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// weighted_die.cpp
//
// Copyright (c) 2009
// Steven Watanabe
//
// Distributed under 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)
//[weighted_die
/*`
For the source of this example see
[@boost://libs/random/example/weighted_die.cpp weighted_die.cpp].
*/
#include <boost/random/mersenne_twister.hpp>
#include <boost/random/uniform_real.hpp>
#include <boost/random/variate_generator.hpp>
#include <vector>
#include <algorithm>
#include <numeric>
boost::mt19937 gen;
/*`
This time, instead of a fair die, the probability of
rolling a 1 is 50% (!). The other five faces are all
equally likely.
*/
static const double probabilities[] = {
0.5, 0.1, 0.1, 0.1, 0.1, 0.1
};
/*`
Now define a function that simulates rolling this die.
Note that the C++0x library contains a `discrete_distribution`
class which would be a better way to do this.
*/
int roll_weighted_die() {
std::vector<double> cumulative;
std::partial_sum(&probabilities[0], &probabilities[0] + 6,
std::back_inserter(cumulative));
boost::uniform_real<> dist(0, cumulative.back());
boost::variate_generator<boost::mt19937&, boost::uniform_real<> > die(gen, dist);
/*<< Find the position within the sequence and add 1
(to make sure that the result is in the range [1,6]
instead of [0,5])
>>*/
return (std::lower_bound(cumulative.begin(), cumulative.end(), die()) - cumulative.begin()) + 1;
}
//]
#include <iostream>
int main() {
for(int i = 0; i < 10; ++i) {
std::cout << roll_weighted_die() << std::endl;
}
}