extract explicit mesh with topology information from implicit surfaces with boolean operations, and do surface/volume integrating on them.
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#pragma once
// forward declaration
struct Arrangement2D;
struct Arrangement3D;
template <size_t N>
struct IAComplex;
Arrangement2D extract_arrangement(IAComplex<2>&& ia_complex);
Arrangement3D extract_arrangement(IAComplex<3>&& ia_complex);