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include(&quot;transformations/reproject.jl&quot;)
include(&quot;transformations/tuples.jl&quot;)

end</code></pre><hr/><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl">Literate.jl</a>.</em></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../">« Home</a><a class="docs-footer-nextpage" href="../primitives/">Primitive functions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Thursday 28 December 2023 22:32">Thursday 28 December 2023</span>. Using Julia version 1.10.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
end</code></pre><hr/><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl">Literate.jl</a>.</em></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../">« Home</a><a class="docs-footer-nextpage" href="../primitives/">Primitive functions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Tuesday 2 January 2024 11:08">Tuesday 2 January 2024</span>. Using Julia version 1.10.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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geoms,
) where T =
sum((area(geom, T) for geom in GI.getgeom(geoms)), init = zero(T))</code></pre><p>Helper function:</p><p>Calculates the signed area of a given curve. This is equivalent to integrating to find the area under the curve. Even if curve isn&#39;t explicitly closed by repeating the first point at the end of the coordinates, curve is still assumed to be closed.</p><pre><code class="language-julia hljs">function _signed_area(::Type{T}, geom) where T
area = zero(T)</code></pre><p>Close curve, even if last point isn&#39;t explicitly repeated</p><pre><code class="language-julia hljs"> np = GI.npoint(geom)
area = zero(T)
np = GI.npoint(geom)
np == 0 &amp;&amp; return area
first_last_equal = equals(GI.getpoint(geom, 1), GI.getpoint(geom, np))
np -= first_last_equal ? 1 : 0</code></pre><p>Integrate the area under the curve</p><pre><code class="language-julia hljs"> p1 = GI.getpoint(geom, np)
for i in 1:np
p2 = GI.getpoint(geom, i)</code></pre><p>Accumulate the area into <code>area</code></p><pre><code class="language-julia hljs"> area += GI.x(p1) * GI.y(p2) - GI.y(p1) * GI.x(p2)

first = true
local pfirst, p1</code></pre><p>Integrate the area under the curve</p><pre><code class="language-julia hljs"> for p2 in GI.getpoint(geom)</code></pre><p>Skip the first and do it later This lets us work within one iteration over geom, which means on C call when using points from external libraries.</p><pre><code class="language-julia hljs"> if first
p1 = pfirst = p2
first = false
continue
end</code></pre><p>Accumulate the area into <code>area</code></p><pre><code class="language-julia hljs"> area += GI.x(p1) * GI.y(p2) - GI.y(p1) * GI.x(p2)
p1 = p2
end
end</code></pre><p>Complete the last edge. If the first and last where the same this will be zero</p><pre><code class="language-julia hljs"> p2 = pfirst
area += GI.x(p1) * GI.y(p2) - GI.y(p1) * GI.x(p2)
return T(area / 2)
end</code></pre><hr/><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl">Literate.jl</a>.</em></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../utils/">« Utility functions</a><a class="docs-footer-nextpage" href="../barycentric/">Barycentric coordinates »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Thursday 28 December 2023 22:32">Thursday 28 December 2023</span>. Using Julia version 1.10.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
end</code></pre><hr/><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl">Literate.jl</a>.</em></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../utils/">« Utility functions</a><a class="docs-footer-nextpage" href="../barycentric/">Barycentric coordinates »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.24 on <span class="colophon-date" title="Tuesday 2 January 2024 11:08">Tuesday 2 January 2024</span>. Using Julia version 1.10.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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