74     auto t = 0.5f;  in _bezAt()  local
83         right.split(t, left);  in _bezAt()
89             smallest = t;  in _bezAt()
90             t = (t + biggest) * 0.5f;  in _bezAt()
92             biggest = t;  in _bezAt()
93             t = (smallest + t) * 0.5f;  in _bezAt()
96     return t;  in _bezAt()
272     auto t = right.at(at, right.length());  in split()  local
273     right.split(t, left);  in split()
289 void Bezier::split(float t, Bezier& left)  in split()  argument
293     left.ctrl1.x = start.x + t * (ctrl1.x - start.x);  in split()
294     left.ctrl1.y = start.y + t * (ctrl1.y - start.y);  in split()
296     left.ctrl2.x = ctrl1.x + t * (ctrl2.x - ctrl1.x); //temporary holding spot  in split()
297     left.ctrl2.y = ctrl1.y + t * (ctrl2.y - ctrl1.y); //temporary holding spot  in split()
299     ctrl2.x = ctrl2.x + t * (end.x - ctrl2.x);  in split()
300     ctrl2.y = ctrl2.y + t * (end.y - ctrl2.y);  in split()
302     ctrl1.x = left.ctrl2.x + t * (ctrl2.x - left.ctrl2.x);  in split()
303     ctrl1.y = left.ctrl2.y + t * (ctrl2.y - left.ctrl2.y);  in split()
305     left.ctrl2.x = left.ctrl1.x + t * (left.ctrl2.x - left.ctrl1.x);  in split()
306     left.ctrl2.y = left.ctrl1.y + t * (left.ctrl2.y - left.ctrl1.y);  in split()
308     left.end.x = start.x = left.ctrl2.x + t * (ctrl1.x - left.ctrl2.x);  in split()
309     left.end.y = start.y = left.ctrl2.y + t * (ctrl1.y - left.ctrl2.y);  in split()
325 Point Bezier::at(float t) const  in at()
328     auto it = 1.0f - t;  in at()
330     auto ax = start.x * it + ctrl1.x * t;  in at()
331     auto bx = ctrl1.x * it + ctrl2.x * t;  in at()
332     auto cx = ctrl2.x * it + end.x * t;  in at()
333     ax = ax * it + bx * t;  in at()
334     bx = bx * it + cx * t;  in at()
335     cur.x = ax * it + bx * t;  in at()
337     float ay = start.y * it + ctrl1.y * t;  in at()
338     float by = ctrl1.y * it + ctrl2.y * t;  in at()
339     float cy = ctrl2.y * it + end.y * t;  in at()
340     ay = ay * it + by * t;  in at()
341     by = by * it + cy * t;  in at()
342     cur.y = ay * it + by * t;  in at()
348 float Bezier::angle(float t) const  in angle()
350     if (t < 0 || t > 1) return 0;  in angle()
355     float mt = 1.0f - t;  in angle()
356     float d = t * t;  in angle()
358     float b = 1 - 4 * t + 3 * d;  in angle()
359     float c = 2 * t - 3 * d;  in angle()
369 uint8_t lerp(const uint8_t &start, const uint8_t &end, float t)  in lerp()  argument
371     auto result = static_cast<int>(start + (end - start) * t);  in lerp()