llvm/libcxx/test/std/numerics/rand/rand.dist/rand.dist.samp/rand.dist.samp.plinear/eval_param.pass.cpp

//===----------------------------------------------------------------------===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
//
// REQUIRES: long_tests

// <random>

// template<class RealType = double>
// class piecewise_linear_distribution

// template<class _URNG> result_type operator()(_URNG& g, const param_type& parm);

#include <random>
#include <algorithm>   // for sort
#include <cassert>
#include <cmath>
#include <iterator>
#include <limits>
#include <numeric>
#include <vector>

#include "test_macros.h"

template <class T>
inline
T
sqr(T x)
{
    return x*x;
}

double
f(double x, double a, double m, double b, double c)
{
    return a + m*(sqr(x) - sqr(b))/2 + c*(x-b);
}

int main(int, char**)
{
    {
        typedef std::piecewise_linear_distribution<> D;
        typedef D::param_type P;
        typedef std::mt19937_64 G;
        G g;
        double b[] = {10, 14, 16, 17};
        double p[] = {25, 62.5, 12.5, 0};
        const std::size_t Np = sizeof(p) / sizeof(p[0]) - 1;
        D d;
        P pa(b, b+Np+1, p);
        const std::size_t N = 1000000;
        std::vector<D::result_type> u;
        for (std::size_t i = 0; i < N; ++i)
        {
            D::result_type v = d(g, pa);
            assert(10 <= v && v < 17);
            u.push_back(v);
        }
        std::sort(u.begin(), u.end());
        std::ptrdiff_t kp = -1;
        double a = std::numeric_limits<double>::quiet_NaN();
        double m = std::numeric_limits<double>::quiet_NaN();
        double bk = std::numeric_limits<double>::quiet_NaN();
        double c = std::numeric_limits<double>::quiet_NaN();
        std::vector<double> areas(Np);
        double S = 0;
        for (std::size_t i = 0; i < areas.size(); ++i)
        {
            areas[i] = (p[i]+p[i+1])*(b[i+1]-b[i])/2;
            S += areas[i];
        }
        for (std::size_t i = 0; i < areas.size(); ++i)
            areas[i] /= S;
        for (std::size_t i = 0; i < Np+1; ++i)
            p[i] /= S;
        for (std::size_t i = 0; i < N; ++i)
        {
          std::ptrdiff_t k = std::lower_bound(b, b + Np + 1, u[i]) - b - 1;
          if (k != kp) {
            a = 0;
            for (int j = 0; j < k; ++j)
              a += areas[j];
            m  = (p[k + 1] - p[k]) / (b[k + 1] - b[k]);
            bk = b[k];
            c  = (b[k + 1] * p[k] - b[k] * p[k + 1]) / (b[k + 1] - b[k]);
            kp = k;
            }
          assert(std::abs(f(u[i], a, m, bk, c) - double(i) / N) < .0013);
        }
    }

  return 0;
}