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Appendix I / Utilities / General Utilities
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( ( k ) + 1 ) ∈ { odd int egers } ⇒ S ( k + 1 ) : = S ( k ) + 1
S12 0
12
22.2-6
Equation 22.2-33
( ( k ) + 1 ) ∈ { even int egers } ⇒ S ( k + 1 ) : = S ( k ) + 2
S12 0
12
Equation 22.2-34
If Monte-Carlo mode is invoked S0(2001) is written to an external ASCII
file to be used as the Master Seed for the next program execution.
22.2.4.2 Normal Distributed Variables
When (M := 0) RANDOM using GAUSS to refresh the random seed in
IRAND(N) and obtain the next value of (C) in the PRBS identified by (N)
taken from the Gaussian distribution N(B,A),
GAUSS
22.2.4.3 Bi-modally Distributed Variables
( IRAND ( N ) , A , B , C )
Equation 22.2-35
When (M := 1) RANDOM returns a value from a bi-modal distribution, i.e. a
Gaussian distribution reflected about zero, with median values at (B) and a
standard deviation about each of (A). Using N(B,A) there is a small but
finite statistical probability at zero. The process is the same as for normally
distributed variables, however,
C : = C ⋅ sign
22.2.4.4 Uniformly Distributed Variables
( 1,
SIGNV ( N ) )
Equation 22.2-36
When (M := 2) RANDOM uses UNIFORM to return a uniformly distributed
random variable (C) in the range [A,B], whilst updating seed IRAND(N).
UNIFORM
( IRAND ( N ) , A , B , C , LUNOUT )
Equation 22.2-37
65539 ⋅ S i < 0 ⇒ S i + 1 : = 65539 ⋅ S i + 2147483648
65539 : = 65539 ⋅ S
⋅ S i ≥ 0 ⇒ S i + 1
Equation 22.2-38
i
Equation 22.2-39