]> rtime.felk.cvut.cz Git - hubacji1/bcar.git/blobdiff - src/bcar.cc
Merge branch 'free-leave-entries'
[hubacji1/bcar.git] / src / bcar.cc
index ef4191858bce5387526d6595e5b7ba165c4de36a..8234b6261b85b0b2ed14e44d906471dcd460ade3 100644 (file)
+/*
+ * SPDX-FileCopyrightText: 2021 Jiri Vlasak <jiri.vlasak.2@cvut.cz>
+ *
+ * SPDX-License-Identifier: GPL-3.0-only
+ */
+
 #include <cmath>
-#include "bcar.h"
+#include "bcar.hh"
+
+namespace bcar {
+
+Point::Point()
+{
+}
+
+Point::Point(double x, double y) : _x(x), _y(y)
+{
+}
+
+double
+Point::x() const
+{
+       return this->_x;
+}
+
+void
+Point::x(double x)
+{
+       this->_x = x;
+}
+
+double
+Point::y() const
+{
+       return this->_y;
+}
+
+void
+Point::y(double y)
+{
+       this->_y = y;
+}
+
+double
+Point::min_angle_between(Point const& p1, Point const& p2) const
+{
+       double d1x = p1.x() - this->x();
+       double d1y = p1.y() - this->y();
+       double d2x = p2.x() - p1.x();
+       double d2y = p2.y() - p1.y();
+
+       double dot = d1x*d2x + d1y*d2y;
+       double d1 = sqrt(d1x*d1x + d1y*d1y);
+       double d2 = sqrt(d2x*d2x + d2y*d2y);
+
+       double delta = acos(dot / (d1 * d2));
+       return std::min(delta, M_PI - delta);
+}
+
+bool
+Point::inside_of(std::vector<Point> const& poly) const
+{
+       unsigned int num = poly.size();
+       unsigned int j = num - 1;
+       bool c = false;
+       for (unsigned int i = 0; i < num; i++) {
+               if (this->x() == poly[i].x() && this->y() == poly[i].y()) {
+                       return true;
+               }
+               if ((poly[i].y() > this->y()) != (poly[j].y() > this->y())) {
+                       auto slope1 = this->x() - poly[i].x();
+                       slope1 *= poly[j].y() - poly[i].y();
+                       auto slope2 = poly[j].x() - poly[i].x();
+                       slope2 *= this->y() - poly[i].y();
+                       auto slope = slope1 - slope2;
+                       if (slope == 0.0) {
+                               return true;
+                       }
+                       if ((slope < 0.0) != (poly[j].y() < poly[i].y())) {
+                               c = !c;
+                       }
+               }
+               j = i;
+       }
+       return c;
+}
+
+bool
+Point::inside_of(Point const& c, double const r) const
+{
+       double dx = this->x() - c.x();
+       double dy = this->y() - c.y();
+       return pow(dx, 2.0) + pow(dy, 2.0) < pow(r, 2.0);
+}
+
+bool
+Point::on_right_side_of(Line const& li) const
+{
+       auto x1 = li.b().x();
+       auto y1 = li.b().y();
+       auto x2 = li.e().x();
+       auto y2 = li.e().y();
+       auto x3 = this->_x;
+       auto y3 = this->_y;
+       if (sgn((x3 - x1) * (y2 - y1) - (y3 - y1) * (x2 - x1)) < 0.0) {
+               return false;
+       } else {
+               return true;
+       }
+}
+
+void
+Point::translate(Point const& p)
+{
+       this->_x += p.x();
+       this->_y += p.y();
+}
+
+void
+Point::rotate(Point const& c, double const angl)
+{
+       double px = this->x();
+       double py = this->y();
+       px -= c.x();
+       py -= c.y();
+       double nx = px * cos(angl) - py * sin(angl);
+       double ny = px * sin(angl) + py * cos(angl);
+       this->x(nx + c.x());
+       this->y(ny + c.y());
+}
+
+void
+Point::reflect(Line const& li)
+{
+       this->rotate(li.b(), -li.h());
+       this->_y -= li.b().y();
+       this->_y *= -1.0;
+       this->_y += li.b().y();
+       this->rotate(li.b(), li.h());
+}
+
+double
+Point::edist(Point const& p) const
+{
+       return sqrt(pow(p.x() - this->_x, 2.0) + pow(p.y() - this->_y, 2.0));
+}
+
+void
+Point::gen_gnuplot_to(std::ostream& out)
+{
+       out << this->_x << " " << this->_y << std::endl;
+}
 
-// kinematic constraints
-bool BicycleCar::drivable(BicycleCar *bc)
+bool
+Point::operator==(Point const& p)
 {
-        if (
-                pow(this->ccl()->x() - bc->x(), 2)
-                + pow(this->ccl()->y() - bc->y(), 2)
-                <= pow(this->mtr(), 2)
-        )
-                return false;
-        if (
-                pow(this->ccr()->x() - bc->x(), 2)
-                + pow(this->ccr()->y() - bc->y(), 2)
-                <= pow(this->mtr(), 2)
-        )
-                return false;
-        return true;
+       return this->x() == p.x() && this->y() == p.y();
 }
 
-// car frame
-double BicycleCar::lfx()
+std::ostream&
+operator<<(std::ostream& out, Point const& p)
 {
-        double lfx = this->x();
-        lfx += (this->w() / 2) * cos(this->h() + M_PI / 2);
-        lfx += this->df() * cos(this->h());
-        lfx += this->sd() * cos(this->h());
-        return lfx;
+       out << "[" << p.x() << "," << p.y() << "]";
+       return out;
 }
 
-double BicycleCar::lfy()
+Line::Line(Point const& b, Point const& e): _b(b), _e(e)
 {
-        double lfy = this->y();
-        lfy += (this->w() / 2) * sin(this->h() + M_PI / 2);
-        lfy += this->df() * sin(this->h());
-        lfy += this->sd() * sin(this->h());
-        return lfy;
 }
 
-double BicycleCar::lrx()
+Point
+Line::b() const&
 {
-        double lrx = this->x();
-        lrx += (this->w() / 2) * cos(this->h() + M_PI / 2);
-        lrx += -this->dr() * cos(this->h());
-        lrx += -this->sd() * cos(this->h());
-        return lrx;
+       return this->_b;
 }
 
-double BicycleCar::lry()
+Point
+Line::e() const&
 {
-        double lry = this->y();
-        lry += (this->w() / 2) * sin(this->h() + M_PI / 2);
-        lry += -this->dr() * sin(this->h());
-        lry += -this->sd() * sin(this->h());
-        return lry;
+       return this->_e;
 }
 
-double BicycleCar::rrx()
+Point
+Line::m() const
 {
-        double rrx = this->x();
-        rrx += (this->w() / 2) * cos(this->h() - M_PI / 2);
-        rrx += -this->dr() * cos(this->h());
-        rrx += -this->sd() * cos(this->h());
-        return rrx;
+       return Point((this->_b.x() + this->_e.x()) / 2.0,
+               (this->_b.y() + this->_e.y()) / 2.0);
 }
 
-double BicycleCar::rry()
+Point
+Line::i1() const&
 {
-        double rry = this->y();
-        rry += (this->w() / 2) * sin(this->h() - M_PI / 2);
-        rry += -this->dr() * sin(this->h());
-        rry += -this->sd() * sin(this->h());
-        return rry;
+       return this->_i1;
 }
 
-double BicycleCar::rfx()
+Point
+Line::i2() const&
 {
-        double rfx = this->x();
-        rfx += (this->w() / 2) * cos(this->h() - M_PI / 2);
-        rfx += this->df() * cos(this->h());
-        rfx += this->sd() * cos(this->h());
-        return rfx;
+       return this->_i2;
 }
 
-double BicycleCar::rfy()
+bool
+Line::intersects_with(Line const& li)
 {
-        double rfy = this->y();
-        rfy += (this->w() / 2) * sin(this->h() - M_PI / 2);
-        rfy += this->df() * sin(this->h());
-        rfy += this->sd() * sin(this->h());
-        return rfy;
+       auto x1 = this->_b.x();
+       auto y1 = this->_b.y();
+       auto x2 = this->_e.x();
+       auto y2 = this->_e.y();
+       auto x3 = li.b().x();
+       auto y3 = li.b().y();
+       auto x4 = li.e().x();
+       auto y4 = li.e().y();
+       double deno = (x1 - x2) * (y3 - y4) - (y1 - y2) * (x3 - x4);
+       if (deno == 0.0) {
+               return false;
+       }
+       double t = (x1 - x3) * (y3 - y4) - (y1 - y3) * (x3 - x4);
+       t /= deno;
+       double u = (x1 - x2) * (y1 - y3) - (y1 - y2) * (x1 - x3);
+       u *= -1.0;
+       u /= deno;
+       if (t < 0.0 || t > 1.0 || u < 0.0 || u > 1.0) {
+               return false;
+       }
+       this->_i1.x(x1 + t * (x2 - x1));
+       this->_i1.y(y1 + t * (y2 - y1));
+       return true;
 }
 
-double BicycleCar::ralx()
+bool
+Line::intersects_with(Point const& c, double const r)
 {
-        double lrx = this->x();
-        lrx += (this->w() / 2) * cos(this->h() + M_PI / 2);
-        return lrx;
+       auto x1 = this->_b.x();
+       auto y1 = this->_b.y();
+       auto x2 = this->_e.x();
+       auto y2 = this->_e.y();
+       auto cx = c.x();
+       auto cy = c.y();
+       x2 -= cx;
+       x1 -= cx;
+       y2 -= cy;
+       y1 -= cy;
+       if (y1 == y2) {
+               y1 += 0.00001;
+       }
+       double dx = x2 - x1;
+       double dy = y2 - y1;
+       double dr = sqrt(dx*dx + dy*dy);
+       double D = x1*y2 - x2*y1;
+       if (r*r * dr*dr - D*D < 0.0) {
+               return false;
+       }
+       // intersection coordinates
+       double ix1 = (D*dy + sgn(dy)*dx*sqrt(r*r * dr*dr - D*D)) / (dr*dr);
+       ix1 += cx;
+       double ix2 = (D*dy - sgn(dy)*dx*sqrt(r*r * dr*dr - D*D)) / (dr*dr);
+       ix2 += cx;
+       double iy1 = (-D*dx + std::abs(dy)*sqrt(r*r * dr*dr - D*D)) / (dr*dr);
+       iy1 += cy;
+       double iy2 = (-D*dx - std::abs(dy)*sqrt(r*r * dr*dr - D*D)) / (dr*dr);
+       iy2 += cy;
+       this->_i1.x(ix1);
+       this->_i1.y(iy1);
+       this->_i2.x(ix2);
+       this->_i2.y(iy2);
+       return true;
 }
-double BicycleCar::raly()
+
+double
+Line::len() const
+{
+       return this->_b.edist(this->_e);
+}
+
+double
+Line::h() const
+{
+       return atan2(this->_e.y() - this->_b.y(), this->_e.x() - this->_b.x());
+}
+
+void
+Line::gen_gnuplot_to(std::ostream& out)
+{
+       this->b().gen_gnuplot_to(out);
+       this->e().gen_gnuplot_to(out);
+       out << std::endl;
+}
+
+std::ostream&
+operator<<(std::ostream& out, Line const& li)
+{
+       out << "[" << li._b << "," << li._e << "]";
+       return out;
+}
+
+Pose::Pose(double x, double y, double h) : Point(x, y), _h(h)
+{
+}
+
+double
+Pose::h() const
+{
+       return this->_h;
+}
+
+void
+Pose::h(double h)
+{
+       while (h < -M_PI) {
+               h += 2 * M_PI;
+       }
+       while (h > +M_PI) {
+               h -= 2 * M_PI;
+       }
+       this->_h = h;
+}
+
+void
+Pose::set_pose(Pose const& p)
+{
+       this->x(p.x());
+       this->y(p.y());
+       this->h(p.h());
+}
+
+void
+Pose::rotate(Point const& c, double const angl)
+{
+       Point::rotate(c, angl);
+       this->h(this->h() + angl);
+}
+
+void
+Pose::reflect(Line const& li)
+{
+       Point::reflect(li);
+       double dh = li.h() - this->h();
+       this->h(this->h() + 2.0 * dh);
+}
+
+bool
+Pose::operator==(Pose const& p)
+{
+       return this->x() == p.x() && this->y() == p.y() && this->h() == p.h();
+}
+
+std::ostream&
+operator<<(std::ostream& out, Pose const& p)
+{
+       out << "[" << p.x() << "," << p.y() << "," << p.h() << "]";
+       return out;
+}
+
+void
+PoseRange::set_xyh()
+{
+       double clen = 10.0;
+       double bpbx = this->_bp.x() - clen * cos(this->_bp.h());
+       double bpby = this->_bp.y() - clen * sin(this->_bp.h());
+       double bpfx = this->_bp.x() + clen * cos(this->_bp.h());
+       double bpfy = this->_bp.y() + clen * sin(this->_bp.h());
+       Line li1(Point(bpbx, bpby), Point(bpfx, bpfy));
+       double epbx = this->_ep.x() - clen * cos(this->_ep.h());
+       double epby = this->_ep.y() - clen * sin(this->_ep.h());
+       double epfx = this->_ep.x() + clen * cos(this->_ep.h());
+       double epfy = this->_ep.y() + clen * sin(this->_ep.h());
+       Line li2(Point(epbx, epby), Point(epfx, epfy));
+       li1.intersects_with(li2);
+       this->x(li1.i1().x());
+       this->y(li1.i1().y());
+       double bh = this->b();
+       while (bh < 0.0) {
+               bh += 2.0 * M_PI;
+       }
+       this->_bp.h(bh);
+       double eh = this->e();
+       while (eh < 0.0) {
+               eh += 2.0 * M_PI;
+       }
+       this->_ep.h(eh);
+       this->h((this->b() + this->e()) / 2.0);
+}
+
+PoseRange::PoseRange(Pose bp, Pose ep) : _bp(bp), _ep(ep)
+{
+       if (this->_bp == this->_ep) {
+               this->set_pose(this->_ep);
+       } else {
+               this->set_xyh();
+       }
+}
+
+PoseRange::PoseRange(double x, double y, double b, double e)
+               : PoseRange(Pose(x, y, b), Pose(x, y, e))
+{
+}
+
+Pose
+PoseRange::bp() const
+{
+       return this->_bp;
+}
+
+Pose
+PoseRange::ep() const
+{
+       return this->_ep;
+}
+
+double
+PoseRange::b() const
+{
+       return std::min(this->_bp.h(), this->_ep.h());
+}
+
+double
+PoseRange::e() const
+{
+       return std::max(this->_bp.h(), this->_ep.h());
+}
+
+void
+PoseRange::translate(Point const& p)
+{
+       this->_bp.translate(p);
+       this->_ep.translate(p);
+       this->set_xyh();
+}
+
+void
+PoseRange::rotate(Point const& c, double const angl)
+{
+       this->_bp.rotate(c, angl);
+       this->_ep.rotate(c, angl);
+       this->set_xyh();
+}
+
+void
+PoseRange::reflect(Line const& li)
+{
+       this->_bp.reflect(li);
+       this->_ep.reflect(li);
+       this->set_xyh();
+}
+
+std::ostream&
+operator<<(std::ostream& out, PoseRange const& p)
+{
+       out << "[" << p.x() << "," << p.y() << "," << p.b() << "," << p.e();
+       out << "]";
+       return out;
+}
+
+double
+CarSize::ctc() const
+{
+       return this->_curb_to_curb;
+}
+
+void
+CarSize::ctc(double ctc)
+{
+       this->_curb_to_curb = ctc;
+}
+
+double
+CarSize::wb() const
+{
+       return this->_wheelbase;
+}
+
+void
+CarSize::wb(double wb)
+{
+       this->_wheelbase = wb;
+}
+
+double
+CarSize::w() const
+{
+       return this->_width;
+}
+
+void
+CarSize::w(double w)
+{
+       this->_width = w;
+}
+
+double
+CarSize::wwm() const
+{
+       return this->_width_with_mirrors;
+}
+
+void
+CarSize::wwm(double w)
+{
+       this->_width_with_mirrors = w;
+}
+
+double
+CarSize::len() const
+{
+       return this->_length;
+}
+
+void
+CarSize::len(double len)
+{
+       this->_length = len;
+}
+
+double
+CarSize::df() const
+{
+       return this->_distance_to_front;
+}
+
+void
+CarSize::df(double df)
+{
+       this->_distance_to_front = df;
+}
+
+double
+CarSize::dr() const
 {
-        double lry = this->y();
-        lry += (this->w() / 2) * sin(this->h() + M_PI / 2);
-        return lry;
+       return this->len() - this->df();
 }
 
-double BicycleCar::rarx()
+void
+CarSize::ft(double ft)
 {
-        double rrx = this->x();
-        rrx += (this->w() / 2) * cos(this->h() - M_PI / 2);
-        return rrx;
+       this->_front_track = ft;
 }
 
-double BicycleCar::rary()
+double
+CarSize::ft() const
 {
-        double rry = this->y();
-        rry += (this->w() / 2) * sin(this->h() - M_PI / 2);
-        return rry;
+       return this->_front_track;
 }
 
-BicycleCar *BicycleCar::ccl()
+double
+CarSize::mtr() const
 {
-        BicycleCar *bc = new BicycleCar();
-        bc->x(this->x() + this->mtr() * cos(this->h() + M_PI / 2));
-        bc->y(this->y() + this->mtr() * sin(this->h() + M_PI / 2));
-        bc->h(this->h());
-        return bc;
+       auto ctc2 = pow(this->ctc() / 2.0, 2.0);
+       auto wb2 = pow(this->wb(), 2.0);
+       return sqrt(ctc2 - wb2) - this->ft() / 2.0;
 }
 
-BicycleCar *BicycleCar::ccr()
+double
+CarSize::iradi() const
 {
-        BicycleCar *bc = new BicycleCar();
-        bc->x(this->x() + this->mtr() * cos(this->h() - M_PI / 2));
-        bc->y(this->y() + this->mtr() * sin(this->h() - M_PI / 2));
-        bc->h(this->h());
-        return bc;
+       return this->mtr() - this->w() / 2;
 }
 
-// moving
-void BicycleCar::next()
+double
+CarSize::ofradi() const
 {
-        if (this->st() > this->wb() / this->mtr())
-                this->st(this->wb() / this->mtr());
-        if (this->st() < -this->wb() / this->mtr())
-                this->st(-this->wb() / this->mtr());
-        this->h(this->h() + this->sp() / this->wb() * tan(this->st()));
-        this->x(this->x() + this->sp() * cos(this->h()));
-        this->y(this->y() + this->sp() * sin(this->h()));
+       auto mtrw2 = pow(this->mtr() + this->w() / 2.0, 2.0);
+       auto df2 = pow(this->df(), 2.0);
+       return sqrt(mtrw2 + df2);
 }
 
-BicycleCar::BicycleCar()
+double
+CarSize::orradi() const
 {
+       auto mtrw2 = pow(this->mtr() + this->w() / 2.0, 2.0);
+       auto dr2 = pow(this->dr(), 2.0);
+       return sqrt(mtrw2 + dr2);
 }
+
+double
+CarSize::imradi() const
+{
+       auto mtrw2 = pow(this->mtr() - this->wwm() / 2.0, 2.0);
+       auto df2 = pow(this->wb(), 2.0);
+       return sqrt(mtrw2 + df2);
+}
+
+double
+CarSize::omradi() const
+{
+       auto mtrw2 = pow(this->mtr() + this->wwm() / 2.0, 2.0);
+       auto df2 = pow(this->wb(), 2.0);
+       return sqrt(mtrw2 + df2);
+}
+
+double
+CarSize::perfect_parking_slot_len() const
+{
+       auto r = this->ctc() / 2.0;
+       auto l = this->wb();
+       auto k = this->df() - this->wb();
+       auto w = this->w(); // FIXME use wwm()?
+       auto r2l2 = r * r - l * l;
+       auto s = r2l2 + pow(l + k, 2.0) - pow(sqrt(r2l2) - w, 2.0);
+       return this->len() + sqrt(s) - l - k;
+}
+
+double
+CarMove::sp() const
+{
+       return this->_speed;
+}
+
+void
+CarMove::sp(double sp)
+{
+       this->_speed = sp;
+}
+
+double
+CarMove::st() const
+{
+       return this->_steer;
+}
+
+void
+CarMove::st(double st)
+{
+       this->_steer = st;
+}
+
+bool
+BicycleCar::drivable(Pose const& p) const
+{
+       return this->drivable(PoseRange(p, p));
+}
+
+bool
+BicycleCar::drivable(PoseRange const& p) const
+{
+       double a_1 = atan2(p.y() - this->y(), p.x() - this->x()) - this->h();
+       while (a_1 < -M_PI)
+               a_1 += 2 * M_PI;
+       while (a_1 > +M_PI)
+               a_1 -= 2 * M_PI;
+       double h_d = p.h() - this->h();
+       while (h_d < -M_PI)
+               h_d += 2 * M_PI;
+       while (h_d > +M_PI)
+               h_d -= 2 * M_PI;
+       double a_2 = 0;
+       if (h_d == 0 && (a_1 == 0 || a_2 == M_PI || a_2 == -M_PI)) {
+               return true;
+       } else if (0 < a_1 && a_1 <= M_PI/2) { // left front
+               BicycleCar z(*this); // zone border
+               z.h(p.e());
+               h_d = p.h() - this->h();
+               z.rotate(this->ccl(), h_d);
+               // assert z.h() == p.h()
+               if (p.y() == z.y() && p.x() == z.x()) // p on zone border
+                       return true;
+               a_2 = atan2(p.y() - z.y(), p.x() - z.x());
+               while (a_2 < -M_PI)
+                       a_2 += 2 * M_PI;
+               while (a_2 > +M_PI)
+                       a_2 -= 2 * M_PI;
+               if (z.h() >= a_2 && a_2 >= this->h())
+                       return true;
+       } else if (M_PI/2 < a_1 && a_1 <= M_PI) { // left rear
+               BicycleCar z(*this); // zone border
+               z.h(p.e());
+               h_d = p.h() - this->h();
+               z.rotate(this->ccl(), h_d);
+               // assert z.h() == p.h()
+               if (p.y() == z.y() && p.x() == z.x()) // p on zone border
+                       return true;
+               a_2 = atan2(p.y() - z.y(), p.x() - z.x());
+               a_2 -= M_PI;
+               while (a_2 < -M_PI)
+                       a_2 += 2 * M_PI;
+               while (a_2 > +M_PI)
+                       a_2 -= 2 * M_PI;
+               if (this->h() >= a_2 && a_2 >= z.h())
+                       return true;
+       } else if (0 > a_1 && a_1 >= -M_PI/2) { // right front
+               BicycleCar z(*this); // zone border
+               z.h(p.b());
+               h_d = p.h() - this->h();
+               z.rotate(this->ccr(), h_d);
+               // assert z.h() == p.h()
+               if (p.y() == z.y() && p.x() == z.x()) // p on zone border
+                       return true;
+               a_2 = atan2(p.y() - z.y(), p.x() - z.x());
+               while (a_2 < -M_PI)
+                       a_2 += 2 * M_PI;
+               while (a_2 > +M_PI)
+                       a_2 -= 2 * M_PI;
+               if (this->h() >= a_2 && a_2 >= z.h())
+                       return true;
+       } else if (-M_PI/2 > a_1 && a_1 >= -M_PI) { // right rear
+               BicycleCar z(*this); // zone border
+               z.h(p.b());
+               h_d = p.h() - this->h();
+               z.rotate(this->ccr(), h_d);
+               // assert z.h() == p.h()
+               if (p.y() == z.y() && p.x() == z.x()) // p on zone border
+                       return true;
+               a_2 = atan2(p.y() - z.y(), p.x() - z.x());
+               a_2 -= M_PI;
+               while (a_2 < -M_PI)
+                       a_2 += 2 * M_PI;
+               while (a_2 > +M_PI)
+                       a_2 -= 2 * M_PI;
+               if (z.h() >= a_2 && a_2 >= this->h())
+                       return true;
+       } else {
+               // Not happenning, as ``-pi <= a <= pi``.
+       }
+       return false;
+}
+
+void
+BicycleCar::set_max_steer()
+{
+       this->st(atan(this->wb() / this->mtr()));
+}
+
+double
+BicycleCar::lfx() const
+{
+       double lfx = this->x();
+       lfx += (this->w() / 2.0) * cos(this->h() + M_PI / 2.0);
+       lfx += this->df() * cos(this->h());
+       return lfx;
+}
+
+double
+BicycleCar::lfy() const
+{
+       double lfy = this->y();
+       lfy += (this->w() / 2.0) * sin(this->h() + M_PI / 2.0);
+       lfy += this->df() * sin(this->h());
+       return lfy;
+}
+
+double
+BicycleCar::lrx() const
+{
+       double lrx = this->x();
+       lrx += (this->w() / 2.0) * cos(this->h() + M_PI / 2.0);
+       lrx += -this->dr() * cos(this->h());
+       return lrx;
+}
+
+double
+BicycleCar::lry() const
+{
+       double lry = this->y();
+       lry += (this->w() / 2.0) * sin(this->h() + M_PI / 2.0);
+       lry += -this->dr() * sin(this->h());
+       return lry;
+}
+
+double
+BicycleCar::rrx() const
+{
+       double rrx = this->x();
+       rrx += (this->w() / 2.0) * cos(this->h() - M_PI / 2.0);
+       rrx += -this->dr() * cos(this->h());
+       return rrx;
+}
+
+double
+BicycleCar::rry() const
+{
+       double rry = this->y();
+       rry += (this->w() / 2.0) * sin(this->h() - M_PI / 2.0);
+       rry += -this->dr() * sin(this->h());
+       return rry;
+}
+
+double
+BicycleCar::rfx() const
+{
+       double rfx = this->x();
+       rfx += (this->w() / 2.0) * cos(this->h() - M_PI / 2.0);
+       rfx += this->df() * cos(this->h());
+       return rfx;
+}
+
+double
+BicycleCar::rfy() const
+{
+       double rfy = this->y();
+       rfy += (this->w() / 2.0) * sin(this->h() - M_PI / 2.0);
+       rfy += this->df() * sin(this->h());
+       return rfy;
+}
+
+Point
+BicycleCar::lf() const
+{
+       return Point(this->lfx(), this->lfy());
+}
+
+Point
+BicycleCar::lr() const
+{
+       return Point(this->lrx(), this->lry());
+}
+
+Point
+BicycleCar::rr() const
+{
+       return Point(this->rrx(), this->rry());
+}
+
+Point
+BicycleCar::rf() const
+{
+       return Point(this->rfx(), this->rfy());
+}
+
+Line
+BicycleCar::left() const
+{
+       return Line(this->lr(), this->lf());
+}
+
+Line
+BicycleCar::rear() const
+{
+       return Line(this->lr(), this->rr());
+}
+
+Line
+BicycleCar::right() const
+{
+       return Line(this->rr(), this->rf());
+}
+
+Line
+BicycleCar::front() const
+{
+       return Line(this->rf(), this->lf());
+}
+
+double
+BicycleCar::lrax() const
+{
+       double lrx = this->x();
+       lrx += (this->w() / 2.0) * cos(this->h() + M_PI / 2.0);
+       return lrx;
+}
+double
+BicycleCar::lray() const
+{
+       double lry = this->y();
+       lry += (this->w() / 2.0) * sin(this->h() + M_PI / 2.0);
+       return lry;
+}
+
+double
+BicycleCar::rrax() const
+{
+       double rrx = this->x();
+       rrx += (this->w() / 2.0) * cos(this->h() - M_PI / 2.0);
+       return rrx;
+}
+
+double
+BicycleCar::rray() const
+{
+       double rry = this->y();
+       rry += (this->w() / 2.0) * sin(this->h() - M_PI / 2.0);
+       return rry;
+}
+
+Point
+BicycleCar::lra() const
+{
+       return Point(this->lrax(), this->lray());
+}
+
+Point
+BicycleCar::rra() const
+{
+       return Point(this->rrax(), this->rray());
+}
+
+double
+BicycleCar::lfax() const
+{
+       return this->lrax() + this->wb() * cos(this->h());
+}
+
+double
+BicycleCar::lfay() const
+{
+       return this->lray() + this->wb() * sin(this->h());
+}
+
+double
+BicycleCar::rfax() const
+{
+       return this->rrax() + this->wb() * cos(this->h());
+}
+
+double
+BicycleCar::rfay() const
+{
+       return this->rray() + this->wb() * sin(this->h());
+}
+
+Point
+BicycleCar::lfa() const
+{
+       return Point(this->lfax(), this->lfay());
+}
+
+Point
+BicycleCar::rfa() const
+{
+       return Point(this->rfax(), this->rfay());
+}
+
+double
+BicycleCar::lfmx() const
+{
+       double x = this->x();
+       x += (this->wwm() / 2.0) * cos(this->h() + M_PI / 2.0);
+       x += this->wb() * cos(this->h());
+       return x;
+}
+
+double
+BicycleCar::lfmy() const
+{
+       double y = this->y();
+       y += (this->wwm() / 2.0) * sin(this->h() + M_PI / 2.0);
+       y += this->wb() * sin(this->h());
+       return y;
+}
+
+double
+BicycleCar::rfmx() const
+{
+       double x = this->x();
+       x += (this->wwm() / 2.0) * cos(this->h() - M_PI / 2.0);
+       x += this->wb() * cos(this->h());
+       return x;
+}
+
+double
+BicycleCar::rfmy() const
+{
+       double y = this->y();
+       y += (this->wwm() / 2.0) * sin(this->h() - M_PI / 2.0);
+       y += this->wb() * sin(this->h());
+       return y;
+}
+
+Point
+BicycleCar::lfm() const
+{
+       return Point(this->lfmx(), this->lfmy());
+}
+
+Point
+BicycleCar::rfm() const
+{
+       return Point(this->rfmx(), this->rfmy());
+}
+
+double
+BicycleCar::cfx() const
+{
+       return this->x() + this->df() * cos(this->h());
+}
+
+double
+BicycleCar::cfy() const
+{
+       return this->y() + this->df() * sin(this->h());
+}
+
+Point
+BicycleCar::cf() const
+{
+       return Point(this->cfx(), this->cfy());
+}
+
+Point
+BicycleCar::ccl() const
+{
+       return Point(
+               this->x() + this->mtr() * cos(this->h() + M_PI / 2.0),
+               this->y() + this->mtr() * sin(this->h() + M_PI / 2.0)
+       );
+}
+
+Point
+BicycleCar::ccr() const
+{
+       return Point(
+               this->x() + this->mtr() * cos(this->h() - M_PI / 2.0),
+               this->y() + this->mtr() * sin(this->h() - M_PI / 2.0)
+       );
+}
+
+void
+BicycleCar::next()
+{
+       this->x(this->x() + this->sp() * cos(this->h()));
+       this->y(this->y() + this->sp() * sin(this->h()));
+       this->h(this->h() + this->sp() / this->wb() * tan(this->st()));
+}
+
+void
+BicycleCar::gen_gnuplot_to(std::ostream& out, GenPlotOpts opts)
+{
+       if (opts.ALL) {
+               opts.CAR = true;
+               opts.MIRRORS = true;
+       }
+       if (opts.MIRRORS) {
+               opts.LEFT_MIRROR = true;
+               opts.RIGHT_MIRROR = true;
+       }
+       if (opts.CAR) {
+               opts.FRAME = true;
+               opts.CROSS = true;
+               opts.ARROW = true;
+       }
+       if (opts.FRAME) {
+               opts.LEFT = true;
+               opts.RIGHT = true;
+               opts.REAR = true;
+               opts.FRONT = true;
+       }
+       if (opts.LF_POINT) {
+               this->lf().gen_gnuplot_to(out);
+       }
+       if (opts.LR_POINT) {
+               this->lr().gen_gnuplot_to(out);
+       }
+       if (opts.RR_POINT) {
+               this->rr().gen_gnuplot_to(out);
+       }
+       if (opts.RF_POINT) {
+               this->rf().gen_gnuplot_to(out);
+       }
+       if (opts.LFM_POINT) {
+               this->lfm().gen_gnuplot_to(out);
+       }
+       if (opts.RFM_POINT) {
+               this->rfm().gen_gnuplot_to(out);
+       }
+       if (opts.CRA_POINT || opts.CAR_POINT) {
+               Point::gen_gnuplot_to(out);
+       }
+       if (opts.LRA_POINT) {
+               this->lra().gen_gnuplot_to(out);
+       }
+       if (opts.RRA_POINT) {
+               this->rra().gen_gnuplot_to(out);
+       }
+       if (opts.LEFT) {
+               this->lf().gen_gnuplot_to(out);
+               this->lr().gen_gnuplot_to(out);
+               out << std::endl;
+       }
+       if (opts.RIGHT) {
+               this->rf().gen_gnuplot_to(out);
+               this->rr().gen_gnuplot_to(out);
+               out << std::endl;
+       }
+       if (opts.REAR) {
+               this->lr().gen_gnuplot_to(out);
+               this->rr().gen_gnuplot_to(out);
+               out << std::endl;
+       }
+       if (opts.FRONT) {
+               this->lf().gen_gnuplot_to(out);
+               this->rf().gen_gnuplot_to(out);
+               out << std::endl;
+       }
+       if (opts.ARROW) {
+               this->cf().gen_gnuplot_to(out);
+               this->lfa().gen_gnuplot_to(out);
+               this->rfa().gen_gnuplot_to(out);
+               this->cf().gen_gnuplot_to(out);
+               out << std::endl;
+       }
+       if (opts.CROSS) {
+               double lx = this->x() + 0.2 * cos(this->h() + M_PI/2);
+               double rx = this->x() - 0.2 * cos(this->h() + M_PI/2);
+               double fx = this->x() + 0.2 * cos(this->h());
+               double bx = this->x() - 0.2 * cos(this->h()); // rear is back
+               double ly = this->y() + 0.2 * sin(this->h() + M_PI/2);
+               double ry = this->y() - 0.2 * sin(this->h() + M_PI/2);
+               double fy = this->y() + 0.2 * sin(this->h());
+               double by = this->y() - 0.2 * sin(this->h()); // rear is back
+               out << lx << " " << ly << std::endl;
+               out << rx << " " << ry << std::endl;
+               out << std::endl;
+               out << fx << " " << fy << std::endl;
+               out << bx << " " << by << std::endl;
+               out << std::endl;
+       }
+       if (opts.LEFT_MIRROR) {
+               this->lf().gen_gnuplot_to(out);
+               this->lfm().gen_gnuplot_to(out);
+               this->lr().gen_gnuplot_to(out);
+               out << std::endl;
+
+       }
+       if (opts.RIGHT_MIRROR) {
+               this->rf().gen_gnuplot_to(out);
+               this->rfm().gen_gnuplot_to(out);
+               this->rr().gen_gnuplot_to(out);
+               out << std::endl;
+       }
+}
+
+} // namespace bcar