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89 lines
1.9 KiB
C++
89 lines
1.9 KiB
C++
// arcsine_example.cpp
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// Copyright John Maddock 2014.
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// Copyright Paul A. Bristow 2014.
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// Use, modification and distribution are subject to the
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// Boost Software License, Version 1.0.
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// (See accompanying file LICENSE_1_0.txt
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// or copy at http://www.boost.org/LICENSE_1_0.txt)
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// Example for the arcsine Distribution.
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// Note: Contains Quickbook snippets in comments.
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//[arcsine_snip_1
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#include <boost/math/distributions/arcsine.hpp> // For arcsine_distribution.
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//] [/arcsine_snip_1]
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#include <iostream>
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#include <exception>
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int main()
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{
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std::cout << "Examples of Arcsine distribution." << std::endl;
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std::cout.precision(3); // Avoid uninformative decimal digits.
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using boost::math::arcsine;
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arcsine as; // Construct a default `double` standard [0, 1] arcsine distribution.
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//[arcsine_snip_2
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std::cout << pdf(as, 1. / 2) << std::endl; // 0.637
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// pdf has a minimum at x = 0.5
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//] [/arcsine_snip_2]
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//[arcsine_snip_3
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std::cout << pdf(as, 1. / 4) << std::endl; // 0.735
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//] [/arcsine_snip_3]
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//[arcsine_snip_4
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std::cout << cdf(as, 0.05) << std::endl; // 0.144
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//] [/arcsine_snip_4]
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//[arcsine_snip_5
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std::cout << 2 * cdf(as, 1 - 0.975) << std::endl; // 0.202
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//] [/arcsine_snip_5]
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//[arcsine_snip_6
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std::cout << 2 * cdf(complement(as, 0.975)) << std::endl; // 0.202
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//] [/arcsine_snip_6]
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//[arcsine_snip_7
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std::cout << quantile(as, 1 - 0.2 / 2) << std::endl; // 0.976
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std::cout << quantile(complement(as, 0.2 / 2)) << std::endl; // 0.976
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//] [/arcsine_snip_7]
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{
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//[arcsine_snip_8
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using boost::math::arcsine_distribution;
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arcsine_distribution<> as(2, 5); // Cconstructs a double arcsine distribution.
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assert(as.x_min() == 2.); // as.x_min() returns 2.
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assert(as.x_max() == 5.); // as.x_max() returns 5.
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//] [/arcsine_snip_8]
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}
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return 0;
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} // int main()
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/*
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[arcsine_output
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Example of Arcsine distribution
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0.637
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0.735
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0.144
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0.202
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0.202
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0.976
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0.976
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] [/arcsine_output]
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*/
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