From: pbristow_at_[hidden]
Date: 2007-08-21 09:16:01
Author: pbristow
Date: 2007-08-21 09:16:01 EDT (Tue, 21 Aug 2007)
New Revision: 38818
URL: http://svn.boost.org/trac/boost/changeset/38818
Log:
This replaced binomial_example_3 which can be removed. TODO
Added:
sandbox/math_toolkit/libs/math/example/binomial_example_NAG_C.cpp (contents, props changed)
Added: sandbox/math_toolkit/libs/math/example/binomial_example_NAG_C.cpp
==============================================================================
--- (empty file)
+++ sandbox/math_toolkit/libs/math/example/binomial_example_NAG_C.cpp 2007-08-21 09:16:01 EDT (Tue, 21 Aug 2007)
@@ -0,0 +1,91 @@
+// Copyright Paul A. 2007
+// Copyright John Maddock 2007
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Simple example of computing probabilitiesfor a binomial random variable.
+// Replication of source nag_binomial_dist (g01bjc).
+
+// Shows how to replace NAG C library calls by Boost Math Toolkit C++ calls.
+// Note that the default policy does not replicate the way that NAG
+// library calls handle 'bad' arguments, but you can define policies that do,
+// as well as other policies that may suit your application even better.
+// See the examples of changing default policies for details.
+
+#include <boost/math/distributions/binomial.hpp>
+
+#include <iostream>
+ using std::cout; using std::endl; using std::ios; using std::showpoint;
+#include <iomanip>
+ using std::fixed; using std::setw;
+
+int main()
+{
+ cout << "Using the binomial distribution to replicate a NAG library call." << endl;
+ using boost::math::binomial_distribution;
+
+ // This replicates the computation of the examples of using nag-binomial_dist
+ // using g01bjc in section g01 Somple Calculations on Statistical Data.
+ // http://www.nag.co.uk/numeric/cl/manual/pdf/G01/g01bjc.pdf
+ // Program results section 8.3 page 3.g01bjc.3
+ //8.2. Program Data
+ //g01bjc Example Program Data
+ //4 0.50 2 : n, p, k
+ //19 0.44 13
+ //100 0.75 67
+ //2000 0.33 700
+ //8.3. Program Results
+ //g01bjc Example Program Results
+ //n p k plek pgtk peqk
+ //4 0.500 2 0.68750 0.31250 0.37500
+ //19 0.440 13 0.99138 0.00862 0.01939
+ //100 0.750 67 0.04460 0.95540 0.01700
+ //2000 0.330 700 0.97251 0.02749 0.00312
+
+ cout.setf(ios::showpoint); // Trailing zeros to show significant decimal digits.
+ cout.precision(5); // Might calculate this from trials in distribution?
+ cout << fixed;
+ // Binomial distribution.
+
+ // Note that cdf(dist, k) is equivalent to NAG library plek probability of <= k
+ // cdf(complement(dist, k)) is equivalent to NAG library pgtk probability of > k
+ // pdf(dist, k) is equivalent to NAG library peqk probability of == k
+
+ cout << " n p k plek pgtk peqk " << endl;
+ binomial_distribution<>my_dist(4, 0.5);
+ cout << setw(4) << (int)my_dist.trials() << " " << my_dist.success_fraction()
+ << " " << 2 << " " << cdf(my_dist, 2) << " "
+ << cdf(complement(my_dist, 2)) << " " << pdf(my_dist, 2) << endl;
+
+ binomial_distribution<>two(19, 0.440);
+ cout << setw(4) << (int)two.trials() << " " << two.success_fraction()
+ << " " << 13 << " " << cdf(two, 13) << " "
+ << cdf(complement(two, 13)) << " " << pdf(two, 13) << endl;
+
+ binomial_distribution<>three(100, 0.750);
+ cout << setw(4) << (int)three.trials() << " " << three.success_fraction()
+ << " " << 67 << " " << cdf(three, 67) << " " << cdf(complement(three, 67))
+ << " " << pdf(three, 67) << endl;
+ binomial_distribution<>four(2000, 0.330);
+ cout << setw(4) << (int)four.trials() << " " << four.success_fraction()
+ << " " << 700 << " "
+ << cdf(four, 700) << " " << cdf(complement(four, 700))
+ << " " << pdf(four, 700) << endl;
+
+ return 0;
+} // int main()
+
+/*
+
+Example of using the binomial distribution to replicate a NAG library call.
+ n p k plek pgtk peqk
+ 4 0.50000 2 0.68750 0.31250 0.37500
+ 19 0.44000 13 0.99138 0.00862 0.01939
+ 100 0.75000 67 0.04460 0.95540 0.01700
+2000 0.33000 700 0.97251 0.02749 0.00312
+
+
+ */
+