TSA (Animating Taylor’s Polynomials)

TSA displays in succession each graphics object created in SETTS.

Techniques used in TSA

Passing a global variable. Because SETTS takes several minutes to execute, TSA does not call SETTS. Instead, you must first execute SETTS to create the global variable TSL containing the list of graphics objects. TSA simply executes that global variable to put the list on the stack.

ANIMATE. TSA uses the ANIMATE command to display in succession each graphics object from the list.

TSA program listing

 

 

 

 

 

 

 

Program:

Comments:

 

 

 

 

 

 

«

 

 

 

TSL OBJ→

Puts the list TSL on the

 

 

 

stack and converts it to 10

 

 

 

graphics objects and the list

 

 

 

count.

 

 

{ { #0 #0 } .5 0 } +

Set up the parameters for

 

 

 

ANIMATE.

 

 

ANIMATE

Displays the graphics in

 

 

 

succession.

 

 

11 DROPN

Removes the graphics objects

 

 

 

and list count from the stack.

 

 

»

 

 

 

 

 

 

 

`OTSA K

Stores the program in TSA.

 

 

 

 

 

 

Checksum: # 24644d

 

Bytes:

92.5

 

 

Example: Execute SETTS and TSA to build and display in succession a series of Taylor’s polynomial approximations of the sine function.

Ensure Radians mode is set and execute SETTS to build the list of graphics objects. (SETTS takes several minutes to execute.) Then execute TSA to display each plot in succession. The display shows TSA in progress.

!&H %!ANGLE% %!RAD% ( if necessary)

J%SETTS%

%TSA%

Press −to stop the animation. Press !&H %!ANGLE% %!DEG% to restore Degrees mode if desired.

RPL Programming Examples 2-33