interpolate()

vec2f fl::CatmullRomPath::interpolate ( const vec2f & p0, const vec2f & p1, const vec2f & p2, const vec2f & p3, float t ) const

private

Definition at line 336 of file xypath_impls.cpp.hpp.

                                                              {
 
    // Catmull-Rom interpolation formula
    // Using alpha=0.5 for the "tension" parameter (standard Catmull-Rom)
    float t2 = t * t;
    float t3 = t2 * t;
 
    // Coefficients for x and y
    float a = -0.5f * p0.x + 1.5f * p1.x - 1.5f * p2.x + 0.5f * p3.x;
    float b = p0.x - 2.5f * p1.x + 2.0f * p2.x - 0.5f * p3.x;
    float c = -0.5f * p0.x + 0.5f * p2.x;
    float d = p1.x;
 
    float x = a * t3 + b * t2 + c * t + d;
 
    a = -0.5f * p0.y + 1.5f * p1.y - 1.5f * p2.y + 0.5f * p3.y;
    b = p0.y - 2.5f * p1.y + 2.0f * p2.y - 0.5f * p3.y;
    c = -0.5f * p0.y + 0.5f * p2.y;
    d = p1.y;
 
    float y = a * t3 + b * t2 + c * t + d;
 
    return vec2f(x, y);
}

References fl::FL_NO_EXCEPT, fl::t, fl::x, and fl::y.

Referenced by compute().

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