Previous: zlargv Up: ../lapack-z.html Next: zlartg

zlarnv

 NAME
      ZLARNV - return 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 vectorizable code. The Box-Muller
      method is used to transform numbers from a uniform to a nor-
      mal distribution.