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#ifndef PLANE_H
#define PLANE_H
#include "Runtime/Math/Vector3.h"
#include "Runtime/Math/Vector4.h"
#include "Runtime/Serialize/SerializeUtility.h"
// Calculates the unnormalized normal from 3 points
Vector3f CalcRawNormalFromTriangle (const Vector3f& a, const Vector3f& b, const Vector3f& c);
enum{
kPlaneFrustumLeft,
kPlaneFrustumRight,
kPlaneFrustumBottom,
kPlaneFrustumTop,
kPlaneFrustumNear,
kPlaneFrustumFar,
kPlaneFrustumNum,
};
class Plane
{
public:
Vector3f normal;
float distance;
DECLARE_SERIALIZE_OPTIMIZE_TRANSFER (Plane)
const float& a ()const { return normal.x; }
const float& b ()const { return normal.y; }
const float& c ()const { return normal.z; }
const float& d () const { return distance; }
float& d () { return distance; }
const Vector3f& GetNormal ()const{ return normal; }
Plane () { }
Plane (float a, float b, float c, float d) { normal.x = a; normal.y = b; normal.z = c; distance = d; }
Plane& operator *= (float scale);
bool operator == (const Plane& p)const { return normal == p.normal && distance == p.distance; }
bool operator != (const Plane& p)const { return normal != p.normal || distance != p.distance; }
void SetInvalid () { normal = Vector3f::zero; distance = 0.0F; }
// Just sets the coefficients. Does NOT normalize!
void SetABCD (const float a, const float b, const float c, const float d);
void Set3Points (const Vector3f& a, const Vector3f& b, const Vector3f& c);
void Set3PointsUnnormalized (const Vector3f& a, const Vector3f& b, const Vector3f& c);
void SetNormalAndPosition (const Vector3f& inNormal, const Vector3f& inPoint);
float GetDistanceToPoint (const Vector3f& inPt) const;
float GetDistanceToPoint (const Vector4f& inPt) const;
bool GetSide (const Vector3f& inPt) const;
bool SameSide (const Vector3f& inPt0, const Vector3f& inPt1);
void NormalizeRobust ();
void NormalizeUnsafe ();
};
template<class TransferFunction>
inline void Plane::Transfer (TransferFunction& transfer)
{
TRANSFER (normal);
TRANSFER (distance);
}
inline float Plane::GetDistanceToPoint (const Vector3f& inPt)const
{
DebugAssert (IsNormalized (normal));
return Dot (normal, inPt) + distance;
}
// inPt w component is ignored from distance computations
inline float Plane::GetDistanceToPoint (const Vector4f& inPt)const
{
DebugAssert (IsNormalized (normal));
//Dot3 (normal, inPt) + distance;
return normal.x * inPt.x + normal.y * inPt.y + normal.z * inPt.z + distance;
}
// Returns true if we are on the front side (same as: GetDistanceToPoint () > 0.0)
inline bool Plane::GetSide (const Vector3f& inPt) const
{
return Dot (normal, inPt) + distance > 0.0F;
}
// Calculates the normal from 3 points unnormalized
inline Vector3f CalcRawNormalFromTriangle (const Vector3f& a, const Vector3f& b, const Vector3f& c)
{
return Cross (b - a, c - a);
}
inline Vector3f RobustNormalFromTriangle (const Vector3f& v0, const Vector3f& v1, const Vector3f& v2)
{
Vector3f normal = CalcRawNormalFromTriangle (v0, v1, v2);
return NormalizeRobust (normal);
}
inline void Plane::SetABCD (float a, float b, float c, float d)
{
normal.Set(a, b, c);
distance = d;
}
inline void Plane::Set3Points (const Vector3f& a, const Vector3f& b, const Vector3f& c)
{
normal = CalcRawNormalFromTriangle (a, b, c);
normal = ::Normalize (normal);
distance = -Dot (normal, a);
AssertIf (!IsNormalized (normal));
}
inline void Plane::Set3PointsUnnormalized (const Vector3f& a, const Vector3f& b, const Vector3f& c)
{
normal = CalcRawNormalFromTriangle (a, b, c);
distance = -Dot (normal, a);
}
inline void Plane::SetNormalAndPosition (const Vector3f& inNormal, const Vector3f& inPoint)
{
normal = inNormal;
AssertIf (!IsNormalized (normal, 0.001f));
distance = -Dot (inNormal, inPoint);
}
inline bool Plane::SameSide (const Vector3f& inPt0, const Vector3f& inPt1)
{
float d0 = GetDistanceToPoint(inPt0);
float d1 = GetDistanceToPoint(inPt1);
if (d0 > 0.0f && d1 > 0.0f)
return true;
else if (d0 <= 0.0f && d1 <= 0.0f)
return true;
else
return false;
}
inline Plane& Plane::operator *= (float scale)
{
normal *= scale;
distance *= scale;
return *this;
}
inline void Plane::NormalizeUnsafe ()
{
float invMag = 1.0f/Magnitude(normal);
normal *= invMag;
distance *= invMag;
}
// It uses NormalizeRobust(), so it handles zero and extremely small vectors,
// but can be slow. Another option would be to use plain normalize, but
// always remember to check for division by zero with zero vectors.
inline void Plane::NormalizeRobust ()
{
float invMag;
normal = ::NormalizeRobust(normal, invMag);
distance *= invMag;
}
#endif
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