HP 50g Graphing Setts Superimposing Taylor’s polynomials, Techniques used in Setts, `Osetts K

SETTS (Superimposing Taylor’s polynomials)

SETTS superimposes successive Taylor’s polynomials on a sine curve and stores each graphics object in a list.

Techniques used in SETTS

Structured programming. SETTS calls SINTP to build a sine curve and convert it to a graphics object.

FOR…STEP (definite loop). SETTS calculates successive Taylor’s polynomials for the sine function in a definite loop. The loop counter serves as the value of the order of each polynomial.

Programmatic use of PLOT commands. SETTS draws a plot of each Taylor’s polynomial.

Manipulation of graphics objects. SETTS converts each Taylor’s polynomial plot into a graphics object. Then it executes + to combine each graphics object with the sine curve stored in SINT, creating nine new graphics objects, each the superposition of a Taylor’s polynomial on a sine curve. SETTS then puts the nine new graphics objects, and the sine curve graphics object itself, in a list.

SETTS program listing
		Program:	Comments:
		«
		SINTP	Plots a sine curve and stores
			the graphics object in SINT.
		1 17 FOR n	Sets the range for the FOR
			loop using local variable n.
		'SIN(X)' 'X' n TAYLR	Plots the Taylor’s polynomial
		STEQ ERASE DRAW	of order n.
		PICT RCL SINT +	Returns the plot to the stack
			as a graphics object and
			executes + to superimpose
			the sine plot from SINT.
		2 STEP	Increments the loop counter
			n by 2 and repeats the loop.
		SINT	Puts the sine curve graphics
		10 →LIST	object on the stack, then
		'TSL' STO	builds a list containing it and
			the nine graphics objects
			created in the loop. Stores the
			list in TSL.
		»
		`OSETTS K	Stores the program in
			SETTS.
Checksum: # 41304d
Bytes:	130.5

SETTS is demonstrated in the program TSA.

232 RPL Programming Examples