#include "BezierCurve.hpp" #include "../debug/Log.hpp" #include "../macros.hpp" #include #include 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: {})", 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 (int j = 1; j < 10; ++j) { float i = j / 10.0f; 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 {} points, mem usage: {:.2f}kB, time to bake: {:.2f}µs. Estimated average calc time: {:.2f}µs.", 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) { if (x >= 1.f) return 1.f; int index = 0; bool below = true; for (int step = (BAKEDPOINTS + 1) / 2; step > 0; step /= 2) { if (below) index += step; else index -= step; below = m_aPointsBaked[index].x < x; } int lowerIndex = index - (!below || index == BAKEDPOINTS - 1); // in the name of performance i shall make a hack const auto LOWERPOINT = &m_aPointsBaked[lowerIndex]; const auto UPPERPOINT = &m_aPointsBaked[lowerIndex + 1]; 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 - LOWERPOINT->y) * PERCINDELTA; }