/* Copyright (c) 2012-2016, Stanislaw Halik * Permission to use, copy, modify, and/or distribute this * software for any purpose with or without fee is hereby granted, * provided that the above copyright notice and this permission * notice appear in all copies. */ #include "spline.hpp" #include #include #include #include #include #include #include #include #include #include constexpr int spline::value_count; spline::spline(qreal maxx, qreal maxy, const QString& name) : s(nullptr), data(value_count, -1.f), _mutex(QMutex::Recursive), max_x(maxx), max_y(maxy), activep(false), validp(false) { set_bundle(options::make_bundle(name)); } spline::~spline() { QMutexLocker l(&_mutex); if (connection) { QObject::disconnect(connection); connection = QMetaObject::Connection(); } } spline::spline() : spline(0, 0, "") {} void spline::set_tracking_active(bool value) { activep = value; } bundle spline::get_bundle() { return s->b; } void spline::clear() { QMutexLocker l(&_mutex); s->points = points_t(); validp = false; } void spline::set_max_input(qreal max_input) { QMutexLocker l(&_mutex); max_x = max_input; recompute(); } void spline::set_max_output(qreal max_output) { QMutexLocker l(&_mutex); max_y = max_output; recompute(); } qreal spline::max_input() const { QMutexLocker l(&_mutex); return max_x; } qreal spline::max_output() const { QMutexLocker l(&_mutex); return max_y; } float spline::get_value(double x) { QMutexLocker foo(&_mutex); const float ret = get_value_no_save(x); last_input_value.setX(std::fabs(x)); last_input_value.setY(double(std::fabs(ret))); return ret; } float spline::get_value_no_save(double x) const { return const_cast(*this).get_value_no_save_internal(x); } float spline::get_value_no_save_internal(double x) { QMutexLocker foo(&_mutex); if (max_x > 0) x = std::fmin(max_x, x); float q = float(x * precision(s->points)); int xi = (int)q; float yi = get_value_internal(xi); float yiplus1 = get_value_internal(xi+1); float f = (q-xi); float ret = yiplus1 * f + yi * (1.0f - f); // at least do a linear interpolation. return ret; } DEFUN_WARN_UNUSED bool spline::get_last_value(QPointF& point) { QMutexLocker foo(&_mutex); point = last_input_value; return activep; } float spline::get_value_internal(int x) { if (!validp) { update_interp_data(); validp = true; } float sign = x < 0 ? -1 : 1; x = std::abs(x); float ret; ret = data[std::min(unsigned(x), unsigned(value_count)-1u)]; return ret * sign; } void spline::add_lone_point() { points_t points; points.push_back(QPointF(max_x, max_y)); s->points = points; } QPointF spline::ensure_in_bounds(const QList& points, double max_x, int i) { const int sz = element_count(points, max_x); if (i < 0 || sz == 0) return QPointF(0, 0); if (i < sz) return points[i]; return points[sz - 1]; } int spline::element_count(const QList& points, double max_x) { if (!(max_x > 0)) return points.size(); else { const unsigned sz = points.size(); for (unsigned i = 0; i < sz; i++) { if (!(points[i].x() <= max_x)) return i; } return points.size(); } } bool spline::sort_fn(const QPointF& one, const QPointF& two) { return one.x() <= two.x(); } void spline::update_interp_data() { points_t points = s->points; int sz = element_count(points, max_x); if (sz == 0) points.prepend(QPointF(max_x, max_y)); std::stable_sort(points.begin(), points.begin() + sz, sort_fn); const double mult = precision(points); const double mult_ = mult * 30; for (unsigned i = 0; i < value_count; i++) data[i] = -1; if (sz < 2) { if (points[0].x() - 1e-2 <= max_x) { const double x = points[0].x(); const double y = points[0].y(); const int max = clamp(int(x * precision(points)), 1, value_count-1); for (int k = 0; k <= max; k++) { if (k < value_count) data[unsigned(k)] = float(y * k / max); } } } else { if (points[0].x() > 1e-2 && points[0].x() <= max_x) points.push_front(QPointF(0, 0)); for (int i = 0; i < sz; i++) { const QPointF p0 = ensure_in_bounds(points, max_x, i - 1); const QPointF p1 = ensure_in_bounds(points, max_x, i + 0); const QPointF p2 = ensure_in_bounds(points, max_x, i + 1); const QPointF p3 = ensure_in_bounds(points, max_x, i + 2); const double p0_x = p0.x(), p1_x = p1.x(), p2_x = p2.x(), p3_x = p3.x(); const double p0_y = p0.y(), p1_y = p1.y(), p2_y = p2.y(), p3_y = p3.y(); const double cx[4] = { 2 * p1_x, // 1 -p0_x + p2_x, // t 2 * p0_x - 5 * p1_x + 4 * p2_x - p3_x, // t^2 -p0_x + 3 * p1_x - 3 * p2_x + p3_x, // t3 }; const double cy[4] = { 2 * p1_y, // 1 -p0_y + p2_y, // t 2 * p0_y - 5 * p1_y + 4 * p2_y - p3_y, // t^2 -p0_y + 3 * p1_y - 3 * p2_y + p3_y, // t3 }; // multiplier helps fill in all the x's needed const unsigned end = std::min(unsigned(value_count), unsigned(p2_x * mult_)); const unsigned start = std::max(0u, unsigned(p1_x * mult)); for (unsigned j = start; j < end; j++) { const double t = (j - start) / (double) (end - start); const double t2 = t*t; const double t3 = t*t*t; const int x = iround(.5 * mult * (cx[0] + cx[1] * t + cx[2] * t2 + cx[3] * t3)); const float y = float(.5 * (cy[0] + cy[1] * t + cy[2] * t2 + cy[3] * t3)); if (x >= 0 && x < value_count) data[unsigned(x)] = y; } } } float last = 0; for (unsigned i = 0; i < unsigned(value_count); i++) { if (data[i] < 0) data[i] = last; last = data[i]; } } void spline::remove_point(int i) { QMutexLocker foo(&_mutex); points_t points = s->points; const int sz = element_count(points, max_x); if (i >= 0 && i < sz) { points.erase(points.begin() + i); s->points = points; validp = false; } } void spline::add_point(QPointF pt) { QMutexLocker foo(&_mutex); points_t points = s->points; points.push_back(pt); std::stable_sort(points.begin(), points.end(), sort_fn); s->points = points; validp = false; } void spline::add_point(double x, double y) { add_point(QPointF(x, y)); } void spline::move_point(int idx, QPointF pt) { QMutexLocker foo(&_mutex); points_t points = s->points; const int sz = element_count(points, max_x); if (idx >= 0 && idx < sz) { points[idx] = pt; // we don't allow points to be reordered, but sort due to possible caller logic error //std::stable_sort(points.begin(), points.end(), sort_fn); s->points = points; validp = false; } } QList spline::get_points() const { QMutexLocker foo(&_mutex); return s->points; } int spline::get_point_count() const { QMutexLocker foo(&_mutex); return element_count(s->points, max_x);; } void spline::reload() { QMutexLocker foo(&_mutex); s->b->reload(); } void spline::save() { QMutexLocker foo(&_mutex); s->b->save(); } void spline::set_bundle(bundle b) { QMutexLocker l(&_mutex); // gets called from ctor hence the need for nullptr checks // the sentinel settings/bundle objects don't need any further branching once created if (!s || s->b != b) { s = std::make_shared(b); if (connection) QObject::disconnect(connection); if (b) { connection = QObject::connect(b.get(), &bundle_::changed, s.get(), [&]() { // we're holding the mutex to allow signal disconnection in spline dtor // before this slot gets called for the next time // spline isn't a QObject and the connection context is incorrect QMutexLocker l(&_mutex); recompute(); emit s->recomputed(); }, Qt::QueuedConnection); } recompute(); emit s->recomputed(); } } void spline::recompute() { QMutexLocker foo(&_mutex); QList list = s->points; // storing to s->points fires bundle::changed and that leads to an infinite loop // only store if we can't help it std::stable_sort(list.begin(), list.end(), sort_fn); if (list != s->points) s->points = list; const int sz = list.size(); QList ret_list; ret_list.reserve(sz); for (int i = 0; i < sz; i++) { QPointF& pt(list[i]); const bool overlap = progn( for (int j = 0; j < i; j++) { QPointF& pt2(list[j]); const double dist_sq = (pt.x() - pt2.x())*(pt.x() - pt2.x()); static constexpr double overlap = .6; if (dist_sq < overlap * overlap) return true; } return false; ); if (!overlap) ret_list.push_back(pt); } if (ret_list != s->points) s->points = ret_list; last_input_value = QPointF(0, 0); activep = false; validp = false; } // the return value is only safe to use with no spline::set_bundle calls mem spline::get_settings() { QMutexLocker foo(&_mutex); return s; } mem spline::get_settings() const { QMutexLocker foo(&_mutex); return s; } double spline::precision(const QList& points) const { // this adjusts the memoized range to the largest X value. empty space doesn't take value_count discrete points. const int sz = element_count(points, max_x); if (sz) return clamp(value_count / clamp(points[sz - 1].x(), 1., max_x), 0., double(value_count)); return value_count / clamp(max_x, 1., double(value_count)); } namespace spline_detail { settings::settings(bundle b): b(b ? b : make_bundle("")), points(b, "points", QList()) {} settings::~settings() { } }