Apple iMalc 1.1.2 User Manual

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Summary of Contents

Page 1 - Calculate Different

Fruit is good for you.Enrich your life.iMalc Manualversion 1.1.2incorporating G3Calc, G4CalcPowerBookCalc, BronzeCalciBookCalc and MacCalcCalculate Di

Page 2 - 15th October 2000

Hidden functionsTo obtain further functions press and hold the option key. Ingeneral, the function obtained is the inverse of the normal oneeg sin bec

Page 3

Using the keyboardYou can also use the keyboard to operate the calculator. Thestandard number and keypad keys work, as do the operator andbackspace. R

Page 4 - Conventions

INF means infinity, and can be obtained through erroneousoperators such as division by zero.NANs are Not A Number and are other error codes, generally

Page 5 - Contents

InterfaceiMalc Manual7In common with most Macintosh applications, iMalc has a familiarinterface that consists of icons, windows and menus andconforms

Page 6 - List of illustrations

When you double-click on iMalc for the first time to start up theapplication, the first window you see is a Welcome screen:This screen offers you a ch

Page 7 - Introduction

After you have dismissed the Welcome screen, you are presentedwith the main iMalc calculator window in the default flavour ofBlueberry:This is a norma

Page 8

There are other windows that you can call up at any time. If youchoose About iMalc from the Apple menu, you are presented withthe About Box screen:The

Page 9

informative as this manual. The iMalc Help window looks like this:You can scroll down the contents in the box on the right to readthe help. Double cli

Page 10 - Quick Start

The Contacts and Credits window has buttons down the left:The top button is the default, and shows the version number,email and website addresses for

Page 11

lists the names of the beta testers who helped test and debugthe first version of iMalc.There are two other windows that you will see, the Reminderwin

Page 12

© 1999-2000 Eyecatcher Productions.All rights reserved.No part of this publication may bereproduced, stored in a retrievalsystem, or transmitted, in a

Page 13 - Interface

The Registration window has some very brief instructions on howto pay, using the Register iMalc program that comes with iMalc.There are three buttons,

Page 14

The menus in iMalc follow the Apple standard as outlined inAppleÕs Human Interface Guidelines, with only one addition to thestandard Apple set of Appl

Page 15

The Undo menu item is effectively the same as the CE, clear lastentry, key. It will clear the last operand input, but not the calculationtotal or prev

Page 16

Depending on your choice of flavour, both the About iMalc menuitem in the Apple menu, and the iMalc Help items will changetheir name to reflect your f

Page 17

iMalc is easy to use and looks like, and works similar to, anyother calculator that you might have used. You can click on thebuttons, or use the keybo

Page 18

In addition, more functions can be obtained by holding down theOption (Alt), key:Generally, the inverse of the function is obtained when holdingdown

Page 19

Number keysOperator keysDecimal point keyLogarithm to base 10 key10xor anti-logarithm to base 10 key (+ Option key)Natural logarithm (base e) keyexor

Page 20

Square root x (Ã) keyx2(x squared) key (+ Option key)Percent (%) key¹ (pi) key (+ Option key)Plus/Minus key1Úx (inverse of x ) key (+ Option key)Memor

Page 21

Or you can use the +/- before entering the number:Press 1Press 0Press 0Press xPress +/-Press 2Press =When employing the % key, you do not need to pres

Page 22

The last two keys are the ythroot of x and (with option keydown) xy(x to the power y). To use these keys enter the x valuefirst, then press the key. Y

Page 23

iMalcincorporating G3Calc, G4Calc, PowerBookCalc, BronzeCalc, iBookCalc and MacCalciMalc version 1.1.2© Tony Spencer, Eyecatcher Productions, 1999-200

Page 24 - Calculator Operation

The operand is the number to be operated on when the nextoperator key is pressed, and is effectively the number currently inthe display. An operator k

Page 25

All of the functions except the memory are accessible via thekeyboard too. Log base 10 is L, natural logs is N, percent is P,+/- is M, sin is S, cosin

Page 26 - The keys

iMalc ManualFlavoursFlavours26Changing iMalc's appearance is easy. Simply choose your flavourfrom the Flavour menu. Or use the shortcut keys.The

Page 27 - Operation

FlavoursiMalc ManualFlavours27Bondi iMalc Blueberry iMalcGrape iMalc Lime iMalc

Page 28

iMalc ManualFlavoursFlavours28Strawberry iMalc Tangerine iMalcGraphite iMalc Classic platinum MacCalc

Page 29 - The display

FlavoursiMalc ManualFlavours29G3Calc G4CalcPowerBookCalc BronzeCalc

Page 30 - Using the keyboard

iMalc ManualFlavoursFlavours30Blueberry iBookCalc Tangerine iBookCalcGraphite iBookCalc

Page 31 - The Preferences File

There are various technical considerations that should be borne inmind when using a computer to perform mathematicalcalculations. Most of the followin

Page 32 - Flavours

as binary floating-point numbers. Binary floating-point numberscan represent real numbers exactly in relatively few cases; in allother cases the repre

Page 33

If an invalid input is provided or if the result cannot berepresented exactly, a floating-point exception must be raised.Careful RoundingIf the resu

Page 34

iMalc ManualiviMalc runs under Mac OS 7.1 and later. It may work on earliersystem versions. iMalc has been tested on a PowerBook G3 andiMac running Ma

Page 35

Exception HandlingThe IEEE standard defines five exceptions that indicate when anexceptional event has occurred. They are invalid operation underflo

Page 36

blocks in numerical functions. The transcendental functionsinclude the usual logarithmic and exponential functions, as wellas ln(1+x) and ex-1; financ

Page 37 - How computers handle maths

each data format have a sign bit (s), an exponent field (e),and a fraction field (f). For each format, it lists requirements forthe minimum lengths of

Page 38

where± is the sign stored in the sign bit (1 is negative, 0 ispositive).significand has the form b0.b1b2b3. . . bprecision-1where b1b2b3. . . bprecisi

Page 39

Denormalized NumbersInstead of using only normalized numbers and allowing this smallgap around 0, PowerPC processor-based Macintosh computersuse denor

Page 40

NaNsWhen a numeric operation cannot produce a meaningful result,the operation delivers a special bit pattern called a NaN (Not-a-Number). For example,

Page 41

extreme negative underflows yield -0, expressions like 1/x3produce the correct sign for ° when x is tiny and negative.Addition and subtraction produce

Page 42

ln(+0) -°ln(-0) -°ln(NaN) NaNln(+°) +°ln(-°) NaNlog10(x) for x<0 NaNlog10(+1) +0log10(+0) -°log10(-0) -°log10(NaN) NaNlog10(+°) +°log10(-°) NaNsin(

Page 43

atan(NaN) NaNatan(+°)¹/2atan(-°) -¹/2You may occasionally see some error codes whilst using iMalc.You will get the warning 'imaginary' if yo

Page 44

0.1.0b1 First beta release, 12th September 1999.1.0.0 First release, 6th October 1999.¥ Added flavour for G4. Slightly changed flavour menu shortcuts.

Page 45

iv System requirements, conventions, assumptionsvi List of illustrations1 Introductionfeatures3 Quick Startfor those in a hurry7 Interfaceicons, windo

Page 46

¥ Key for input of exponents¥ Additional memories¥ Support for new flavours Sage, Indigo, Ruby and Snow¥ Hyperbolic functions¥ Key for factorial¥ Base

Page 47

RegistrationiMalc ManualRegistration45This section covers registration issues, such as the sharewareconcept, pricing, how to register and methods of p

Page 48 - Trigonometry units

iMalc ManualRegistrationRegistration46The following software licenses are available:Single user licenses:No of copies Price1-9 US$15 (£10) per copy10-

Page 49 - ¥ Changed log

RegistrationiMalc ManualRegistration47Registering is very easy.You can register and pay online, by email, fax or post.To handle registrations we use t

Page 50 - Proposed future enhancements

iMalc ManualRegistrationRegistration48Kagi handles payments from customers around the world andforwards payments on to software authors around the wor

Page 51 - Shareware

RegistrationiMalc ManualRegistration49and complete the relevant information (credit card number, typeof currency, etc.) below. Make checks payable to

Page 52

iMalc ManualRegistrationRegistration50Double check your registration request to see that all theinformation is correct, if not, correct it using the R

Page 53 - Registering

RegistrationiMalc ManualRegistration51their payment. Kagi cannot invoice your company, you need toact on our behalf and generate the invoice and handl

Page 54 - Payment Instructions

iMalc ManualRegistrationRegistration52messages sent. Please tell Kagi exactly what you want them todo/send to you.Payment-method: Card , Check and che

Page 55

About Eyecatcher ProductionsiMalc ManualAbout Eyecatcher Productions53iMalc is the first software available from Eyecatcher Productions.Eyecatcher Pro

Page 56

iMalc Manualvi7 iMalc icons8 Welcome screen9 Calculator window10 About Box window11 Help window12 Contacts and Credits window13 Reminder window14 Regi

Page 57

iMalc ManualLegal InformationLegal Information54The following is legal information which concerns copyright andyour software license which you should

Page 58 - Technical Support

Legal InformationiMalc ManualLegal Information55Machines Corporation. REALbasic is a trademark of RealSoftware, Inc. Adobe, the Adobe logo, Acrobat, D

Page 59 - Contacting Eyecatcher

iMalc ManualLegal InformationLegal Information56otherwise use it or make it available for use on more than onecomputer at the same time except on a po

Page 60 - Legal Information

Legal InformationiMalc ManualLegal Information57unenforceable, or contrary to law, that provision of theAgreement shall be enforced to the maximum ext

Page 61 - Software License

iMalc ManualOther InformationOther Information58Here is a selection of other useful information and web sites.Inside Macintosh reference books from Ap

Page 62

Other InformationiMalc ManualOther Information59Thanks are due to many people.Firstly to those who have paid their registration fees - hopefullythatÕs

Page 63

iMalc ManualOther InformationOther Information60Adobe http://www.adobe.comApple Computer http://www.apple.comApple Masters - famous people who use Mac

Page 64 - Bibliography

Mac Driver Museum http://members.xoom.com/macdrivers/MacEvangeList http://www.MacEvangeList.comMacFever http://www.macfever.comMacFormat http://www.ma

Page 65

iMalc ManualIndexIndex62% 3, 19, 22+/- 3, 21, 22¹ 4, 19, 21, 22Ã 21, 2210^x 22128-bit 361Úx 4, 19, 21, 2232-bit 3664-bit 3668k chip 31AAbout Box 10, 2

Page 66 - Useful contacts

IndexiMalc ManualIndex63denormalized numbers 37, 38display 23double 35double-double 35drag and drop 4EEdit menu 15email 12Enter 24equals 3, 22Error co

Page 67

IntroductioniMalc Manual1iMalc is a fully featured scientific calculator designed to replacethe standard Apple calculator. It offers more functions an

Page 68

iMalc ManualIndexIndex64Ooperand 23operator key 24Operator keys 18, 20option key 4, 19, 22Other Information 58Ppaste 4, 23payment 45Payment by cash 50

Page 69

IndexiMalc ManualIndex65Xx to the power y key 19x^2 21, 22x^y 4, 23Yyth root of x 4, 19, 20, 23Zzeroes 37, 39zoom box 19

Page 70

iMalc ManualIntroductionIntroduction2iMalc remembers the value stored in memory, the flavour andwindow position on quitting.Versions of iMalc are avai

Page 71

If youÕre in a hurry to start using iMalc and donÕt want to readthe manual at this stage then here are some quick startinstructions.Calculator operati

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