#ifndef __BV_BOX_H__ #define __BV_BOX_H__ /* =============================================================================== Oriented Bounding Box =============================================================================== */ class idBox { public: idBox( void ); explicit idBox( const idVec3 ¢er, const idVec3 &extents, const idMat3 &axis ); explicit idBox( const idVec3 &point ); explicit idBox( const idBounds &bounds ); explicit idBox( const idBounds &bounds, const idVec3 &origin, const idMat3 &axis ); idBox operator+( const idVec3 &t ) const; // returns translated box idBox & operator+=( const idVec3 &t ); // translate the box idBox operator*( const idMat3 &r ) const; // returns rotated box idBox & operator*=( const idMat3 &r ); // rotate the box idBox operator+( const idBox &a ) const; idBox & operator+=( const idBox &a ); idBox operator-( const idBox &a ) const; idBox & operator-=( const idBox &a ); bool Compare( const idBox &a ) const; // exact compare, no epsilon bool Compare( const idBox &a, const float epsilon ) const; // compare with epsilon bool operator==( const idBox &a ) const; // exact compare, no epsilon bool operator!=( const idBox &a ) const; // exact compare, no epsilon void Clear( void ); // inside out box void Zero( void ); // single point at origin const idVec3 & GetCenter( void ) const; // returns center of the box const idVec3 & GetExtents( void ) const; // returns extents of the box const idMat3 & GetAxis( void ) const; // returns the axis of the box float GetVolume( void ) const; // returns the volume of the box bool IsCleared( void ) const; // returns true if box are inside out bool AddPoint( const idVec3 &v ); // add the point, returns true if the box expanded bool AddBox( const idBox &a ); // add the box, returns true if the box expanded idBox Expand( const float d ) const; // return box expanded in all directions with the given value idBox & ExpandSelf( const float d ); // expand box in all directions with the given value idBox Translate( const idVec3 &translation ) const; // return translated box idBox & TranslateSelf( const idVec3 &translation ); // translate this box idBox Rotate( const idMat3 &rotation ) const; // return rotated box idBox & RotateSelf( const idMat3 &rotation ); // rotate this box float PlaneDistance( const idPlane &plane ) const; int PlaneSide( const idPlane &plane, const float epsilon = ON_EPSILON ) const; bool ContainsPoint( const idVec3 &p ) const; // includes touching bool IntersectsBox( const idBox &a ) const; // includes touching bool LineIntersection( const idVec3 &start, const idVec3 &end ) const; // intersection points are (start + dir * scale1) and (start + dir * scale2) bool RayIntersection( const idVec3 &start, const idVec3 &dir, float &scale1, float &scale2 ) const; // tight box for a collection of points void FromPoints( const idVec3 *points, const int numPoints ); // most tight box for a translation void FromPointTranslation( const idVec3 &point, const idVec3 &translation ); void FromBoxTranslation( const idBox &box, const idVec3 &translation ); // most tight box for a rotation void FromPointRotation( const idVec3 &point, const idRotation &rotation ); void FromBoxRotation( const idBox &box, const idRotation &rotation ); void ToPoints( idVec3 points[8] ) const; idSphere ToSphere( void ) const; // calculates the projection of this box onto the given axis void AxisProjection( const idVec3 &dir, float &min, float &max ) const; void AxisProjection( const idMat3 &ax, idBounds &bounds ) const; // calculates the silhouette of the box int GetProjectionSilhouetteVerts( const idVec3 &projectionOrigin, idVec3 silVerts[6] ) const; int GetParallelProjectionSilhouetteVerts( const idVec3 &projectionDir, idVec3 silVerts[6] ) const; private: idVec3 center; idVec3 extents; idMat3 axis; }; extern idBox box_zero; ID_INLINE idBox::idBox( void ) { } ID_INLINE idBox::idBox( const idVec3 ¢er, const idVec3 &extents, const idMat3 &axis ) { this->center = center; this->extents = extents; this->axis = axis; } ID_INLINE idBox::idBox( const idVec3 &point ) { this->center = point; this->extents.Zero(); this->axis.Identity(); } ID_INLINE idBox::idBox( const idBounds &bounds ) { this->center = ( bounds[0] + bounds[1] ) * 0.5f; this->extents = bounds[1] - this->center; this->axis.Identity(); } ID_INLINE idBox::idBox( const idBounds &bounds, const idVec3 &origin, const idMat3 &axis ) { this->center = ( bounds[0] + bounds[1] ) * 0.5f; this->extents = bounds[1] - this->center; this->center = origin + this->center * axis; this->axis = axis; } ID_INLINE idBox idBox::operator+( const idVec3 &t ) const { return idBox( center + t, extents, axis ); } ID_INLINE idBox &idBox::operator+=( const idVec3 &t ) { center += t; return *this; } ID_INLINE idBox idBox::operator*( const idMat3 &r ) const { return idBox( center * r, extents, axis * r ); } ID_INLINE idBox &idBox::operator*=( const idMat3 &r ) { center *= r; axis *= r; return *this; } ID_INLINE idBox idBox::operator+( const idBox &a ) const { idBox newBox; newBox = *this; newBox.AddBox( a ); return newBox; } ID_INLINE idBox &idBox::operator+=( const idBox &a ) { idBox::AddBox( a ); return *this; } ID_INLINE idBox idBox::operator-( const idBox &a ) const { return idBox( center, extents - a.extents, axis ); } ID_INLINE idBox &idBox::operator-=( const idBox &a ) { extents -= a.extents; return *this; } ID_INLINE bool idBox::Compare( const idBox &a ) const { return ( center.Compare( a.center ) && extents.Compare( a.extents ) && axis.Compare( a.axis ) ); } ID_INLINE bool idBox::Compare( const idBox &a, const float epsilon ) const { return ( center.Compare( a.center, epsilon ) && extents.Compare( a.extents, epsilon ) && axis.Compare( a.axis, epsilon ) ); } ID_INLINE bool idBox::operator==( const idBox &a ) const { return Compare( a ); } ID_INLINE bool idBox::operator!=( const idBox &a ) const { return !Compare( a ); } ID_INLINE void idBox::Clear( void ) { center.Zero(); extents[0] = extents[1] = extents[2] = -idMath::INFINITY; axis.Identity(); } ID_INLINE void idBox::Zero( void ) { center.Zero(); extents.Zero(); axis.Identity(); } ID_INLINE const idVec3 &idBox::GetCenter( void ) const { return center; } ID_INLINE const idVec3 &idBox::GetExtents( void ) const { return extents; } ID_INLINE const idMat3 &idBox::GetAxis( void ) const { return axis; } ID_INLINE float idBox::GetVolume( void ) const { return ( extents * 2.0f ).LengthSqr(); } ID_INLINE bool idBox::IsCleared( void ) const { return extents[0] < 0.0f; } ID_INLINE idBox idBox::Expand( const float d ) const { return idBox( center, extents + idVec3( d, d, d ), axis ); } ID_INLINE idBox &idBox::ExpandSelf( const float d ) { extents[0] += d; extents[1] += d; extents[2] += d; return *this; } ID_INLINE idBox idBox::Translate( const idVec3 &translation ) const { return idBox( center + translation, extents, axis ); } ID_INLINE idBox &idBox::TranslateSelf( const idVec3 &translation ) { center += translation; return *this; } ID_INLINE idBox idBox::Rotate( const idMat3 &rotation ) const { return idBox( center * rotation, extents, axis * rotation ); } ID_INLINE idBox &idBox::RotateSelf( const idMat3 &rotation ) { center *= rotation; axis *= rotation; return *this; } ID_INLINE bool idBox::ContainsPoint( const idVec3 &p ) const { idVec3 lp = p - center; if ( idMath::Fabs( lp * axis[0] ) > extents[0] || idMath::Fabs( lp * axis[1] ) > extents[1] || idMath::Fabs( lp * axis[2] ) > extents[2] ) { return false; } return true; } ID_INLINE idSphere idBox::ToSphere( void ) const { return idSphere( center, extents.Length() ); } ID_INLINE void idBox::AxisProjection( const idVec3 &dir, float &min, float &max ) const { float d1 = dir * center; float d2 = idMath::Fabs( extents[0] * ( dir * axis[0] ) ) + idMath::Fabs( extents[1] * ( dir * axis[1] ) ) + idMath::Fabs( extents[2] * ( dir * axis[2] ) ); min = d1 - d2; max = d1 + d2; } ID_INLINE void idBox::AxisProjection( const idMat3 &ax, idBounds &bounds ) const { for ( int i = 0; i < 3; i++ ) { float d1 = ax[i] * center; float d2 = idMath::Fabs( extents[0] * ( ax[i] * axis[0] ) ) + idMath::Fabs( extents[1] * ( ax[i] * axis[1] ) ) + idMath::Fabs( extents[2] * ( ax[i] * axis[2] ) ); bounds[0][i] = d1 - d2; bounds[1][i] = d1 + d2; } } #endif /* !__BV_BOX_H__ */