14CS60R12_RandomCubes.tar

specs.txt0000664000175000017500000000014412465671325013624 0ustar  maxxximummaxxximum6
300 1 200 200
150 8 150.5 151.23
100 5 150 150
50 15 250.3 252.1
30 10 150.4 152.2
20 20 150 150

Shape.cpp0000664000175000017500000002246412465664141013521 0ustar  maxxximummaxxximum
/* Contains Abstract Shape class and corresponding Rect and cube classes
 * Author:Mahendra Chouhan(14CS60R12)
 */ 
 
#include <iostream>
#include <math.h>
#include <fstream>
#include <stdlib.h>
#include <vector>
#include "Point3D.cpp"

/*Parent Shape class for all shapes
 * any new shape must inherit this
 * Note: All movement must be relative to origin
 * if absolute values are needed than compute using getAbs()
 * */
class Shape
{
      Point3D origin;
      int degX,degY,degZ;
      public:
      //generate absolute values of shape (if required)  
      virtual Shape& getAbsolutes(Shape &) = 0;
      virtual void Rotate(int,int,int)= 0;
      virtual void Scale(float)= 0;
      virtual void Move(Point3D &)= 0;
      virtual bool Collision(Shape &)= 0;
};

class Rect
{
    Point3D origin;
  
    Point3D Points[4];
    //int orientation;
    public:
    friend class Cube;
    friend bool CheckCollision(std::vector<class Cube> world,class Cube c);
    friend Point2D HandleCollision(std::vector<class Cube> &world,class Cube C,std::vector<class Cube> &conflicts);

    Rect(){}
    Rect(Point3D origin,Point3D p0,Point3D p1,Point3D p2,Point3D p3)
    {
        this->origin = origin;
            Points[0] = p0;Points[1] = p1;
        Points[2] = p2;Points[3] = p3;
    }
    Point3D getOrigin() { return origin;}
    void setOrigin(Point3D P) { origin = P; }
    Point3D * getPoints() { return Points;}
    //@not implemented
    //~ Rect(Point3D origin,int orientation,int length,int breadth)
    //~ {
	//~ float deg = Rad(orientation);
	//~ this->origin = origin;
        //~ 
    //~ }
    void write(std::ofstream &out)
    {
        //@Add origin to all points
        for(int i = 0;i<3;++i)
                writeLine(Points[i],Points[i+1],out);
	   writeLine(Points[0],Points[3],out);
         writePoint(origin,out); 
    }
    bool isAbove(Rect &R2)
    {
        return (R2.origin.z < origin.z);
    }
    //Not implemented
    void Rotate(int Degx,int Degy,int Degz);
    void Scale(int S);
    bool CheckCollision(Rect &R2)
    {   
        //@Assuming absolute values
        bool flag = false;
        for(int i = 0;i<4;++i)
        {
		flag = check_inside(R2.Points[i]) or 
			R2.check_inside(Points[i]) or flag;
        }
        flag = check_inside(R2.origin) or flag;
        return flag;
    }
    
    void Translate(Point3D P)
    {
        for(int i = 0;i<4;++i) Points[i] = Points[i] + P;
        origin = origin + P;
    }
    
    bool check_inside(Point3D q)
    {
        Vector prev;
        for(int i = 0;i<4;++i)
        {
            Vector V = Points[(i+1)%4] - Points[i],
                   Q = q - Points[i];
            Vector R = V.X(Q);//cross product
            
            if( i == 0) prev = R;
            
            if( (prev.z > 0 && R.z > 0) or
                (prev.z < 0 && R.z < 0) or (!prev.z ^ !R.z)) 
                prev = R;
            else return false;
        }	
        return true;
    }
};

class Cube
{
	Point3D origin;
      public:
      Rect Faces[6];

      friend bool CheckCollision(std::vector<Cube> world,Cube c);
      friend Point2D HandleCollision(std::vector<Cube> &world,Cube C,std::vector<Cube> &conflicts);

      //int length,breadth,depth;
	//length - along x axis
	//bredth - along y axis , depth - along z axis
	Cube(Point3D orig,int length,int breadth,int depth)
	{	
		Point3D temp;
            Point3D Points[8];
	
		origin = orig;
		temp.y -= breadth/2;temp.x -= length/2;temp.z += depth/2;
		
		Points[0] = temp;
		temp.x += length;Points[1] = temp;
		temp.y += breadth;Points[2] = temp;
		temp.x -= length;Points[3] = temp;
		temp.z -= depth;Points[4] = temp;
		temp.y -= breadth;Points[5] = temp;
		temp.x += length;Points[6] = temp;
		temp.y += breadth;Points[7] =temp;
		
		temp = Point3D(0,0,depth/2);
		Faces[0] = Rect(temp,
				Points[0],Points[1],Points[2],Points[3]);                
		temp = Point3D(0,0,-depth/2);
		Faces[1] = Rect(temp,
				Points[4],Points[5],Points[6],Points[7]);
		temp = Point3D(0,breadth/2,0);
		Faces[2] = Rect(temp,
				Points[2],Points[3],Points[4],Points[7]);
		temp = Point3D(0,-breadth/2,0);
		Faces[3] = Rect(temp,
				Points[0],Points[1],Points[6],Points[5]);
		temp = Point3D(length/2,0,0);
		Faces[4] = Rect(temp,
				Points[1],Points[2],Points[7],Points[6]);
		temp = Point3D(-length/2,0,0);
		Faces[5] = Rect(temp,
				Points[0],Points[3],Points[4],Points[5]);		
	}
	Cube(const char *objfile)
      {
            std::ifstream in(objfile);
            int x=0,y=0,z=0;
            int l=0,b=0,h=0;
            in>>l>>b>>h>>x>>y>>z;
            std::cout<<"\nCube{"<<l<<b<<h<<x<<y<<z<<"}\n";

            *this = Cube(Point3D(x,y,z),l,b,h);
            in.close();	
      }
	Cube(int l)
      {
            *this = Cube(Point3D(),l,l,l);
      }
      Cube()
      {
            *this = Cube(Point3D(),0,0,0);
      }
	void Scale(float S);
	void Rotate(int Degx,int Degy,int Degz);
	void write(const char *svgFile);
	//projects hidden faces
	void writeHidden(const char*svgFile);
      void getAbsolutes(Cube &c)
      {
            c.origin = origin;
            for(int i = 0;i<6;++i)
                  for(int j = 0;j<4;++j)
                  {
                        c.Faces[i].Points[j] = 
                        Faces[i].Points[j] + origin;
                        c.Faces[i].origin = Faces[i].origin+origin;
                  }      
      }
      //~ A relative movement
      void Translate(Point3D &P)
      {
            origin = origin + P;
      }
      //~ Absolute movement of cube to that point
      void Move(Point3D &P)
      {
            origin = P;    
      }
      //@doesnot projects hidden space
      void write(std::ofstream &out);
      //@Writes to ofstream and uses the id to determine vertex position
      void writeObj(std::ofstream &out,int ID);
};

void Cube::Scale(float S)
{
      float MatS[4][4] = { S, 0, 0,  0,
                         0, S, 0,  0,
                         0, 0, S,  0,
                         0, 0, 0,  1 };
	//@for(int i = 0;i<8;++i)
		//@Points[i].Multiply(MatS);
	for(int i = 0;i<6;++i)
      {
            for(int j = 0;j<4;++j)
            {
                Faces[i].Points[j].Multiply(MatS);
            }
            
            Faces[i].origin.Multiply(MatS);

      }    
}

void Cube::Rotate(int Degx,int Degy,int Degz)
{
    float   radx = Rad(Degx),
            rady = Rad(Degy),
            radz = Rad(Degz);
	
    float MatZ[4][4] = { cosf(radz), -sinf(radz), 0,  0,
                         sinf(radz), cosf(radz),  0,  0,
                         0       ,  0      ,    1,  0,
                         0       ,  0      ,    0,  1 };
                         
      float MatY[4][4] = { cosf(rady), 0,    sinf(rady),0,
                         0       , 1,       0    ,0,
                         -sinf(rady), 0,   cosf(rady),0,
                         0       ,  0      ,  0  ,1 };
                         
	float MatX[4][4] = { 1       ,  0      ,  0     ,0,
                         0,     cosf(radx), -sinf(radx) ,0,
                         0,     sinf(radx), cosf(radx)  ,0,
                         0,         0   ,       0   ,1 };

	//@for(int i = 0;i<8;++i)
		//@Points[i].Multiply(MatX)->Multiply(MatY)->Multiply(MatZ);
	for(int i = 0;i<6;++i)
      {
            for(int j = 0;j<4;++j)
            Faces[i].Points[j].Multiply(MatX)->
                               Multiply(MatY)->
                               Multiply(MatZ);
            Faces[i].origin.Multiply(MatX)->
                            Multiply(MatY)->
                            Multiply(MatZ);                   
      }
}

void Cube::writeHidden(const char *svgFile)
{
      Cube C;
      getAbsolutes(C);
	std::ofstream out(svgFile);
    
	out<<"<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\" height=\"310\" width=\"500\">\n";

      for(int i = 0;i<6;++i)
            C.Faces[i].write(out);
      out<<"</svg>\n";
    
	out.close();
}

void Cube::write(std::ofstream &out)
{
    Cube C;
    getAbsolutes(C);
      
    for(int i = 0;i<6;++i)
    {
        bool collision = false;
        for(int j = 0;j<6;++j)
        {
            if( i == j) continue;  
            if(C.Faces[i].CheckCollision(C.Faces[j]))
            {
                collision = true;
                if(C.Faces[i].isAbove(C.Faces[j]))
                    C.Faces[i].write(out);
                break;
            }
        
        }
        if(!collision)
            C.Faces[i].write(out);
    }
        
}

void Cube::write(const char *svgFile)
{
	std::ofstream out(svgFile);    
	out<<"<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\" height=\"310\" width=\"500\">\n";
      write(out);
      out<<"</svg>\n";
    	out.close();
}

void Cube::writeObj(std::ofstream &out,int ID)
{
      Cube C;
      getAbsolutes(C);
      
      for(int i = 0;i<2;++i)
            for(int j = 0;j<4;++j)
            {
                  out<<"v ";
                  out<<C.Faces[i].Points[j]<<std::endl;
            }
            
      out<<"f "<<ID+0<<" "<<ID+1<<" "<<ID+2<<" "<<ID+3<<std::endl;            
      out<<"f "<<ID+4<<" "<<ID+5<<" "<<ID+6<<" "<<ID+7<<std::endl;            
      out<<"f "<<ID+2<<" "<<ID+3<<" "<<ID+4<<" "<<ID+7<<std::endl;            
      out<<"f "<<ID+0<<" "<<ID+1<<" "<<ID+6<<" "<<ID+5<<std::endl;            
      out<<"f "<<ID+1<<" "<<ID+2<<" "<<ID+7<<" "<<ID+6<<std::endl;            
      out<<"f "<<ID+0<<" "<<ID+3<<" "<<ID+4<<" "<<ID+5<<std::endl;            
      out<<std::endl;
}
randomCubes.cpp0000664000175000017500000000660512465673665014735 0ustar  maxxximummaxxximum/*
 * Compile and run this file to generate random cubes
 * input: from text file specs.txt
 *        format: #no of entries \n
 *                length1 m1 sigmaX1 sigmaY1\n
 *                .
 *                .
 * output:randomcubes.svg - contains 2d floor map of cubes
 *        randomcubes.obj - obj file created using the floor map
 * Author:Mahendra Chouhan(14CS60R12)
 * */

#include <iostream>
#include <fstream>
#include <stdlib.h>

#include "graphics.cpp"

using namespace std;

struct Specs{
        int length;
        int m;
        float sigX;
        float sigY;
    };
/*extracts cube specification from input stream*/     
Specs getSpecs(ifstream &in)
{
      Specs s;
      in>>s.length>>s.m>>s.sigX>>s.sigY;
      return s;  
}    


int main()
{
      srand(time(NULL));
      
      
      vector<Cube> World;//Cubes are added to world after placment :P
      vector<Cube> Cubes;
      vector<Cube> conflicts;//stores the current conflicts i.e collisions
      
      Point2D Mean(250,250);
      ofstream out("randomCubes.svg");
      out<<"<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\" height=\"1000\" width=\"1000\">\n";

      ifstream in("specs.txt");
      int size = 0;
      in>>size;
    
    //~ for all different cube specs
      for(int i = 0;i<size;++i)
      {
            Specs S = getSpecs(in); //Get Specs
            for(int j = 0;j<S.m;++j)
                Cubes.push_back(Cube(S.length));
            //~ Generate Cubes
            //~ Check for collision and push the cubes in world :D
            for(vector<Cube>::iterator it = Cubes.begin();it != Cubes.end();++it)
            {
                  Point3D P = getGaussianDistri(S.sigX,S.sigY,Mean);
                  P.z = S.length/2;    
                  (*it).Move(P);
                  (*it).Rotate(0,0,rand()%180);
                  cout<<"writing:("<<P.x<<","<<P.y<<")"<<endl;
                  int counter = 0;
                  while( CheckCollision(World,*it,conflicts ) ) 
                  {
                        P = HandleCollision(World,*it,conflicts);  
                        P.z = S.length/2;
                        (*it).Rotate(0,0,rand()%180);
                        (*it).Move(P);
                        cout<<"!!Collision Detected!!["<<conflicts.size()<<"]\tRelocating Using Handler("<<P.x<<","
                        <<P.y<<")"<<endl;
                        if(counter++ > 5) break;
                  }
                  while( CheckCollision(World,*it,conflicts ) )
                  {
                        P = getGaussianDistri(S.sigX,S.sigY,Point2D(250,250));
                        P.z = S.length/2;
                        (*it).Rotate(0,0,rand()%180);
                        (*it).Move(P);
                        cout<<"!!Collision Detected!!["<<conflicts.size()<<"]\tRelocating Using Gaussian("<<P.x<<","
                        <<P.y<<")"<<endl;
                  }

                  World.push_back(*it);
                  (*it).write(out);
                  out<<fflush;
                  cout<<"written:("<<P.x<<","<<P.y<<")"<<endl;
            }
            Cubes.clear();    
      }
    
      out<<"</svg>\n";
      out.close();
      in.close();            
      
      int ID = 1;
      out.open("randomCubes.obj");
      for(vector<Cube>::iterator it = World.begin();it != World.end();++it)
      {
          (*it).writeObj(out,ID);
          ID += 8;
      }
      out.close();
      return 0;
}
Point3D.cpp0000664000175000017500000000605012465663461013736 0ustar  maxxximummaxxximum/*
 *  Contains Point3d class and wrappers for writing points to file(.svg)
 *  Author: Mahendra Chouhan(14CS60R12)
 * */
#include <iostream>
#include <math.h>
#include <fstream>
#include <stdlib.h>
#include <vector>


double Rad(float Deg) 
{
	return (3.14*Deg/180);
}

typedef struct Point3D Vector;

struct Point3D
{
	float x;
	float y;
	float z;
	Point3D() { x = y = z = 0; }
	Point3D(int X,int Y,int Z) { x = X;y = Y;z = Z;}
	Point3D * Multiply(float Matrix[][4]);
	Point3D  X(Point3D p1);
	Point3D operator +(const Point3D &p1)
	{
		return Point3D(p1.x+x,p1.y+y,p1.z+z);
	}
      Point3D add(int X,int Y,int Z)
      {
        x+=X,y+=Y,z+=Z;
        return *this;
      }

      //~ dot product
      float operator *(const Point3D &P2) {
            return x*P2.x + y*P2.y + z*P2.z;
      }

      Point3D operator -(const Point3D &P)
      {
            return Point3D(x-P.x,y-P.y,z-P.z);
      }
      Point3D operator *(const float mul)
      {     
            return Point3D(x*mul,y*mul,z*mul);
      }
      bool operator <(const Point3D &P) const
      {
            return ( x < P.x);
      }

      friend std::ofstream & operator <<(std::ofstream &out,const Point3D &P)
      {
            out<<P.x<<" "<<P.y<<" "<<P.z;
            return out;
      }

      float angleX()
      {
        return atan2f(y,x);
      }
      float angleY()
      {
        return atan2f(x,y);
      }
    
};

Point3D Point3D::X(Point3D p)
{
	float X = y*p.z - p.y*z,
	      Y = -x*p.z + p.x*z,
	      Z = x*p.y - p.x*y;
	return Point3D(X,Y,Z);
}

Point3D * Point3D::Multiply(float  Matrix[][4])
{
	float temp[4] = {0};
	for(int i = 0;i<4;++i)
		temp[i] = x*Matrix[i][0] + y*Matrix[i][1] + z*Matrix[i][2];
	
    x = temp[0];y = temp[1]; z = temp[2];
    return this;
}

typedef struct Point2D Vector2D;
struct Point2D:Point3D
{
        Point2D(int X = 0,int Y=0)
        {  x = X;y = Y; z = 0;}
        Point2D(const Point3D &P)
        { x = P.x;y = P.y;z = 0;}
        
        //@returns magnitude of vector
        float mod()
        {
            return sqrt( x*x + y*y);
        }
        //Returns angle between two vectors    
        float operator ^(Point2D &P)
        {
            Point2D p = *this;
            return acosf( p*P/(p.mod() * P.mod()) ); 
        }
        
};

void writeLine(Point2D p1,Point2D p2,std::ofstream &out)
{	
	out<<"\n\t<line x1 = \""<<p1.x
	<<"\" y1 = \""<<p1.y 
	<<"\" x2 = \""<<p2.x
	<<"\" y2 = \""<<p2.y
	<<"\" style=\"stroke:rgb(255,0,0);stroke-width:2\" />\n";
}

void writeLines(std::vector<Point2D> &P,std::ofstream &out)
{
        for(std::vector<Point2D>::iterator it = P.begin();it != (P.end()-1);++it)
            writeLine(*it,*(it+1),out);
        //~ writeLine(P.front(),P.back(),out);            
}

void writePoint(Point2D P,std::ofstream &out)
{
	out<<"\n\t<circle cx = \""<<P.x
	<<"\" cy = \""<<P.y 
	<<"\" r = \""<<2
	<<"\" stroke = \"black\" stroke-width = \"3\" />\n";
}

void writePoints(std::vector<Point2D> &P,std::ofstream &out)
{
        for(std::vector<Point2D>::iterator it = P.begin();it != P.end();++it)
            writePoint(*it,out);
}
graphics.cpp0000664000175000017500000000430712465670703014256 0ustar  maxxximummaxxximum/*
 * Graphics Library for my projects :P
 * Author: Mahendra Chouhan (14CS60R12)
 * */
#include <stdlib.h>
#include <time.h> 
#include <math.h>
#include "Shape.cpp"

//~ TODO: Generate gaussian distrubution
Point3D getGaussianDistri(float sigX,float sigY,Point2D mean)
{
        Point3D P;
        
        double x = 0,y = 0,s = 0;
        do
        {
            x = rand() % 2000,y = rand() % 2000;
            x = x/1000;y = y/1000;
            s = x*x + y*y;            
        } while(s >= 1 || s == 0);   
        double Multi = sqrt( -2.0 * log(s) / s); 
        x*=Multi;y*=Multi;
        P.x = mean.x + sigX*x;P.y = mean.y + sigY*y;
                
        //@std::cout<<"\nGaussian("<<x<<","<<y<<","<<s<<","<<Multi<<","<<log(s)<<")\n";
        //@P.x = rand() % 900+50;P.y = rand() % 900+50;
        return P;
}
//conflicts contain objects in world colliding with C 
bool CheckCollision(std::vector<Cube> &world,Cube C,std::vector<Cube> &conflicts)
{
      conflicts.clear();
      Cube c1,c2;
      C.getAbsolutes(c1);
      bool flag = false;
      //~ for now the cubes are laying on floor so compare bottom faces i.e face[1] only
      for(std::vector<Cube>::iterator it =  world.begin();it != world.end();++it)
      {
            (*it).getAbsolutes(c2);
            if( c1.Faces[1].CheckCollision(c2.Faces[1])) 
            {
                  flag = true;
                  conflicts.push_back(c2);
            }
      }
      return flag;
}
//@conflicts contain absolute values
Point2D HandleCollision(std::vector<Cube> &world,Cube C,std::vector<Cube> &conflicts)
{
      Cube temp;
      C.getAbsolutes(temp);
      Rect R1 = temp.Faces[1];
      Vector direction;
      for(int i = 0;i<conflicts.size();++i)
      {
            Rect R2 = conflicts[i].Faces[1];
            Vector2D dir = R1.origin - R2.origin;
            Vector2D r1 = R1.Points[0] - R1.origin,
                        r2 = R2.Points[0] - R2.origin;
            float mul = (r1.mod()+r2.mod())/dir.mod();
            dir = dir*mul*1.0;
            dir = R2.origin + dir;
            if( i == 0) direction = dir;
            else direction = direction + dir;//vector addition to calculate resultant dir
      }                  
      return direction;
}
randomCubes.svg0000664000175000017500000006700612465674073014746 0ustar  maxxximummaxxximum<svg xmlns="http://www.w3.org/2000/svg" version="1.1" height="1000" width="1000">

	<line x1 = "611" y1 = "299" x2 = "689" y2 = "588" style="stroke:rgb(255,0,0);stroke-width:2" />

	<line x1 = "689" y1 = "588" x2 = "399" y2 = "666" style="stroke:rgb(255,0,0);stroke-width:2" />

	<line x1 = "399" y1 = "666" x2 = "321" y2 = "377" style="stroke:rgb(255,0,0);stroke-width:2" />

	<line x1 = "611" y1 = "299" x2 = "321" y2 = "377" style="stroke:rgb(255,0,0);stroke-width:2" />

	<circle cx = "505" cy = "482" r = "2" stroke = "black" stroke-width = "3" />
1
	<line x1 = "355" y1 = "331" x2 = "205" y2 = "328" style="stroke:rgb(255,0,0);stroke-width:2" />

	<line x1 = "205" y1 = "328" x2 = "208" y2 = "178" style="stroke:rgb(255,0,0);stroke-width:2" />

	<line x1 = "208" y1 = "178" x2 = "358" y2 = "181" style="stroke:rgb(255,0,0);stroke-width:2" />

	<line x1 = "355" y1 = "331" x2 = "358" y2 = "181" style="stroke:rgb(255,0,0);stroke-width:2" />

	<circle cx = "282" cy = "255" r = "2" stroke = "black" stroke-width = "3" />
1
	<line x1 = "548" y1 = "307" x2 = "404" y2 = "349" style="stroke:rgb(255,0,0);stroke-width:2" />

	<line x1 = "404" y1 = "349" x2 = "362" y2 = "205" style="stroke:rgb(255,0,0);stroke-width:2" />

	<line x1 = "362" y1 = "205" x2 = "506" y2 = "163" style="stroke:rgb(255,0,0);stroke-width:2" />

	<line x1 = "548" y1 = "307" x2 = "506" y2 = "163" style="stroke:rgb(255,0,0);stroke-width:2" />

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