table of contents
| larnv(3) | LAPACK | larnv(3) |
NAME¶
larnv - larnv: random vector
SYNOPSIS¶
Functions¶
subroutine clarnv (idist, iseed, n, x)
CLARNV returns a vector of random numbers from a uniform or normal
distribution. subroutine dlarnv (idist, iseed, n, x)
DLARNV returns a vector of random numbers from a uniform or normal
distribution. subroutine slarnv (idist, iseed, n, x)
SLARNV returns a vector of random numbers from a uniform or normal
distribution. subroutine zlarnv (idist, iseed, n, x)
ZLARNV returns a vector of random numbers from a uniform or normal
distribution.
Detailed Description¶
Function Documentation¶
subroutine clarnv (integer idist, integer, dimension( 4 ) iseed, integer n, complex, dimension( * ) x)¶
CLARNV returns a vector of random numbers from a uniform or normal distribution.
Purpose:
CLARNV returns a vector of n random complex numbers from a uniform or
normal distribution.
Parameters
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
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
N is INTEGER
The number of random numbers to be generated.
X
X is COMPLEX array, dimension (N)
The generated random numbers.
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Further Details:
This routine calls the auxiliary routine SLARUV 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.
subroutine dlarnv (integer idist, integer, dimension( 4 ) iseed, integer n, double precision, dimension( * ) x)¶
DLARNV returns a vector of random numbers from a uniform or normal distribution.
Purpose:
DLARNV returns a vector of n random real numbers from a uniform or
normal distribution.
Parameters
IDIST is INTEGER
Specifies the distribution of the random numbers:
= 1: uniform (0,1)
= 2: uniform (-1,1)
= 3: normal (0,1)
ISEED
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
N is INTEGER
The number of random numbers to be generated.
X
X is DOUBLE PRECISION array, dimension (N)
The generated random numbers.
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
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.
subroutine slarnv (integer idist, integer, dimension( 4 ) iseed, integer n, real, dimension( * ) x)¶
SLARNV returns a vector of random numbers from a uniform or normal distribution.
Purpose:
SLARNV returns a vector of n random real numbers from a uniform or
normal distribution.
Parameters
IDIST is INTEGER
Specifies the distribution of the random numbers:
= 1: uniform (0,1)
= 2: uniform (-1,1)
= 3: normal (0,1)
ISEED
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
N is INTEGER
The number of random numbers to be generated.
X
X is REAL array, dimension (N)
The generated random numbers.
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Further Details:
This routine calls the auxiliary routine SLARUV 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.
subroutine zlarnv (integer idist, integer, dimension( 4 ) iseed, integer n, complex*16, dimension( * ) x)¶
ZLARNV returns a vector of random numbers from a uniform or normal distribution.
Purpose:
ZLARNV returns a vector of n random complex numbers from a uniform or
normal distribution.
Parameters
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
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
N is INTEGER
The number of random numbers to be generated.
X
X is COMPLEX*16 array, dimension (N)
The generated random numbers.
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
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.
Author¶
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| Wed Feb 7 2024 11:30:40 | Version 3.12.0 |