114 lines
4.9 KiB
C++
114 lines
4.9 KiB
C++
///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
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/**
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* Contains code for planes.
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* \file IcePlane.h
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* \author Pierre Terdiman
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* \date April, 4, 2000
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*/
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///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
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///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
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// Include Guard
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#ifndef __ICEPLANE_H__
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#define __ICEPLANE_H__
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#define PLANE_EPSILON (1.0e-7f)
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class ICEMATHS_API Plane
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{
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public:
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//! Constructor
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inline_ Plane() { }
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//! Constructor from a normal and a distance
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inline_ Plane(float nx, float ny, float nz, float d) { Set(nx, ny, nz, d); }
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//! Constructor from a point on the plane and a normal
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inline_ Plane(const Point& p, const Point& n) { Set(p, n); }
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//! Constructor from three points
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inline_ Plane(const Point& p0, const Point& p1, const Point& p2) { Set(p0, p1, p2); }
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//! Constructor from a normal and a distance
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inline_ Plane(const Point& _n, float _d) { n = _n; d = _d; }
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//! Copy constructor
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inline_ Plane(const Plane& plane) : n(plane.n), d(plane.d) { }
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//! Destructor
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inline_ ~Plane() { }
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inline_ Plane& Zero() { n.Zero(); d = 0.0f; return *this; }
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inline_ Plane& Set(float nx, float ny, float nz, float _d) { n.Set(nx, ny, nz); d = _d; return *this; }
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inline_ Plane& Set(const Point& p, const Point& _n) { n = _n; d = - p | _n; return *this; }
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Plane& Set(const Point& p0, const Point& p1, const Point& p2);
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inline_ float Distance(const Point& p) const { return (p | n) + d; }
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inline_ bool Belongs(const Point& p) const { return fabsf(Distance(p)) < PLANE_EPSILON; }
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inline_ void Normalize()
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{
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float Denom = 1.0f / n.Magnitude();
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n.x *= Denom;
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n.y *= Denom;
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n.z *= Denom;
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d *= Denom;
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}
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public:
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// Members
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Point n; //!< The normal to the plane
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float d; //!< The distance from the origin
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// Cast operators
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inline_ operator Point() const { return n; }
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inline_ operator HPoint() const { return HPoint(n, d); }
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// Arithmetic operators
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inline_ Plane operator*(const Matrix4x4& m) const
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{
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// Old code from Irion. Kept for reference.
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Plane Ret(*this);
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return Ret *= m;
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}
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inline_ Plane& operator*=(const Matrix4x4& m)
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{
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// Old code from Irion. Kept for reference.
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Point n2 = HPoint(n, 0.0f) * m;
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d = -((Point) (HPoint( -d*n, 1.0f ) * m) | n2);
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n = n2;
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return *this;
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}
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};
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///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
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/**
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* Transforms a plane by a 4x4 matrix. Same as Plane * Matrix4x4 operator, but faster.
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* \param transformed [out] transformed plane
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* \param plane [in] source plane
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* \param transform [in] transform matrix
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* \warning the plane normal must be unit-length
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*/
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///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
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inline_ void TransformPlane(Plane& transformed, const Plane& plane, const Matrix4x4& transform)
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{
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// Rotate the normal using the rotation part of the 4x4 matrix
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transformed.n = plane.n * Matrix3x3(transform);
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// Compute new d
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transformed.d = plane.d - (Point(transform.GetTrans())|transformed.n);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
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/**
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* Transforms a plane by a 4x4 matrix. Same as Plane * Matrix4x4 operator, but faster.
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* \param plane [in/out] source plane (transformed on return)
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* \param transform [in] transform matrix
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* \warning the plane normal must be unit-length
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*/
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///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
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inline_ void TransformPlane(Plane& plane, const Matrix4x4& transform)
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{
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// Rotate the normal using the rotation part of the 4x4 matrix
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plane.n *= Matrix3x3(transform);
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// Compute new d
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plane.d -= Point(transform.GetTrans())|plane.n;
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}
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#endif // __ICEPLANE_H__
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