ZLARNV(3)      LAPACK routine of NEC Numeric Library Collection      ZLARNV(3)



NAME
       ZLARNV

SYNOPSIS
       SUBROUTINE ZLARNV (IDIST, ISEED, N, X)



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




ARGUMENTS
           IDIST     (input)
                     IDIST is 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)
                     ISEED is 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)
                     N is INTEGER
                     The number of random numbers to be generated.

           X         (output)
                     X is 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.



LAPACK routine                  31 October 2017                      ZLARNV(3)