RNBoolean R3Contains(const R3Point& point1, const R3Point& point2)
{
// Return whether point1 and point2 are equal to within tolerance
return (RNIsEqual(point1.X(), point2.X()) &&
RNIsEqual(point1.Y(), point2.Y()) &&
RNIsEqual(point1.Z(), point2.Z()));
}
RNBoolean R3Contains(const R3Vector& vector1, const R3Vector& vector2)
{
// Return whether vector1 and vector2 are equal within tolerance
return (RNIsEqual(vector1.X(), vector2.X()) &&
RNIsEqual(vector1.Y(), vector2.Y()) &&
RNIsEqual(vector1.Z(), vector2.Z()));
}
RNLength R2SignedDistance(const R2Line& line1, const R2Line& line2)
{
// Return signed distance from line to line
RNScalar dot = line1.Vector().Dot(line2.Vector());
if (RNIsEqual(dot, 1.0)) return (line1.C() - line2.C());
else if (RNIsEqual(dot, -1.0)) return (line1.C() + line2.C());
else return 0.0;
}
RNBoolean R3Contains(const R3Halfspace& halfspace1, const R3Halfspace& halfspace2)
{
// Return whether halfspace1 contains halfspace2
RNScalar dot = halfspace1.Plane().Normal().Dot(halfspace2.Plane().Normal());
if (RNIsEqual(dot, 1.0)) {
// Halfspace and plane are parallel ???
return RNIsLessOrEqual(halfspace1.Plane().D(), halfspace2.Plane().D());
}
else {
// Halfspace and plane are not parallel
return FALSE;
}
}
RNBoolean R3Parallel(const R3Vector& vector1, const R3Vector& vector2)
{
// Return whether two vectors are coincident (or anti-coincident)
if ((RNIsEqual(vector1.X(), vector2.X())) &&
(RNIsEqual(vector1.Y(), vector2.Y())) &&
(RNIsEqual(vector1.Z(), vector2.Z()))) return TRUE;
if ((RNIsEqual(vector1.X(), -vector2.X())) &&
(RNIsEqual(vector1.Y(), -vector2.Y())) &&
(RNIsEqual(vector1.Z(), -vector2.Z()))) return TRUE;
return FALSE;
}
RNBoolean R3Contains(const R3Plane& plane1, const R3Plane& plane2)
{
// Return whether plane1 and plane2 are equal within tolerance
return (R3Contains(plane1.Normal(), plane2.Normal()) &&
RNIsEqual(plane1.D(), plane2.D()));
}
