compute()

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

overridevirtual

Implements fl::XYPathGenerator.

Definition at line 85 of file xypath_impls.cpp.

                                                {
    // Parametric equation for an Archimedean spiral
    // α in [0,1] → (x,y) on the spiral curve
 
    // Calculate the angle based on the number of turns
    float theta = alpha * 2.0f * PI * mTurns;
 
    // Calculate the radius at this angle (grows linearly with angle)
    // Scale by alpha to ensure we start at center and grow outward
    float r = alpha * mRadius;
 
    // Convert polar coordinates (r, theta) to Cartesian (x, y)
    float x = r * cosf(theta);
    float y = r * sinf(theta);
 
    // Ensure the spiral fits within [-1, 1] range
    // No additional scaling needed as we control the radius directly
 
    return vec2f(x, y);
}

References mRadius, mTurns, PI, x, and y.