| 1 |
|
1 |
/*****************************************************************
|
| 2 |
|
|
|
| 3 |
|
|
geo_int_elli_plane.c Type:Func
|
| 4 |
|
|
|
| 5 |
|
|
Intersection ellipse plane
|
| 6 |
|
|
|
| 7 |
|
|
Date de creation : Tue Jul 8 09:37:23 1997
|
| 8 |
|
|
|
| 9 |
|
|
Derniere version : Wed Jul 9 16:24:46 1997
|
| 10 |
|
|
|
| 11 |
|
|
|
| 12 |
|
|
|
| 13 |
|
|
Vincent FRANCOIS
|
| 14 |
|
|
|
| 15 |
|
|
*****************************************************************/
|
| 16 |
|
|
|
| 17 |
|
|
|
| 18 |
|
|
|
| 19 |
|
|
|
| 20 |
|
|
|
| 21 |
|
|
/**************************/
|
| 22 |
|
|
/* include */
|
| 23 |
|
|
#include <stdio.h>
|
| 24 |
|
|
#include <string.h>
|
| 25 |
|
|
#include <math.h>
|
| 26 |
|
|
#include "const.h"
|
| 27 |
|
|
#include "memoire.h"
|
| 28 |
|
|
#include "struct.h"
|
| 29 |
|
|
#include "prototype.h"
|
| 30 |
|
|
|
| 31 |
|
|
|
| 32 |
|
|
|
| 33 |
|
|
/**************************/
|
| 34 |
|
|
/* variables globales */
|
| 35 |
|
|
|
| 36 |
|
|
|
| 37 |
|
|
|
| 38 |
|
|
/**************************/
|
| 39 |
|
|
/* programme principal */
|
| 40 |
|
|
|
| 41 |
|
|
int geo_int_elli_plane(struct s_edge *edge,struct s_ellipse *ellipse,float x1,float y1,float z1,float x2,float y2,float z2,float x3,float y3,float z3,float *x,float *y ,float *z)
|
| 42 |
|
|
{
|
| 43 |
|
|
struct s_par_ellipse *param;
|
| 44 |
|
|
float A,B,C,resu,res[3],rad,ox[3],oy[3],oz[4],cteta,steta,teta,alpha,t1,t2,coord[3],tt,ttt,delta;
|
| 45 |
|
|
int sol1,sol2,n1,n2;
|
| 46 |
|
|
int nb_sol;
|
| 47 |
|
|
|
| 48 |
|
|
param=ellipse->param;
|
| 49 |
|
|
/* definition du plan */
|
| 50 |
|
|
ox[0]=x2-x1;ox[1]=y2-y1;ox[2]=z2-z1;
|
| 51 |
|
|
oy[0]=x3-x1;oy[1]=y3-y1;oy[2]=z3-z1;
|
| 52 |
|
|
PVEC(oz,ox,oy);
|
| 53 |
|
|
oz[3]=(-oz[0]*x1-oz[1]*y1-oz[2]*z1);
|
| 54 |
|
|
|
| 55 |
|
|
/* resolution */
|
| 56 |
|
|
A=param->a*(oz[0]*param->u[0]+oz[1]*param->u[1]+oz[2]*param->u[2]);
|
| 57 |
|
|
B=param->b*(oz[0]*param->v[0]+oz[1]*param->v[1]+oz[2]*param->v[2]);
|
| 58 |
|
|
C=(-oz[0]*param->centre[0]-oz[1]*param->centre[1]-oz[2]*param->centre[2]-oz[3]);
|
| 59 |
|
|
rad=A*A+B*B;
|
| 60 |
|
|
if (EGAL(rad,0.0,0.0001)) return(0);
|
| 61 |
|
|
rad=(float)sqrt((double)rad);
|
| 62 |
|
|
resu=C/rad;
|
| 63 |
|
|
if (fabs((double)resu)>1.0001) return(0);
|
| 64 |
|
|
if (resu>1.) resu=1.;
|
| 65 |
|
|
if (resu<(-1)) resu=(-1);
|
| 66 |
|
|
cteta=A/rad;
|
| 67 |
|
|
steta=B/rad;
|
| 68 |
|
|
if (cteta>1.) cteta=1.;
|
| 69 |
|
|
if (cteta<(-1)) cteta=(-1);
|
| 70 |
|
|
teta=(float)acos((double)cteta);
|
| 71 |
|
|
if (steta<0.) teta=(-teta);
|
| 72 |
|
|
alpha=(float)acos((double)resu);
|
| 73 |
|
|
t1=teta+alpha;
|
| 74 |
|
|
t2=teta-alpha;
|
| 75 |
|
|
while (t1<edge->t1) t1=t1+2*PI;
|
| 76 |
|
|
while (t2<edge->t1) t2=t2+2*PI;
|
| 77 |
|
|
|
| 78 |
|
|
|
| 79 |
|
|
|
| 80 |
|
|
|
| 81 |
|
|
/* validation de la resolution */
|
| 82 |
|
|
nb_sol=0;
|
| 83 |
|
|
t1=t1-edge->t1;
|
| 84 |
|
|
t2=t2-edge->t1;
|
| 85 |
|
|
|
| 86 |
|
|
if (t1>edge->t2) sol1=0; else sol1=1;
|
| 87 |
|
|
if (t2>edge->t2) sol2=0; else sol2=1;
|
| 88 |
|
|
if ((sol1==0) && (sol2==0)) return(0);
|
| 89 |
|
|
delta=ox[0]*oy[1]-ox[1]*oy[0];
|
| 90 |
|
|
if (EGAL(delta,0.0,0.0001))
|
| 91 |
|
|
{
|
| 92 |
|
|
delta=ox[0]*oy[2]-ox[2]*oy[0];
|
| 93 |
|
|
if (EGAL(delta,0.0,0.0001))
|
| 94 |
|
|
{
|
| 95 |
|
|
delta=ox[1]*oy[2]-ox[2]*oy[1];
|
| 96 |
|
|
n1=1;n2=2;
|
| 97 |
|
|
}
|
| 98 |
|
|
else
|
| 99 |
|
|
{
|
| 100 |
|
|
n1=0;n2=2;
|
| 101 |
|
|
}
|
| 102 |
|
|
}
|
| 103 |
|
|
else
|
| 104 |
|
|
{
|
| 105 |
|
|
n1=0;n2=1;
|
| 106 |
|
|
}
|
| 107 |
|
|
if (sol1==1)
|
| 108 |
|
|
{
|
| 109 |
|
|
eval_ellipse(param,t1+edge->t1,FONCTION,coord);
|
| 110 |
|
|
res[0]=coord[0]-x1;res[1]=coord[1]-y1;res[2]=coord[2]-z1;
|
| 111 |
|
|
tt=(res[n1]*oy[n2]-res[n2]*oy[n1])/delta;
|
| 112 |
|
|
ttt=(ox[n1]*res[n2]-ox[n2]*res[n1])/delta;
|
| 113 |
|
|
if ((tt<-0.0001)||(tt>0.9999)) sol1=0;
|
| 114 |
|
|
if ((ttt<-0.0001)||(ttt>=0.9999)) sol1=0;
|
| 115 |
|
|
}
|
| 116 |
|
|
if (sol1==1)
|
| 117 |
|
|
{
|
| 118 |
|
|
x[nb_sol]=coord[0];
|
| 119 |
|
|
y[nb_sol]=coord[1];
|
| 120 |
|
|
z[nb_sol]=coord[2];
|
| 121 |
|
|
nb_sol++;
|
| 122 |
|
|
}
|
| 123 |
|
|
if (sol2==1)
|
| 124 |
|
|
{
|
| 125 |
|
|
eval_ellipse(param,t2+edge->t1,FONCTION,coord);
|
| 126 |
|
|
res[0]=coord[0]-x1;res[1]=coord[1]-y1;res[2]=coord[2]-z1;
|
| 127 |
|
|
tt=(res[n1]*oy[n2]-res[n2]*oy[n1])/delta;
|
| 128 |
|
|
ttt=(ox[n1]*res[n2]-ox[n2]*res[n1])/delta;
|
| 129 |
|
|
if ((tt<-0.0001)||(tt>=0.9999)) sol2=0;
|
| 130 |
|
|
if ((ttt<-0.0001)||(ttt>=0.9999)) sol2=0;
|
| 131 |
|
|
}
|
| 132 |
|
|
if (sol2==1)
|
| 133 |
|
|
{
|
| 134 |
|
|
x[nb_sol]=coord[0];
|
| 135 |
|
|
y[nb_sol]=coord[1];
|
| 136 |
|
|
z[nb_sol]=coord[2];
|
| 137 |
|
|
nb_sol++;
|
| 138 |
|
|
}
|
| 139 |
|
|
return(nb_sol);
|
| 140 |
|
|
|
| 141 |
|
|
|
| 142 |
|
|
|
| 143 |
|
|
|
| 144 |
|
|
}
|
