Number: Difference between revisions

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{{TOC|side}}
{{TOC|side}}
A number is, depending on scope, either a [http://en.wikipedia.org/wiki/Single-precision_floating-point_format single precision floating-point number] (when talking about scripting) or a range of numerical types when talking about config context.
A number is, depending on scope, either a {{Wikipedia|Single-precision_floating-point_format|single precision floating-point number}} (when talking about scripting) or a range of numerical types when talking about config context.




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{{Feature | Informative | Regex to match all numbers in [[SQF Syntax|SQF]] is {{ic|<nowiki>(((\$|0x)[0-9a-fA-F]+)|(\.[0-9]+))|(\b[0-9]+(\.[0-9]+|[eE][-+]?[0-9]+)?)\b</nowiki>}}}}
{{Feature | Informative | Regex to match all numbers in [[SQF Syntax|SQF]] is {{ic|<nowiki>(((\$|0x)[0-9a-fA-F]+)|(\.[0-9]+))|(\b[0-9]+(\.[0-9]+|[eE][-+]?[0-9]+)?)\b</nowiki>}}}}
{{Feature | important | Due to technical limitations, the precision of floating-point numbers is limited. Please refer to [https://en.wikipedia.org/wiki/IEEE_754 IEEE 754] for more info about the technical details.}}
{{Feature | important | Due to technical limitations, the precision of floating-point numbers is limited. Please refer to {{Wikipedia|IEEE_754|IEEE 754}} for more info about the technical details.}}


=== Decimal (Base 10) ===
=== Decimal (Base 10) ===
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==== Scientific Notation ====
==== Scientific Notation ====
The [https://en.wikipedia.org/wiki/Scientific_notation Scientific Notation] is a way of expressing numbers that are too big or too small to be conveniently written in decimal form.
The {{Wikipedia|Scientific_notation|Scientific Notation}} is a way of expressing numbers that are too big or too small to be conveniently written in decimal form.


It starts of like a normal decimal and then gets expressed by an {{ic|E}} (Not case-sensitive, thus {{ic|e}} is also valid) followed by an '''optional''' {{ic|+}} or {{ic|-}} sign and ends with a range of digits.
It starts of like a normal decimal and then gets expressed by an {{ic|E}} (Not case-sensitive, thus {{ic|e}} is also valid) followed by an '''optional''' {{ic|+}} or {{ic|-}} sign and ends with a range of digits.
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=== Hexadecimal (Base 16) ===
=== Hexadecimal (Base 16) ===


In [[SQF Syntax|SQF]], [https://en.wikipedia.org/wiki/Hexadecimal hexadecimal] (also base 16, or hex) is a positional numeral system with a base of 16.  
In [[SQF Syntax|SQF]], {{Wikipedia|Hexadecimal|hexadecimal}} (also base 16, or hex) is a positional numeral system with a base of 16.  
They start either with {{ic|0x}} or with a single {{ic|$}}.
They start either with {{ic|0x}} or with a single {{ic|$}}.



Revision as of 15:55, 30 May 2021

A number is, depending on scope, either a single precision floating-point number (when talking about scripting) or a range of numerical types when talking about config context.


Scripting

In SQF, there are multiple accepted number formats. However, all of them will result in the same SCALAR (typeName) value type.

The largest positive number that can be achieved is 3.4028235e38 and the largest negative is -3.4028235e38.
It also is possible to generate positive or negative infinity values using either 1e39 (string representation: 1.#INF) or -1e39 (string representation: -1.#INF).

To check if a number is finite one can use the finite operator.

Regex to match all numbers in SQF is (((\$|0x)[0-9a-fA-F]+)|(\.[0-9]+))|(\b[0-9]+(\.[0-9]+|[eE][-+]?[0-9]+)?)\b
Due to technical limitations, the precision of floating-point numbers is limited. Please refer to IEEE 754 for more info about the technical details.

Decimal (Base 10)

A decimal number is your normal 0.5 syntax stuff with one extra: You may omit the initial pack of digits.

Some Examples would be:

  • 5.197
  • 0.47
  • 16.0
  • .8314
  • 12345

A regex catching these kind of numbers could look like this ((\.[0-9]+)|(\b[0-9]+(\.[0-9]+)?))\b

Scientific Notation

The Scientific Notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form.

It starts of like a normal decimal and then gets expressed by an E (Not case-sensitive, thus e is also valid) followed by an optional + or - sign and ends with a range of digits.

Some examples would be:

  • 1.23E4 ⇔ 1.23 ⋅ 104 ⇔ 12300
  • 5e-2 ⇔ 5 ⋅ 10-2 ⇔ 0.05

A regex catching these kind of numbers could look like this ([0-9]+.)?[0-9]+[eE][+-]?[0-9]+

Hexadecimal (Base 16)

In SQF, hexadecimal (also base 16, or hex) is a positional numeral system with a base of 16. They start either with 0x or with a single $.

This gets followed by one of the following characters: 0 1 2 3 4 5 6 7 8 9 A B C D E F.
Note that casing does not matter, thus both 0xa and 0xA are valid.

Some Examples would be:

  • 0xa5
  • $5C
  • $FFFFFF
  • 0x123ABC

A regex catching these kind of numbers could look like this ((\$|0x)[0-9a-fA-F]+)\b

Config

Unlike scripting, configs actually do allow for multiple number types (Integer, Float, etc). They are properly stored with their corresponding type in mind.

In a config, a Number can also mean a Boolean: in Description.ext for example, disabledAI = 1; means true.
class MyClass
{
	myInt = 1;		// integer;
	myFloat = 0.01;	// float;
};

// description.ext example
disabledAI = 1;		// boolean: 0 = false, anything else = true (usually 1)