Added Racing Lines Video

OneLoneCoder_RacingLines.cpp

@@ -0,0 +1,432 @@
+/*
+OneLoneCoder.com - Programming Racing Lines
+"Brake! Brake! Hard Left! " - @Javidx9
+
+License
+~~~~~~~
+One Lone Coder Console Game Engine  Copyright (C) 2018  Javidx9
+This program comes with ABSOLUTELY NO WARRANTY.
+This is free software, and you are welcome to redistribute it
+under certain conditions; See license for details.
+Original works located at:
+https://www.github.com/onelonecoder
+https://www.onelonecoder.com
+https://www.youtube.com/javidx9
+GNU GPLv3
+https://github.com/OneLoneCoder/videos/blob/master/LICENSE
+
+From Javidx9 :)
+~~~~~~~~~~~~~~~
+Hello! Ultimately I don't care what you use this for. It's intended to be
+educational, and perhaps to the oddly minded - a little bit of fun.
+Please hack this, change it and use it in any way you see fit. You acknowledge
+that I am not responsible for anything bad that happens as a result of
+your actions. However this code is protected by GNU GPLv3, see the license in the
+github repo. This means you must attribute me if you use it. You can view this
+license here: https://github.com/OneLoneCoder/videos/blob/master/LICENSE
+Cheers!
+
+Background
+~~~~~~~~~~
+Algorithmically generating a racing line is quite tricky. This simple framework 
+allows me to explore different methods. Use mouse to drag points, and A & S keys
+to change the number of iterations.
+
+Author
+~~~~~~
+Twitter: @javidx9
+Blog: http://www.onelonecoder.com
+Discord: https://discord.gg/WhwHUMV
+
+Video:
+~~~~~~
+https://youtu.be/FlieT66N9OM
+
+Last Updated: 27/05/2018
+*/
+
+#include <iostream>
+#include <string>
+using namespace std;
+
+#include "olcConsoleGameEngine.h"
+
+// See Programming Splines! Videos
+struct sPoint2D
+{
+	float x;
+	float y;
+	float length;
+};
+
+struct sSpline
+{
+	vector<sPoint2D> points;
+	float fTotalSplineLength = 0.0f;
+	bool bIsLooped = true;
+
+	sPoint2D GetSplinePoint(float t)
+	{
+		int p0, p1, p2, p3;
+		if (!bIsLooped)
+		{
+			p1 = (int)t + 1;
+			p2 = p1 + 1;
+			p3 = p2 + 1;
+			p0 = p1 - 1;
+		}
+		else
+		{
+			p1 = ((int)t) % points.size();
+			p2 = (p1 + 1) % points.size();
+			p3 = (p2 + 1) % points.size();
+			p0 = p1 >= 1 ? p1 - 1 : points.size() - 1;
+		}
+
+		t = t - (int)t;
+
+		float tt = t * t;
+		float ttt = tt * t;
+
+		float q1 = -ttt + 2.0f*tt - t;
+		float q2 = 3.0f*ttt - 5.0f*tt + 2.0f;
+		float q3 = -3.0f*ttt + 4.0f*tt + t;
+		float q4 = ttt - tt;
+
+		float tx = 0.5f * (points[p0].x * q1 + points[p1].x * q2 + points[p2].x * q3 + points[p3].x * q4);
+		float ty = 0.5f * (points[p0].y * q1 + points[p1].y * q2 + points[p2].y * q3 + points[p3].y * q4);
+
+		return{ tx, ty };
+	}
+
+	sPoint2D GetSplineGradient(float t)
+	{
+		int p0, p1, p2, p3;
+		if (!bIsLooped)
+		{
+			p1 = (int)t + 1;
+			p2 = p1 + 1;
+			p3 = p2 + 1;
+			p0 = p1 - 1;
+		}
+		else
+		{
+			p1 = ((int)t) % points.size();
+			p2 = (p1 + 1) % points.size();
+			p3 = (p2 + 1) % points.size();
+			p0 = p1 >= 1 ? p1 - 1 : points.size() - 1;
+		}
+
+		t = t - (int)t;
+
+		float tt = t * t;
+		float ttt = tt * t;
+
+		float q1 = -3.0f * tt + 4.0f*t - 1.0f;
+		float q2 = 9.0f*tt - 10.0f*t;
+		float q3 = -9.0f*tt + 8.0f*t + 1.0f;
+		float q4 = 3.0f*tt - 2.0f*t;
+
+		float tx = 0.5f * (points[p0].x * q1 + points[p1].x * q2 + points[p2].x * q3 + points[p3].x * q4);
+		float ty = 0.5f * (points[p0].y * q1 + points[p1].y * q2 + points[p2].y * q3 + points[p3].y * q4);
+
+		return{ tx, ty };
+	}
+
+	float CalculateSegmentLength(int node)
+	{
+		float fLength = 0.0f;
+		float fStepSize = 0.1;
+
+		sPoint2D old_point, new_point;
+		old_point = GetSplinePoint((float)node);
+
+		for (float t = 0; t < 1.0f; t += fStepSize)
+		{
+			new_point = GetSplinePoint((float)node + t);
+			fLength += sqrtf((new_point.x - old_point.x)*(new_point.x - old_point.x)
+				+ (new_point.y - old_point.y)*(new_point.y - old_point.y));
+			old_point = new_point;
+		}
+
+		return fLength;
+	}
+
+
+	float GetNormalisedOffset(float p)
+	{
+		// Which node is the base?
+		int i = 0;
+		while (p > points[i].length)
+		{
+			p -= points[i].length;
+			i++;
+		}
+
+		// The fractional is the offset 
+		return (float)i + (p / points[i].length);
+	}
+
+
+	void UpdateSplineProperties()
+	{
+		// Use to cache local spline lengths and overall spline length
+		fTotalSplineLength = 0.0f;
+
+		if (bIsLooped)
+		{
+			// Each node has a succeeding length
+			for (int i = 0; i < points.size(); i++)
+			{
+				points[i].length = CalculateSegmentLength(i);
+				fTotalSplineLength += points[i].length;
+			}
+		}
+		else
+		{
+			for (int i = 1; i < points.size() - 2; i++)
+			{
+				points[i].length = CalculateSegmentLength(i);
+				fTotalSplineLength += points[i].length;
+			}
+		}
+	}
+
+	void DrawSelf(olcConsoleGameEngine* gfx, float ox, float oy, wchar_t c = 0x2588, short col = 0x000F)
+	{
+		if (bIsLooped)
+		{
+			for (float t = 0; t < (float)points.size() - 0; t += 0.005f)
+			{
+				sPoint2D pos = GetSplinePoint(t);
+				gfx->Draw(pos.x, pos.y, c, col);
+			}
+		}
+		else // Not Looped
+		{
+			for (float t = 0; t < (float)points.size() - 3; t += 0.005f)
+			{
+				sPoint2D pos = GetSplinePoint(t);
+				gfx->Draw(pos.x, pos.y, c, col);
+			}
+		}
+	}
+
+};
+
+
+
+////////////////////////////////////////////////////////////////////////
+////////////////////////////////////////////////////////////////////////
+
+class OneLoneCoder_RacingLine : public olcConsoleGameEngine
+{
+public:
+	OneLoneCoder_RacingLine()
+	{
+		m_sAppName = L"Racing Line";
+	}
+
+private:
+	sSpline path, trackLeft, trackRight, racingLine;	// Various splines
+
+	int nNodes = 20;	// Number of nodes in spline
+	
+	float fDisplacement[20]; // Displacement along spline node normal
+
+	int nIterations = 1; 
+	float fMarker = 1.0f;
+	int nSelectedNode = -1;
+
+	vector<pair<float, float>> vecModelCar;
+
+protected:
+	// Called by olcConsoleGameEngine
+	virtual bool OnUserCreate()
+	{
+		for (int i = 0; i < nNodes; i++)
+		{
+			//path.points.push_back(
+			//	{ 30.0f * sinf((float)i / (float)nNodes * 3.14159f * 2.0f) + ScreenWidth() / 2,
+			//	30.0f * cosf((float)i / (float)nNodes * 3.14159f * 2.0f) + ScreenHeight() / 2 });
+
+			// Could use allocation functions for thes now, but just size via
+			// append
+			trackLeft.points.push_back({ 0.0f, 0.0f });
+			trackRight.points.push_back({ 0.0f, 0.0f });
+			racingLine.points.push_back({ 0.0f, 0.0f });
+		}
+
+		// A hand crafted track
+		path.points = { { 81.8f, 196.0f },	{ 108.0f,210.0f },	{ 152.0f,216.0f },
+		{ 182.0f,185.6f },	{ 190.0f,159.0f },	{ 198.0f,122.0f },	{ 226.0f,93.0f },
+		{ 224.0f,41.0f },	{ 204.0f,15.0f },	{ 158.0f,24.0f },	{ 146.0f,52.0f },
+		{ 157.0f,93.0f },	{ 124.0f,129.0f },	{ 83.0f,104.0f },	{ 77.0f,62.0f },
+		{ 40.0f,57.0f },	{ 21.0f,83.0f },	{ 33.0f,145.0f },	{ 30.0f,198.0f },
+		{ 48.0f,210.0f } };
+
+		vecModelCar = { { 2,0 },{ 0,-1 },{ 0,1 } };
+
+		path.UpdateSplineProperties();
+		return true;
+	}
+
+	// Called by olcConsoleGameEngine
+	virtual bool OnUserUpdate(float fElapsedTime)
+	{
+		// Clear Screen
+		Fill(0, 0, ScreenWidth(), ScreenHeight(), PIXEL_SOLID, FG_DARK_GREEN);
+
+		// Handle iteration count
+		if (m_keys[L'A'].bHeld)	nIterations++;
+		if (m_keys[L'S'].bHeld)	nIterations--;
+		if (nIterations < 0) nIterations = 0;
+
+
+		// Check if node is selected with mouse
+		if (GetMouse(0).bPressed)
+		{
+			for (int i = 0; i < path.points.size(); i++)
+			{
+				float d = sqrtf(powf(path.points[i].x - GetMouseX(), 2) + powf(path.points[i].y - GetMouseY(), 2));
+				if (d < 5.0f)
+				{
+					nSelectedNode = i;
+					break;
+				}
+			}
+		}
+
+		if (GetMouse(0).bReleased)
+			nSelectedNode = -1;
+
+		// Move selected node
+		if (GetMouse(0).bHeld && nSelectedNode >= 0)
+		{
+			path.points[nSelectedNode].x = GetMouseX();
+			path.points[nSelectedNode].y = GetMouseY();
+			path.UpdateSplineProperties();
+		}
+
+		// Move car around racing line
+		fMarker += 2.0f * fElapsedTime;
+		if (fMarker >= (float)racingLine.fTotalSplineLength)
+			fMarker -= (float)racingLine.fTotalSplineLength;
+
+		// Calculate track boundary points
+		float fTrackWidth = 10.0f;
+		for (int i = 0; i < path.points.size(); i++)
+		{
+			sPoint2D p1 = path.GetSplinePoint(i);
+			sPoint2D g1 = path.GetSplineGradient(i);
+			float glen = sqrtf(g1.x*g1.x + g1.y*g1.y);
+
+			trackLeft.points[i].x = p1.x + fTrackWidth * (-g1.y / glen);
+			trackLeft.points[i].y = p1.y + fTrackWidth * ( g1.x / glen);
+			trackRight.points[i].x = p1.x - fTrackWidth * (-g1.y / glen);
+			trackRight.points[i].y = p1.y - fTrackWidth * (g1.x / glen);
+		}
+
+		// Draw Track
+		float fRes = 0.2f;
+		for (float t = 0.0f; t < path.points.size(); t += fRes)
+		{
+			sPoint2D pl1 = trackLeft.GetSplinePoint(t);
+			sPoint2D pr1 = trackRight.GetSplinePoint(t);
+			sPoint2D pl2 = trackLeft.GetSplinePoint(t + fRes);
+			sPoint2D pr2 = trackRight.GetSplinePoint(t + fRes);
+
+			FillTriangle(pl1.x, pl1.y, pr1.x, pr1.y, pr2.x, pr2.y, PIXEL_SOLID, FG_GREY);
+			FillTriangle(pl1.x, pl1.y, pl2.x, pl2.y, pr2.x, pr2.y, PIXEL_SOLID, FG_GREY);
+		}
+
+		// Reset racing line
+		for (int i = 0; i < racingLine.points.size(); i++)
+		{
+			racingLine.points[i] = path.points[i];
+			fDisplacement[i] = 0;
+		}
+		racingLine.UpdateSplineProperties();
+
+		for (int n = 0; n < nIterations; n++)
+		{
+			for (int i = 0; i < racingLine.points.size(); i++)
+			{
+				// Get locations of neighbour nodes
+				sPoint2D pointRight = racingLine.points[(i + 1) % racingLine.points.size()];
+				sPoint2D pointLeft = racingLine.points[(i + racingLine.points.size() - 1) % racingLine.points.size()];
+				sPoint2D pointMiddle = racingLine.points[i];
+
+				// Create vectors to neighbours
+				sPoint2D vectorLeft = { pointLeft.x - pointMiddle.x, pointLeft.y - pointMiddle.y };
+				sPoint2D vectorRight = { pointRight.x - pointMiddle.x, pointRight.y - pointMiddle.y };
+
+				// Normalise neighbours
+				float lengthLeft = sqrtf(vectorLeft.x*vectorLeft.x + vectorLeft.y*vectorLeft.y);
+				sPoint2D leftn = { vectorLeft.x / lengthLeft, vectorLeft.y / lengthLeft };
+				float lengthRight = sqrtf(vectorRight.x*vectorRight.x + vectorRight.y*vectorRight.y);
+				sPoint2D rightn = { vectorRight.x / lengthRight, vectorRight.y / lengthRight };
+
+				// Add together to create bisector vector
+				sPoint2D vectorSum = { rightn.x + leftn.x, rightn.y + leftn.y };
+				float len = sqrtf(vectorSum.x*vectorSum.x + vectorSum.y*vectorSum.y);
+				vectorSum.x /= len; vectorSum.y /= len;
+
+				// Get point gradient and normalise
+				sPoint2D g = path.GetSplineGradient(i);
+				float glen = sqrtf(g.x*g.x + g.y*g.y);
+				g.x /= glen; g.y /= glen;
+
+				// Project required correction onto point tangent to give displacment
+				float dp = -g.y*vectorSum.x + g.x * vectorSum.y;
+
+				// Shortest path
+				fDisplacement[i] += (dp * 0.3f);
+
+				// Curvature
+				//fDisplacement[(i + 1) % racingLine.points.size()] += dp * -0.2f;
+				//fDisplacement[(i - 1 + racingLine.points.size()) % racingLine.points.size()] += dp * -0.2f;
+
+			}
+
+			// Clamp displaced points to track width
+			for (int i = 0; i < racingLine.points.size(); i++)
+			{
+				if (fDisplacement[i] >= fTrackWidth) fDisplacement[i] = fTrackWidth;
+				if (fDisplacement[i] <= -fTrackWidth) fDisplacement[i] = -fTrackWidth;
+
+				sPoint2D g = path.GetSplineGradient(i);
+				float glen = sqrtf(g.x*g.x + g.y*g.y);
+				g.x /= glen; g.y /= glen;
+
+				racingLine.points[i].x = path.points[i].x + -g.y * fDisplacement[i];
+				racingLine.points[i].y = path.points[i].y + g.x * fDisplacement[i];
+			}
+		}
+
+		path.DrawSelf(this, 0, 0);
+		//trackLeft.DrawSelf(this, 0, 0);
+		//trackRight.DrawSelf(this, 0, 0);
+
+		racingLine.UpdateSplineProperties();
+		racingLine.DrawSelf(this, 0, 0, PIXEL_SOLID, FG_BLUE);
+
+		for (auto i : path.points)
+			Fill(i.x - 1, i.y - 1, i.x + 2, i.y + 2, PIXEL_SOLID, FG_RED);
+
+		sPoint2D car_p = racingLine.GetSplinePoint(fMarker);
+		sPoint2D car_g = racingLine.GetSplineGradient(fMarker);
+		DrawWireFrameModel(vecModelCar, car_p.x, car_p.y, atan2f(car_g.y, car_g.x), 4.0f, FG_BLACK);
+
+		return true;
+	}
+};
+
+
+int main()
+{
+	OneLoneCoder_RacingLine demo;
+	demo.ConstructConsole(256, 240, 4, 4);
+	demo.Start();
+	return 0;
+}

olcConsoleGameEngine.h

@@ -51,9 +51,9 @@ Beginners Guide:		https://youtu.be/u5BhrA8ED0o
 Shout Outs!
 ~~~~~~~~~~~
 Thanks to cool people who helped with testing, bug-finding and fixing!
-wowLinh, JavaJack59, idkwid, kingtatgi, Return Null, CPP Guy
+wowLinh, JavaJack59, idkwid, kingtatgi, Return Null, CPP Guy, MaGetzUb
 
-Last Updated: 18/03/2018
+Last Updated: 27/05/2018
 
 Usage:
 ~~~~~~
@@ -370,13 +370,13 @@ public:
 		cfi.FontFamily = FF_DONTCARE;
 		cfi.FontWeight = FW_NORMAL;
 
-		/*DWORD version = GetVersion();
+	/*	DWORD version = GetVersion();
 		DWORD major = (DWORD)(LOBYTE(LOWORD(version)));
-		DWORD minor = (DWORD)(HIBYTE(LOWORD(version)));
+		DWORD minor = (DWORD)(HIBYTE(LOWORD(version)));*/
 
-		if ((major > 6) || ((major == 6) && (minor >= 2) && (minor < 4)))		
-			wcscpy_s(cfi.FaceName, L"Raster"); // Windows 8 :(
-		else*/
+		//if ((major > 6) || ((major == 6) && (minor >= 2) && (minor < 4)))		
+		//	wcscpy_s(cfi.FaceName, L"Raster"); // Windows 8 :(
+		//else
 			wcscpy_s(cfi.FaceName, L"Lucida Console"); // Everything else :P
 
 		//wcscpy_s(cfi.FaceName, L"Liberation Mono");
@@ -461,27 +461,18 @@ public:
 	void DrawLine(int x1, int y1, int x2, int y2, wchar_t c = 0x2588, short col = 0x000F)
 	{
 		int x, y, dx, dy, dx1, dy1, px, py, xe, ye, i;
-		dx = x2 - x1;
-		dy = y2 - y1;
-		dx1 = abs(dx);
-		dy1 = abs(dy);
-		px = 2 * dy1 - dx1;
-		py = 2 * dx1 - dy1;
+		dx = x2 - x1; dy = y2 - y1;
+		dx1 = abs(dx); dy1 = abs(dy);
+		px = 2 * dy1 - dx1;	py = 2 * dx1 - dy1;
 		if (dy1 <= dx1)
 		{
 			if (dx >= 0)
-			{
-				x = x1;
-				y = y1;
-				xe = x2;
-			}
+				{ x = x1; y = y1; xe = x2; }
 			else
-			{
-				x = x2;
-				y = y2;
-				xe = x1;
-			}
+				{ x = x2; y = y2; xe = x1;}
+
 			Draw(x, y, c, col);
+			
 			for (i = 0; x<xe; i++)
 			{
 				x = x + 1;
@@ -489,10 +480,7 @@ public:
 					px = px + 2 * dy1;
 				else
 				{
-					if ((dx<0 && dy<0) || (dx>0 && dy>0))
-						y = y + 1;
-					else
-						y = y - 1;
+					if ((dx<0 && dy<0) || (dx>0 && dy>0)) y = y + 1; else y = y - 1;
 					px = px + 2 * (dy1 - dx1);
 				}
 				Draw(x, y, c, col);
@@ -501,18 +489,12 @@ public:
 		else
 		{
 			if (dy >= 0)
-			{
-				x = x1;
-				y = y1;
-				ye = y2;
-			}
+				{ x = x1; y = y1; ye = y2; }
 			else
-			{
-				x = x2;
-				y = y2;
-				ye = y1;
-			}
+				{ x = x2; y = y2; ye = y1; }
+
 			Draw(x, y, c, col);
+
 			for (i = 0; y<ye; i++)
 			{
 				y = y + 1;
@@ -520,10 +502,7 @@ public:
 					py = py + 2 * dx1;
 				else
 				{
-					if ((dx<0 && dy<0) || (dx>0 && dy>0))
-						x = x + 1;
-					else
-						x = x - 1;
+					if ((dx<0 && dy<0) || (dx>0 && dy>0)) x = x + 1; else x = x - 1;
 					py = py + 2 * (dx1 - dy1);
 				}
 				Draw(x, y, c, col);
@@ -531,6 +510,192 @@ public:
 		}
 	}
 
+	void DrawTriangle(int x1, int y1, int x2, int y2, int x3, int y3, wchar_t c = 0x2588, short col = 0x000F)
+	{
+		DrawLine(x1, y1, x2, y2, c, col);
+		DrawLine(x2, y2, x3, y3, c, col);
+		DrawLine(x3, y3, x1, y1, c, col);
+	}
+
+	// https://www.avrfreaks.net/sites/default/files/triangles.c
+	void FillTriangle(int x1, int y1, int x2, int y2, int x3, int y3, wchar_t c = 0x2588, short col = 0x000F)
+	{
+		auto SWAP = [](int &x, int &y) { int t = x; x = y; y = t; };
+		auto drawline = [&](int sx, int ex, int ny) { for (int i = sx; i <= ex; i++) Draw(i, ny, c, col); };
+		
+		int t1x, t2x, y, minx, maxx, t1xp, t2xp;
+		bool changed1 = false;
+		bool changed2 = false;
+		int signx1, signx2, dx1, dy1, dx2, dy2;
+		int e1, e2;
+		// Sort vertices
+		if (y1>y2) { SWAP(y1, y2); SWAP(x1, x2); }
+		if (y1>y3) { SWAP(y1, y3); SWAP(x1, x3); }
+		if (y2>y3) { SWAP(y2, y3); SWAP(x2, x3); }
+
+		t1x = t2x = x1; y = y1;   // Starting points
+		dx1 = (int)(x2 - x1); if (dx1<0) { dx1 = -dx1; signx1 = -1; }
+		else signx1 = 1;
+		dy1 = (int)(y2 - y1);
+
+		dx2 = (int)(x3 - x1); if (dx2<0) { dx2 = -dx2; signx2 = -1; }
+		else signx2 = 1;
+		dy2 = (int)(y3 - y1);
+
+		if (dy1 > dx1) {   // swap values
+			SWAP(dx1, dy1);
+			changed1 = true;
+		}
+		if (dy2 > dx2) {   // swap values
+			SWAP(dy2, dx2);
+			changed2 = true;
+		}
+
+		e2 = (int)(dx2 >> 1);
+		// Flat top, just process the second half
+		if (y1 == y2) goto next;
+		e1 = (int)(dx1 >> 1);
+
+		for (int i = 0; i < dx1;) {
+			t1xp = 0; t2xp = 0;
+			if (t1x<t2x) { minx = t1x; maxx = t2x; }
+			else { minx = t2x; maxx = t1x; }
+			// process first line until y value is about to change
+			while (i<dx1) {
+				i++;
+				e1 += dy1;
+				while (e1 >= dx1) {
+					e1 -= dx1;
+					if (changed1) t1xp = signx1;//t1x += signx1;
+					else          goto next1;
+				}
+				if (changed1) break;
+				else t1x += signx1;
+			}
+			// Move line
+		next1:
+			// process second line until y value is about to change
+			while (1) {
+				e2 += dy2;
+				while (e2 >= dx2) {
+					e2 -= dx2;
+					if (changed2) t2xp = signx2;//t2x += signx2;
+					else          goto next2;
+				}
+				if (changed2)     break;
+				else              t2x += signx2;
+			}
+		next2:
+			if (minx>t1x) minx = t1x; if (minx>t2x) minx = t2x;
+			if (maxx<t1x) maxx = t1x; if (maxx<t2x) maxx = t2x;
+			drawline(minx, maxx, y);    // Draw line from min to max points found on the y
+										 // Now increase y
+			if (!changed1) t1x += signx1;
+			t1x += t1xp;
+			if (!changed2) t2x += signx2;
+			t2x += t2xp;
+			y += 1;
+			if (y == y2) break;
+
+		}
+	next:
+		// Second half
+		dx1 = (int)(x3 - x2); if (dx1<0) { dx1 = -dx1; signx1 = -1; }
+		else signx1 = 1;
+		dy1 = (int)(y3 - y2);
+		t1x = x2;
+
+		if (dy1 > dx1) {   // swap values
+			SWAP(dy1, dx1);
+			changed1 = true;
+		}
+		else changed1 = false;
+
+		e1 = (int)(dx1 >> 1);
+
+		for (int i = 0; i <= dx1; i++) {
+			t1xp = 0; t2xp = 0;
+			if (t1x<t2x) { minx = t1x; maxx = t2x; }
+			else { minx = t2x; maxx = t1x; }
+			// process first line until y value is about to change
+			while (i<dx1) {
+				e1 += dy1;
+				while (e1 >= dx1) {
+					e1 -= dx1;
+					if (changed1) { t1xp = signx1; break; }//t1x += signx1;
+					else          goto next3;
+				}
+				if (changed1) break;
+				else   	   	  t1x += signx1;
+				if (i<dx1) i++;
+			}
+		next3:
+			// process second line until y value is about to change
+			while (t2x != x3) {
+				e2 += dy2;
+				while (e2 >= dx2) {
+					e2 -= dx2;
+					if (changed2) t2xp = signx2;
+					else          goto next4;
+				}
+				if (changed2)     break;
+				else              t2x += signx2;
+			}
+		next4:
+
+			if (minx>t1x) minx = t1x; if (minx>t2x) minx = t2x;
+			if (maxx<t1x) maxx = t1x; if (maxx<t2x) maxx = t2x;
+			drawline(minx, maxx, y);   										
+			if (!changed1) t1x += signx1;
+			t1x += t1xp;
+			if (!changed2) t2x += signx2;
+			t2x += t2xp;
+			y += 1;
+			if (y>y3) return;
+		}
+	}
+
+	// Non-bresenham method
+	/*void FillTriangle(int x1, int y1, int x2, int y2, int x3, int y3, wchar_t c = 0x2588, short col = 0x000F)
+	{
+		if ((x1 == x2 && x1 == x3) || (y1 == y2) && (y1 == y3))
+			return;
+		
+		int tmp;
+		if (y2 < y1){ tmp = y1; y1 = y2; y2 = tmp; tmp = x1; x1 = x2; x2 = tmp;	}
+		if (y3 < y1){ tmp = y1; y1 = y3; y3 = tmp; tmp = x1; x1 = x3; x3 = tmp;	}
+		if (y3 < y2){ tmp = y2;	y2 = y3; y3 = tmp; tmp = x2; x2 = x3; x3 = tmp;	}
+
+		int dy1 = y2 - y1, dx1 = x2 - x1;
+		int dy2 = y3 - y1, dx2 = x3 - x1;
+
+		if (dy1) 
+		{
+			for (int i = y1; i < y2; i++) 
+			{
+				int ax = x1 + ((i - y1)*dx1) / dy1;
+				int bx = x1 + ((i - y1)*dx2) / dy2;
+				tmp = ax;
+				if (ax > bx) ax = bx, bx = tmp;
+				for (int j = ax; j < bx; j++) Draw(j, i, c, col);
+			}
+		}
+
+		dy1 = y3 - y2; dx1 = x3 - x2;
+
+		if (dy1) 
+		{
+			for (int i = y2; i < y3; i++) 
+			{
+				int ax = x2 + ((i - y2)*dx1) / dy1;
+				int bx = x1 + ((i - y1)*dx2) / dy2;
+				tmp = ax;
+				if (ax > bx) ax = bx, bx = tmp;
+				for (int j = ax; j < bx; j++) Draw(j, i, c, col);
+			}
+		}
+	}*/
+
 	void DrawCircle(int xc, int yc, int r, wchar_t c = 0x2588, short col = 0x000F)
 	{
 		int x = 0;