#include "BezierCurve.hpp" void CBezierCurve::setup(std::vector* pVec) { m_dPoints.clear(); const auto BEGIN = std::chrono::high_resolution_clock::now(); m_dPoints.emplace_back(Vector2D(0,0)); for (auto& p : *pVec) { m_dPoints.push_back(p); } m_dPoints.emplace_back(Vector2D(1,1)); RASSERT(m_dPoints.size() == 4, "CBezierCurve only supports cubic beziers! (points num: %i)", m_dPoints.size()); // bake BAKEDPOINTS points for faster lookups // T -> X ( / BAKEDPOINTS ) for (int i = 0; i < BAKEDPOINTS; ++i) { m_aPointsBaked[i] = Vector2D(getXForT((i + 1) / (float)BAKEDPOINTS), getYForT((i + 1) / (float)BAKEDPOINTS)); } const auto ELAPSEDUS = std::chrono::duration_cast(std::chrono::high_resolution_clock::now() - BEGIN).count() / 1000.f; const auto POINTSSIZE = m_aPointsBaked.size() * sizeof(m_aPointsBaked[0]) / 1000.f; const auto BEGINCALC = std::chrono::high_resolution_clock::now(); for (float i = 0.1f; i < 1.f; i += 0.1f) getYForPoint(i); const auto ELAPSEDCALCAVG = std::chrono::duration_cast(std::chrono::high_resolution_clock::now() - BEGINCALC).count() / 1000.f / 10.f; Debug::log(LOG, "Created a bezier curve, baked %i points, mem usage: %.2fkB, time to bake: %.2fµs. Estimated average calc time: %.2fµs.", BAKEDPOINTS, POINTSSIZE, ELAPSEDUS, ELAPSEDCALCAVG); } float CBezierCurve::getYForT(float t) { return 3 * t * pow(1 - t, 2) * m_dPoints[1].y + 3 * pow(t, 2) * (1 - t) * m_dPoints[2].y + pow(t, 3); } float CBezierCurve::getXForT(float t) { return 3 * t * pow(1 - t, 2) * m_dPoints[1].x + 3 * pow(t, 2) * (1 - t) * m_dPoints[2].x + pow(t, 3); } // Todo: this probably can be done better and faster float CBezierCurve::getYForPoint(float x) { // binary search for the range UPDOWN X float upperT = 1; float lowerT = 0; float mid = 0.5; while(std::abs(upperT - lowerT) > INVBAKEDPOINTS) { if (m_aPointsBaked[((int)(mid * (float)BAKEDPOINTS))].x > x) { upperT = mid; } else { lowerT = mid; } mid = (upperT + lowerT) / 2.f; } // in the name of performance i shall make a hack const auto LOWERPOINT = &m_aPointsBaked[(int)((float)BAKEDPOINTS * lowerT)]; const auto UPPERPOINT = &m_aPointsBaked[(int)((float)BAKEDPOINTS * upperT)]; const auto PERCINDELTA = (x - LOWERPOINT->x) / (UPPERPOINT->x - LOWERPOINT->x); if (std::isnan(PERCINDELTA) || std::isinf(PERCINDELTA)) // can sometimes happen for VERY small x return 0.f; return LOWERPOINT->y + (UPPERPOINT->y - UPPERPOINT->y) * PERCINDELTA; }