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cyl.c
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include "geom.h"
#include "common.h"
#include "input.h"
typedef struct
{
point start,end;
CORD_TYPE rad;
} cyl;
void* readCyl()
{
point p;
cyl* c;
c = malloc(sizeof(cyl));
p.x = readDouble();
p.y = readDouble();
p.z = readDouble();
c->start = p;
p.x = readDouble();
p.y = readDouble();
p.z = readDouble();
c->end = p;
c->rad = readDouble();
return c;
}
int pointInCyl(point pt, void* sol)
{
cyl* c = sol;
return (distPoint2Line(pt,c->start,c->end) < c->rad);
}
int segCylCut(seg s, void* sol, point* in, vec* n)
{
vec u,v;
cyl cy;
CORD_TYPE a,b,c;
CORD_TYPE disc;
CORD_TYPE alpha;
point tp;
cy = *(cyl*)sol;
u = crossProduct(points2vec(cy.start,cy.end),points2vec(cy.start,s.p));
v = crossProduct(points2vec(cy.start,cy.end),points2vec(s.p,s.q));
a = vecModulus2(v);
b = 2 * dotProduct(u,v);
c = vecModulus2(u) - cy.rad*cy.rad*vecModulus2(points2vec(cy.start,cy.end));
disc = b*b - 4*a*c;
if(disc < 0)
return 0;
disc = sqrt(disc);
alpha = (-b - disc)/(2*a);
if(alpha*(1-alpha) >= 0)
{
tp = vecLinComb(1-alpha,s.p,alpha,s.q);
if(in != NULL) *in = tp;
if(n != NULL) *n = orthogonalize(points2vec(cy.start,tp),points2vec(cy.start,cy.end));
return 1;
}
alpha = (-b + disc)/(2*a);
if(alpha*(1-alpha) >= 0)
{
tp = vecLinComb(1-alpha,s.p,alpha,s.q);
if(in != NULL) *in = tp;
if(n != NULL) *n = orthogonalize(points2vec(cy.start,tp),points2vec(cy.start,cy.end));
return 1;
}
return 0;
}
int segCylCutAll(seg s, void* sol, point* in, vec* n)
{
vec u,v;
cyl cy;
CORD_TYPE a,b,c;
CORD_TYPE disc;
CORD_TYPE alpha;
point tp;
int count = 0;
cy = *(cyl*)sol;
u = crossProduct(points2vec(cy.start,cy.end),points2vec(cy.start,s.p));
v = crossProduct(points2vec(cy.start,cy.end),points2vec(s.p,s.q));
a = vecModulus2(v);
b = 2 * dotProduct(u,v);
c = vecModulus2(u) - cy.rad*cy.rad*vecModulus2(points2vec(cy.start,cy.end));
disc = b*b - 4*a*c;
if(disc < 0)
return 0;
disc = sqrt(disc);
alpha = (-b - disc)/(2*a);
if(alpha*(1-alpha) >= 0)
{
tp = vecLinComb(1-alpha,s.p,alpha,s.q);
if(in != NULL) in[count] = tp;
if(n != NULL) n[count] = orthogonalize(points2vec(cy.start,tp),points2vec(cy.start,cy.end));
count++;
}
alpha = (-b + disc)/(2*a);
if(alpha*(1-alpha) >= 0)
{
tp = vecLinComb(1-alpha,s.p,alpha,s.q);
if(in != NULL) in[count] = tp;
if(n != NULL) n[count] = orthogonalize(points2vec(cy.start,tp),points2vec(cy.start,cy.end));
count++;
}
return count;
}