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</pre><pre class="rust"><code><span class="doccomment">//! An experimental SEIR model by https://github.com/omalaspinas/ glued to the traffic simulation.</span>
<span class="doccomment">//! Transmission may occur when people spend time in shared spaces like buildings, bus stops, and</span>
<span class="doccomment">//! buses.</span>

<span class="kw">use</span> <span class="ident">std::ops</span>;

<span class="kw">use</span> <span class="ident">anyhow::Result</span>;

<span class="kw">pub</span> <span class="kw">use</span> <span class="ident">model</span>::{<span class="ident">Cmd</span>, <span class="ident">PandemicModel</span>};
<span class="kw">use</span> <span class="ident">rand::Rng</span>;
<span class="kw">use</span> <span class="ident">rand_distr</span>::{<span class="ident">Distribution</span>, <span class="ident">Exp</span>, <span class="ident">Normal</span>};
<span class="kw">use</span> <span class="ident">rand_xorshift::XorShiftRng</span>;

<span class="kw">use</span> <span class="ident">geom</span>::{<span class="ident">Duration</span>, <span class="ident">Time</span>};

<span class="kw">mod</span> <span class="ident">model</span>;

<span class="attribute">#[<span class="ident">derive</span>(<span class="ident">Clone</span>, <span class="ident">Copy</span>, <span class="ident">Debug</span>, <span class="ident">PartialEq</span>, <span class="ident">PartialOrd</span>)]</span>
<span class="kw">pub</span> <span class="kw">struct</span> <span class="ident">AnyTime</span>(<span class="ident">f64</span>);

<span class="kw">impl</span> <span class="ident">AnyTime</span> {
    <span class="kw">fn</span> <span class="ident">inner_seconds</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="ident">f64</span> {
        <span class="self">self</span>.<span class="number">0</span>
    }

    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">is_finite</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="ident">bool</span> {
        <span class="self">self</span>.<span class="number">0</span>.<span class="ident">is_finite</span>()
    }
}

<span class="kw">impl</span> <span class="ident">ops::Add</span><span class="op">&lt;</span><span class="ident">Duration</span><span class="op">&gt;</span> <span class="kw">for</span> <span class="ident">AnyTime</span> {
    <span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">AnyTime</span>;

    <span class="kw">fn</span> <span class="ident">add</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="ident">Duration</span>) -&gt; <span class="ident">AnyTime</span> {
        <span class="ident">AnyTime</span>(<span class="self">self</span>.<span class="number">0</span> <span class="op">+</span> <span class="ident">other</span>.<span class="ident">inner_seconds</span>())
    }
}

<span class="kw">impl</span> <span class="ident">ops::AddAssign</span><span class="op">&lt;</span><span class="ident">Duration</span><span class="op">&gt;</span> <span class="kw">for</span> <span class="ident">AnyTime</span> {
    <span class="kw">fn</span> <span class="ident">add_assign</span>(<span class="kw-2">&amp;mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">Duration</span>) {
        <span class="kw-2">*</span><span class="self">self</span> <span class="op">=</span> <span class="kw-2">*</span><span class="self">self</span> <span class="op">+</span> <span class="ident">other</span>;
    }
}

<span class="kw">impl</span> <span class="ident">ops::Sub</span><span class="op">&lt;</span><span class="ident">Duration</span><span class="op">&gt;</span> <span class="kw">for</span> <span class="ident">AnyTime</span> {
    <span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">AnyTime</span>;

    <span class="kw">fn</span> <span class="ident">sub</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="ident">Duration</span>) -&gt; <span class="ident">AnyTime</span> {
        <span class="ident">AnyTime</span>(<span class="self">self</span>.<span class="number">0</span> <span class="op">-</span> <span class="ident">other</span>.<span class="ident">inner_seconds</span>())
    }
}

<span class="kw">impl</span> <span class="ident">ops::Sub</span> <span class="kw">for</span> <span class="ident">AnyTime</span> {
    <span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">Duration</span>;

    <span class="kw">fn</span> <span class="ident">sub</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="ident">AnyTime</span>) -&gt; <span class="ident">Duration</span> {
        <span class="ident">Duration::seconds</span>(<span class="self">self</span>.<span class="number">0</span> <span class="op">-</span> <span class="ident">other</span>.<span class="number">0</span>)
    }
}

<span class="kw">impl</span> <span class="ident">From</span><span class="op">&lt;</span><span class="ident">Time</span><span class="op">&gt;</span> <span class="kw">for</span> <span class="ident">AnyTime</span> {
    <span class="kw">fn</span> <span class="ident">from</span>(<span class="ident">t</span>: <span class="ident">Time</span>) -&gt; <span class="ident">AnyTime</span> {
        <span class="ident">AnyTime</span>(<span class="ident">t</span>.<span class="ident">inner_seconds</span>())
    }
}

<span class="kw">impl</span> <span class="ident">From</span><span class="op">&lt;</span><span class="ident">AnyTime</span><span class="op">&gt;</span> <span class="kw">for</span> <span class="ident">Time</span> {
    <span class="kw">fn</span> <span class="ident">from</span>(<span class="ident">time</span>: <span class="ident">AnyTime</span>) -&gt; <span class="self">Self</span> {
        <span class="ident">Time::START_OF_DAY</span> <span class="op">+</span> <span class="ident">Duration::seconds</span>(<span class="ident">time</span>.<span class="ident">inner_seconds</span>())
    }
}

<span class="kw">impl</span> <span class="ident">From</span><span class="op">&lt;</span><span class="ident">f64</span><span class="op">&gt;</span> <span class="kw">for</span> <span class="ident">AnyTime</span> {
    <span class="kw">fn</span> <span class="ident">from</span>(<span class="ident">t</span>: <span class="ident">f64</span>) -&gt; <span class="ident">AnyTime</span> {
        <span class="ident">AnyTime</span>(<span class="ident">t</span>)
    }
}

<span class="attribute">#[<span class="ident">derive</span>(<span class="ident">Debug</span>, <span class="ident">Clone</span>)]</span>
<span class="kw">pub</span> <span class="kw">enum</span> <span class="ident">StateEvent</span> {
    <span class="ident">Exposition</span>,
    <span class="ident">Incubation</span>,
    <span class="ident">Hospitalization</span>,
    <span class="ident">Recovery</span>,
    <span class="ident">Death</span>,
}

<span class="attribute">#[<span class="ident">derive</span>(<span class="ident">Debug</span>, <span class="ident">Clone</span>)]</span>
<span class="kw">pub</span> <span class="kw">struct</span> <span class="ident">Event</span> {
    <span class="ident">s</span>: <span class="ident">StateEvent</span>,
    <span class="ident">p_hosp</span>: <span class="ident">f64</span>,  <span class="comment">// probability of people being hospitalized after infection</span>
    <span class="ident">p_death</span>: <span class="ident">f64</span>, <span class="comment">// probability of dying after hospitalizaion</span>
    <span class="ident">t</span>: <span class="ident">AnyTime</span>,
}

<span class="kw">impl</span> <span class="ident">Event</span> {
    <span class="kw">fn</span> <span class="ident">next</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">now</span>: <span class="ident">AnyTime</span>, <span class="ident">rng</span>: <span class="kw-2">&amp;mut</span> <span class="ident">XorShiftRng</span>) -&gt; <span class="ident">State</span> {
        <span class="kw">match</span> <span class="self">self</span>.<span class="ident">s</span> {
            <span class="ident">StateEvent::Exposition</span> =&gt; <span class="ident">State::Exposed</span>((
                <span class="ident">Event</span> {
                    <span class="ident">s</span>: <span class="ident">StateEvent::Incubation</span>,
                    <span class="ident">p_hosp</span>: <span class="self">self</span>.<span class="ident">p_hosp</span>,
                    <span class="ident">p_death</span>: <span class="self">self</span>.<span class="ident">p_death</span>,
                    <span class="ident">t</span>: <span class="ident">now</span> <span class="op">+</span> <span class="ident">State::get_time_normal</span>(<span class="ident">State::T_INC</span>, <span class="ident">State::T_INC</span> <span class="op">/</span> <span class="number">2.0</span>, <span class="ident">rng</span>),
                },
                <span class="ident">now</span>.<span class="ident">into</span>(),
            )),
            <span class="ident">StateEvent::Incubation</span> =&gt; {
                <span class="kw">if</span> <span class="ident">rng</span>.<span class="ident">gen_bool</span>(<span class="self">self</span>.<span class="ident">p_death</span>) {
                    <span class="ident">State::Infectious</span>((
                        <span class="ident">Event</span> {
                            <span class="ident">s</span>: <span class="ident">StateEvent::Recovery</span>,
                            <span class="ident">p_hosp</span>: <span class="self">self</span>.<span class="ident">p_hosp</span>,
                            <span class="ident">p_death</span>: <span class="self">self</span>.<span class="ident">p_death</span>,
                            <span class="ident">t</span>: <span class="ident">now</span> <span class="op">+</span> <span class="ident">State::get_time_normal</span>(<span class="ident">State::T_INF</span>, <span class="ident">State::T_INF</span> <span class="op">/</span> <span class="number">2.0</span>, <span class="ident">rng</span>),
                        },
                        <span class="ident">now</span>.<span class="ident">into</span>(),
                    ))
                } <span class="kw">else</span> {
                    <span class="ident">State::Infectious</span>((
                        <span class="ident">Event</span> {
                            <span class="ident">s</span>: <span class="ident">StateEvent::Hospitalization</span>,
                            <span class="ident">p_hosp</span>: <span class="self">self</span>.<span class="ident">p_hosp</span>,
                            <span class="ident">p_death</span>: <span class="self">self</span>.<span class="ident">p_death</span>,
                            <span class="ident">t</span>: <span class="ident">now</span> <span class="op">+</span> <span class="ident">State::get_time_normal</span>(<span class="ident">State::T_INF</span>, <span class="ident">State::T_INF</span> <span class="op">/</span> <span class="number">2.0</span>, <span class="ident">rng</span>),
                        },
                        <span class="ident">now</span>.<span class="ident">into</span>(),
                    ))
                }
            }
            <span class="ident">StateEvent::Hospitalization</span> =&gt; {
                <span class="kw">if</span> <span class="ident">rng</span>.<span class="ident">gen_bool</span>(<span class="self">self</span>.<span class="ident">p_hosp</span>) {
                    <span class="ident">State::Hospitalized</span>((
                        <span class="ident">Event</span> {
                            <span class="ident">s</span>: <span class="ident">StateEvent::Recovery</span>,
                            <span class="ident">p_hosp</span>: <span class="self">self</span>.<span class="ident">p_hosp</span>,
                            <span class="ident">p_death</span>: <span class="self">self</span>.<span class="ident">p_death</span>,
                            <span class="ident">t</span>: <span class="ident">now</span> <span class="op">+</span> <span class="ident">State::get_time_normal</span>(<span class="ident">State::T_INF</span>, <span class="ident">State::T_INF</span> <span class="op">/</span> <span class="number">2.0</span>, <span class="ident">rng</span>),
                        },
                        <span class="ident">now</span>.<span class="ident">into</span>(),
                    ))
                } <span class="kw">else</span> {
                    <span class="ident">State::Hospitalized</span>((
                        <span class="ident">Event</span> {
                            <span class="ident">s</span>: <span class="ident">StateEvent::Death</span>,
                            <span class="ident">p_hosp</span>: <span class="self">self</span>.<span class="ident">p_hosp</span>,
                            <span class="ident">p_death</span>: <span class="self">self</span>.<span class="ident">p_death</span>,
                            <span class="ident">t</span>: <span class="ident">now</span> <span class="op">+</span> <span class="ident">State::get_time_normal</span>(<span class="ident">State::T_INF</span>, <span class="ident">State::T_INF</span> <span class="op">/</span> <span class="number">2.0</span>, <span class="ident">rng</span>),
                        },
                        <span class="ident">now</span>.<span class="ident">into</span>(),
                    ))
                }
            }
            <span class="ident">StateEvent::Death</span> =&gt; <span class="ident">State::Dead</span>(<span class="ident">now</span>.<span class="ident">into</span>()),
            <span class="ident">StateEvent::Recovery</span> =&gt; <span class="ident">State::Recovered</span>(<span class="ident">now</span>.<span class="ident">into</span>()),
        }
    }
}

<span class="attribute">#[<span class="ident">derive</span>(<span class="ident">Debug</span>, <span class="ident">Clone</span>)]</span>
<span class="kw">pub</span> <span class="kw">enum</span> <span class="ident">State</span> {
    <span class="ident">Sane</span>((<span class="ident">Event</span>, <span class="ident">Time</span>)),
    <span class="ident">Exposed</span>((<span class="ident">Event</span>, <span class="ident">Time</span>)),
    <span class="ident">Infectious</span>((<span class="ident">Event</span>, <span class="ident">Time</span>)),
    <span class="ident">Hospitalized</span>((<span class="ident">Event</span>, <span class="ident">Time</span>)),
    <span class="ident">Recovered</span>(<span class="ident">Time</span>),
    <span class="ident">Dead</span>(<span class="ident">Time</span>),
}

<span class="kw">impl</span> <span class="ident">State</span> {
    <span class="kw">const</span> <span class="ident">T_INF</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">360.0</span> <span class="op">*</span> <span class="number">10.0</span>; <span class="comment">// TODO dummy values</span>
    <span class="kw">const</span> <span class="ident">T_INC</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">3600.0</span>; <span class="comment">// TODO dummy values</span>
    <span class="kw">const</span> <span class="ident">R_0</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">2.5</span>;
    <span class="comment">// const S_RATIO: f64 = 0.985;</span>
    <span class="kw">const</span> <span class="ident">E_RATIO</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">0.01</span>;
    <span class="kw">const</span> <span class="ident">I_RATIO</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">0.05</span>;
    <span class="comment">// const R_RATIO: f64 = 0.0;</span>

    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">ini_infectious_ratio</span>() -&gt; <span class="ident">f64</span> {
        <span class="ident"><span class="self">Self</span>::I_RATIO</span>
    }

    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">ini_exposed_ratio</span>() -&gt; <span class="ident">f64</span> {
        <span class="ident"><span class="self">Self</span>::E_RATIO</span>
    }

    <span class="kw">fn</span> <span class="ident">new</span>(<span class="ident">p_hosp</span>: <span class="ident">f64</span>, <span class="ident">p_death</span>: <span class="ident">f64</span>) -&gt; <span class="self">Self</span> {
        <span class="ident"><span class="self">Self</span>::Sane</span>((
            <span class="ident">Event</span> {
                <span class="ident">s</span>: <span class="ident">StateEvent::Exposition</span>,
                <span class="ident">p_hosp</span>,
                <span class="ident">p_death</span>,
                <span class="ident">t</span>: <span class="ident">AnyTime::from</span>(<span class="ident">std::f64::INFINITY</span>),
            },
            <span class="ident">Time::START_OF_DAY</span>,
        ))
    }

    <span class="kw">fn</span> <span class="ident">get_time_exp</span>(<span class="ident">lambda</span>: <span class="ident">f64</span>, <span class="ident">rng</span>: <span class="kw-2">&amp;mut</span> <span class="ident">XorShiftRng</span>) -&gt; <span class="ident">geom::Duration</span> {
        <span class="kw">let</span> <span class="ident">normal</span> <span class="op">=</span> <span class="ident">Exp::new</span>(<span class="ident">lambda</span>).<span class="ident">unwrap</span>();
        <span class="ident">Duration::seconds</span>(<span class="ident">normal</span>.<span class="ident">sample</span>(<span class="ident">rng</span>))
    }

    <span class="kw">fn</span> <span class="ident">get_time_normal</span>(<span class="ident">mu</span>: <span class="ident">f64</span>, <span class="ident">sigma</span>: <span class="ident">f64</span>, <span class="ident">rng</span>: <span class="kw-2">&amp;mut</span> <span class="ident">XorShiftRng</span>) -&gt; <span class="ident">geom::Duration</span> {
        <span class="kw">let</span> <span class="ident">normal</span> <span class="op">=</span> <span class="ident">Normal::new</span>(<span class="ident">mu</span>, <span class="ident">sigma</span>).<span class="ident">unwrap</span>();
        <span class="ident">Duration::seconds</span>(<span class="ident">normal</span>.<span class="ident">sample</span>(<span class="ident">rng</span>))
    }

    <span class="kw">fn</span> <span class="ident">is_sane</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="ident">bool</span> {
        <span class="kw">match</span> <span class="self">self</span> {
            <span class="ident">State::Sane</span>((<span class="ident">ev</span>, <span class="kw">_</span>)) =&gt; <span class="op">!</span><span class="ident">ev</span>.<span class="ident">t</span>.<span class="ident">is_finite</span>(),
            <span class="kw">_</span> =&gt; <span class="bool-val">false</span>,
        }
    }

    <span class="kw">fn</span> <span class="ident">is_exposed</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="ident">bool</span> {
        <span class="macro">matches!</span>(<span class="self">self</span>, <span class="ident">State::Exposed</span>(<span class="kw">_</span>))
    }

    <span class="kw">fn</span> <span class="ident">is_infectious</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="ident">bool</span> {
        <span class="macro">matches!</span>(<span class="self">self</span>, <span class="ident">State::Infectious</span>(<span class="kw">_</span>) <span class="op">|</span> <span class="ident">State::Hospitalized</span>(<span class="kw">_</span>))
    }

    <span class="kw">fn</span> <span class="ident">is_recovered</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="ident">bool</span> {
        <span class="macro">matches!</span>(<span class="self">self</span>, <span class="ident">State::Recovered</span>(<span class="kw">_</span>))
    }

    <span class="kw">fn</span> <span class="ident">is_dead</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="ident">bool</span> {
        <span class="macro">matches!</span>(<span class="self">self</span>, <span class="ident">State::Dead</span>(<span class="kw">_</span>))
    }

    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">get_time</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="prelude-ty">Option</span><span class="op">&lt;</span><span class="ident">Time</span><span class="op">&gt;</span> {
        <span class="kw">match</span> <span class="self">self</span> {
            <span class="ident"><span class="self">Self</span>::Sane</span>(<span class="kw">_</span>) =&gt; <span class="prelude-val">None</span>,
            <span class="ident"><span class="self">Self</span>::Recovered</span>(<span class="ident">t</span>)
            <span class="op">|</span> <span class="ident"><span class="self">Self</span>::Dead</span>(<span class="ident">t</span>)
            <span class="op">|</span> <span class="ident"><span class="self">Self</span>::Exposed</span>((<span class="kw">_</span>, <span class="ident">t</span>))
            <span class="op">|</span> <span class="ident"><span class="self">Self</span>::Infectious</span>((<span class="kw">_</span>, <span class="ident">t</span>))
            <span class="op">|</span> <span class="ident"><span class="self">Self</span>::Hospitalized</span>((<span class="kw">_</span>, <span class="ident">t</span>)) =&gt; <span class="prelude-val">Some</span>(<span class="kw-2">*</span><span class="ident">t</span>),
        }
    }

    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">get_event_time</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="prelude-ty">Option</span><span class="op">&lt;</span><span class="ident">AnyTime</span><span class="op">&gt;</span> {
        <span class="kw">match</span> <span class="self">self</span> {
            <span class="ident"><span class="self">Self</span>::Sane</span>((<span class="ident">ev</span>, <span class="kw">_</span>))
            <span class="op">|</span> <span class="ident"><span class="self">Self</span>::Exposed</span>((<span class="ident">ev</span>, <span class="kw">_</span>))
            <span class="op">|</span> <span class="ident"><span class="self">Self</span>::Infectious</span>((<span class="ident">ev</span>, <span class="kw">_</span>))
            <span class="op">|</span> <span class="ident"><span class="self">Self</span>::Hospitalized</span>((<span class="ident">ev</span>, <span class="kw">_</span>)) =&gt; <span class="prelude-val">Some</span>(<span class="ident">ev</span>.<span class="ident">t</span>),
            <span class="ident"><span class="self">Self</span>::Recovered</span>(<span class="kw">_</span>) <span class="op">|</span> <span class="ident"><span class="self">Self</span>::Dead</span>(<span class="kw">_</span>) =&gt; <span class="prelude-val">None</span>,
        }
    }

    <span class="comment">// pub fn set_time(self, new_time: AnyTime) -&gt; Self {</span>
    <span class="comment">//     match self {</span>
    <span class="comment">//         Self::Sane(Event {</span>
    <span class="comment">//             s,</span>
    <span class="comment">//             p_hosp,</span>
    <span class="comment">//             p_death,</span>
    <span class="comment">//             t: _,</span>
    <span class="comment">//         }) =&gt; Self::Sane(Event {</span>
    <span class="comment">//             s,</span>
    <span class="comment">//             p_hosp,</span>
    <span class="comment">//             p_death,</span>
    <span class="comment">//             t: new_time,</span>
    <span class="comment">//         }),</span>
    <span class="comment">//         _ =&gt; unreachable!(),</span>
    <span class="comment">//     }</span>
    <span class="comment">// }</span>

    <span class="comment">// TODO: not sure if we want an option here...</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">next_default</span>(<span class="self">self</span>, <span class="ident">default</span>: <span class="ident">AnyTime</span>, <span class="ident">rng</span>: <span class="kw-2">&amp;mut</span> <span class="ident">XorShiftRng</span>) -&gt; <span class="prelude-ty">Option</span><span class="op">&lt;</span><span class="self">Self</span><span class="op">&gt;</span> {
        <span class="comment">// TODO: when #![feature(bindings_after_at)] reaches stable</span>
        <span class="comment">// rewrite this part with it</span>
        <span class="kw">match</span> <span class="self">self</span> {
            <span class="ident"><span class="self">Self</span>::Sane</span>((<span class="ident">ev</span>, <span class="kw">_</span>)) =&gt; <span class="prelude-val">Some</span>(<span class="ident"><span class="self">Self</span>::Sane</span>((<span class="ident">ev</span>, <span class="ident">default</span>.<span class="ident">into</span>()))),
            <span class="ident"><span class="self">Self</span>::Exposed</span>((<span class="ident">ev</span>, <span class="kw">_</span>)) =&gt; <span class="prelude-val">Some</span>(<span class="ident">ev</span>.<span class="ident">next</span>(<span class="ident">default</span>, <span class="ident">rng</span>)),
            <span class="ident"><span class="self">Self</span>::Infectious</span>((<span class="ident">ev</span>, <span class="kw">_</span>)) =&gt; <span class="prelude-val">Some</span>(<span class="ident">ev</span>.<span class="ident">next</span>(<span class="ident">default</span>, <span class="ident">rng</span>)),
            <span class="ident"><span class="self">Self</span>::Hospitalized</span>((<span class="ident">ev</span>, <span class="kw">_</span>)) =&gt; <span class="prelude-val">Some</span>(<span class="ident">ev</span>.<span class="ident">next</span>(<span class="ident">default</span>, <span class="ident">rng</span>)),
            <span class="ident"><span class="self">Self</span>::Recovered</span>(<span class="kw">_</span>) =&gt; <span class="prelude-val">Some</span>(<span class="ident"><span class="self">Self</span>::Recovered</span>(<span class="ident">default</span>.<span class="ident">into</span>())),
            <span class="ident"><span class="self">Self</span>::Dead</span>(<span class="kw">_</span>) =&gt; <span class="prelude-val">Some</span>(<span class="ident"><span class="self">Self</span>::Dead</span>(<span class="ident">default</span>.<span class="ident">into</span>())),
        }
    }

    <span class="comment">// TODO: not sure if we want an option here...</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">next</span>(<span class="self">self</span>, <span class="ident">now</span>: <span class="ident">AnyTime</span>, <span class="ident">rng</span>: <span class="kw-2">&amp;mut</span> <span class="ident">XorShiftRng</span>) -&gt; <span class="prelude-ty">Option</span><span class="op">&lt;</span><span class="self">Self</span><span class="op">&gt;</span> {
        <span class="comment">// TODO: when #![feature(bindings_after_at)] reaches stable</span>
        <span class="comment">// rewrite this part with it</span>
        <span class="kw">match</span> <span class="self">self</span> {
            <span class="ident"><span class="self">Self</span>::Sane</span>((<span class="ident">ev</span>, <span class="ident">t</span>)) =&gt; <span class="prelude-val">Some</span>(<span class="ident"><span class="self">Self</span>::Sane</span>((<span class="ident">ev</span>, <span class="ident">t</span>))),
            <span class="ident"><span class="self">Self</span>::Exposed</span>((<span class="ident">ev</span>, <span class="ident">t</span>)) =&gt; {
                <span class="kw">if</span> <span class="ident">ev</span>.<span class="ident">t</span> <span class="op">&lt;</span><span class="op">=</span> <span class="ident">now</span> {
                    <span class="prelude-val">Some</span>(<span class="ident">ev</span>.<span class="ident">next</span>(<span class="ident">now</span>, <span class="ident">rng</span>))
                } <span class="kw">else</span> {
                    <span class="prelude-val">Some</span>(<span class="ident"><span class="self">Self</span>::Exposed</span>((<span class="ident">ev</span>, <span class="ident">t</span>)))
                }
            }
            <span class="ident"><span class="self">Self</span>::Infectious</span>((<span class="ident">ev</span>, <span class="ident">t</span>)) =&gt; {
                <span class="kw">if</span> <span class="ident">ev</span>.<span class="ident">t</span> <span class="op">&lt;</span><span class="op">=</span> <span class="ident">now</span> {
                    <span class="prelude-val">Some</span>(<span class="ident">ev</span>.<span class="ident">next</span>(<span class="ident">now</span>, <span class="ident">rng</span>))
                } <span class="kw">else</span> {
                    <span class="prelude-val">Some</span>(<span class="ident"><span class="self">Self</span>::Infectious</span>((<span class="ident">ev</span>, <span class="ident">t</span>)))
                }
            }
            <span class="ident"><span class="self">Self</span>::Hospitalized</span>((<span class="ident">ev</span>, <span class="ident">t</span>)) =&gt; {
                <span class="kw">if</span> <span class="ident">ev</span>.<span class="ident">t</span> <span class="op">&lt;</span><span class="op">=</span> <span class="ident">now</span> {
                    <span class="prelude-val">Some</span>(<span class="ident">ev</span>.<span class="ident">next</span>(<span class="ident">now</span>, <span class="ident">rng</span>))
                } <span class="kw">else</span> {
                    <span class="prelude-val">Some</span>(<span class="ident"><span class="self">Self</span>::Hospitalized</span>((<span class="ident">ev</span>, <span class="ident">t</span>)))
                }
            }
            <span class="ident"><span class="self">Self</span>::Recovered</span>(<span class="ident">t</span>) =&gt; <span class="prelude-val">Some</span>(<span class="ident"><span class="self">Self</span>::Recovered</span>(<span class="ident">t</span>)),
            <span class="ident"><span class="self">Self</span>::Dead</span>(<span class="ident">t</span>) =&gt; <span class="prelude-val">Some</span>(<span class="ident"><span class="self">Self</span>::Dead</span>(<span class="ident">t</span>)),
        }
    }

    <span class="comment">// TODO: not sure if we want an option here... I guess here we want because we could have</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">start</span>(<span class="self">self</span>, <span class="ident">now</span>: <span class="ident">AnyTime</span>, <span class="ident">overlap</span>: <span class="ident">Duration</span>, <span class="ident">rng</span>: <span class="kw-2">&amp;mut</span> <span class="ident">XorShiftRng</span>) -&gt; <span class="prelude-ty">Result</span><span class="op">&lt;</span><span class="self">Self</span><span class="op">&gt;</span> {
        <span class="comment">// rewrite this part with it</span>
        <span class="kw">match</span> <span class="self">self</span> {
            <span class="ident"><span class="self">Self</span>::Sane</span>((<span class="ident">ev</span>, <span class="ident">t</span>)) =&gt; {
                <span class="kw">if</span> <span class="ident">overlap</span> <span class="op">&gt;</span><span class="op">=</span> <span class="ident"><span class="self">Self</span>::get_time_exp</span>(<span class="ident">State::R_0</span> <span class="op">/</span> <span class="ident">State::T_INF</span>, <span class="ident">rng</span>) {
                    <span class="prelude-val">Ok</span>(<span class="ident">ev</span>.<span class="ident">next</span>(<span class="ident">now</span>, <span class="ident">rng</span>))
                } <span class="kw">else</span> {
                    <span class="prelude-val">Ok</span>(<span class="ident"><span class="self">Self</span>::Sane</span>((<span class="ident">ev</span>, <span class="ident">t</span>)))
                }
            }
            <span class="kw">_</span> =&gt; <span class="macro">bail!</span>(<span class="string">&quot;impossible to start from a non-sane situation.&quot;</span>,),
        }
    }
}
</code></pre></div>
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