signed_area()

float MayaFlux::Kinesis::signed_area ( std::span< const glm::vec2 >  path )

inlinenoexcept

Signed area enclosed by treating the path as a closed polygon.

Parameters

path	Positions in chronological order, at least three

Returns

Shoelace area, positive for counterclockwise winding

Implicitly closes the path from its last point back to its first. Distinct from signed_turning as a direction measure: turning responds to the sequence of headings and stays large for a tight scribble that encloses nothing, while this responds to enclosure and stays near zero for a path that doubles back over itself regardless of how much it turned doing so.

Definition at line 139 of file PathShape.hpp.

{
    if (path.size() < 3)
        return 0.0F;
 
    float acc = 0.0F;
    for (size_t i = 0; i < path.size(); ++i) {
        const glm::vec2& a = path[i];
        const glm::vec2& b = path[(i + 1) % path.size()];
        acc += cross_2d(a, b);
    }
    return 0.5F * acc;
}

References a, b, and cross_2d().

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