 LAPACK  3.10.1 LAPACK: Linear Algebra PACKage

## ◆ clarnd()

 complex function clarnd ( integer IDIST, integer, dimension( 4 ) ISEED )

CLARND

Purpose:
``` CLARND returns a random complex number from a uniform or normal
distribution.```
Parameters
 [in] IDIST ``` 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``` [in,out] 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.```
Further Details:
```  This routine calls the auxiliary routine SLARAN to generate a random
real number from a uniform (0,1) distribution. The Box-Muller method
is used to transform numbers from a uniform to a normal distribution.```

Definition at line 74 of file clarnd.f.

75 *
76 * -- LAPACK auxiliary routine --
77 * -- LAPACK is a software package provided by Univ. of Tennessee, --
78 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
79 *
80 * .. Scalar Arguments ..
81  INTEGER IDIST
82 * ..
83 * .. Array Arguments ..
84  INTEGER ISEED( 4 )
85 * ..
86 *
87 * =====================================================================
88 *
89 * .. Parameters ..
90  REAL ZERO, ONE, TWO
91  parameter( zero = 0.0e+0, one = 1.0e+0, two = 2.0e+0 )
92  REAL TWOPI
93  parameter( twopi = 6.28318530717958647692528676655900576839e+0 )
94 * ..
95 * .. Local Scalars ..
96  REAL T1, T2
97 * ..
98 * .. External Functions ..
99  REAL SLARAN
100  EXTERNAL slaran
101 * ..
102 * .. Intrinsic Functions ..
103  INTRINSIC cmplx, exp, log, sqrt
104 * ..
105 * .. Executable Statements ..
106 *
107 * Generate a pair of real random numbers from a uniform (0,1)
108 * distribution
109 *
110  t1 = slaran( iseed )
111  t2 = slaran( iseed )
112 *
113  IF( idist.EQ.1 ) THEN
114 *
115 * real and imaginary parts each uniform (0,1)
116 *
117  clarnd = cmplx( t1, t2 )
118  ELSE IF( idist.EQ.2 ) THEN
119 *
120 * real and imaginary parts each uniform (-1,1)
121 *
122  clarnd = cmplx( two*t1-one, two*t2-one )
123  ELSE IF( idist.EQ.3 ) THEN
124 *
125 * real and imaginary parts each normal (0,1)
126 *
127  clarnd = sqrt( -two*log( t1 ) )*exp( cmplx( zero, twopi*t2 ) )
128  ELSE IF( idist.EQ.4 ) THEN
129 *
130 * uniform distribution on the unit disc abs(z) <= 1
131 *
132  clarnd = sqrt( t1 )*exp( cmplx( zero, twopi*t2 ) )
133  ELSE IF( idist.EQ.5 ) THEN
134 *
135 * uniform distribution on the unit circle abs(z) = 1
136 *
137  clarnd = exp( cmplx( zero, twopi*t2 ) )
138  END IF
139  RETURN
140 *
141 * End of CLARND
142 *
complex function clarnd(IDIST, ISEED)
CLARND
Definition: clarnd.f:75
real function slaran(ISEED)
SLARAN
Definition: slaran.f:67
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