HP 48GII User Manual

2-14 RPL Programming Examples
Expanding and Collecting Completely
This section contains two programs:
! MULTI repeats a program until the program has no effect on its argument.
! EXCO calls MULTI to completely expand and collect an algebraic.
MULTI (Multiple Execution)
Given an object and a program that acts on the object, MULTI applies the program to the object repeatedly until
the program no longer changes the object.
Level 2
Level 1
"
Level 1
object «program»
"
object
result
Techniques used in MULTI
! DO…UNTIL…END (indefinite loop). The DO clause contains the steps to be repeated. The UNTIL
clause contains the test that repeats both clauses again (if false) or exits (if true).
! Programs as arguments. Although programs are commonly named and then executed by calling their
names, programs can also be put on the stack and used as arguments to other programs.
! Evaluation of local variables. The program argument to be executed repeatedly is stored in a local variable.
It's convenient to store an object in a local variable when you don't know beforehand how many copies you'll
need. An object stored in a local variable is simply put on the stack when the local variable is evaluated.
MULTI uses the local variable name to put the program argument on the stack and then executes EVAL to
execute the program.
MULTI program listing
Program: Comments:
"!
#!q!
Creates a local variable p that contains the
program from level 1.
"!
4L!
452!
!
!
q!<NBE!
!
452!
KL:!
5=:6E!
DBM<!
!
!
<=4!
»!
Begins the defining procedure.
Begins the DO loop clause.
Makes a copy of the object, now in level 1.
Applies the program to the object, returning
its new version.
Makes a copy of the new object.
Moves the old version to level 1.
Begins the DO test clause.
Tests whether the old version and the new
version are the same.
Ends the DO structure.
Ends the defining procedure.
»
`OMULTI K
Stores the program in MULTI.
Checksum: # 22693d
Bytes: 56

HP 48GII Specifications

General

Battery type	CR2032
Type	Scientific
Form factor	Pocket

Weight and Dimensions

Weight	220 g
Dimensions (WxDxH)	184 x 87 x 23.5 mm

Summary

RPL Programming

Understanding Programs

Programs as objects, delimiters, and basic structure.

Entering and Executing Programs

Details on how to create, store, and run programs.

Using Conditional Structures

Covers IF, CASE, IFT, IFTE structures for program decision-making.

Input and Output Commands

Details commands like PROMPT, INPUT, INFORM, CHOOSE for user interaction.

RPL Programming Examples

Fibonacci Numbers

Demonstrates recursive and loop-based Fibonacci calculations.

Minimum and Maximum Array Elements

Details finding min/max elements using MNX and MNX2.

Applying a Program to an Array

Explains the APLY command for transforming array elements.

Full Command and Function Reference

How to Access Commands and Functions

Explains key presses and menu paths to access commands.

ABS (Absolute Value)

Details the absolute value function and its array behavior.

ACOS (Arc Cosine)

Explains the inverse cosine function, domain, and range.

Computer Algebra Commands

CAS Operations

Overview of CAS operations and their categorization by menu.

Algebra commands

Lists and describes commands for algebraic manipulation.

Calculus Commands

Covers derivation, integration, and limit commands.

Equation Reference

Columns and Beams (1)

Provides equations for structural mechanics.

Electricity (2)

Lists equations related to electrical circuits and laws.

Fluids (3)

Covers equations for fluid mechanics.

The Development Library

Introduction

Explains the purpose and usage of the development library.

Tools for Development

Details APEEK, PEEK, POKE, POKEARM commands.

MASD Compiler

Discusses syntax, modes, and directives for MASD.

Error and Status Messages

Messages Listed Alphabetically

Alphabetical list of error messages.

Messages Listed Numerically

Numerical list of error messages by hex code.

System Flags

System Flags (continued)

Description of various system flags.

System Flags (continued)

Continuation of system flags description.

Reserved Variables

Contents of the Reserved Variables

Explanation of key reserved variables.

PPAR

Details plotting parameters.

Technical Reference

Object Sizes

Lists object sizes in bytes.

Symbolic Integration Patterns

Provides a table of symbolic integration patterns.

Parallel Processing With Lists

General rules for parallel processing

Explains conditions for parallel list processing.

Group 4: ADD and +

Describes how ADD and + handle parallel list operations.

Keyboard Shortcuts

Press and Hold key combinations

Lists functions performed by key combinations.

Shifted softkeys

Explains shift key effects on menu labels.

The Menu-Number Table

-- menus 0-117 are semi-compatible with 48G menus --

Menu numbers and paths for built-in menus.

-- New Library 222 commands --

Details commands available in Library 222.