Pascal Programming/Records

The key to successful programming is finding the "right" structure of data and program.

—Niklaus Wirth[1]

After you have learned to use an array, this chapter introduces you to another data type structure concept called record. Like an array, the use of records primarily serves the purposes of allowing you to write clean, structured programs. It is otherwise optional.

Concept

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You briefly saw a record in the first chapter. While an array is a homogenous aggregation of data, that means all members have to have the same base data type, a record is potentially, but not necessarily an aggregation of data having various different data types.[2]

Declaration

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A record data type declaration looks pretty much like a collection of variable declarations:

program recordDemo;
type
	(* a standard line on a text console *)
	line = string(80);
	(* 1st grade through 12th grade *)
	grade = 1..12;
	
	(* encapsulate all administrative data in one structure *)
	student = record
			firstname: line;
			lastname: line;
			level: grade;
		end;

The declaration begins with the word record and ends with end. Inbetween you declare fields, or members, member elements of the entire record.

 
Here again the semicolon has the function of separating members. The keyword end will actually terminate a record declaration. Note, how in the following correct example there is no semicolon after the last member’s declaration:
program recordSemicolonDemo;
type
	sphere = record
			radius: real;
			volume: real;
			surface: real
		end;
Despite that, it is a frequent practice to put a semicolon there anyway, even though it is not necessary. You would otherwise too often simply add a new member below the last line, forgetting to add the semicolon in the preceding line and thus provoking a syntax error.

All record members have to bear distinct names within the record declaration itself. For instance in the example above, declaring two “variables”, member elements of the name level will be rejected.

There is no requirement on how many fields you have to declare. An “empty” record is also possible:[fn 1]

type
	emptyRecord = record
		end;

Many fields of the same data type

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Similar to the declaration of variables you can define multiple fields of the same data type at once by separating identifiers with a comma. The previous declaration of sphere could also be written as:

type
	sphere = record
			radius, volume, surface: real;
		end;

Most Pascal veterans and style guides, however, discourage the use of this shorthand notation (both for variable as well as record declarations, but also in formal parameter lists). It is only reasonable if all declared identifiers absolutely always have same data type; it is virtually guaranteed you will never want to change the data type of just one field in the comma-separated list. If in doubt, use the longhand. In programming, convenience plays a tangential role.

By declaring a record variable you immediately have the entire set of “sub”‑variables at your hand. Accessing them is done by specifying the record variable’s name, plus a dot (.), followed by the record field’s name:

var
	posterStudent: student;
begin
	posterStudent.firstname := 'Holden';
	posterStudent.lastname := 'Caulfield';
	posterStudent.level := 10;
end.

You already saw the dot notation in the previous chapter on strings, where appending .capacity on a name of a string() variable refers to the respective variable’s character capacity. This is not a coincidence.

However, especially beginners occasionally confuse the data type name with the variable’s name. The following code highlights the difference. Remember that a data type declaration does not reserve any memory and is mainly informative for the compiler, whereas a variable declaration actually sets some chunk of memory aside.
program dotNoGo(output); { This program does not compile. }
type
	line = string(80);
	quizItem = record
			question: line;
			answer: line;
		end;
var
	response: line;
	challenge: quizItem;
begin
	writeLn(line.capacity); { ↯ `line` is not a variable }
	writeLn(response.capacity); { ✔ correct }
	
	writeLn(quizItem.question); { ↯ `quizItem` refers to a data type }
	{ Data type declarations (as per definition) do not reserve any memory }
	{ thus you cannot “read/write” from/to a data type. }
	writeLn(challenge.question); { ✔ correct }
end.
And, as it has always been, you first need to assign a value to a variable before you are allowed to read it. The source code above ignores that to focus on the main issue. The key point is, the dot (.) notation is only valid if there is memory.[fn 2]


Advantages

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But why and when do we want to use a record? At first glance and in the given examples so far it may seem like a troublesome way to declare and use multiple variables. Yet the fact that a record is handled as one unit entails one big advantage:

  • You can copy entire record values via a simple assignment (:=).
  • This means you can pass much data at once: A record can be a parameter of routines, and in EP functions can return them as well.[fn 3]

Evidently you want to group data together that always appear together. It does not make sense to group unrelated data, just because we can. Another quite useful advantage is presented below in the section on variant records.

Routing override

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As you saw earlier, referring to members of a record can get a little tedious, because we are repeating the variable name over and over again. Fortunately, Pascal allows us abbreviate things a bit.

With-clause

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The with-clause allows us to eliminate repeating a common prefix, specifically the name of a record variable.[3]

begin
	with posterStudent do
	begin
		firstname := 'Holden';
		lastname := 'Caulfield';
		level := 10;
	end;
end.

All identifiers that identify values are first looked for in the record scope of posterStudent. If there is no match, all variable identifiers outside of the given record are considered too.

Of course it is still possible to denote a record member by its full name. E. g. in the source code above it would be perfectly legal to still write posterStudent.level within the with-clause. Concededly, this would defeat the purpose of the with-clause, but sometimes it may still be beneficial to emphasize the specific record variable just for documentation. It is nevertheless important to understand that the FQI, the fully-qualified identifier, the one with a dot in it, does not lose its “validity”.

In principle, all components of structured values “containing dots” can be abbreviated with with. This is also true for the data type string you have learned in the previous chapter.

program withDemo(input, output);
type
	{ Deutsche Post „Maxi-Telegramm“ }
	telegram = string(480);
var
	post: telegram;
begin
	with post do
	begin
		writeLn('Enter your telegram. ',
			'Maximum length = ',
			capacity, ' characters.');
		readLn(post);
		{ … }
	end;
end.

Here, within the with-clause capacity, and for that matter post.capacity, refer to post.capacity.

Multiple levels

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If multiple with-clauses ought to be nested, there is the short notation:

	with snakeOil, sharpTools do
	begin
		
	end;

which is equivalent to:

	with snakeOil do
	begin
		with sharpTools do
		begin
			
		end;
	end;

It is important to bear in mind, first identifiers in sharpTools are searched, and if there is no match, secondly, identifiers in snakeOil are considered.

Variant records

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In Pascal a record is the only data type structure concept that allows you to, so to speak, alter its structure during run-time, while a program is running. This super practical property of record permits us to write versatile code covering many cases.

Declaration

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Let’s take a look at an example:

type
	centimeter = 10..199;
	
	// order of female, male has been chosen, so `ord(sex)`
	// returns the [minimum] number of non-defective Y chromosomes
	sex = (female, male)
	
	// measurements according EN 13402 size designation of clothes [incomplete]
	clothingSize = record
			shoulderWidth: centimeter;
			armLength: centimeter;
			bustGirth: centimeter;
			waistSize: centimeter;
			hipMeasurement: centimeter;
			case body: sex of
				female: (
					underbustMeasure: centimeter;
				);
				male: (
				);
		end;

The variant part of a record starts with the keyword case, which you already know from selections. After that follows a record member declaration, the variant selector, but instead of a semicolon you put the keyword of thereafter. Below that follow all possible variants. Each variant is marked by a value out of the variant selector’s domain, here female and male. Separated by a colon (:) follows a variant denoter surrounded by parentheses. Here you can list additional record members that are only available if a certain variant is “active”. Note that all identifiers across all alternatives must be unique. The individual variants are separated by a semicolons, and there can be at most one variant part which has to appear at the end. Because you will need to be able to list all possible variants, the variant selector has to be an ordinal data type.

Using variant records requires you to first select a variant. Variants are “activated” by assigning a value to the variant selector. Note, variants are not “created”; they all already exist at program startup. You merely need to make a choice.

	boobarella.body := female;
	boobarella.underbustMeasure := 69;

Only after assigning a value to the variant selector and as long as this value remains unchanged, you are allowed to access any fields of the respective variant. It is illegal to reverse the previous two lines of code and attempt accessing the underbustMeasure field even though body is not defined yet and, more importantly, does not bear the value female.

It is certainly permissible to change the variant selector later in your program and then use a different variant, but all previously stored values in the variant part relinquish their validity and you cannot restore them. If you switch back the variant to a previous, original value, you will need to assign all values in that variant anew.

Application

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This concept opens up new horizons: You can design your programs more interactively in a neat fashion. You can now choose a variant based on run-time data (data that is read while the program is running). Because at any time (after the first assignment of a value to the variant selector) only one variant is “active”, your program will crash if it attempts reading/writing values of an “inactive” variant. This is a desirable behavior, because that is the whole idea of having distinct variants. It guarantees your programs overall integrity.

Anonymous variants

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Pascal also permits having anonymous variant selectors, that is selectors not bearing any name. The implications are

  • you cannot explicitly select (nor query) any variant, so
  • in turn all variants are considered “active” at the same time.

“But wasn’t this the object of the exercise?” you might ask. Yes, indeed, since there is no named selector your program cannot keep track which variant is supposed to work and which one is “defective”. You are responsible to determine which variant you can sensibly read/write at present.

Anonymous variants are/were frequently abused to implement “typecasts”. If you have an anonymous variant part, you can declare members bearing different data types which in turn determine the underlying data’s interpretation method. You can then exploit the fact that many (but not necessarily all) compilers put all variants in the same memory block.

  Code:

program anonymousVariantsDemo(output);
type
	bitIndex = 0..(sizeOf(integer) * 8 - 1);
	
	exposedInteger = record
			case Boolean of
				false: (
						value: integer;
					);
				true: (
						bit: set of bitIndex;
					);
		end;

var
	i: exposedInteger;
begin
	i.bit := [4];
	writeLn(i.value);
end.

  Output:

16
The value 16 is (and this should be considered “a coincidence”)  . We stress that all Pascal standards do not make any statement regarding internal memory structure. A high-level programming language is not concerned about how data is stored, it even does not know the notion of “bits”, “voltage high”/“voltage low”.
  Thus, if you are (intentionally) using any of this demonstrated behavior, you can not say “I am programming in Pascal” anymore, but you are programming specifically for the compiler so-and-so. The memory layout of data structures varies among Pascal implementations.
The example above, for example, was designed for and works with the GPC and the FPC in their default configurations. Do not deem it as “Pascal”, but a descendant of it. There is a good chance that using a different compiler will produce different results.

This concept exists in many other programming languages too. In the programming language C, for instance, it is called a union.

Conditional loops

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So far we have been exclusively using counting loops. This is great if you can predict in advance the number of iterations, how many times the loop’s body needs to be executed. Yet every so often it is not possible to formulate a proper expression determining the number of iterations in advance.

Conditional loops allow you to make the execution of the next iteration dependent on a Boolean expression. They come in two flavors:

  • Head-controlled loop, and
  • tail-controlled loop.

The difference is, the loop’s body of a tail-controlled loop is executed at least once in any case, whereas a head-controlled loop might never execute the loop body at all. In either case, a condition is evaluated over and over again and must uphold for the loop to continue.

Head-controlled loop

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A head-controlled loop is frequently called while-loop because of its syntax.

The “control” condition appears above the loop body, i. e. at the head.

  Code:

program characterCount(input, output);
type
	integerNonNegative = 0..maxInt;
var
	c: char;
	n: integerNonNegative;
begin
	n := 0;
	
	while not EOF do
	begin
		read(c);
		n := n + 1;
	end;
	
	writeLn('There are ', n:1, ' characters.');
end.

  Output:

$ cat ./characterCount.pas | ./characterCount
There are 240 characters.
$ printf '' '' | ./characterCount
There are 0 characters.
The loop’s condition is a Boolean expression framed by the words while and do. The condition must evaluate to true for any (subsequent) iteration to occur. As you can see from the output, in the second case, it may even be zero times: Evidently for empty input n := n + 1 was never executed.

EOF is shorthand for EOF(input). This standard function returns true if there is no further data available to read, commonly called end of file. It is illegal, and will horribly fail, to read from a file if the respective EOF function call returns true.

Unlike a counting loop, you are allowed to modify data the conditional loop’s condition depends on.

const
	(* instead of a hard-coded length `64` *)
	(* you can write `sizeOf(integer) * 8` in Delphi, FPC, GPC *)
	wordWidth = 64;
type
	integerNonNegative = 0..maxInt;
	wordStringIndex = 1..wordWidth;
	wordString = array[wordStringIndex] of char;

function binaryString(n: integerNonNegative): wordString;
var
	(* temporary result *)
	binary: wordString;
	i: wordStringIndex;
begin
	(* initialize `binary` with blanks *)
	for i := 1 to wordWidth do
	begin
		binary[i] := ' ';
	end;
	(* if n _is_ zero, the loop's body won't be executed *)
	binary[i] := '0';
	
	(* reverse Horner's scheme *)
	while n >= 1 do
	begin
		binary[i] := chr(ord('0') + n mod 2);
		n := n div 2;
		i := i - 1;
	end;
	
	binaryString := binary;
end;

The n the loop’s condition depends on will be repeatedly divided by two. Because the division operator is an integer division (div), at some point the value 1 will be divided by two and the arithmetically correct result 0.5 is truncated (trunc) toward zero. Yet the value 0 does not satisfy the loop’s condition anymore, thus there will not be any subsequent iterations.

Tail-controlled loop

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In a tail-controlled loop the condition appears below the loop’s body, at the foot. The loop’s body is always run once before even the condition is evaluated at all.

program repeatDemo(input, output);
var
	i: integer;
begin
	repeat
	begin
		write('Enter a positive number: ');
		readLn(i);
	end
	until i > 0;
	
	writeLn('Wow! ', i:1, ' is a quite positive number.');
end.

The loop’s body is encapsulated by the keywords repeat and until.[fn 4] After until follows a Boolean expression. In contrast to a while loop, the tail-controlled loop always continues, always keeps going, until the specified condition becomes true. A true condition marks the end. In the above example the user will be prompted again and again until he eventually complies and enters a positive number.

Date and time

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This section introduces you to features of Extended Pascal as defined in the ISO standard 10206. You will need an EP‑compliant compiler to use those features.

Time stamp

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In EP there is a standard data type called timeStamp. It is declared as follows:[fn 5]

type
	timeStamp = record
			dateValid: Boolean;
			timeValid: Boolean;
			year: integer;
			month: 1..12;
			day: 1..31;
			hour: 0..23;
			minute: 0..59;
			second: 0..59;
		end;

As you can see from the declaration, timeStamp also contains data fields for a calendar date, not just the time as indicated by a standard clock.

  A processor (i. e. usually a compiler) may provide additional (thus non-standard) fields. The GPC for instance supplies, among other fields, a field called timeZone indicating the offset in seconds versus UTC (“world time”).

Getting a time stamp

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EP also defines a unary procedure that populates a timeStamp variable with values. GetTimeStamp assigns values to all members of a timeStamp record passed in the first (and only) parameter. These values represent the “current date” and “current time” as at the invocation of this procedure. However, in the 1980’s not all (personal/home) computers did have a built-in “real time” clock. Therefore, the ISO standard 10206 devised prior 21st century stated that the word “current” was “implementation-defined”. The dateValid and timeValid fields were specifically inserted to address the issue that some computers simply do not know the current date and/or time. When reading values from a timeStamp variable, it is still advisable to check their validity first after having getTimeStamp fill them out.

If getTimeStamp was unable to obtain a “valid” value, it will set

  • day, month and year to a value representing January 1, 1 CE, but also dateValid to false.
  • In the case of time, hour, minute and second become all 0, a value representing midnight. The timeValid field becomes false.

Both are independent from each other, so it may certainly be the case that just the time could be determined, but the date is invalid.

Note that the Gregorian calendar was introduced during the year 1582 CE, so the timeStamp data type is generally useless for any dates before 1583 CE.

Printable dates and times

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Having obtained a timeStamp, EP furthermore supplies two unary functions:

  • date returns a human-readable string representation of day, month and year, and
  • time returns a human-readable string representation of hour, minute and second.

Both functions will fail and terminate the program if dateValid or timeValid indicate an invalid datum respectively. Note, the exact format of string representation is not defined by the ISO standard 10206.

Putting things together, consider the following program:

  Code:

program dateAndTimeFun(output);
var
	ts: timeStamp;
begin
	getTimeStamp(ts);
	
	if ts.dateValid then
	begin
		writeLn('Today is ', date(ts), '.');
	end;
	
	if ts.timeValid then
	begin
		writeLn('Now it is ', time(ts), '.');
	end;
end.

  Output:

Today is 11 Nov 2024.
Now it is 06:55:42.
The output may differ. Here, the GPC was used and the hardware had an RTC. It is needless to say, but also you might see nothing if both dateValid and timeValid are false.

Summary on loops

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This is a good time to take inventory and reiterate all kinds of loops.

Conditional loops

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Conditional loops are the tools of choice if you cannot predict the total number of iterations.

head-controlled loop tail-controlled loop
while condition do
begin
	
end;
 
repeat
begin
	
end
until condition;
condition must evaluate to true for any (including subsequent) iterations to occur. condition must be false for any subsequent iteration to occur.
comparison of conditional loops in Pascal

It is possible to formulate either loop as the other one, but usually one of them is more suitable. A tail-controlled loop is particularly suitable if you do not have any data yet to make a judgment, to evaluate a proper condition prior the first iteration.

Counting loops

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Counting loops are good if you can predict the total number of iterations before entering the loop.

counting up loop counting down loop
for controlVariable := initialValue to finalValue do
begin
	
end;
for controlVariable := initialValue downto finalValue do
begin
	
end;
After each non-final iteration controlVariable becomes succ(controlVariable). controlVariable must be less than or equal to finalValue for another iteration to occur. After each non-final iteration controlVariable becomes pred(controlVariable). controlVariable must be greater than or equal to finalValue for another iteration to occur.
comparison of counting loop directions in Pascal
  Both, the initialValue and finalValue expressions, are evaluated exactly once.[4] This is very different to conditional loops.

Inside counting loops’ bodies you cannot modify the counting variable, only read it. This prevents you from any accidental manipulations and ensures the calculated predicted total number of iterations will indeed occur.

  It is not guaranteed that controlVariable is finalValue “after” the loop. If there were exactly zero iterations, no assignments to controlVariable were made. Thus generally presume controlVariable is invalid/uninitialized after a for-loop unless you are absolutely sure there was at least one iteration.

Loops on aggregations

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If you are using an EP-compliant compiler, you furthermore have the option to use a for in loop on sets.

program forInDemo(output);
type
	characters = set of char;
var
	c: char;
	parties: characters;
begin
	parties := ['R', 'D'];
	for c in parties do
	begin
		write(c:2);
	end;
	writeLn;
end.

Tasks

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You have made it this far, and it is quite impressive how much you already know. Since this chapter’s concept of a record should not be too difficult to grasp, the following exercises mainly focus on training. A professional computer programmer spends most of his time on thinking what kind of implementation, using which tools (e. g. array “vs.” set), is the most useful/reasonable. You are encouraged to think first, before you even start typing anything. Nonetheless, sometimes (esp. due to your lack of experience) you need to just try things out, which is fine if it is intentional. Aimlessly finding a solution does not discern an actual programmer.

Can you have a record contain another record?
Like it was possible for an array to contain another array, this is quite possible for a record too. Write a test program to see for yourself. The important thing is to note that the dot-notation can be expanded indefinitely (myRecordVariable.topRecordFieldName.nestedRecordFieldName.doubleNestedRecordFieldName). Evidently at some point it becomes too difficult to read so use this wisely.
Like it was possible for an array to contain another array, this is quite possible for a record too. Write a test program to see for yourself. The important thing is to note that the dot-notation can be expanded indefinitely (myRecordVariable.topRecordFieldName.nestedRecordFieldName.doubleNestedRecordFieldName). Evidently at some point it becomes too difficult to read so use this wisely.


Write a loop that never ends, that means it is impossible that the loop will ever terminate. If your test program does not terminate, you most likely have achieved this task. On a standard Linux terminal you can then press Ctrl+C to forcefully kill the program.
There are two flavors of infinite loops:
while true do
begin
	
end;

The condidition needs to be negated in a repeat until loop:

repeat
begin
	
end
until false;
Infinite loops are very undesirable. While constant expressions like in these examples are easy to spot, tautologies, expressions that always evaluate to true, or expressions that can never be fulfilled (in the case of a repeat until loop), are not. For instance, given that i was an integer the loop while i <= maxInt do will run indefinitely, because i can never exceed maxInt[fn 6] and thus break the loop’s condition. Therefore be reminded to carefully formulate expressions for conditional loops and ensure it will eventually reach a terminating state. Otherwise it can be frustrating for the user of your program.
There are two flavors of infinite loops:
while true do
begin
	
end;

The condidition needs to be negated in a repeat until loop:

repeat
begin
	
end
until false;
Infinite loops are very undesirable. While constant expressions like in these examples are easy to spot, tautologies, expressions that always evaluate to true, or expressions that can never be fulfilled (in the case of a repeat until loop), are not. For instance, given that i was an integer the loop while i <= maxInt do will run indefinitely, because i can never exceed maxInt[fn 6] and thus break the loop’s condition. Therefore be reminded to carefully formulate expressions for conditional loops and ensure it will eventually reach a terminating state. Otherwise it can be frustrating for the user of your program.


Rewrite the following loop as a while-loop:
repeat
begin
	imagineJumpingSheep;
	sheepCount := sheepCount + 1;
	waitTwoSeconds;
end
until asleep;
The important thing is to realize is that the entire loop body is repeated above the while-loop even begins:
imagineJumpingSheep;
sheepCount := sheepCount + 1;
waitTwoSeconds;

while not asleep do
begin
	imagineJumpingSheep;
	sheepCount := sheepCount + 1;
	waitTwoSeconds;
end;
Do not forget to negate the condition when transforming a conditonal loop into the other kind. Obviously the repeat until-loop is more suitable in this case.
The important thing is to realize is that the entire loop body is repeated above the while-loop even begins:
imagineJumpingSheep;
sheepCount := sheepCount + 1;
waitTwoSeconds;

while not asleep do
begin
	imagineJumpingSheep;
	sheepCount := sheepCount + 1;
	waitTwoSeconds;
end;
Do not forget to negate the condition when transforming a conditonal loop into the other kind. Obviously the repeat until-loop is more suitable in this case.


If you are using a Linux or FreeBSD OS and an EP‑compliant compiler: Write a program that takes the output of the command getent passwd as input and only prints the first field/column of every line. In a passwd(5) file, fields are separated by a colon (:). Your program will list all known user names.
You can run the following program with the command getent passwd | ./cut1 (the file name of your executable program may differ).
program cut1(input, output);
const
	separator = ':';
var
	line: string(80);
begin
	while not EOF(input) do
	begin
		{ This reads the _complete_ line, but at most}
		{ line.capacity characters are actually saved. }
		readLn(line);
		writeLn(line[1..index(line, separator)-1]);
	end;
end.
Remember that index will return the index of the colon character which you do not want to print, thus you will need to subtract 1 from its result. This program will evidently fail if a line does not contain a colon.
You can run the following program with the command getent passwd | ./cut1 (the file name of your executable program may differ).
program cut1(input, output);
const
	separator = ':';
var
	line: string(80);
begin
	while not EOF(input) do
	begin
		{ This reads the _complete_ line, but at most}
		{ line.capacity characters are actually saved. }
		readLn(line);
		writeLn(line[1..index(line, separator)-1]);
	end;
end.
Remember that index will return the index of the colon character which you do not want to print, thus you will need to subtract 1 from its result. This program will evidently fail if a line does not contain a colon.


Based on your previous solution, extend your program so only user names whose UID is greater than or equal to 1000. The UID is stored in the third field.
The changed lines have been highlighted. A comment from the previous source code has been omitted.
program cut2(input, output);
const
	separator = ':';
	minimumID = 1000;
var
	line: string(80);
	nameFinalCharacter: integer;
	uid: integer;
begin
	while not EOF do
	begin
		readLn(line);
		
		nameFinalCharacter := index(line, separator) - 1;
		
		{ username:encryptedpassword:usernumber:… }
		{         ↑ `nameFinalCharacter + 1` }
		{          ↑ `… + 2` is the index of the 1st password character }
		uid := index(subStr(line, nameFinalCharacter + 2), separator);
		
		{ Note that the preceding `index` did not operate on `line` }
		{ but an altered/different/independent “copy” of it. }
		{ This means, we’ll need to offset the returned index once again. }
		readStr(subStr(line, nameFinalCharacter + 2 + uid), uid);
		{ Read/readLn/readStr automatically terminate reading an integer }
		{ number from the source if a non-digit character is encountered. }
		{ (Preceding blanks/space characters are ignored and }
		{ the _first_ character still may be a sign, that is `+` or `-`.)} 
		
		if uid >= minimumID then
		begin
			writeLn(line[1..nameFinalCharacter]);
		end;
	end;
end.
Recall from the previous chapter that the third parameter in subStr can be omitted effectively meaning “give me the rest of a string.” Note that this programming task mimics (some of) the behavior of cut(1). Use programs/source code that has already been programmed for you whenever possible. Reinventing the wheel is not necessary. Nonetheless, this basic task is a good exercise. On a RHEL system you may rather want to set minimumID to 500.
The changed lines have been highlighted. A comment from the previous source code has been omitted.
program cut2(input, output);
const
	separator = ':';
	minimumID = 1000;
var
	line: string(80);
	nameFinalCharacter: integer;
	uid: integer;
begin
	while not EOF do
	begin
		readLn(line);
		
		nameFinalCharacter := index(line, separator) - 1;
		
		{ username:encryptedpassword:usernumber:… }
		{         ↑ `nameFinalCharacter + 1` }
		{          ↑ `… + 2` is the index of the 1st password character }
		uid := index(subStr(line, nameFinalCharacter + 2), separator);
		
		{ Note that the preceding `index` did not operate on `line` }
		{ but an altered/different/independent “copy” of it. }
		{ This means, we’ll need to offset the returned index once again. }
		readStr(subStr(line, nameFinalCharacter + 2 + uid), uid);
		{ Read/readLn/readStr automatically terminate reading an integer }
		{ number from the source if a non-digit character is encountered. }
		{ (Preceding blanks/space characters are ignored and }
		{ the _first_ character still may be a sign, that is `+` or `-`.)} 
		
		if uid >= minimumID then
		begin
			writeLn(line[1..nameFinalCharacter]);
		end;
	end;
end.
Recall from the previous chapter that the third parameter in subStr can be omitted effectively meaning “give me the rest of a string.” Note that this programming task mimics (some of) the behavior of cut(1). Use programs/source code that has already been programmed for you whenever possible. Reinventing the wheel is not necessary. Nonetheless, this basic task is a good exercise. On a RHEL system you may rather want to set minimumID to 500.


Write a prime sieve. One routine does the calculations, another routine prints them. This exercise’s goal is to give you an opportunity to type, to write an adequate program. If necessary, you can peek at existing implementations, but still write it on your own, adding your own comments to the source code.
The following program meets all requirements. Note, an implementation using an array[1..limit] of Boolean would have been perfectly fine as well, although the shown set of natural implementation is in principle preferred.
program eratosthenes(output);

type
	{ in Delphi or FPC you will need to write 1..255 }
	natural = 1..4095;
	{$setLimit 4096}{ only in GPC }
	naturals = set of natural;

const
	{ `high` is a Borland Pascal (BP) extension. }
	{ It is available in Delphi, FPC and GPC. }
	limit = high(natural);

{ Note: It is important that `primes` is declared }
{ in front of `sieve` and `list`, so both of these }
{ routines can access the _same_ variable. }
var
	primes: naturals;

{ This procedure sieves the `primes` set. }
{ The `primes` set needs to be fully populated }
{ _before_ calling this routine. }
procedure sieve;
var
	n: natural;
	i: integer;
	multiples: naturals;
begin
	{ `1` is by definition not a prime number }
	primes := primes - [1];
	
	{ find the next non-crossed number }
	for n := 2 to limit do
	begin
		if n in primes then
		begin
			multiples := [];
			{ We do _not_ want to remove 1 * n. }
			i := 2 * n;
			while i in [n..limit] do
			begin
				multiples := multiples + [i];
				i := i + n;
			end;
			
			primes := primes - multiples;
		end;
	end;
end;

{ This procedures lists all numbers in `primes` }
{ and enumerates them. }
procedure list;
var
	count, n: natural;
begin
	count := 1;
	
	for n := 2 to limit do
	begin
		if n in primes then
		begin
			writeLn(count:8, '.:', n:22);
			count := count + 1;
		end;
	end;
end;

{ === MAIN program === }
begin
	primes := [1..limit];
	sieve;
	list;
end.
Appreciate the fact that because you have separated the sieve task from the list task, both routine definitions and the main part of the program at the bottom remain quite short and are thus easier to understand.
The following program meets all requirements. Note, an implementation using an array[1..limit] of Boolean would have been perfectly fine as well, although the shown set of natural implementation is in principle preferred.
program eratosthenes(output);

type
	{ in Delphi or FPC you will need to write 1..255 }
	natural = 1..4095;
	{$setLimit 4096}{ only in GPC }
	naturals = set of natural;

const
	{ `high` is a Borland Pascal (BP) extension. }
	{ It is available in Delphi, FPC and GPC. }
	limit = high(natural);

{ Note: It is important that `primes` is declared }
{ in front of `sieve` and `list`, so both of these }
{ routines can access the _same_ variable. }
var
	primes: naturals;

{ This procedure sieves the `primes` set. }
{ The `primes` set needs to be fully populated }
{ _before_ calling this routine. }
procedure sieve;
var
	n: natural;
	i: integer;
	multiples: naturals;
begin
	{ `1` is by definition not a prime number }
	primes := primes - [1];
	
	{ find the next non-crossed number }
	for n := 2 to limit do
	begin
		if n in primes then
		begin
			multiples := [];
			{ We do _not_ want to remove 1 * n. }
			i := 2 * n;
			while i in [n..limit] do
			begin
				multiples := multiples + [i];
				i := i + n;
			end;
			
			primes := primes - multiples;
		end;
	end;
end;

{ This procedures lists all numbers in `primes` }
{ and enumerates them. }
procedure list;
var
	count, n: natural;
begin
	count := 1;
	
	for n := 2 to limit do
	begin
		if n in primes then
		begin
			writeLn(count:8, '.:', n:22);
			count := count + 1;
		end;
	end;
end;

{ === MAIN program === }
begin
	primes := [1..limit];
	sieve;
	list;
end.
Appreciate the fact that because you have separated the sieve task from the list task, both routine definitions and the main part of the program at the bottom remain quite short and are thus easier to understand.


Write a program that reads an infinite number of numerical values from input and at the end prints on output the arithmetic mean.
program arithmeticMean(input, output);
type
	integerNonNegative = 0..maxInt;
var
	i, sum: real;
	count: integerNonNegative;
begin
	sum := 0.0;
	count := 0;
	
	while not eof(input) do
	begin
		readLn(i);
		sum := sum + i;
		count := count + 1;
	end;
	
	{ count > 0: do not do division by zero. }
	if count > 0 then
	begin
		writeLn(sum / count);
	end;
end.

Note that using a data type excluding negative numbers (here we named it integerNonNegative) mitigates the issue that count may flip the sign, a condition known as overflow. This would cause the program to fail if count := count + 1 became too large, and effectively falls out of the range 0..maxInt.

There is, despite maxReal, no programmatic way to tell that sum became too large or too small rendering it severely inaccurate, because any value of sum may be legit nevertheless.
program arithmeticMean(input, output);
type
	integerNonNegative = 0..maxInt;
var
	i, sum: real;
	count: integerNonNegative;
begin
	sum := 0.0;
	count := 0;
	
	while not eof(input) do
	begin
		readLn(i);
		sum := sum + i;
		count := count + 1;
	end;
	
	{ count > 0: do not do division by zero. }
	if count > 0 then
	begin
		writeLn(sum / count);
	end;
end.

Note that using a data type excluding negative numbers (here we named it integerNonNegative) mitigates the issue that count may flip the sign, a condition known as overflow. This would cause the program to fail if count := count + 1 became too large, and effectively falls out of the range 0..maxInt.

There is, despite maxReal, no programmatic way to tell that sum became too large or too small rendering it severely inaccurate, because any value of sum may be legit nevertheless.


This task is a fine exercise for those using an EP-compliant compiler: Write a time function that returns a string in the “American” time format 9:04 PM. This may look easy at first, but it can become quite a challenge. Have fun!
A smart person would try to reuse time itself. However, the output of time itself is not standardized, so we will need to define everything by ourselves:
type
	timePrint = string(8);

function timeAmerican(ts: timeStamp): timePrint;
const
	hourMinuteSeparator = ':';
	anteMeridiemAbbreviation = 'AM';
	postMeridiemAbbreviation = 'PM';
type
	noonRelation = (beforeNoon, afterNoon);
	letterPair = string(2);
var
	{ contains 'AM' and 'PM' accessible via an index }
	m: array[noonRelation] of letterPair;
	{ contains a leading zero accessible via a Boolean expression }
	z: array[Boolean] of letterPair;
	{ holds temporary result }
	t: timePrint;
begin
	{ fill `t` with spaces }
	writeStr(t, '':t.capacity);

This fallback value (in the case ts.timeValid is false) allows the programmer/“user” of this function to “blindly” print its return value. There will be a noticeable gap in the output. Another sensible “fallback” value would be an empty string.

	with ts do
	begin
		if timeValid then
		begin
			m[beforeNoon] := anteMeridiemAbbreviation;
			m[afterNoon] := postMeridiemAbbreviation;
			z[false] := '';
			z[true] := '0';
			
			writeStr(t,
				((hour + 12 * ord(hour = 0) - 12 * ord(hour > 12)) mod 13):1,
				hourMinuteSeparator,
				z[minute < 10], minute:1, ' ',
				m[succ(beforeNoon, hour div 12)]);

This is the most complicated part of this problem. First of all, all number parameters to writeStr are explicitly suffixed with :1 as the minimum-width specification, because there are some compilers that would otherwise assume, for example, :20 as a default value. Since we know that timeStamp.hour is in the range 0..23 we can use the div and mod operations as demonstrated. However, we will need account of an hour value of 0, which is usually denoted as 12:00 AM (and not zero). A conditional “shift” by 12 using the shown Boolean expression and ord “fixes” this. Furthermore, here is a brief reminder that in EP the succ function accepts a second parameter.

		end;
	end;
	
	timeAmerican := t;
end;
Finally we will need to copy our temporary result, to the function result variable. Remember there must be exactly one assignment, although not all compilers enforce this rule.
A smart person would try to reuse time itself. However, the output of time itself is not standardized, so we will need to define everything by ourselves:
type
	timePrint = string(8);

function timeAmerican(ts: timeStamp): timePrint;
const
	hourMinuteSeparator = ':';
	anteMeridiemAbbreviation = 'AM';
	postMeridiemAbbreviation = 'PM';
type
	noonRelation = (beforeNoon, afterNoon);
	letterPair = string(2);
var
	{ contains 'AM' and 'PM' accessible via an index }
	m: array[noonRelation] of letterPair;
	{ contains a leading zero accessible via a Boolean expression }
	z: array[Boolean] of letterPair;
	{ holds temporary result }
	t: timePrint;
begin
	{ fill `t` with spaces }
	writeStr(t, '':t.capacity);

This fallback value (in the case ts.timeValid is false) allows the programmer/“user” of this function to “blindly” print its return value. There will be a noticeable gap in the output. Another sensible “fallback” value would be an empty string.

	with ts do
	begin
		if timeValid then
		begin
			m[beforeNoon] := anteMeridiemAbbreviation;
			m[afterNoon] := postMeridiemAbbreviation;
			z[false] := '';
			z[true] := '0';
			
			writeStr(t,
				((hour + 12 * ord(hour = 0) - 12 * ord(hour > 12)) mod 13):1,
				hourMinuteSeparator,
				z[minute < 10], minute:1, ' ',
				m[succ(beforeNoon, hour div 12)]);

This is the most complicated part of this problem. First of all, all number parameters to writeStr are explicitly suffixed with :1 as the minimum-width specification, because there are some compilers that would otherwise assume, for example, :20 as a default value. Since we know that timeStamp.hour is in the range 0..23 we can use the div and mod operations as demonstrated. However, we will need account of an hour value of 0, which is usually denoted as 12:00 AM (and not zero). A conditional “shift” by 12 using the shown Boolean expression and ord “fixes” this. Furthermore, here is a brief reminder that in EP the succ function accepts a second parameter.

		end;
	end;
	
	timeAmerican := t;
end;
Finally we will need to copy our temporary result, to the function result variable. Remember there must be exactly one assignment, although not all compilers enforce this rule.

Sources:

  1. Wirth, Niklaus (1979). "The Module: a system structuring facility in high-level programming languages". proceedings of the symposium on language design and programming methodology. Berlin, Heidelberg: Springer. Abstract. doi:10.1007/3-540-09745-7_1. ISBN 978-3-540-09745-7. https://link.springer.com/content/pdf/10.1007%2F3-540-09745-7_1.pdf. Retrieved 2021-10-26. 
  2. Cooper, Doug. "Chapter 11. The record Type". Oh! Pascal! (third edition ed.). p. 374. ISBN 0-393-96077-3. […] records have two unique aspects:
    First, the stored values can have different types. This makes records potentially heterogeneous—composed of values of different kinds. Arrays, in contrast, hold values of just one type, so they're said to be homogeneous.
    […]
    {{cite book}}: |edition= has extra text (help); line feed character in |quote= at position 269 (help); syntaxhighlight stripmarker in |chapter= at position 17 (help)
  3. Wirth, Niklaus (1973-07-00). The Programming Language Pascal (Revised Report ed.). p. 30. Within the component statement of the with statement, the components (fields) of the record variable specified by the with clause can be denoted by their field identifier only, i.e. without preceding them with the denotation of the entire record variable. {{cite book}}: Check date values in: |date= (help)
  4. Jensen, Kathleen; Wirth, Niklaus. Pascal – user manual and report (4th revised ed.). p. 39. doi:10.1007/978-1-4612-4450-9. ISBN 978-0-387-97649-5. The initial and final values are evaluated only once.

Notes:

  1. This kind of record will not be able to store anything. In the next chapter you will learn a (and the only) instance it could be useful.
  2. Indeed most compilers consider the dot as a dereferencing indicator and the field name denotes a static offset from a base memory address.
  3. In Standard (“unextended”) Pascal, ISO standard 7185, a function can only return “simple data type” and “pointer data type” values.
  4. Actually the shown begin end is redundant since repeat until constitute a frame in their own right. For pedagogical reasons we teach you to always use begin end nevertheless wherever a sequence of statements usually appears. Otherwise you might change your repeat until loop to a while do loop forgetting to surround the loop’s body statements with a proper begin end frame.
  5. The packed designation has been omitted for simplicity.
  6. According to most compilers’ definition of maxInt. The ISO standards merely require, that all arithmetic operations in the interval -maxInt..maxInt work absolutely correct, but it is thinkable (although unlikely) that more values are supported.
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