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geometry.CPP
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geometry.CPP
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#include "geometry.h"
Point::Point(){ x = y = h = 0.0;}
Point::Point(double setx, double sety){ x = setx; y = sety; h = 0.0; }
Point::Point(double setx, double sety, double seth){ x = setx; y = sety; h = seth; }
void Point::Draw(GColor pcolor)
{
glPushMatrix();
glTranslatef(x, y, 0.15);
switch(pcolor)
{
case Gwhite:
glColor3f(1.0, 1.0, 1.0);
break;
case Gblack:
glColor3f(0.0, 0.0, 0.0);
break;
case Gblue:
glColor3f(0.0, 0.0, 1.0);
break;
case Gyellow:
glColor3f(1.0, 0.0, 1.0);
break;
case Gred:
glColor3f(1.0, 0.0, 0.0);
break;
case Gcyan:
glColor3f(0.0, 1.0, 1.0);
break;
case Gmagenta:
glColor3f(1.0, 0.0, 1.0);
break;
default:
glColor3f(1.0, 1.0, 1.0);
break;
}
glutSolidSphere(0.04, 5, 5);
glPopMatrix();
}
Segment::Segment(Point _P1, Point _P2)
{
P1=_P1;
P2=_P2;
}
Point Segment::GetP1() { return P1;}
Point Segment::GetP2() { return P2;}
float Segment::GetRo() { return sqrt(((P1.x-P2.x)*(P1.x-P2.x))+((P1.y-P2.y)*(P1.y-P2.y)));}
float Segment::GetTheta() {return atan2(P2.y-P1.y, P2.x-P1.x);}
Point Segment::middle()
{
return Point(P1.x+(P2.x-P1.x)/2.0, P1.y+(P2.y-P1.y)/2.0);
}
/********************Non Funziona Bene**********************************/
bool Segment::Has_on_it(Point p)
{
Segment tmp(P1, p);
if(tmp.GetRo()<=GetRo() && tmp.GetTheta()==GetTheta())
return true;
else
return false;
}
void Segment::Draw(GColor scolor=Gblack)
{
glPushMatrix();
glTranslatef(0.0, 0.0, 0.15);
switch(scolor)
{
case Gwhite:
glColor3f(1.0, 1.0, 1.0);
break;
case Gblack:
glColor3f(0.0, 0.0, 0.0);
break;
case Gblue:
glColor3f(0.0, 0.0, 1.0);
break;
case Gyellow:
glColor3f(1.0, 0.0, 1.0);
break;
case Gred:
glColor3f(1.0, 0.0, 0.0);
break;
case Gcyan:
glColor3f(0.0, 1.0, 1.0);
break;
case Gmagenta:
glColor3f(1.0, 0.0, 1.0);
break;
default:
glColor3f(1.0, 1.0, 1.0);
break;
}
glLineWidth(2.0);
glBegin(GL_LINE_STRIP);
glVertex3f(P1.x, P1.y, 0.0);
glVertex3f(P2.x, P2.y, 0.0);
glEnd();
glPopMatrix();
}
Line::Line(float _m=0.0, float _q=0.0)
{
m=_m;
q=_q;
}
Line::Line(Point P1, Point P2)
{
m=(P2.y-P1.y)/(P2.x-P1.x);
q=P1.y-P1.x*m;
}
Line::Line(Segment S)
{
m=(S.GetP2().y-S.GetP1().y)/(S.GetP2().x-S.GetP1().x);
q=S.GetP1().y-S.GetP1().x*m;
}
Line::Line(Segment *S)
{
m=(S->GetP2().y-S->GetP1().y)/(S->GetP2().x-S->GetP1().x);
q=S->GetP1().y-S->GetP1().x*m;
}
Line::Line(Point P, GVector *V)
{
m=V->GetY()/V->GetX();
q=P.y-P.x*m;
}
Line Line::ortho(Point P)
{
Line L;
if(m!=0.0)
L.m=-1.0/m;
else
L.m=99999.0;
L.q=P.y-P.x*L.m;
return L;
}
Line Line:: parallel(Point P)
{
Line L;
L.m=m;
L.q=P.y-P.x*L.m;
return L;
}
float Line::Get_m() { return m; }
float Line::Get_q() { return q; }
void Line::Draw(GColor lcolor=Gblack)
{
Point P1(-10.0, -10.0*m+q);
Point P2(10.0, 10.0*m+q);
glPushMatrix();
glTranslatef(0.0, 0.0, 0.15);
switch(lcolor)
{
case Gwhite:
glColor3f(1.0, 1.0, 1.0);
break;
case Gblack:
glColor3f(0.0, 0.0, 0.0);
break;
case Gblue:
glColor3f(0.0, 0.0, 1.0);
break;
case Gyellow:
glColor3f(1.0, 0.0, 1.0);
break;
case Gred:
glColor3f(1.0, 0.0, 0.0);
break;
case Gcyan:
glColor3f(0.0, 1.0, 1.0);
break;
case Gmagenta:
glColor3f(1.0, 0.0, 1.0);
break;
default:
glColor3f(1.0, 1.0, 1.0);
break;
}
glLineWidth(2.0);
glBegin(GL_LINE_STRIP);
glVertex3f(P1.x, P1.y, 0.0);
glVertex3f(P2.x, P2.y, 0.0);
glEnd();
glPopMatrix();
}
Point interception (Line L1, Line L2)
{
if(L1.Get_m()==L2.Get_m())
return Point(FORA, FORA);
else
{
float x=(L2.Get_q()-L1.Get_q())/(L1.Get_m()-L2.Get_m());
float y=L1.Get_m()*x+L1.Get_q();
return Point(x, y);
}
}
Point interception (Line *L1, Line *L2)
{
if(L1->Get_m()==L2->Get_m())
return Point(FORA, FORA);
else
{
float x=(L2->Get_q()-L1->Get_q())/(L1->Get_m()-L2->Get_m());
float y=L1->Get_m()*x+L1->Get_q();
return Point(x, y);
}
}
/*************** funzione appartenenza di un punto a un segmento ****************/
bool point_on_segment(Point p, Segment s)
{
/* retta contenente il segmento */
Line segline(s);
/* controlla se il punto appartiene alla retta contenente il segmento */
if(p.y=segline.Get_m()*p.x+segline.Get_q())
/* in tal caso controlla che il punto non abbia distanza dal centro
del segmento maggiore di metà modulo del segmento stesso */
if(sqrt((p.x-s.middle().x)*(p.x-s.middle().x)+(p.y-s.middle().y)*(p.y-s.middle().y))<s.GetRo()/2.0)
return true;
return false;
}
/*************** funzione distanza punto-segmento *****************/
float Dist(Point p, Segment s)
{
/* retta contenente il segmento */
Line segline(s);
/* retta ortogonale alla precedente passante per p */
Line ortholine=segline.ortho(p);
/* punto di intersezione fra le rette precedenti */
Point cross=interception(segline, ortholine);
/* se il punto di intersezione sta sul segmento ritorna la distanza di tale punto da p */
if(point_on_segment(cross, s))
return sqrt((p.x-cross.x)*(p.x-cross.x)+(p.y-cross.y)*(p.y-cross.y));
/* altrimenti ritorna la distanza fra p e l'estremo del segmento più vicino a p */
else
{
float d1=sqrt((p.x-s.GetP1().x)*(p.x-s.GetP1().x)+(p.y-s.GetP1().y)*(p.y-s.GetP1().y));
float d2=sqrt((p.x-s.GetP2().x)*(p.x-s.GetP2().x)+(p.y-s.GetP2().y)*(p.y-s.GetP2().y));
return d1<d2 ? d1 : d2;
}
}