/* @file BrownianMotion.cpp */

#include "xo/reflect/TaggedPtr.hpp"
//#include "time/Time.hpp"
#include "BrownianMotion.hpp"
#include <cmath>

namespace xo {
    using xo::time::utc_nanos;
    using xo::scope;
    using xo::xtag;

    namespace process {
        double
        BrownianMotionBase::variance_dt(nanos dt) const
        {
            constexpr uint64_t c_sec_per_day = (24L * 3600L);
            constexpr double c_day_per_sec = (1.0 / c_sec_per_day);

            /* time-to-horizon in nanos */
            double dt_sec = std::chrono::duration<double>(dt).count();
            double dt_day = dt_sec * c_day_per_sec;

            return this->vol2_day_ * dt_day;
        } /*variance_dt*/

        double
        BrownianMotionBase::exterior_sample_impl(utc_nanos t,
                                                 BrownianMotionBase::event_type const & lo,
                                                 double x0)
        {
            constexpr bool c_logging_enabled = false;

            scope log(XO_DEBUG(c_logging_enabled));

            /* sample brownian motion starting at t0;
             * offset by lo.second
             */

            utc_nanos lo_tm = lo.first;
            double lo_x = lo.second;

            nanos dt = (t - lo_tm);

            /* variance at horizon t,  relative to value at lo.first */
            double var = this->variance_dt(dt);

            /* scale for variance of B(t) - B(lo) */
            double dx = ::sqrt(var) * x0;

            double sample = lo_x + dx;

            log && log("result",
                       xtag("start-time", this->t0()),
                       xtag("vol2-day", this->vol2_day()),
                       xtag("lo.tm", lo_tm),
                       xtag("lo.x", lo_x),
                       xtag("dt-us", std::chrono::duration_cast<std::chrono::microseconds>(dt).count()),
                       xtag("var", var),
                       xtag("dx", dx));

            return sample;
        } /*exterior_sample_impl*/

        // ----- BrownianMotion -----

#ifdef NOT_IN_USE
        utc_nanos
        BrownianMotion::hitting_time(double const & a,
                                     event_type const & lo)
        {
            /* (1)
             * probability density function p1(s)
             * giving hitting time for brownian motion starting at 0,
             * first time to reach a constant barrier a:
             *
             *                                a^2
             *                              - ---
             *                  a             2.s
             *    p1(s) = ------------- . e
             *            sqrt(2.pi.s^3)
             *
             * (2)
             * we also know probability density function p2(s)
             * giving hitting time for brownian motion starting at 0,
             * first time to reach expanding barrier a + ct:
             * (i.e. T2 = inf{t : B(t) = c.t + a, t > 0})
             *
             *                                (c.s + a)^2
             *                              - -----------
             *                  a                 2.s
             *    p2(s) = -------------- . e
             *            sqrt(2.pi.s^3)
             *
             */
        } /*hitting_time*/
#endif

    } /*namespace process*/
} /*namespace xo*/

/* end BrownianMotion.cpp */