public static bool Intersects(Ray2BR a, Segment2BR b)
{
if (a.direction.IsZero)
{
return(b.Contains(a.origin));
}
Vector2BR v = new Vector2BR(-a.Direction.Y, a.Direction.X);
if (Vector2BR.DotProduct(b.Start - a.Origin, v).IsPositive == Vector2BR.DotProduct(b.End - a.Origin, v).IsPositive)
{
return(false);
}
if (b.Start == b.End)
{
return(a.Contains(b.Start));
}
Vector2BR delta = b.GetDelta();
BigRational bigRational1 = a.Direction.X * delta.Y - a.Direction.Y * delta.X;
if (bigRational1.IsZero)
{
return(false);
}
Vector2BR u = b.Start - a.Origin;
BigRational bigRational2 = Vector2BR.CrossProduct(u, delta);
if (bigRational1.IsPositive)
{
if (bigRational2.IsNegative)
{
return(false);
}
}
else if (bigRational2.IsPositive)
{
return(false);
}
BigRational bigRational3 = Vector2BR.CrossProduct(u, a.Direction);
if (bigRational1.IsPositive)
{
if (bigRational3.IsNegative || bigRational3 > bigRational1)
{
return(false);
}
}
else if (bigRational3.IsPositive || bigRational3 < bigRational1)
{
return(false);
}
BigRational bigRational4 = bigRational3 / bigRational1;
BigRational bigRational5 = bigRational2 / bigRational1;
return(true);
}
public static bool Intersects(Segment2BR segment1, Segment2BR segment2)
{
if (segment1.point2BR_0 == segment1.point2BR_1)
{
return(segment2.Contains(segment1.point2BR_0));
}
Vector2BR v1 = segment1.point2BR_1 - segment1.point2BR_0;
Vector2BR u1 = segment2.Start - segment1.point2BR_0;
Vector2BR u2 = segment2.End - segment1.point2BR_0;
Vector2BR v2 = new Vector2BR(-v1.Y, v1.X);
BigRational bigRational1 = Vector2BR.DotProduct(u1, v2);
BigRational bigRational2 = Vector2BR.DotProduct(u2, v2);
if (bigRational1.IsPositive && bigRational2.IsPositive || bigRational1.IsNegative && bigRational2.IsNegative)
{
return(false);
}
BigRational a = Vector2BR.DotProduct(u1, v1);
BigRational b = Vector2BR.DotProduct(u2, v1);
BigRational bigRational3 = b - a;
if (bigRational3.IsZero)
{
BigRational bigRational4 = a;
if (bigRational4.IsNegative)
{
return(false);
}
return(bigRational4.Square() <= v1.GetLengthSquared());
}
BigRational bigRational5 = bigRational2 - bigRational1;
if (bigRational5.IsZero)
{
if (BigMath.Max(a, b).IsNegative)
{
return(false);
}
return(BigMath.Min(a, b).Square() <= v1.GetLengthSquared());
}
BigRational bigRational6 = bigRational3 / bigRational5;
BigRational bigRational7 = a - bigRational1 * bigRational6;
if (bigRational7.IsNegative)
{
return(false);
}
return(bigRational7.Square() < v1.GetLengthSquared());
}
public static bool GetIntersectionCoefficients(
Ray2BR a,
Segment2BR b,
out BigRational?p,
out BigRational?q,
out bool areParallel)
{
if (a.direction.IsZero)
{
areParallel = false;
p = new BigRational?();
bool flag;
if (flag = b.Contains(a.origin))
{
Vector2BR delta = b.GetDelta();
q = new BigRational?(Vector2BR.DotProduct(a.origin - b.Start, delta) / delta.GetLengthSquared());
}
else
{
q = new BigRational?();
}
return(flag);
}
Vector2BR v = new Vector2BR(-a.direction.Y, a.direction.X);
Vector2BR u = b.Start - a.Origin;
BigRational bigRational1 = Vector2BR.DotProduct(u, v);
BigRational bigRational2 = Vector2BR.DotProduct(b.End - a.Origin, v);
if (bigRational1.IsPositive && bigRational2.IsPositive || bigRational1.IsNegative && bigRational2.IsNegative)
{
p = new BigRational?();
q = new BigRational?();
areParallel = false;
return(false);
}
Vector2BR delta1 = b.GetDelta();
if (delta1.IsZero)
{
areParallel = false;
p = new BigRational?(Vector2BR.DotProduct(u, a.direction) / a.direction.GetLengthSquared());
q = new BigRational?(BigRational.Zero);
return(true);
}
BigRational bigRational3 = a.Direction.X * delta1.Y - a.Direction.Y * delta1.X;
if (bigRational3.IsZero)
{
p = new BigRational?();
q = new BigRational?();
areParallel = true;
return(true);
}
areParallel = false;
BigRational bigRational4 = Vector2BR.CrossProduct(u, delta1);
if (bigRational3.IsPositive)
{
if (bigRational4.IsNegative)
{
p = new BigRational?();
q = new BigRational?();
return(false);
}
}
else if (bigRational4.IsPositive)
{
p = new BigRational?();
q = new BigRational?();
return(false);
}
BigRational bigRational5 = Vector2BR.CrossProduct(u, a.Direction);
if (bigRational3.IsPositive)
{
if (bigRational5.IsNegative || bigRational5 > bigRational3)
{
p = new BigRational?();
q = new BigRational?();
return(false);
}
}
else if (bigRational5.IsPositive || bigRational5 < bigRational3)
{
p = new BigRational?();
q = new BigRational?();
return(false);
}
p = new BigRational?(bigRational4 / bigRational3);
q = new BigRational?(bigRational5 / bigRational3);
return(true);
}