HP 48GII User Manual

RPL Programming Examples 2-15
MULTI is demonstrated in the next programming example.
EXCO (Expand and Collect Completely)
EXCO repeatedly executes EXPAN on an algebraic until the algebraic doesn't change, then repeatedly executes
COLCT until the algebraic doesn't change. In some cases the result will be a number.
Expressions with many products of sums or with powers can take many iterations of EXPAN to expand
completely, resulting in a long execution time for EXCO.
Level 1 " Level 1
'algebraic'
"
'algebraic'
'algebraic'
"
z
Techniques used in EXCO
! Subroutines. EXCO calls the program MULTI twice. It is more efficient to create program MULTI and
simply call its name twice than write each step in MULTI two times.
Required Programs
! MULTI (Multiple Execution) repeatedly executes the programs that EXCO provides as arguments.
EXCO program listing
Program: Comments:
"!
"!<T2B=!1!
Puts a program on the stack as the
level 1 argument for MULTI.
The program executes the
EXPAN command.
M5E:6!
Executes EXPAN until the
algebraic object doesn't change.
"!OLEO:!1
Puts another program on the stack
for MULTI. The program
executes the COLCT command.
M5E:6
Executes COLCT until the
algebraic object doesn't change.
»
`OEXCO K
Stores the program in EXCO.
Checksum: # 41162d
Bytes: 65.5
Example: Expand and collect completely the expression:
3x 4yz+()8x 5z–()
2
+

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.