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gengam.f
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1  REAL FUNCTION gengam(a,r)
2 C**********************************************************************
3 C
4 C REAL FUNCTION GENGAM( A, R )
5 C GENerates random deviates from GAMma distribution
6 C
7 C
8 C Function
9 C
10 C
11 C Generates random deviates from the gamma distribution whose
12 C density is
13 C (A**R)/Gamma(R) * X**(R-1) * Exp(-A*X)
14 C
15 C
16 C Arguments
17 C
18 C
19 C JJV added the argument ranges supported
20 C A --> Location parameter of Gamma distribution
21 C REAL A ( A > 0 )
22 C
23 C R --> Shape parameter of Gamma distribution
24 C REAL R ( R > 0 )
25 C
26 C
27 C Method
28 C
29 C
30 C Renames SGAMMA from TOMS as slightly modified by BWB to use RANF
31 C instead of SUNIF.
32 C
33 C For details see:
34 C (Case R >= 1.0)
35 C Ahrens, J.H. and Dieter, U.
36 C Generating Gamma Variates by a
37 C Modified Rejection Technique.
38 C Comm. ACM, 25,1 (Jan. 1982), 47 - 54.
39 C Algorithm GD
40 C
41 C JJV altered the following to reflect sgamma argument ranges
42 C (Case 0.0 < R < 1.0)
43 C Ahrens, J.H. and Dieter, U.
44 C Computer Methods for Sampling from Gamma,
45 C Beta, Poisson and Binomial Distributions.
46 C Computing, 12 (1974), 223-246/
47 C Adapted algorithm GS.
48 C
49 C**********************************************************************
50 C .. Scalar Arguments ..
51  REAL a,r
52 C ..
53 C .. External Functions ..
54  REAL sgamma
55  EXTERNAL sgamma
56 C ..
57 C .. Executable Statements ..
58 
59 C JJV added argument value checker
60  IF ( a.GT.0.0 .AND. r.GT.0.0 ) go to 10
61  WRITE (*,*) 'In GENGAM - Either (1) Location param A <= 0.0 or'
62  WRITE (*,*) '(2) Shape param R <= 0.0 - ABORT!'
63  WRITE (*,*) 'A value: ',a,'R value: ',r
64  CALL xstopx
65  + ('Location or shape param out of range in GENGAM - ABORT!')
66 C JJV end addition
67 
68  10 gengam = sgamma(r)/a
69 C gengam = gengam/a
70  RETURN
71 
72  END
real function gengam(a, r)
Definition: gengam.f:1
may be zero for pure relative error test tem the relative tolerance must be greater than or equal to
Definition: Quad-opts.cc:233