @@
 {{Category|Tutorials}}
 {{Category|Tutorials Advanced}}
 <!-- Page info end -->
@@ Line 138: / Line 139: @@
 Right click on the corresponding parameter that you obtain after each convert type and select the correct conversion type from the analysis you have done before. Then you will convert sequentially each sub-parameter to the proper one.
-Once done you should export the most simple terms to allow easy modification or reuse. For example, the ''t'' variable (the time for the mathematical equation) is used in more than one place. You should export it only once. The rest of the times that ''t'' appears you should select the exported ''t'' Valuenode from the child dialog, right click and 'Connect' to reuse it.
+Once done you should export the most simple terms to allow easy modification or reuse. For example, the ''t'' variable (the time for the mathematical equation) is used in more than one place. You should export it only once. The rest of the times that ''t'' appears you should select the exported ''t'' Valuenode from the Library Panel, right click and 'Connect' to reuse it.
 Once done you should obtain something like this:
@@ Line 168: / Line 169: @@
 == Setting up the parameters ==
-Once done all the conversions and all the exportations you can go to the Child ValueNode list and insert the proper values for the parameters of the animation: V0, phi, G, X0, Y0, t1
+Once done all the conversions and all the exportations you can go to the Library Panel ValueNode list and insert the proper values for the parameters of the animation: V0, phi, G, X0, Y0, t1
 The X-axis and Y-axis parameters are calculated based on the variation of the 't' parameter that is linear with the animation time T. You can also export the parameter 'Rate' form the converted type 't' if you want extra external variation of the equation motion.

@@ Line 144: / Line 144: @@
 {{l|Image:Final-Convert-Result.png}}
-== The 't' parameter ==
+== The ''t'' parameter ==
-In this case the 'engine' of the equations is the variable 't' (the physic time). To make the engine parameter to 'move' in the animation we need to link it to the animation's current time. To do that we are going to use the 'Linear' convert type. In fact this one is the only convert type that allows a parameter to change with the animation time. It is really important to understand how it works because it will allow us to add 'motion' to our mathematical equations.
+In this case the 'engine' of the equations is the variable ''t'' (the physics time). To make the engine parameter to 'move' in the animation we need to link it to the animation's current time. To do that we will use the 'Linear' convert type. In fact this one is the only conversion that allows a parameter to change with the animation time.
-The '{{l|Convert#Linear|Linear}}' convert type gives two sub-parameters:
+The '{{l|Convert#Linear|Linear}}' conversion gives two sub-parameters:
-'''Rate''': is the amount of change of the converted parameter in one second of animation time.
+'''Rate''': amount of change of the converted parameter in one second of animation time.
-'''Offset''': is an offset value to add to the result of the multiplication of the animation time by the Rate value.
+'''Offset''': value to add to the result of the multiplication of the animation time by the Rate value.
-So if the converted type is 't' we will obtain:
+So if the converted type is ''t'' we will obtain:
-t = Rate*T+Offset
+t = Rate*T + Offset
 where T is the current animation time in seconds.
-You should have notice that in the image of the conversion types result, the 't' parameter is also converted. It was not expanded in order not to complicate the sample. Here is the result:
+You should have notice that in the image of the conversion types result, the ''t'' parameter is also converted. It was not expanded in order not to complicate the sample. Here is the result:
 {{l|Image:Time-convert.png}}
-I've exported the Offset parameter to 't1' to allow easy manipulation during the animation.
+I've exported the Offset parameter as ''t1'' to allow easy manipulation during the animation.
 == Setting up the parameters ==

@@ Line 61: / Line 61: @@
 <math>X=V_{0x}\cdot t+X_0</math>
-Using the common [http://en.wikipedia.org/wiki/Order_of_operations arithmetic precedence rules] (multiplication and division are higher precedence than addition and subtraction) the function is composed by:
+Using the common [http://en.wikipedia.org/wiki/Order_of_operations arithmetic precedence rules] (multiplication and division are higher precedence than addition and subtraction) the function can be decomposed as:
 # The addition of two terms: (V0x*t) '''+''' (X0)

@@ Line 51: / Line 51: @@
 See [http://en.wikipedia.org/wiki/Trajectory_of_a_projectile this Wikipedia article] if you need more information regarding the maths equations of a parabolic shot.
-== Splitting the functions ==
+== Converting the functions ==
-So, how can we introduce these functions into Synfig?. To do that you should split the equations into their components. Once decomposed then you realize how many independent variables you need for the simulation. Also you will discover what are the 'engines' for the animation and what are parameters.
+So, how can you introduce these functions into Synfig? To do that you must convert the function from [http://en.wikipedia.org/wiki/Infix_notation infix] (e.g. 3 + 2) to [http://en.wikipedia.org/wiki/Polish_notation prefix] (e.g. + 3 2) notation.
 Let's start with the X coordinate:
@@ Line 59: / Line 61: @@
 <math>X=V_{0x}\cdot t+X_0</math>
-Applying basic maths rules you can see that the function is composed by:
+Using the common [http://en.wikipedia.org/wiki/Order_of_operations arithmetic precedence rules] (multiplication and division are higher precedence than addition and subtraction) the function is composed by:
 # The addition of two terms: (V0x*t) '''+''' (X0)

@@ Line 128: / Line 128: @@
 == OK I've analysed the maths functions but how do I put them into Synfig? ==
-Well, in the example of the cannon and ball, I've assigned the X and Y values to the X and Y values of the centre of the circle that defines the bullet. You can assign the mathematical equations to any of the convertible parameters that exist in any layer.
+Well, in the example of the cannon and ball, I've assigned the X and Y values to the X and Y values of the centre of the circle that defines the bullet. You can assign the mathematical equations to any of the {{l|Convert|convertible parameters}} that exist in any layer.
-So you have to go to the circle Center parameter, right click, and select 'Convert -> Composite' from the context menu. Once done you'll obtain two sub-parameters: 'X-axis' and 'Y-axis'.
+Go to the circle Center parameter, right click, and select 'Convert -> Composite' from the context menu. Once done you'll obtain two sub-parameters: 'X-axis' and 'Y-axis'.
-All that you need to do is right click on the corresponding parameter that you obtain after each convert type and select the correct conversion type from the analysis you have done before. Then you will convert sequentially each sub-parameter to the proper one.
+Right click on the corresponding parameter that you obtain after each convert type and select the correct conversion type from the analysis you have done before. Then you will convert sequentially each sub-parameter to the proper one.
-Once done you should export the most simple terms to allow easy modification by the user or to allow multiple links in the same formulae. For example the 't' variable (the time for the mathematical equation) is used several times. You should export it only once. The rest of times that 't' appears you should select the exported 't' Valuenode from the child dialog and right click and 'Connect' to connect with it.
+Once done you should export the most simple terms to allow easy modification or reuse. For example, the ''t'' variable (the time for the mathematical equation) is used in more than one place. You should export it only once. The rest of the times that ''t'' appears you should select the exported ''t'' Valuenode from the child dialog, right click and 'Connect' to reuse it.
 Once done you should obtain something like this: