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c语言直线和椭圆的交点,直线与椭圆相交求交点
#include
#include
#include
void main()
{
double a,b,c,x1,x2,y1,y2,k,j;
printf("\nplease input a,b:\n");
scanf("%lf%lf",&a,&b);
printf("\nplease input x1,y1,x2,y2\n");
scanf("%lf%lf%lf%lf",&x1,&y1,&x2,&y2);
k=(y1-y2)/(x1-x2);
c=y1-k*x1;
j=(2*a*a*k*c)*(2*a*a*k*c)-4*(b*b+a*a*k*k)*a*a*(c*c-b*b);
if(j<0)
printf("\nthe line don't intersect with the ellipse");
else
if(j==0)
{
x1=-2*k*c*a*a/(2*(b*b+a*a*k*k));
y1=k*x1+c;
printf("\nthe line and ellipse intersect at\n(%lf,%lf)",x1,y1);
}
else
{
x1=(-2*k*c*a*a+sqrt(j))/(2*(b*b+a*a*k*k));
y1=k*x1+c;
x2=(-2*k*c*a*a-sqrt(j))/(2*(b*b+a*a*k*k));
y2=k*x2+c;
printf("\nthe line and ellipse intersect at\n(%lf,%lf) and (%lf,%lf)",x1,y1,x2,y2);
}
getch();
} |
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