ÇÒÁÐÈÉÃ ÓÏÌÕÔÉÏÎÓ FOR ÃÏÍÁÌ 0.14 BY ÌOWELL ÔOMS ÒECENTLY, É RAN ACROSS A NEW HAND HELD CALCULATOR WHICH WAS ABLE TO PLOT FUNCTIONS ON A SLIGHTLY OVERSIZED ÌÃÄ SCREEN. ×ELL, IT WAS PRETTY NEAT, BUT THE LAST THING É NEED IS ANOTHER CALCULATOR. ×HILE A GRAPHING ROUTINE MAY BE A CHORE TO PROGRAM IN ÂÁÓÉÃ, ÃÏÍÁÌ IS A NATURAL FOR THE TASK. ÂEFORE YOU SKIP ON TO THE NEXT PROGRAM WHILE MUMBLING WHO NEEDS ANOTHER GRAPHING ROUTINE, YOU SHOULD KNOW THAT THIS ONE HAS SOME DIFFERENT CAPABILITIES. ÔHE ROUTINE CAN PLOT UP TO SIX EQUATIONS (Y=F(X)) ON THE SAME SCREEN. ÔHESE EQUATIONS ARE ENTERED AND DELETED WHILE THE PROGRAM IS RUNNING. ÔHE RANGE AND ORIGIN OF THE Ø AND Ù AXES ARE EASILY MODIFIED FROM WITHIN THE PROGRAM. ÆINALLY, A JOYSTICK CONTROLLED ROUTINE PRINTS THE COORDINATES OF ANY INTERESTING POINT TO THE SCREEN. ÔHIS ELIMINATES THE NEED FOR AN EXTENSIVE GRID, AND GIVES MUCH MORE ACCURATE RESULTS THAN THE EYEBALL APPROACH. ÈOPEFULLY, É'VE PIQUED YOUR CURIOSITY ENOUGH THAT YOU'RE READY TO LOAD THE PROGRAM. ÇRAPHIC'SOLUTIONS INCLUDES FOUR DIFFERENT PROCESSES. ×HEN THE INITIAL MENU SCREEN APPEARS YOU MAY SELECT TO ENTER A FUNCTION, DEFINE THE AXES, PLOT A FUNCTION, OR FIND A POINT ON YOUR PLOT. ÓELECT 1 AND A NEW MENU APPEARS WHICH ALLOWS YOU TO ENTER A FUNCTION, VIEW PREVIOUSLY ENTERED FUNCTIONS, CLEAR ALL FUNCTIONS, OR RETURN TO THE MAIN MENU. ÓELECT 1 AGAIN AND YOU ARE ASKED IN WHICH POSITION (1-6) YOU WANT TO PLACE YOUR FUNCTION. ÉF YOU HIT <ÒÅÔÕÒÎ>, THE FUNCTION IS AUTOMATICALLY PLACED IN THE FIRST OPEN POSITION, (ENTER ANOTHER NUMBER TO OVERWRITE A PREVIOUS ENTRY). ÎOW, YOU ARE ASKED TO ENTER YOUR FUNCTION: Ù=Ø^4+5*Ø^3-7*Ø^2-29*Ø+30 ÔHE COMPUTER PAUSES FOR A MOMENT WHILE THE FORMULA IS ENTERED. ÉF YOU'VE MADE A SYNTAX ERROR IN THE FORMULA, THE PROGRAM STOPS AND AN ERROR MESSAGE IS DISPLAYED. ÊUST CORRECT THE ERROR AND HIT <ÒÅÔÕÒÎ> UNTIL EACH DISPLAYED LINE IS ENTERED AND ÒÕÎ SENDS YOU BACK TO THE MAIN MENU. ÎOW, LET'S SET THE AXES. ÓELECT 2, AND YOU ARE ASKED TO SPECIFY THE ORIGIN. ÆOR THIS CASE, HIT <ÒÅÔÕÒÎ> AND THE DEFAULT VALUES OF 0,0 ARE ENTERED. ÎEXT, YOU'RE ASKED TO SET THE X TIC MARKS. ÈIT <ÒÅÔÕÒÎ> AND THE DEFAULT VALUE OF 1 IS ENTERED. ÆOR THE Y TIC MARKS, ENTER 10 AND HIT <ÒÅÔÕÒÎ>. ÔHE NEXT QUESTION ASKS IF YOU WANT THE ORIGIN AND TIC VALUES DISPLAYED ON THE GRAPH. ÈIT <ÒÅÔÕÒÎ>, AND THE VALUES WILL BE DISPLAYED. ÔHE MAIN MENU IS DISPLAYED AGAIN, WITH THE NEW VALUES SHOWN BELOW THE SET AXES SELECTION. ÉT'S FINALLY TIME TO PLOT. ÓELECT 3 FROM THE MENU, AND THEN SELECT 1 FROM THE PLOT MENU. ÅNTER 1 (OR -1 FOR FASTER, BUT CRUDER PLOT) OF FUNCTION 1. ×HEN THE FUNCTION PLOT IS COMPLETE, A > APPEARS IN THE UPPER LEFT CORNER. ÈIT ANY KEY, AND YOU WILL RETURN TO THE PLOT MENU. ÔYPE 3 TO RETURN TO THE MAIN MENU, AND SELECT 4. ÓELECTION 4 IS THE JOYSTICK POINT FINDING ROUTINE. ÐLUG YOUR JOYSTICK INTO PORT 2, SELECT 1, AND HIT <ÒÅÔÕÒÎ>. ÔHE PLOT REAPPEARS WITH THE TURTLE PRESENT AT THE SCREEN CENTER. ÔHE TURTLE SPEED CAN BE VARIED BY PRESSING THE + AND - KEYS. ÍOVE THE TURTLE TO THE POINT OF INTEREST AND HIT THE FIRE BUTTON. ÔHE POINT'S COORDINATES ARE DISPLAYED IN THE LOWER RIGHT CORNER. ÙOU'RE CERTAINLY NOT LIMITED TO GRAPHING POLYNOMIALS. ÓET THE AXES BACK TO THEIR DEFAULT VALUES (TYPE 2 FROM THE MAIN MENU AND THEN HIT <ÒÅÔÕÒÎ> TO ALL THE PROMPTS). ÅNTER Ù=ÔÁÎ(Ø) KEEPING THE SAME AXES AS BEFORE. ÎEXT TRY Ù=1/Ø. ÔHIS EQUATION WILL CREATE AN ERROR AT X=0 UNLESS YOU ANSWER Y TO THE AVOID A POINT? QUERY IN THE PLOT SECTION AND ENTER 0 AS THE POINT TO AVOID. ÓOME FUNCTIONS SUCH AS ÓÑÒ DON'T DIGEST NEGATIVE NUMBERS VERY WELL SO YOU HAVE THE OPTION OF SPECIFYING POSITIVE X VALUES ONLY. ÏF COURSE YOU COULD JUST SHIFT THE AXES, BUT YOU MAY WISH TO PLOT ANOTHER FUNCTION ON THE SAME SCREEN WITHOUT A SHIFTED ORIGIN. ÔHE PLOTTING OPTION ALSO ALLOWS AUTOMATIC PLOTTING OF ALL THE ENTERED FUNCTIONS BY SELECTING 7 (OR -7). ÙOU MUST PRESS A KEY WHEN THE > APPEARS, BUT THE ROUTINE STARTS PLOTTING THE NEXT FUNCTION INSTEAD OF RETURNING TO THE MENU. É WAS FORCED TO MAKE SOME COMPROMISES IN THE PROGRAM DUE TO THE 12K AVAILABLE MEMORY (AND MY INEXPERIENCE WITH ÃÏÍÁÌ). ÔHE MOST SERIOUS COMPROMISE WAS THE ELIMINATION OF THE BULK OF THE CODE COMMENTS. ÅVEN WITH MINIMAL COMMENTS, THE FREE MEMORY AVAILABLE IS ONLY ABOUT 1/2K, SO YOU MAY WANT TO WATCH THE MEMORY SIZE IF YOU ENTER LARGE FORMULAS. (ÙOU MUST HAVE AN EXPANDED MEMORY VERSION OF ÃÏÍÁÌ 0.14 TO RUN THIS PROGRAM. ÔHE ÈÉ PROGRAM ON THIS DISK EXPANDS MEMORY.) ÁNOTHER WARNING IS ALSO IN ORDER. ÄO NOT RENUMBER THE FIRST SECTION OF THE PROGRAM (LINES 1-999). ÔHIS SECTION IS THE AREA WHERE THE DYNAMIC KEYBOARD ROUTINE MODIFIES PROGRAM LINES. ÔHERE IS NO SCREEN DUMP UTILITY BUILT INTO THE PROGRAM, BUT THERE ARE PLENTY OF DUMP ROUTINES AVAILABLE (TRY THE ÕTILITIES #2). É HOPE YOU ENJOY THE PROGRAM, AND É WOULD LIKE TO THANK ÄICK ËLINGENS FOR HIS ÓÔÒ$ AND ÖÁÌ ROUTINE LISTED IN ÃÏÍÁÌ ÔODAY #12.