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</pre><div class="example-wrap"><pre class="rust ">
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">fmt</span>;

<span class="kw">use</span> <span class="ident">ordered_float</span>::<span class="ident">NotNan</span>;
<span class="kw">use</span> <span class="ident">serde</span>::{<span class="ident">Deserialize</span>, <span class="ident">Serialize</span>};

<span class="kw">use</span> <span class="kw">crate</span>::{<span class="ident">trim_f64</span>, <span class="ident">Angle</span>, <span class="ident">Distance</span>, <span class="ident">GPSBounds</span>, <span class="ident">LonLat</span>, <span class="ident">EPSILON_DIST</span>};

<span class="doccomment">/// This represents world-space in meters.</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">Serialize</span>, <span class="ident">Deserialize</span>)]</span>
<span class="kw">pub</span> <span class="kw">struct</span> <span class="ident">Pt2D</span> {
    <span class="ident">inner_x</span>: <span class="ident">f64</span>,
    <span class="ident">inner_y</span>: <span class="ident">f64</span>,
}

<span class="kw">impl</span> <span class="ident">std</span>::<span class="ident">cmp</span>::<span class="ident">PartialEq</span> <span class="kw">for</span> <span class="ident">Pt2D</span> {
    <span class="kw">fn</span> <span class="ident">eq</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="ident">Pt2D</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> {
        <span class="self">self</span>.<span class="ident">approx_eq</span>(<span class="kw-2">*</span><span class="ident">other</span>, <span class="ident">EPSILON_DIST</span>)
    }
}

<span class="kw">impl</span> <span class="ident">Pt2D</span> {
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">new</span>(<span class="ident">x</span>: <span class="ident">f64</span>, <span class="ident">y</span>: <span class="ident">f64</span>) <span class="op">-&gt;</span> <span class="ident">Pt2D</span> {
        <span class="kw">if</span> <span class="op">!</span><span class="ident">x</span>.<span class="ident">is_finite</span>() <span class="op">||</span> <span class="op">!</span><span class="ident">y</span>.<span class="ident">is_finite</span>() {
            <span class="macro">panic</span><span class="macro">!</span>(<span class="string">&quot;Bad Pt2D {}, {}&quot;</span>, <span class="ident">x</span>, <span class="ident">y</span>);
        }

        <span class="comment">// TODO enforce &gt;=0</span>

        <span class="ident">Pt2D</span> {
            <span class="ident">inner_x</span>: <span class="ident">trim_f64</span>(<span class="ident">x</span>),
            <span class="ident">inner_y</span>: <span class="ident">trim_f64</span>(<span class="ident">y</span>),
        }
    }

    <span class="comment">// TODO This is a small first step...</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">approx_eq</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="ident">Pt2D</span>, <span class="ident">threshold</span>: <span class="ident">Distance</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> {
        <span class="self">self</span>.<span class="ident">dist_to</span>(<span class="ident">other</span>) <span class="op">&lt;=</span> <span class="ident">threshold</span>
    }

    <span class="doccomment">/// Can go out of bounds.</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">from_gps</span>(<span class="ident">gps</span>: <span class="ident">LonLat</span>, <span class="ident">b</span>: <span class="kw-2">&amp;</span><span class="ident">GPSBounds</span>) <span class="op">-&gt;</span> <span class="ident">Pt2D</span> {
        <span class="kw">let</span> (<span class="ident">width</span>, <span class="ident">height</span>) <span class="op">=</span> {
            <span class="kw">let</span> <span class="ident">pt</span> <span class="op">=</span> <span class="ident">b</span>.<span class="ident">get_max_world_pt</span>();
            (<span class="ident">pt</span>.<span class="ident">x</span>(), <span class="ident">pt</span>.<span class="ident">y</span>())
        };

        <span class="kw">let</span> <span class="ident">x</span> <span class="op">=</span> (<span class="ident">gps</span>.<span class="ident">x</span>() <span class="op">-</span> <span class="ident">b</span>.<span class="ident">min_lon</span>) <span class="op">/</span> (<span class="ident">b</span>.<span class="ident">max_lon</span> <span class="op">-</span> <span class="ident">b</span>.<span class="ident">min_lon</span>) <span class="op">*</span> <span class="ident">width</span>;
        <span class="comment">// Invert y, so that the northernmost latitude is 0. Screen drawing order, not Cartesian</span>
        <span class="comment">// grid.</span>
        <span class="kw">let</span> <span class="ident">y</span> <span class="op">=</span> <span class="ident">height</span> <span class="op">-</span> ((<span class="ident">gps</span>.<span class="ident">y</span>() <span class="op">-</span> <span class="ident">b</span>.<span class="ident">min_lat</span>) <span class="op">/</span> (<span class="ident">b</span>.<span class="ident">max_lat</span> <span class="op">-</span> <span class="ident">b</span>.<span class="ident">min_lat</span>) <span class="op">*</span> <span class="ident">height</span>);
        <span class="ident">Pt2D</span>::<span class="ident">new</span>(<span class="ident">x</span>, <span class="ident">y</span>)
    }

    <span class="doccomment">/// Can go out of bounds.</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">to_gps</span>(<span class="self">self</span>, <span class="ident">b</span>: <span class="kw-2">&amp;</span><span class="ident">GPSBounds</span>) <span class="op">-&gt;</span> <span class="ident">LonLat</span> {
        <span class="kw">let</span> (<span class="ident">width</span>, <span class="ident">height</span>) <span class="op">=</span> {
            <span class="kw">let</span> <span class="ident">pt</span> <span class="op">=</span> <span class="ident">b</span>.<span class="ident">get_max_world_pt</span>();
            (<span class="ident">pt</span>.<span class="ident">x</span>(), <span class="ident">pt</span>.<span class="ident">y</span>())
        };
        <span class="kw">let</span> <span class="ident">lon</span> <span class="op">=</span> (<span class="self">self</span>.<span class="ident">x</span>() <span class="op">/</span> <span class="ident">width</span> <span class="op">*</span> (<span class="ident">b</span>.<span class="ident">max_lon</span> <span class="op">-</span> <span class="ident">b</span>.<span class="ident">min_lon</span>)) <span class="op">+</span> <span class="ident">b</span>.<span class="ident">min_lon</span>;
        <span class="kw">let</span> <span class="ident">lat</span> <span class="op">=</span> <span class="ident">b</span>.<span class="ident">min_lat</span> <span class="op">+</span> ((<span class="ident">b</span>.<span class="ident">max_lat</span> <span class="op">-</span> <span class="ident">b</span>.<span class="ident">min_lat</span>) <span class="op">*</span> (<span class="ident">height</span> <span class="op">-</span> <span class="self">self</span>.<span class="ident">y</span>()) <span class="op">/</span> <span class="ident">height</span>);
        <span class="ident">LonLat</span>::<span class="ident">new</span>(<span class="ident">lon</span>, <span class="ident">lat</span>)
    }

    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">x</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="ident">f64</span> {
        <span class="self">self</span>.<span class="ident">inner_x</span>
    }

    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">y</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="ident">f64</span> {
        <span class="self">self</span>.<span class="ident">inner_y</span>
    }

    <span class="comment">// TODO better name</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">project_away</span>(<span class="self">self</span>, <span class="ident">dist</span>: <span class="ident">Distance</span>, <span class="ident">theta</span>: <span class="ident">Angle</span>) <span class="op">-&gt;</span> <span class="ident">Pt2D</span> {
        <span class="comment">// If negative, caller should use theta.opposite()</span>
        <span class="macro">assert</span><span class="macro">!</span>(<span class="ident">dist</span> <span class="op">&gt;=</span> <span class="ident">Distance</span>::<span class="ident">ZERO</span>);

        <span class="kw">let</span> (<span class="ident">sin</span>, <span class="ident">cos</span>) <span class="op">=</span> <span class="ident">theta</span>.<span class="ident">normalized_radians</span>().<span class="ident">sin_cos</span>();
        <span class="ident">Pt2D</span>::<span class="ident">new</span>(
            <span class="self">self</span>.<span class="ident">x</span>() <span class="op">+</span> <span class="ident">dist</span>.<span class="ident">inner_meters</span>() <span class="op">*</span> <span class="ident">cos</span>,
            <span class="self">self</span>.<span class="ident">y</span>() <span class="op">+</span> <span class="ident">dist</span>.<span class="ident">inner_meters</span>() <span class="op">*</span> <span class="ident">sin</span>,
        )
    }

    <span class="comment">// TODO valid to do euclidean distance on world-space points that&#39;re formed from</span>
    <span class="comment">// Haversine?</span>
    <span class="kw">pub</span>(<span class="kw">crate</span>) <span class="kw">fn</span> <span class="ident">raw_dist_to</span>(<span class="self">self</span>, <span class="ident">to</span>: <span class="ident">Pt2D</span>) <span class="op">-&gt;</span> <span class="ident">f64</span> {
        ((<span class="self">self</span>.<span class="ident">x</span>() <span class="op">-</span> <span class="ident">to</span>.<span class="ident">x</span>()).<span class="ident">powi</span>(<span class="number">2</span>) <span class="op">+</span> (<span class="self">self</span>.<span class="ident">y</span>() <span class="op">-</span> <span class="ident">to</span>.<span class="ident">y</span>()).<span class="ident">powi</span>(<span class="number">2</span>)).<span class="ident">sqrt</span>()
    }

    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">dist_to</span>(<span class="self">self</span>, <span class="ident">to</span>: <span class="ident">Pt2D</span>) <span class="op">-&gt;</span> <span class="ident">Distance</span> {
        <span class="ident">Distance</span>::<span class="ident">meters</span>(<span class="self">self</span>.<span class="ident">raw_dist_to</span>(<span class="ident">to</span>))
    }

    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">angle_to</span>(<span class="self">self</span>, <span class="ident">to</span>: <span class="ident">Pt2D</span>) <span class="op">-&gt;</span> <span class="ident">Angle</span> {
        <span class="comment">// DON&#39;T invert y here</span>
        <span class="ident">Angle</span>::<span class="ident">new_rads</span>((<span class="ident">to</span>.<span class="ident">y</span>() <span class="op">-</span> <span class="self">self</span>.<span class="ident">y</span>()).<span class="ident">atan2</span>(<span class="ident">to</span>.<span class="ident">x</span>() <span class="op">-</span> <span class="self">self</span>.<span class="ident">x</span>()))
    }

    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">offset</span>(<span class="self">self</span>, <span class="ident">dx</span>: <span class="ident">f64</span>, <span class="ident">dy</span>: <span class="ident">f64</span>) <span class="op">-&gt;</span> <span class="ident">Pt2D</span> {
        <span class="ident">Pt2D</span>::<span class="ident">new</span>(<span class="self">self</span>.<span class="ident">x</span>() <span class="op">+</span> <span class="ident">dx</span>, <span class="self">self</span>.<span class="ident">y</span>() <span class="op">+</span> <span class="ident">dy</span>)
    }

    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">center</span>(<span class="ident">pts</span>: <span class="kw-2">&amp;</span><span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">Pt2D</span><span class="op">&gt;</span>) <span class="op">-&gt;</span> <span class="ident">Pt2D</span> {
        <span class="kw">if</span> <span class="ident">pts</span>.<span class="ident">is_empty</span>() {
            <span class="macro">panic</span><span class="macro">!</span>(<span class="string">&quot;Can&#39;t find center of 0 points&quot;</span>);
        }
        <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">x</span> <span class="op">=</span> <span class="number">0.0</span>;
        <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">y</span> <span class="op">=</span> <span class="number">0.0</span>;
        <span class="kw">for</span> <span class="ident">pt</span> <span class="kw">in</span> <span class="ident">pts</span> {
            <span class="ident">x</span> <span class="op">+=</span> <span class="ident">pt</span>.<span class="ident">x</span>();
            <span class="ident">y</span> <span class="op">+=</span> <span class="ident">pt</span>.<span class="ident">y</span>();
        }
        <span class="kw">let</span> <span class="ident">len</span> <span class="op">=</span> <span class="ident">pts</span>.<span class="ident">len</span>() <span class="kw">as</span> <span class="ident">f64</span>;
        <span class="ident">Pt2D</span>::<span class="ident">new</span>(<span class="ident">x</span> <span class="op">/</span> <span class="ident">len</span>, <span class="ident">y</span> <span class="op">/</span> <span class="ident">len</span>)
    }

    <span class="comment">// Temporary until Pt2D has proper resolution.</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">approx_dedupe</span>(<span class="ident">pts</span>: <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">Pt2D</span><span class="op">&gt;</span>, <span class="ident">threshold</span>: <span class="ident">Distance</span>) <span class="op">-&gt;</span> <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">Pt2D</span><span class="op">&gt;</span> {
        <span class="comment">// Just use dedup() on the Vec.</span>
        <span class="macro">assert_ne</span><span class="macro">!</span>(<span class="ident">threshold</span>, <span class="ident">EPSILON_DIST</span>);
        <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">result</span>: <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">Pt2D</span><span class="op">&gt;</span> <span class="op">=</span> <span class="ident">Vec</span>::<span class="ident">new</span>();
        <span class="kw">for</span> <span class="ident">pt</span> <span class="kw">in</span> <span class="ident">pts</span> {
            <span class="kw">if</span> <span class="ident">result</span>.<span class="ident">is_empty</span>() <span class="op">||</span> <span class="op">!</span><span class="ident">result</span>.<span class="ident">last</span>().<span class="ident">unwrap</span>().<span class="ident">approx_eq</span>(<span class="ident">pt</span>, <span class="ident">threshold</span>) {
                <span class="ident">result</span>.<span class="ident">push</span>(<span class="ident">pt</span>);
            }
        }
        <span class="ident">result</span>
    }

    <span class="comment">// TODO Try to deprecate in favor of Ring::get_shorter_slice_btwn</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">find_pts_between</span>(
        <span class="ident">pts</span>: <span class="kw-2">&amp;</span><span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">Pt2D</span><span class="op">&gt;</span>,
        <span class="ident">start</span>: <span class="ident">Pt2D</span>,
        <span class="ident">end</span>: <span class="ident">Pt2D</span>,
        <span class="ident">threshold</span>: <span class="ident">Distance</span>,
    ) <span class="op">-&gt;</span> <span class="prelude-ty">Option</span><span class="op">&lt;</span><span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">Pt2D</span><span class="op">&gt;&gt;</span> {
        <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">result</span> <span class="op">=</span> <span class="ident">Vec</span>::<span class="ident">new</span>();
        <span class="kw">for</span> <span class="ident">pt</span> <span class="kw">in</span> <span class="ident">pts</span> {
            <span class="kw">if</span> <span class="ident">result</span>.<span class="ident">is_empty</span>() <span class="op">&amp;&amp;</span> <span class="ident">pt</span>.<span class="ident">approx_eq</span>(<span class="ident">start</span>, <span class="ident">threshold</span>) {
                <span class="ident">result</span>.<span class="ident">push</span>(<span class="kw-2">*</span><span class="ident">pt</span>);
            } <span class="kw">else</span> <span class="kw">if</span> <span class="op">!</span><span class="ident">result</span>.<span class="ident">is_empty</span>() {
                <span class="ident">result</span>.<span class="ident">push</span>(<span class="kw-2">*</span><span class="ident">pt</span>);
            }
            <span class="comment">// start and end might be the same.</span>
            <span class="kw">if</span> <span class="op">!</span><span class="ident">result</span>.<span class="ident">is_empty</span>() <span class="op">&amp;&amp;</span> <span class="ident">pt</span>.<span class="ident">approx_eq</span>(<span class="ident">end</span>, <span class="ident">threshold</span>) {
                <span class="kw">return</span> <span class="prelude-val">Some</span>(<span class="ident">result</span>);
            }
        }

        <span class="comment">// start wasn&#39;t in the list!</span>
        <span class="kw">if</span> <span class="ident">result</span>.<span class="ident">is_empty</span>() {
            <span class="kw">return</span> <span class="prelude-val">None</span>;
        }

        <span class="comment">// Go through again, looking for end</span>
        <span class="kw">for</span> <span class="ident">pt</span> <span class="kw">in</span> <span class="ident">pts</span> {
            <span class="ident">result</span>.<span class="ident">push</span>(<span class="kw-2">*</span><span class="ident">pt</span>);
            <span class="kw">if</span> <span class="ident">pt</span>.<span class="ident">approx_eq</span>(<span class="ident">end</span>, <span class="ident">threshold</span>) {
                <span class="kw">return</span> <span class="prelude-val">Some</span>(<span class="ident">result</span>);
            }
        }
        <span class="comment">// Didn&#39;t find end</span>
        <span class="prelude-val">None</span>
    }

    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">to_hashable</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="ident">HashablePt2D</span> {
        <span class="ident">HashablePt2D</span> {
            <span class="ident">x_nan</span>: <span class="ident">NotNan</span>::<span class="ident">new</span>(<span class="self">self</span>.<span class="ident">x</span>()).<span class="ident">unwrap</span>(),
            <span class="ident">y_nan</span>: <span class="ident">NotNan</span>::<span class="ident">new</span>(<span class="self">self</span>.<span class="ident">y</span>()).<span class="ident">unwrap</span>(),
        }
    }
}

<span class="kw">impl</span> <span class="ident">fmt</span>::<span class="ident">Display</span> <span class="kw">for</span> <span class="ident">Pt2D</span> {
    <span class="kw">fn</span> <span class="ident">fmt</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">f</span>: <span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="ident">fmt</span>::<span class="ident">Formatter</span>) <span class="op">-&gt;</span> <span class="ident">fmt</span>::<span class="prelude-ty">Result</span> {
        <span class="macro">write</span><span class="macro">!</span>(<span class="ident">f</span>, <span class="string">&quot;Pt2D({0}, {1})&quot;</span>, <span class="self">self</span>.<span class="ident">x</span>(), <span class="self">self</span>.<span class="ident">y</span>())
    }
}

<span class="doccomment">/// This represents world space, NOT LonLat.</span>
<span class="comment">// TODO So rename it HashablePair or something</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">Eq</span>, <span class="ident">Hash</span>, <span class="ident">PartialEq</span>, <span class="ident">PartialOrd</span>, <span class="ident">Ord</span>)]</span>
<span class="kw">pub</span> <span class="kw">struct</span> <span class="ident">HashablePt2D</span> {
    <span class="ident">x_nan</span>: <span class="ident">NotNan</span><span class="op">&lt;</span><span class="ident">f64</span><span class="op">&gt;</span>,
    <span class="ident">y_nan</span>: <span class="ident">NotNan</span><span class="op">&lt;</span><span class="ident">f64</span><span class="op">&gt;</span>,
}

<span class="kw">impl</span> <span class="ident">HashablePt2D</span> {
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">to_pt2d</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="ident">Pt2D</span> {
        <span class="ident">Pt2D</span>::<span class="ident">new</span>(<span class="self">self</span>.<span class="ident">x_nan</span>.<span class="ident">into_inner</span>(), <span class="self">self</span>.<span class="ident">y_nan</span>.<span class="ident">into_inner</span>())
    }
}
</pre></div>
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