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[INFO] Bitsums and Operators


  
 
 
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ot_207
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Join Date: Jan 2008
Location: Romania The Love Country
Old 04-19-2009 , 04:20   [INFO] Bitsums and Operators
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About:
This tutorial is meant for beginner scripters from amxx. This will teach you on how to use bitsum operators and show some advantages over boolean storage arrays!

What is a bitsum?
A bitsum is based on the way memory works. If we think, the memory chip containes cells (bits) that can hold 2 infos: 1 and 0. To store a number in one byte (byte = 8 bits) here is how to do it:
"8" (normal number) = "00001000" (memory number [1 byte])

How does a bitsum work?

Well the idea is that bitsums allow to control the position that we want to set it to 1. And we can check wether that position has 1 or 0.

What operators do I have, and what do they mean?
I will give an example for each operator:

PHP Code:
Operator: |
first_byte "10010001"
second_byte "01010001"

first_byte second_byte "11010001" 
So basically this operator works like the logical one || but it does the operation on each bit!

Code:
|     1      0
1     1      1
0     1      0
PHP Code:
Operator: &
first_byte "10010001"
second_byte "01010001"

first_byte second_byte "0001001" 
So basically this operator works like the logical one && but it does the operation on each bit!

Code:
&     1      0
1     1      0
0     0      0
PHP Code:
Operator: ^ (Exclusive OR)
first_byte "10010001"
second_byte "01010001"

first_byte second_byte "1100000" 
So basically this operator works like the logical one ^^ but it does the operation on each bit!

Code:
^    1      0
1    0      1
0    1      0
PHP Code:
Operator: ~ (Complement applies on only one number!)
first_byte "10010001"

~first_byte "01101110" 
So basically this operator negates every bit! So 0 becomes 1 and 1 becomes 0.

Code:
~1 = 0
~0 = 1
How do normal numbers work?
They are stored in the normal cells by base. So they are converted from base 10 from base 2. In this case number 9 for example becomse: "00001001". To comvert that number from the cells back to 9 we need to multiply each position with 2 and a power of it! 2^2 = power(2,2) = 4
00001001: 1*(2^0) + 0*(2^1) + 0*(2^2) + 1*(2^3) + 0*(2^4) + 0*(2^5) + 0*(2^6) + 0*(2^7) = 1 + 8 = 9

How can I easily create a bitsum?
Well you need 2 operators: << and >>, or if you don't want to use those operators you can easily create one by using elements that represent powers of 2.
Example:
PHP Code:
Bitsum "00001111" 
The 2 operators have a special meaning!
"<< x" means that a position of a number is moved by x points to left! Example:
PHP Code:
"00001100" << "00011000" 
When we convert this to normal number we can see that the normal number was multiplied by 2.
So if we have (1<<3) it would be like 2^3 * 1

The >> operator does the same thing like << but moves x points to right! When using integer variables the numbers disappear.
PHP Code:
"00000111" >> "00000000" 
So using those 2 operators to create a bitsum we have this:
PHP Code:
Bitsum "00001111" = (1<<1<<1<<1<<0
How can I use this in my scripts?
Well it can be used for insance instead of boolean arrays.

So instead of having this:
PHP Code:
new bool:is_alive[33
We have:
PHP Code:
new bitsum_is_alive 
So less memory usage!

Instead of
PHP Code:
if (is_alive[id])
{

We have:
PHP Code:
if (bistum_is_alive & (1<<id))
{

Instead of this
PHP Code:
is_alive[id] = true 
PHP Code:
is_alive[id] = false 
We will have this:
PHP Code:
bitsum_is_alive |= (1<<id
PHP Code:
bitsum_is_alive &=  ~(1<<id
The good thing is that you can extend the limit of the 32 slots that a simple number allowes with an array so that we can have more slots.
Ex:

PHP Code:
new holder[4]
// holder has 4 * 32 places where we can store the true/false value
// Here are the functions that allow you to manipulate them!

// Here we make the desired slot true
save(x)
{
    
holder[32] |= << (32);
}

// Here we check the desired slot 
exists(x)
{
    return 
holder[32] & << (32);
}
 
// Here we remove the desired slot 
remove(x)
{
    
holder[32] &= ~(<< (32))

As you can see it is harder to use bitsums but they have better results when it comes to low memory usage!
Hope that my english was fine!
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Last edited by ot_207; 05-20-2009 at 05:03.
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