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[unix-history] / gnu / lib / libg++ / libg++ / Normal.cc
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1/*
2Copyright (C) 1988 Free Software Foundation
3 written by Dirk Grunwald (grunwald@cs.uiuc.edu)
4
78ed81a3 5This file is part of the GNU C++ Library. This library is free
6software; you can redistribute it and/or modify it under the terms of
7the GNU Library General Public License as published by the Free
8Software Foundation; either version 2 of the License, or (at your
9option) any later version. This library is distributed in the hope
10that it will be useful, but WITHOUT ANY WARRANTY; without even the
11implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
12PURPOSE. See the GNU Library General Public License for more details.
13You should have received a copy of the GNU Library General Public
14License along with this library; if not, write to the Free Software
15Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.
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16*/
17#ifdef __GNUG__
18#pragma implementation
19#endif
20#include <builtin.h>
21#include <Random.h>
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22#include <Normal.h>
23//
24// See Simulation, Modelling & Analysis by Law & Kelton, pp259
25//
26// This is the ``polar'' method.
27//
28
29double Normal::operator()()
30{
31
32 if (haveCachedNormal == 1) {
33 haveCachedNormal = 0;
34 return(cachedNormal * pStdDev + pMean );
35 } else {
36
37 for(;;) {
38 double u1 = pGenerator -> asDouble();
39 double u2 = pGenerator -> asDouble();
40 double v1 = 2 * u1 - 1;
41 double v2 = 2 * u2 - 1;
42 double w = (v1 * v1) + (v2 * v2);
43
44//
45// We actually generate two IID normal distribution variables.
46// We cache the one & return the other.
47//
48 if (w <= 1) {
49 double y = sqrt( (-2 * log(w)) / w);
50 double x1 = v1 * y;
51 double x2 = v2 * y;
52
53 haveCachedNormal = 1;
54 cachedNormal = x2;
55 return(x1 * pStdDev + pMean);
56 }
57 }
58 }
59}
60