Test whether the plane with the general plane equation <i>a*x + b*y + c*z + d = 0</i> intersects the moving sphere with center
<code>(cX, cY, cZ)</code>, <code>radius</code> and velocity <code>(vX, vY, vZ)</code>, and store the point of intersection
in the <code>(x, y, z)</code> components of the supplied vector and the time of intersection in the w component.
<p>
The normal vector <code>(a, b, c)</code> of the plane equation needs to be normalized.
<p>
Reference: Book "Real-Time Collision Detection" chapter 5.5.3 "Intersecting Moving Sphere Against Plane"
@param a
the x factor in the plane equation
@param b
the y factor in the plane equation
@param c
the z factor in the plane equation
@param d
the constant in the plane equation
@param cX
the x coordinate of the center position of the sphere at t=0
@param cY
the y coordinate of the center position of the sphere at t=0
@param cZ
the z coordinate of the center position of the sphere at t=0
@param radius
the sphere's radius
@param vX
the x component of the velocity of the sphere
@param vY
the y component of the velocity of the sphere
@param vZ
the z component of the velocity of the sphere
@param pointAndTime
will hold the point and time of intersection (if any)
@return <code>true</code> iff the sphere intersects the plane; <code>false</code> otherwise
Test whether the plane with the general plane equation <i>a*x + b*y + c*z + d = 0</i> intersects the moving sphere with center <code>(cX, cY, cZ)</code>, <code>radius</code> and velocity <code>(vX, vY, vZ)</code>, and store the point of intersection in the <code>(x, y, z)</code> components of the supplied vector and the time of intersection in the w component. <p> The normal vector <code>(a, b, c)</code> of the plane equation needs to be normalized. <p> Reference: Book "Real-Time Collision Detection" chapter 5.5.3 "Intersecting Moving Sphere Against Plane"
@param a the x factor in the plane equation @param b the y factor in the plane equation @param c the z factor in the plane equation @param d the constant in the plane equation @param cX the x coordinate of the center position of the sphere at t=0 @param cY the y coordinate of the center position of the sphere at t=0 @param cZ the z coordinate of the center position of the sphere at t=0 @param radius the sphere's radius @param vX the x component of the velocity of the sphere @param vY the y component of the velocity of the sphere @param vZ the z component of the velocity of the sphere @param pointAndTime will hold the point and time of intersection (if any) @return <code>true</code> iff the sphere intersects the plane; <code>false</code> otherwise