Hp 50g User manual

HP 50g / 49g+ / 48gII graphing calculator

advanced user’s reference manual

advanced user’s reference manualadvanced user’s reference manual

advanced user’s reference manual

Edition 2

HP part number F2228-90010

Printed Date: 2009 7 14

Notice

THIS MANUA AND ANY EXAMP ES CONTAINED HEREIN ARE PROVIDED “AS IS” AND ARE

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FOR A PARTICU AR PURPOSE.

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CONSEQUENTIA DAMAGES IN CONNECTION WITH THE FURNISHING, PERFORMANCE, OR

USE OF THIS MANUA OR THE EXAMP ES CONTAINED HEREIN.

Reproduction, adaptation, or translation of this manual is prohibited without prior written permission of Hewlett-

Packard Company, except as allowed under the copyright laws.

Hewlett-Packard Company

4995 Murphy Canyon Rd,

Suite 301

San Diego, CA 92123

Acknowledgements

Hewlett-Packard would like to thank the following for their contribution:

Jordi Hidalgo, Joe Horn, Tony Hutchins, Ted Kerber, Wlodek Mier-Jedrzejowicz, Richard Nelson, Eric Rechlin,

Jake Schwartz and Gene Wright.

Printing History

Edition 1 September 2005

Edition 2 July 2009

Contents - 1

Contents

Contents ............................................................................................................................................................................................... 1

1. RP Programming.......................................................................................................................................................................1-1

Understanding Programming.................................................................................................................................................1-1

The Contents of a Program.............................................................................................................................................1-1

Calculations in a Program................................................................................................................................................1-2

Entering and Executing Programs ........................................................................................................................................1-3

Viewing and Editing Programs ..............................................................................................................................................1-6

Creating Programs on a Computer........................................................................................................................................1-7

Using ocal Variables..............................................................................................................................................................1-7

Creating ocal Variables..................................................................................................................................................1-7

Evaluating ocal Names..................................................................................................................................................1-9

Defining the Scope of ocal Variables..........................................................................................................................1-9

Compiled ocal Variables..............................................................................................................................................1-10

Creating User-Defined Functions as Programs.........................................................................................................1-10

Using Tests and Conditional Structures .............................................................................................................................1-11

Testing Conditions..........................................................................................................................................................1-11

Using Conditional Structures and Commands...........................................................................................................1-13

Using oop Structures...........................................................................................................................................................1-17

Using Definite oop Structures....................................................................................................................................1-17

Using Indefinite oop Structures.................................................................................................................................1-22

Using oop Counters.....................................................................................................................................................1-25

Using Summations Instead of oops..........................................................................................................................1-26

Using Flags ..............................................................................................................................................................................1-27

Types of Flags..................................................................................................................................................................1-27

Setting, Clearing, and Testing Flags.............................................................................................................................1-27

Recalling and Storing the Flag States...........................................................................................................................1-28

Using Subroutines ..................................................................................................................................................................1-29

Single-Stepping through a Program.....................................................................................................................................1-31

Trapping Errors......................................................................................................................................................................1-33

Causing and Analyzing Errors......................................................................................................................................1-33

Making an Error Trap....................................................................................................................................................1-35

Input.........................................................................................................................................................................................1-37

Data Input Commands ..................................................................................................................................................1-37

Using PROMPT, CONT for Input.............................................................................................................................1-37

Using DISP FREEZE HA T, CONT for Input......................................................................................................1-39

Using INPUT, ENTER for Input ...............................................................................................................................1-40

Using INFORM and CHOOSE for Input.................................................................................................................1-45

Beeping to Get Attention..............................................................................................................................................1-48

Stopping a Program for Keystroke Input...........................................................................................................................1-48

Using WAIT for Keystroke Input................................................................................................................................1-48

Using KEY for Keystroke Input..................................................................................................................................1-49

Output ..............................................................................................................................................................................1-49

Data Output Commands...............................................................................................................................................1-49

abeling Output with Tags............................................................................................................................................1-50

abeling and Displaying Output as Strings ................................................................................................................1-50

Pausing to Display Output............................................................................................................................................1-51

Using MSGBOX to Display Output...........................................................................................................................1-51

Using Menus with Programs ................................................................................................................................................1-52

Using Menus for Input...................................................................................................................................................1-52

Using Menus to Run Programs ....................................................................................................................................1-53

Turning Off the Calculator from a Program .....................................................................................................................1-55

2. RP Programming Examples....................................................................................................................................................2-1

Contents - 2

Fibonacci Numbers..................................................................................................................................................................2-1

FIB1 (Fibonacci Numbers, Recursive Version)...........................................................................................................2-1

FIB2 (Fibonacci Numbers, oop Version....................................................................................................................2-2

FIBT (Comparing Program-Execution Time).............................................................................................................2-4

Displaying a Binary Integer.....................................................................................................................................................2-5

PAD (Pad with eading Spaces).....................................................................................................................................2-5

PRESERVE (Save and Restore Previous Status)........................................................................................................2-6

BDISP (Binary Display)...................................................................................................................................................2-7

Median of Statistics Data ......................................................................................................................................................2-10

%TI E (Percentile of a list)..........................................................................................................................................2-10

MEDIAN (Median of Statistics Data).........................................................................................................................2-11

Expanding and Collecting Completely................................................................................................................................2-13

MU TI (Multiple Execution) .......................................................................................................................................2-14

EXCO (Expand and Collect Completely) ..................................................................................................................2-15

Minimum and Maximum Array Elements..........................................................................................................................2-16

MNX (Minimum or Maximum Element—Version 1).............................................................................................2-16

MNX2 (Minimum or Maximum Element—Version 2)...........................................................................................2-18

Applying a Program to an Array..........................................................................................................................................2-20

Converting Between Number Bases ...................................................................................................................................2-22

Verifying Program Arguments.............................................................................................................................................2-24

NAMES (Check ist for Exactly Two Names).........................................................................................................2-25

NAMES...................................................................................................................................................................................2-26

Converting Procedures from Algebraic to RPN...............................................................................................................2-27

Bessel Functions.....................................................................................................................................................................2-29

Animation of Successive Taylor’s Polynomials.................................................................................................................2-31

SINTP (Converting a Plot to a Graphics Object).....................................................................................................2-31

Techniques used in SINTP ...........................................................................................................................................2-31

SETTS (Superimposing Taylor’s polynomials)..........................................................................................................2-32

TSA (Animating Taylor’s Polynomials).......................................................................................................................2-33

Programmatic Use of Statistics and Plotting......................................................................................................................2-34

Trace Mode .............................................................................................................................................................................2-37

Inverse-Function Solver........................................................................................................................................................2-38

Animating a Graphical Image...............................................................................................................................................2-39

3. Full Command and Function Reference..................................................................................................................................3-1

ABCUV......................................................................................................................................................................................3-5

ABS.............................................................................................................................................................................................3-5

ACK............................................................................................................................................................................................3-5

ACKA ...................................................................................................................................................................................3-6

ACOS .........................................................................................................................................................................................3-6

ACOS2S.....................................................................................................................................................................................3-7

ACOSH......................................................................................................................................................................................3-8

ADD...........................................................................................................................................................................................3-9

ADDTMOD.............................................................................................................................................................................3-9

ADDTOREA .......................................................................................................................................................................3-10

A GB.......................................................................................................................................................................................3-10

A OG......................................................................................................................................................................................3-10

AMORT...................................................................................................................................................................................3-11

AND.........................................................................................................................................................................................3-11

ANIMATE..............................................................................................................................................................................3-12

ANS..........................................................................................................................................................................................3-12

APP Y.....................................................................................................................................................................................3-13

ARC..........................................................................................................................................................................................3-13

ARCHIVE...............................................................................................................................................................................3-14

ARG..........................................................................................................................................................................................3-14

ARIT.........................................................................................................................................................................................3-15

ARRY→...................................................................................................................................................................................3-15

Contents - 3

→ARRY...................................................................................................................................................................................3-15

ASIN.........................................................................................................................................................................................3-15

ASIN2C....................................................................................................................................................................................3-17

ASIN2T....................................................................................................................................................................................3-17

ASINH.....................................................................................................................................................................................3-17

ASN..........................................................................................................................................................................................3-18

ASR...........................................................................................................................................................................................3-19

ASSUME .................................................................................................................................................................................3-19

ATAN ......................................................................................................................................................................................3-20

ATAN2S..................................................................................................................................................................................3-21

ATANH...................................................................................................................................................................................3-22

ATICK.....................................................................................................................................................................................3-22

ATTACH.................................................................................................................................................................................3-23

AUGMENT............................................................................................................................................................................3-23

AUTO ......................................................................................................................................................................................3-24

AXES........................................................................................................................................................................................3-24

AX ..........................................................................................................................................................................................3-25

AXM.........................................................................................................................................................................................3-25

AXQ.........................................................................................................................................................................................3-26

BAR ..........................................................................................................................................................................................3-26

BARP OT...............................................................................................................................................................................3-27

BASIS.......................................................................................................................................................................................3-27

BAUD ......................................................................................................................................................................................3-27

BEEP........................................................................................................................................................................................3-28

BESTFIT.................................................................................................................................................................................3-28

BIN...........................................................................................................................................................................................3-28

BINS.........................................................................................................................................................................................3-29

B ANK....................................................................................................................................................................................3-29

BOX .........................................................................................................................................................................................3-29

BUF EN.................................................................................................................................................................................3-30

BYTES.....................................................................................................................................................................................3-30

B→R.........................................................................................................................................................................................3-30

C$..............................................................................................................................................................................................3-31

C2P ...........................................................................................................................................................................................3-31

CASCFG..................................................................................................................................................................................3-31

CASCMD.................................................................................................................................................................................3-32

CASE........................................................................................................................................................................................3-32

CEI .........................................................................................................................................................................................3-33

CENTR....................................................................................................................................................................................3-33

CF..............................................................................................................................................................................................3-33

%CH.........................................................................................................................................................................................3-33

CHINREM..............................................................................................................................................................................3-34

CHO ESKY...........................................................................................................................................................................3-34

CHOOSE ................................................................................................................................................................................3-35

CHR..........................................................................................................................................................................................3-35

CIRC.........................................................................................................................................................................................3-36

CKSM.......................................................................................................................................................................................3-36

C EAR.....................................................................................................................................................................................3-37

C KADJ..................................................................................................................................................................................3-37

C CD ....................................................................................................................................................................................3-37

C OSEIO ...............................................................................................................................................................................3-37

C Σ...........................................................................................................................................................................................3-38

C USR.....................................................................................................................................................................................3-38

C VAR ....................................................................................................................................................................................3-38

CMP X....................................................................................................................................................................................3-38

CNRM......................................................................................................................................................................................3-38

Contents - 4

→CO .....................................................................................................................................................................................3-39

CO → .....................................................................................................................................................................................3-39

CO –........................................................................................................................................................................................3-39

CO +.......................................................................................................................................................................................3-40

CO CT....................................................................................................................................................................................3-40

CO ECT...............................................................................................................................................................................3-40

CO Σ.......................................................................................................................................................................................3-41

COMB......................................................................................................................................................................................3-41

CON.........................................................................................................................................................................................3-41

COND .....................................................................................................................................................................................3-42

CONIC ....................................................................................................................................................................................3-43

CONJ .......................................................................................................................................................................................3-43

CON IB..................................................................................................................................................................................3-44

CONST....................................................................................................................................................................................3-44

CONSTANTS ........................................................................................................................................................................3-44

CONT......................................................................................................................................................................................3-45

CONVERT.............................................................................................................................................................................3-45

CORR.......................................................................................................................................................................................3-45

COS ..........................................................................................................................................................................................3-46

COSH.......................................................................................................................................................................................3-46

COV .........................................................................................................................................................................................3-46

CR .............................................................................................................................................................................................3-47

CRDIR .....................................................................................................................................................................................3-47

CROSS .....................................................................................................................................................................................3-47

CSWP .......................................................................................................................................................................................3-47

CUR .......................................................................................................................................................................................3-48

CYC OTOMIC.....................................................................................................................................................................3-48

CY IN .....................................................................................................................................................................................3-48

C→PX......................................................................................................................................................................................3-49

C→R.........................................................................................................................................................................................3-49

DARCY....................................................................................................................................................................................3-49

DATE.......................................................................................................................................................................................3-49

→DATE..................................................................................................................................................................................3-50

DATE+....................................................................................................................................................................................3-50

DBUG......................................................................................................................................................................................3-50

DDAYS....................................................................................................................................................................................3-51

DEC..........................................................................................................................................................................................3-51

DECR.......................................................................................................................................................................................3-51

DEDICACE ...........................................................................................................................................................................3-52

DEF..........................................................................................................................................................................................3-52

DEFINE..................................................................................................................................................................................3-52

DEG.........................................................................................................................................................................................3-53

DEGREE................................................................................................................................................................................3-53

DE A ARM ..........................................................................................................................................................................3-53

DE AY....................................................................................................................................................................................3-54

DE KEYS ..............................................................................................................................................................................3-54

DEPND...................................................................................................................................................................................3-55

DEPTH....................................................................................................................................................................................3-55

DERIV.....................................................................................................................................................................................3-56

DERVX ...................................................................................................................................................................................3-56

DESO VE..............................................................................................................................................................................3-56

DET..........................................................................................................................................................................................3-57

DETACH................................................................................................................................................................................3-57

DIAG→...................................................................................................................................................................................3-58

→DIAG...................................................................................................................................................................................3-58

DIAGMAP..............................................................................................................................................................................3-58

Contents - 5

DIFF.........................................................................................................................................................................................3-59

DIFFEQ..................................................................................................................................................................................3-59

DIR...........................................................................................................................................................................................3-60

DISP.........................................................................................................................................................................................3-60

DISPXY...................................................................................................................................................................................3-61

DISTRIB..................................................................................................................................................................................3-61

DIV...........................................................................................................................................................................................3-62

DIV2.........................................................................................................................................................................................3-62

DIV2MOD..............................................................................................................................................................................3-62

DIVIS.......................................................................................................................................................................................3-63

DIVMOD................................................................................................................................................................................3-63

DIVPC .....................................................................................................................................................................................3-63

dn ..............................................................................................................................................................................................3-64

DO............................................................................................................................................................................................3-64

DOERR...................................................................................................................................................................................3-65

DO IST...................................................................................................................................................................................3-65

DOMAIN................................................................................................................................................................................3-66

DOSUBS .................................................................................................................................................................................3-66

DOT.........................................................................................................................................................................................3-67

DRAW .....................................................................................................................................................................................3-68

DRAW3DMATRIX ..............................................................................................................................................................3-68

DRAX ......................................................................................................................................................................................3-68

DROITE..................................................................................................................................................................................3-69

DROP ......................................................................................................................................................................................3-69

DROP2 ....................................................................................................................................................................................3-69

DROPN...................................................................................................................................................................................3-70

DTAG......................................................................................................................................................................................3-70

DUP..........................................................................................................................................................................................3-70

DUP2........................................................................................................................................................................................3-70

DUPDUP ................................................................................................................................................................................3-71

DUPN......................................................................................................................................................................................3-71

D→R........................................................................................................................................................................................3-71

e.................................................................................................................................................................................................3-71

EDIT........................................................................................................................................................................................3-72

EDITB .....................................................................................................................................................................................3-72

EGCD......................................................................................................................................................................................3-72

EGV .........................................................................................................................................................................................3-73

EGV .......................................................................................................................................................................................3-73

E SE........................................................................................................................................................................................3-73

END.........................................................................................................................................................................................3-73

ENDSUB.................................................................................................................................................................................3-74

ENG.........................................................................................................................................................................................3-74

EPSX0......................................................................................................................................................................................3-74

EQN IB..................................................................................................................................................................................3-75

EQW ........................................................................................................................................................................................3-75

EQ→........................................................................................................................................................................................3-75

ERASE.....................................................................................................................................................................................3-75

ERR0........................................................................................................................................................................................3-76

ERRM ......................................................................................................................................................................................3-76

ERRN.......................................................................................................................................................................................3-76

EU ER ....................................................................................................................................................................................3-76

EVA .......................................................................................................................................................................................3-77

EX R .......................................................................................................................................................................................3-77

EXP& N.................................................................................................................................................................................3-78

EXP ..........................................................................................................................................................................................3-78

EXP2HYP...............................................................................................................................................................................3-79

Contents - 6

EXP2POW..............................................................................................................................................................................3-79

EXPAN....................................................................................................................................................................................3-79

EXPAND................................................................................................................................................................................3-80

EXPANDMOD.....................................................................................................................................................................3-80

EXPFIT...................................................................................................................................................................................3-81

EXP N....................................................................................................................................................................................3-81

EXPM ......................................................................................................................................................................................3-81

EYEPT.....................................................................................................................................................................................3-81

F0λ ............................................................................................................................................................................................3-82

FACT........................................................................................................................................................................................3-82

FACTOR.................................................................................................................................................................................3-82

FACTORMOD......................................................................................................................................................................3-83

FACTORS...............................................................................................................................................................................3-83

FANNING..............................................................................................................................................................................3-84

FAST3D...................................................................................................................................................................................3-84

FCOEF ....................................................................................................................................................................................3-85

FC?............................................................................................................................................................................................3-85

FC?C.........................................................................................................................................................................................3-85

FDISTRIB...............................................................................................................................................................................3-86

FFT...........................................................................................................................................................................................3-86

FI ER ......................................................................................................................................................................................3-87

FINDA ARM........................................................................................................................................................................3-87

FINISH....................................................................................................................................................................................3-87

FIX............................................................................................................................................................................................3-87

F ASHEVA .........................................................................................................................................................................3-88

F OOR....................................................................................................................................................................................3-88

FONT6 ....................................................................................................................................................................................3-88

FONT7 ....................................................................................................................................................................................3-89

FONT8 ....................................................................................................................................................................................3-89

FONT→..................................................................................................................................................................................3-89

→FONT..................................................................................................................................................................................3-89

FOR..........................................................................................................................................................................................3-90

FOURIER ...............................................................................................................................................................................3-91

FP..............................................................................................................................................................................................3-91

FREE........................................................................................................................................................................................3-91

FREEZE..................................................................................................................................................................................3-91

FROOTS .................................................................................................................................................................................3-92

FS?.............................................................................................................................................................................................3-92

FS?C..........................................................................................................................................................................................3-93

FUNCTION...........................................................................................................................................................................3-93

FXND......................................................................................................................................................................................3-94

GAMMA..................................................................................................................................................................................3-95

GAUSS.....................................................................................................................................................................................3-95

GBASIS....................................................................................................................................................................................3-95

GCD.........................................................................................................................................................................................3-96

GCDMOD..............................................................................................................................................................................3-96

GET..........................................................................................................................................................................................3-96

GETI........................................................................................................................................................................................3-97

GOR.........................................................................................................................................................................................3-98

GRAD......................................................................................................................................................................................3-98

GRAMSCHMIDT .................................................................................................................................................................3-99

GRAPH ...................................................................................................................................................................................3-99

GREDUCE.............................................................................................................................................................................3-99

GRIDMAP............................................................................................................................................................................3-100

→GROB................................................................................................................................................................................3-100

GROB ....................................................................................................................................................................................3-101