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
typedef struct {
double x, y;
} vector2d;
typedef struct {
double x, y, z;
} vector3d;
typedef struct {
double x, y, z, w;
} vector4d;
typedef struct {
vector4d col0, col1, col2, col3;
} matrix4d;