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REAL FUNCTION sla_GRESID (S)
*+
* - - - - - - -
* G R E S I D
* - - - - - - -
*
* Generate pseudo-random normal deviate ( = 'Gaussian residual')
* (single precision)
*
* !!! Convex specific !!!
*
* Given:
* S real standard deviation
*
* The results of many calls to this routine will be
* normally distributed with mean zero and standard deviation S.
*
* The Box-Muller algorithm is used. This is described in
* Numerical Recipes, section 7.2.
*
* Called: RAND (a REAL function from the Convex Fortran Library)
*
* P.T.Wallace Starlink 28 June 1994
*
* Copyright (C) 1995 Rutherford Appleton Laboratory
*-
IMPLICIT NONE
REAL S
REAL X,Y,R,W,GNEXT,G
LOGICAL FTF,FIRST
REAL RAND
SAVE GNEXT,FIRST
DATA FTF,FIRST / .TRUE.,.TRUE. /
* First time through, initialise the random-number generator
IF (FTF) THEN
X = RAND(123456789)
FTF = .FALSE.
END IF
* Second normal deviate of the pair available?
IF (FIRST) THEN
* No - generate two random numbers inside unit circle
R = 2.0
DO WHILE (R.GE.1.0)
* Generate two random numbers in range +/- 1
X = 2.0*RAND(0)-1.0
Y = 2.0*RAND(0)-1.0
* Try again if not in unit circle
R = X*X+Y*Y
END DO
* Box-Muller transformation, generating two deviates
W = SQRT(-2.0*LOG(R)/MAX(R,1E-20))
GNEXT = X*W
G = Y*W
* Set flag to indicate availability of next deviate
FIRST = .FALSE.
ELSE
* Return second deviate of the pair & reset flag
G = GNEXT
FIRST = .TRUE.
END IF
* Scale the deviate by the required standard deviation
sla_GRESID = G*S
END
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