compute()

vec2f fl::PhyllotaxisPath::compute ( float alpha )

overridevirtual

Implements fl::XYPathGenerator.

Definition at line 140 of file xypath_impls.cpp.hpp.

                                                       {
    // total number of points you want in the pattern
    const float N = static_cast<float>(params().c);
 
    // continuous “index” from 0…N
    float n = alpha * N;
 
    // use the golden angle in radians:
    //    π * (3 – √5) ≈ 2.399963229728653
    constexpr float goldenAngle = FL_PI * (3.0f - 1.6180339887498948f);
 
    // normalized radius [0…1]: sqrt(n/N) gives uniform point density
    float r = sqrtf(n / N);
 
    // spiral angle
    float theta = n * goldenAngle;
 
    // polar → Cartesian
    float x = r * cosf(theta);
    float y = r * sinf(theta);
 
    return vec2f{x, y};
}

References fl::cosf(), fl::FL_NO_EXCEPT, FL_PI, params(), fl::sinf(), fl::sqrtf(), fl::x, and fl::y.

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