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4 changed files with 137 additions and 158 deletions

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@ -4,7 +4,6 @@
#include <thread> #include <thread>
#include "Display.h" #include "Display.h"
//#include "Line.h"
#include "Point.h" #include "Point.h"
#include "Utility.h" #include "Utility.h"
@ -26,17 +25,14 @@ Display::Display (const std::vector<Point> &pts, int stepSize) : m_stepSize(step
{ {
const Point& pt = pts[i]; const Point& pt = pts[i];
sf::CircleShape shape(OFFSET); sf::CircleShape shape(OFFSET);
//shape.setPosition(pt.x() - OFFSET, pt.y() - OFFSET); // handle with origin or manually calc position
shape.setOrigin(OFFSET, OFFSET); shape.setOrigin(OFFSET, OFFSET);
shape.setPosition(pt.x(), pt.y()); shape.setPosition(pt.x(), pt.y());
shape.setFillColor(sf::Color::Green); shape.setFillColor(sf::Color::Green);
shape.setOutlineThickness(1.f); shape.setOutlineThickness(1.f);
shape.setOutlineColor(sf::Color::Black); shape.setOutlineColor(sf::Color::Black);
m_points.push_back(shape); m_points.push_back(shape);
//m_points.append(shape);
sf::Text label; sf::Text label;
//label.setPosition(pt.x() - OFFSET / 2, pt.y() - OFFSET / 2 - 3);
label.setOrigin(OFFSET / 2 - 1, OFFSET / 2 + 3); label.setOrigin(OFFSET / 2 - 1, OFFSET / 2 + 3);
label.setPosition(pt.x(), pt.y()); label.setPosition(pt.x(), pt.y());
label.setFont(m_font); label.setFont(m_font);
@ -44,7 +40,6 @@ Display::Display (const std::vector<Point> &pts, int stepSize) : m_stepSize(step
label.setCharacterSize(12); label.setCharacterSize(12);
label.setFillColor(sf::Color::Black); label.setFillColor(sf::Color::Black);
m_labels.push_back(label); m_labels.push_back(label);
//m_points.append(label);
} }
} }
@ -109,6 +104,11 @@ void Display::update ()
// https://en.wikipedia.org/wiki/Convex_hull_algorithms#Akl%E2%80%93Toussaint_heuristic // https://en.wikipedia.org/wiki/Convex_hull_algorithms#Akl%E2%80%93Toussaint_heuristic
unsigned int curStep = (m_step > 5) ? ((m_step - 2) % 4 + 2) : (m_step % 6); // skip init and first step after first run unsigned int curStep = (m_step > 5) ? ((m_step - 2) % 4 + 2) : (m_step % 6); // skip init and first step after first run
if (m_stepSize == 0 && curStep > 0)
{
std::cout << "any key to continue with next step...";
std::cin.get();
}
std::string text = "(" + std::to_string(m_step) + ") step " + std::to_string(curStep) + ": "; std::string text = "(" + std::to_string(m_step) + ") step " + std::to_string(curStep) + ": ";
if (curStep == 1) if (curStep == 1)
@ -116,15 +116,6 @@ void Display::update ()
// first step: select min - max x coordinates // first step: select min - max x coordinates
m_textStatus.setString(text + "select min - max x coordinates..."); m_textStatus.setString(text + "select min - max x coordinates...");
/* EDIT: manual iteration for combining x and x minmax; also need not previous sorting
std::pair<Point, Point> minmax = getMinMaxX(m_points);
std::cout << "min: " << minmax.first.x() << ", " << minmax.first.y() <<
", max: " << minmax.second.x() << ", " << minmax.second.y() << std::endl;
m_hull.setPrimitiveType(sf::Lines);
m_hull.append(sf::Vertex(sf::Vector2f(minmax.first.x(), minmax.first.y()), sf::Color::Blue));
m_hull.append(sf::Vertex(sf::Vector2f(minmax.second.x(), minmax.second.y()), sf::Color::Blue));*/
// if use AklToussaint heuristic // if use AklToussaint heuristic
bool useAkl = false; bool useAkl = false;
if (useAkl) if (useAkl)
@ -146,16 +137,6 @@ void Display::update ()
if (x > botRight.x && y > botRight.y) botRight = pos; if (x > botRight.x && y > botRight.y) botRight = pos;
} }
/* TODO: use a convex shape? Or build from vertices in render?
sf::ConvexShape convex;
convex.setPointCount(4);
convex.setPoint(0, topLeft);
convex.setPoint(1, topRight);
convex.setPoint(2, botRight);
convex.setPoint(3, botLeft);*/
//m_ hull as VertexArray
//m_hull.setPrimitiveType(sf::Lines);
m_hull.setPrimitiveType(sf::LineStrip); m_hull.setPrimitiveType(sf::LineStrip);
m_hull.append(sf::Vertex(topLeft, sf::Color::Blue)); m_hull.append(sf::Vertex(topLeft, sf::Color::Blue));
m_hull.append(sf::Vertex(topRight, sf::Color::Blue)); m_hull.append(sf::Vertex(topRight, sf::Color::Blue));
@ -168,35 +149,45 @@ void Display::update ()
sf::Vector2f left(WIDTH, HEIGHT); sf::Vector2f left(WIDTH, HEIGHT);
sf::Vector2f right(0, 0); sf::Vector2f right(0, 0);
for (auto& pt : m_points) int i_left = WIDTH;
int i_right = 0;
size_t points = m_points.size();
for (size_t i = 0; i < points; ++i)
{ {
sf::Vector2f pos = pt.getPosition(); sf::Vector2f pos = m_points[i].getPosition();
float x = pos.x; float x = pos.x;
//float y = pos.y; if (x < left.x)
if (x < left.x) left = pos; {
if (x > right.x) right = pos; i_left = i;
left = pos;
}
if (x > right.x)
{
i_right = i;
right = pos;
}
} }
//m_ hull as VertexArray // adding starting points from most x to left
//m_hull.setPrimitiveType(sf::Lines); if (i_left < i_right)
m_hull.setPrimitiveType(sf::LineStrip); {
m_hull.append(sf::Vertex(left, sf::Color::Blue)); std::swap(i_left, i_right);
m_hull.append(sf::Vertex(right, sf::Color::Blue)); }
for (int i = 0; i < 2; ++i)
{
int pos = (i == 0) ? i_left : i_right;
m_points[pos].setFillColor(sf::Color::Blue);
m_hullPoints.push_back(m_points[pos]);
m_points.erase(m_points.begin() + pos);
}
m_lines.push_back(Line(Point(left.x, left.y), Point(right.x, right.y))); m_lines.push_back(Line(Point(left.x, left.y), Point(right.x, right.y)));
m_lines.push_back(Line(Point(right.x, right.y), Point(left.x, left.y))); // add first line in both directions to work with "right side" m_lines.push_back(Line(Point(right.x, right.y), Point(left.x, left.y))); // add first line in both directions to work with "right side"
m_curLine = &m_lines[1]; m_curLineIdx = 1;
m_curLine = m_lines[1];
// TODO: split points and use map // TODO: split points and use map
m_convex.setPointCount(2);
m_convex.setFillColor(sf::Color::Transparent);
m_convex.setOutlineColor(sf::Color::Red);
m_convex.setOutlineThickness(2);
m_convex.setPoint(0, left);
m_convex.setPoint(1, right);
// TODO: could add here -> set color of points for current split
} }
} }
else if (curStep == 2) else if (curStep == 2)
@ -204,38 +195,44 @@ void Display::update ()
// second step: split board // second step: split board
m_textStatus.setString(text + "split board..."); m_textStatus.setString(text + "split board...");
// TODO: get current line with points // get current line with points
if (m_curLine == nullptr) while (m_curLineIdx == -1)
{ {
size_t lines = m_lines.size(); size_t lines = m_lines.size();
if (lines < 1) // no more open lines -> fin if (lines < 1) // no more open lines -> fin
{ {
std::cout << "## no more open lines -> fin!" << std::endl;
m_points.clear(); m_points.clear();
m_textStatus.setString(text + "finished calculating convex hull"); m_textStatus.setString(text + "finished calculating convex hull in " + std::to_string(m_step / 5) + " cycles");
return; return;
} }
m_curLine = &m_lines[lines - 1]; Line cand = m_lines[lines - 1];
} int positives = 0;
for (auto& pt : m_points)
{
positives += (sign(pt.getPosition().x, pt.getPosition().y,
cand.from().x(), cand.from().y(),
cand.to().x(), cand.to().y()) > 0) ? 1 : 0;
}
std::cout << "lines " << std::to_string(m_lines.size()) << std::endl; if (positives > 0)
for (auto& line : m_lines) {
{ m_curLineIdx = lines - 1;
std::cout << " " << m_curLine = m_lines[lines - 1];
std::to_string(line.from().x()) << ", " << }
std::to_string(line.from().y()) << " - " << else
std::to_string(line.to().x()) << ", " << {
std::to_string(line.to().y()) << " " << std::endl; m_lines.pop_back();
}
} }
for (auto& pt : m_points) for (auto& pt : m_points)
{ {
pt.setFillColor(sign( pt.setFillColor(sign(
pt.getPosition().x, pt.getPosition().y, pt.getPosition().x, pt.getPosition().y,
//m_hull[0].position.x, m_hull[0].position.y, m_lines[m_curLineIdx].from().x(), m_lines[m_curLineIdx].from().y(),
//m_hull[1].position.x, m_hull[1].position.y) > 0 ? sf::Color::Red : sf::Color::Green); m_lines[m_curLineIdx].to().x(), m_lines[m_curLineIdx].to().y()) > 0 ? sf::Color::Red : sf::Color::Green);
m_curLine->from().x(), m_curLine->from().y(),
m_curLine->to().x(), m_curLine->to().y()) > 0 ? sf::Color::Red : sf::Color::Green);
} }
} }
else if (curStep == 3) else if (curStep == 3)
@ -247,70 +244,40 @@ void Display::update ()
// third step: draw triangle, remove inner points // third step: draw triangle, remove inner points
m_textStatus.setString(text + "find furthest point and draw triangle..."); m_textStatus.setString(text + "find furthest point and draw triangle...");
sf::Vector2f pos = m_points[0].getPosition(); sf::Vector2f pos;
float maxDistance = 0; float maxDistance = 0;
for (auto& pt : m_points) int i_cand = 0;
size_t points = m_points.size();
for (size_t i = 0; i < points; ++i)
{ {
/* if (m_points[i].getFillColor() == sf::Color::Green) continue;
if (pt.getFillColor() == sf::Color::Green)
{
std::cout << "distance to green point " << pt.getPosition().x << ", " << pt.getPosition().y << ": " << distance << std::endl;
}
else if (pt.getFillColor() == sf::Color::Red)
{
std::cout << "distance to red point " << pt.getPosition().x << ", " << pt.getPosition().y << ": " << distance << std::endl;
}
*/
if (pt.getFillColor() == sf::Color::Green) continue;
sf::Vector2f cand = m_points[i].getPosition();
float distance = pDistance( float distance = pDistance(
pt.getPosition().x, pt.getPosition().y, cand.x, cand.y,
//m_hull[0].position.x, m_hull[0].position.y, m_lines[m_curLineIdx].from().x(), m_lines[m_curLineIdx].from().y(),
//m_hull[1].position.x, m_hull[1].position.y); m_lines[m_curLineIdx].to().x(), m_lines[m_curLineIdx].from().y());
m_curLine->from().x(), m_curLine->from().y(),
m_curLine->to().x(), m_curLine->from().y());
if (distance > maxDistance) if (distance > maxDistance)
{ {
pos = pt.getPosition(); i_cand = i;
pos = cand;
maxDistance = distance; maxDistance = distance;
} }
} }
if (maxDistance > 0) if (maxDistance > 0)
{ {
std::cout << "max point at " << pos.x << ", " << pos.y << std::endl; // move point from all points to hull points
m_points[i_cand].setFillColor(sf::Color::Blue);
m_hullPoints.push_back(m_points[i_cand]);
std::cout << "removing pt " << m_points[i_cand].getPosition().x << ", " << m_points[i_cand].getPosition().y << " at index " << std::to_string(i_cand) << " after inserted to hullpoints" << std::endl;
m_points.erase(m_points.begin() + i_cand);
// not append but insert between last line points Point to = m_lines[m_curLineIdx].to();
// -> append a point, then swap values Point from = m_lines[m_curLineIdx].from();
size_t vertices = m_hull.getVertexCount(); m_lines.push_back(Line(Point(pos.x, pos.y),to));
m_hull.append(sf::Vertex(pos, sf::Color::Blue)); m_lines[m_lines.size() - 2] = Line(from, Point(pos.x, pos.y)); // updates list entry
m_hull[vertices] = m_hull[vertices - 1];
m_hull[vertices - 1].position = pos;
size_t points = m_convex.getPointCount();
m_convex.setPointCount(points + 1);
m_convex.setPoint(points, pos);
//m_lines.push_back(Line(m_curLine->from(), Point(pos.x, pos.y)));
//m_lines.push_back(Line(Point(pos.x, pos.y), m_curLine->to()));
m_lines.push_back(Line(Point(pos.x, pos.y), m_curLine->to()));
//m_curLine->set_to(Point(pos.x, pos.y)); // only changes the value of the pointer
//(*m_curLine).set_to(Point(pos.x, pos.y)); // doesn't update list
//(*m_curLine) = Line(m_curLine->from(), Point(pos.x, pos.y)); // doesn't update list
m_lines[m_lines.size() - 2] = Line(m_curLine->from(), Point(pos.x, pos.y)); // updates list entry
std::cout << "added to lines " << std::to_string(m_lines.size()) << std::endl;
for (auto& line : m_lines)
{
std::cout << " " <<
std::to_string(line.from().x()) << ", " <<
std::to_string(line.from().y()) << " - " <<
std::to_string(line.to().x()) << ", " <<
std::to_string(line.to().y()) << " " << std::endl;
}
} }
else else
{ {
@ -322,39 +289,48 @@ void Display::update ()
// fourth step: remove inner points // fourth step: remove inner points
m_textStatus.setString(text + "remove inner points..."); m_textStatus.setString(text + "remove inner points...");
// TODO: wip size_t lines = m_lines.size() - 1;
/*size_t lines = m_lines.size() - 1; if (lines > 2)
Point pt1 = m_lines[lines - 1].from();
Point pt2 = m_lines[lines - 1].to();
Point pt3 = m_lines[lines].to();
for (size_t i = m_points.size(); i > 0; i--)
{ {
Point pt(m_points[i].getPosition().x, m_points[i].getPosition().y); // assure clockwise order
if (IsPointInTriangle(pt, pt1, pt2, pt3)) Point pt1 = m_lines[lines - 1].from();
Point pt2 = m_lines[lines - 1].to();
Point pt3 = m_lines[lines].to();
if (sign(pt2, pt1, pt3) > 0)
{ {
m_points.erase(m_points.begin() + i); std::swap(pt1, pt2);
} }
}*/
m_curLine = nullptr; size_t points = m_points.size();
for (int i = points - 1; i >= 0; i--)
{
Point pt(m_points[i].getPosition().x, m_points[i].getPosition().y);
if (IsPointInTriangle(pt, pt1, pt2, pt3))
{
std::cout << "remove pt inside triangle -> " << i << " with pos: " << pt.x() << ", " << pt.y() << std::endl;
m_points.erase(m_points.begin() + i);
}
else
{
m_points[i].setFillColor(sf::Color::Green);
}
}
}
//m_curLine = nullptr;
//m_curLineIdx = -1;
} }
else if (curStep == 5) else if (curStep == 5)
{ {
// fifth step: adding new hull point // fifth step: adding new hull point
// TEMP: TEST check if ends m_curLineIdx = -1;
//if (m_step >= 10) m_points.clear(); //m_curLine = m_lines[lines - 1];
if (m_points.size() == 0) m_textStatus.setString(text + "finished calculating convex hull"); if (m_points.size() == 0) m_textStatus.setString(text + "finished calculating convex hull in " + std::to_string(m_step/5) + " cycles");
else m_textStatus.setString(text + "adding new hull point..."); else m_textStatus.setString(text + "adding new hull point...");
} }
else if (m_step > 0) m_textStatus.setString(text + "invalid status!"); else if (m_step > 0) m_textStatus.setString(text + "invalid status!");
if (m_stepSize == 0 && curStep > 0)
{
std::cout << "any key to continue with next step...";
std::cin.get();
}
if (curStep != 5 || m_points.size() > 0) m_step++; if (curStep != 5 || m_points.size() > 0) m_step++;
} }
@ -362,42 +338,41 @@ void Display::render (sf::RenderWindow &window)
{ {
window.clear(sf::Color::White); window.clear(sf::Color::White);
// draw already calculated hull // draw already calculated hull points
//if (step >= 1) size_t elements = m_hullPoints.size();
for (size_t i = 0; i < elements; ++i)
{ {
/*size_t vertices = m_hull.getVertexCount(); window.draw(m_hullPoints[i]);
for (size_t i = 0; i < vertices; ++i)
{
std::cout << "hull pt[" << i << "] color: " << std::to_string(m_hull[i].color.toInteger()) << " >> " <<
std::to_string(m_hull[i].color.a) << ", " <<
std::to_string(m_hull[i].color.r) << ", " <<
std::to_string(m_hull[i].color.g) << ", " <<
std::to_string(m_hull[i].color.b) << std::endl;
}*/
//window.draw(&m_hull[0], m_hull.size(), sf::Lines); sf::Vertex ptTo;
window.draw(&m_hull[0], m_hull.getVertexCount(), m_hull.getPrimitiveType()); if (i < elements - 1) ptTo = sf::Vertex(m_hullPoints[i + 1].getPosition(), sf::Color::Blue);
else ptTo = sf::Vertex(m_hullPoints[0].getPosition(), sf::Color::Blue);
sf::Vertex line[] = { sf::Vertex(sf::Vector2f(m_hullPoints[i].getPosition()), sf::Color::Blue), ptTo };
// TODO: either insert points at correct location window.draw(line, 2, sf::Lines);
// or only sort, then draw final hull
//window.draw(m_convex);
} }
// always print remaining points // always print remaining points
size_t points = m_points.size(); elements = m_points.size();
for (size_t i = 0; i < points; ++i) for (size_t i = 0; i < elements; ++i)
{ {
window.draw(m_points[i]); window.draw(m_points[i]);
}
// seperately print labels for points
elements = m_labels.size();
for (size_t i = 0; i < elements; ++i)
{
window.draw(m_labels[i]); window.draw(m_labels[i]);
} }
// draw line the algorithm is currently working on // draw line the algorithm is currently working on
if (m_curLine != nullptr) if (m_curLineIdx != -1)
{ {
sf::Vertex line[] = sf::Vertex line[] =
{ {
sf::Vertex(sf::Vector2f(m_curLine->from().x(), m_curLine->from().y()), sf::Color::Red), sf::Vertex(sf::Vector2f(m_curLine.from().x(), m_curLine.from().y()), sf::Color::Red),
sf::Vertex(sf::Vector2f(m_curLine->to().x(), m_curLine->to().y()), sf::Color::Red) sf::Vertex(sf::Vector2f(m_curLine.to().x(), m_curLine.to().y()), sf::Color::Red)
}; };
window.draw(line, 2, sf::Lines); window.draw(line, 2, sf::Lines);
} }

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@ -5,6 +5,7 @@
// linux - sudo apt-get install libsfml-dev // linux - sudo apt-get install libsfml-dev
// windows - manual dl from https://www.sfml-dev.org/download.php // windows - manual dl from https://www.sfml-dev.org/download.php
#include <SFML/Graphics.hpp> #include <SFML/Graphics.hpp>
//#include <list>
#include "Line.h" #include "Line.h"
@ -29,12 +30,16 @@ private:
//sf::VertexArray m_labels; //sf::VertexArray m_labels;
//std::vector<sf::Vertex> m_hull; //std::vector<sf::Vertex> m_hull;
std::vector<sf::CircleShape> m_hullPoints;
sf::VertexArray m_hull; sf::VertexArray m_hull;
sf::ConvexShape m_convex; //sf::ConvexShape m_convex; // shape for convex hull -> does not fit because points have to be aligned already
//std::map<Line, std::vector<Point> > m_pointsForLine; //std::map<Line, std::vector<Point> > m_pointsForLine;
std::vector<Line> m_lines; std::vector<Line> m_lines;
Line *m_curLine = nullptr; //std::list<Line> m_lines;
//Line *m_curLine = nullptr; // get any value if the underlying vector gets resized and moved in memory
Line m_curLine; // -> either make a copy
size_t m_curLineIdx = -1; // or just use index
unsigned int m_step = 0; unsigned int m_step = 0;
void update(); void update();

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@ -6,9 +6,9 @@ static float sign(float x, float y, float x1, float y1, float x2, float y2)
return (x - x2) * (y1 - y2) - (x1 - x2) * (y - y2); return (x - x2) * (y1 - y2) - (x1 - x2) * (y - y2);
} }
static float sign (const Point &p1, const Point &p2, const Point &p3) static float sign (const Point &pt, const Point &p1, const Point &p2)
{ {
return (p1.x() - p3.x()) * (p2.y() - p3.y()) - (p2.x() - p3.x()) * (p1.y() - p3.y()); return (pt.x() - p2.x()) * (p1.y() - p2.y()) - (p1.x() - p2.x()) * (pt.y() - p2.y());
} }
static bool IsPointInTriangle(const Point &pt, const Point &p1, const Point &p2, const Point &p3) static bool IsPointInTriangle(const Point &pt, const Point &p1, const Point &p2, const Point &p3)

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@ -102,8 +102,7 @@ int main (int argc, char **argv)
} }
} }
// TODO: sort here, once and for all? xD // debug print points
//sortPoints(points);
for (Point& pt : points) for (Point& pt : points)
{ {
std::cout << "pt: " << pt.x() << ", " << pt.y() << std::endl; std::cout << "pt: " << pt.x() << ", " << pt.y() << std::endl;