ZLARNV(3f)

NAME
ZLARNV - a vector of n random complex numbers from a uniform or normal distribution

SYNOPSIS

SUBROUTINE ZLARNV(
    IDIST, ISEED, N, X )

INTEGER
    IDIST, N

INTEGER
    ISEED( 4 )

COMPLEX*16
    X( * )

PURPOSE
ZLARNV returns a vector of n random complex numbers from a uniform or normal distribution.

ARGUMENTS

IDIST   (input) INTEGER
    Specifies the distribution of the random numbers:
    = 1: real and imaginary parts each uniform (0,1)
    = 2: real and imaginary parts each uniform (-1,1)
    = 3: real and imaginary parts each normal (0,1)
    = 4: uniformly distributed on the disc abs(z) < 1
    = 5: uniformly distributed on the circle abs(z) = 1

ISEED   (input/output) INTEGER array, dimension (4)
    On entry, the seed of the random number generator; the array elements must be between 0 and 4095, and ISEED(4) must be odd. On exit, the seed is updated.

N       (input) INTEGER
    The number of random numbers to be generated.

X       (output) COMPLEX*16 array, dimension (N)
    The generated random numbers.

FURTHER DETAILS
This routine calls the auxiliary routine DLARUV to generate random real numbers from a uniform (0,1) distribution, in batches of up to 128 using vectorisable code. The Box-Muller method is used to transform numbers from a uniform to a normal distribution.