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# LAPACK-3

## man page of LAPACK-3

### LAPACK-3: returns a vector of n random complex numbers from a uniform or normal distribution

```NAME
LAPACK-3  - returns 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.

LAPACK auxiliary routine (versionMarch 2011                       LAPACK-3(3)
```

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