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Programming:Random Number Generator

2,008 bytes added, 21:11, 8 January 2016
/* 8-bit random number generator using Refresh Register (R) */
== 8-bit Random Number Generator BASIC ==
The BASIC command <tt>RANDOMIZE TIME</tt> can be used to generate random numbers, using the value of the <tt>TIME</tt> variable as a seed. The <tt>TIME</tt> variable is incremented every 1/300th of a second, so it is highly unlikely that the same set of numbers will be generated each time the BASIC program is run. However, after about five or six numbers are obtained using the <tt>RND</tt> command, the randomness of the numbers decreases dramatically. The listing below demonstrates this problem: <pre>10 MODE 220 FOR a=1 TO 2330 RANDOMIZE TIME40 FOR b=1 TO 2550 PRINT USING("## ");INT(RND*100);60 NEXT b70 PRINT80 NEXT a</pre> This problem can be overcome by using the commands <tt>RANDOMIZE TIME:RANDOMIZE RND</tt> instead. This re-initialises the random number seed and greatly improves the randomness of the numbers that are obtained using the <tt>RND</tt> command. == Machine code == === 8-bit random number generator === This is a very simple generator. It's Its function is x[i + 1] = (5 * x[i] + 1) mod 256. The only advantage is the small size and it's its simplicity.
'''Input:''' ''none''
</pre>
=== 8-bit Random Number Generator - random number generator (lookup table based ) ===
To use this routine you need to define 1 Byte byte of RAM for the ''RandomPtr''.
'''Input:''' ''none''
add a,l
ld l,a
jr nc,.skip
inc h
.skip: ld a,(hl)
</pre>
=== 8-bit random number generator using Refresh Register (R) === Code courtesy from Singaja, this seems to produce a more random effect. '''Input:''' ''none'' '''Output:''' seed = ''a pseudo random number, period 256'' <pre> ;-----> Generate a random number ; ouput a=answer 0<=a<=255 ld hl,(seed_ion) ld a,r ld d,a ld e,a add hl,de xor l add a xor h ld l,a ld (seed_ion),hl ret seed_ion: .dw 0x0</pre> === 16-bit Random Number Generator random number generator ===
This algorithm uses a similar method, but returns much better results.
ret
</pre>
 
=== 16-bit random number generator using the R register ===
 
A pseudo random generator using the R register for the first byte of the random number. It then uses this number as a seed to feed the 8-bit random number generator to generate the other byte of the random value.
 
'''Input:''' ''none''
 
'''Output:''' HL = ''a pseudo random number, period 65536''
 
<pre>
Rand16 ld a,r
ld h,a
 
Rand8 ld b,a
add a,a
add a,a
add a,b
inc a
ld (Rand8 + 1),a
 
ld l,a ; HL now contains a random 16-bit number
ret
</pre>
 
[[Category:Programming]]
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