The Original Random Number Generator for 32 bit computers
The Original Random Number Generator for 32 bit computers.
SEED originates at some large odd number
d3= 2147483647.0
d2=2147483655.0
d1=16807.0
SEED=Mod(d1*SEED,d3) ! MOD(a,p) = a − INT(a/p) * p
X=SEED/d2
Problems: (1) Short period, (2) Evidently not very close to random
Lecuyer’s generator. Long period, very random
Define: norm = 2.328306549295728e-10,
m1 = 4294967087.0, m1 = 4294944443.0,
a12 = 140358.0, a13n = 810728.0,
a21 = 527612.0, a23n = 1370589.0,
Initialize s10 = the seed, s11 = 4231773.0,
s12 = 1975.0, s20 = 137228743.0,
s21 = 98426597.0, s22 = 142859843.0.
Create the value
p1 = a12*s11 - a13n*s10,
k = int(p1/m1),
p1 = p1 - k*m1
if p1 < 0,
p1 = p1 + m1,
s10 = s11,
s11 = s12, s12 = p1;
p2 = a21*s22 - a23n*s20,
k = int(p2/m2),
p2 = p2 - k*m2
if p2 < 0,
p2 = p2 + m2,
s20 = s21,
s21 = s22,
s22 = p2;
then the random value is
u = norm*(p1 - p2) if p1 > p2,
norm*(p1 - p2 + m1) otherwise.
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