Calculator for Commodore 64 and other CBM BASIC models

 

Introduction

Wow! A new desktop calculator for Commodore.  Programmed all by myself in BASIC.  Wow, so impressed!   Or not.  Doesn't even have decimals.

No, it's not the best thing since sliced bread, but it was fun.  And it's just a start -- there's a bigger goal I'll get to in a while...

This was a puzzle programming exercise I challenged myself with.  How to make the calculator, especially with the operator precedence feature.

Link: LOAD"CALC64",8

Implementation

Let's go through how it was implemented.

User Interface

First was the design of the user interface, by creating PRINT statements.  Used reverse text to make a rectangular box with the keys displayed.

How to click on a key?  I'm so used to a mouse or touch interface.  Oops, Commodore doesn't have that usually, or not so easy.  Ignoring the 1351 mouse for now.   Most Commodore users are used to using the keyboard or joystick.  Forget the joystick, this is not a game!  Keyboard entry one key at a time will do just fine.  Note that ENTER also acts as =, and DEL is equivalent to ←, and X is a synonym for *.

Entry of digits was the first processing, accepting up to the limit of the display.  This stored as a string (V$) with keyed entries appended.

I started with 7 digits, but outgrew that in testing and increased to 9 digits.

At first, only positive numbers were supported, then fixed it to support negative numbers, with the negative sign taking up a position in the display.   The N key toggles a number entry between positive and negative and back again.

Entries allowed by this calculator are interleaved numbers and binary (two argument) operators.  Note that immediate operators like C and N usually take effect immediately, whereas binary operators require multiple arguments and a finalization (another binary operator or =).

There are exceptions allowed in entries to overwrite the prior value or the prior operator.   Examples:

• 1+1=3 keyed entries will replace the 2 with a 3
• 2+x3 will replace the addition operator with multiplication operator

Precedence needs a Stack

One design requirement I set for myself was to include operator precedence.  This means that multiplication and division have the same higher precedence over addition and subtraction at the same lower precedence.  Usually math is evaluated left to right, but due to precedence issues, other operators may need to be done first.  In other words the expression 1+2x3 is equivalent to 1 + (2x3) and then 1 + 6 and finally evaluates to 7.   But 1 x 2 + 3 is equivalent to (1x2) + 3, then 2 + 3, and finally 5.

I simply put numbers and operators interchangeably on a stack in order of entry until enough information is present to start evaluating.

Rule 1 - if user presses =, then evaluate

Rule 2 - if first operator is multiplication or division, once the second number is finalized with a second operator, simply evaluate the first expression

Rule 3 - if first operator is addition or subtraction, defer until the second operator and third number is finalized (third operator present!), then figure out what to do - either evaluate first or second expression, reducing the work

The stack is implemented as a count C, and an array of strings S$, which is expected to only grow up to 6 items (0..5), example C=6, S$[0]="1" [1]="+" [2]="2" [3]="*" [4]="3" [5]="+"

This example 1+2*3+ is reduced to 1+6+ and then to 7+, with the display updated to show the 7, but then wiped to disallow appending to it.

And no, I'm not doing RPN.  I didn't grow up with an HP calculator, nor am I implementing one today.  I grew up with Texas Instruments, and that's how my brain works.   Keeping it in entry order keeps it orderly for me.  Sure, there are other was to approach it.   This is BASIC, not Lisp.  And this is MY calculator, so I'm doing it MY way.  Others can follow their own paths.

Expression evaluation includes handling the equals = operation.  In the context of this calculator, that finalizes a calculation, meaning the user wants the result now.

Subroutines

There are several subroutines: 1) Evaluate and reduce stack, 2) Update display, 3) Display stack, 4) Evaluate simple expression involving two numbers and an operator.

That last subroutine is a diagnostic useful most for development, but also shows work in progress compared to a regular simple desk calculator that usually won't show pending work.

Error conditions

Overflow is when the number to be displayed doesn't fit in the 9 digit display, when the string representation of the number is long than 9 characters and/or larger than the maximum whole integer value that can be displayed in that space.   Note that the number is still internally represented and can still be acted on.  If a resulting answer can be displayed it will be (example: divide a ten digit positive number by 10).

Error indicates that division by zero was attempted.

Limitations

Only integers are supported.  No decimal numbers.  No currency.   Workaround required to calculate a percentage -- multiply by one hundred first, then divide by whole percentage.  And division results in a whole number so 1/3= results 0, and 5/2= evaluates to 2.

Non-negative numbers are limited 0 to 999999999 (nine digits).  Negative numbers are limited -1 to -99999999 (note only 8 digits).

Scientific notation is not supported.

No paper tape, no printout, no record of operations.

Limited user feedback.  No keypress indicators.

Stack diagnostic is a little technical, especially with a count, then colon, and the entries.  (Could eliminate the count and colon, and/or show previous and pending operators before and after the display.)

Keyboard entry.

Extras

The program was saved with a starting address $400, to support PET, so you must not load with secondary address 1 on a C64!  And while the program assumes a screen bigger than a VIC-20, a few minor changes to the margin and startup text can remedy that.

Next

What does the future hold?  Who can predict with any accuracy?  I can say anything here, but doesn't mean I'll follow through.  I originally was contemplating near limitless number of digits (considering the 8-bit platform, probably some 16-bit limitation).   Maybe binary and hex?   Maybe a scientific calculator?   Fixed decimal?   Near limitless decimals?   Port to assembly for fun!   We'll see...

Have fun calculating!