ReactPhysics3D  v0.10.2
C++ Physics engine library
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reactphysics3d::VoronoiSimplex Class Reference

This class represents a simplex which is a set of 3D points. More...

#include <include/reactphysics3d/collision/narrowphase/GJK/VoronoiSimplex.h>

Public Member Functions

 VoronoiSimplex ()
 Constructor.
 
 ~VoronoiSimplex ()
 Destructor.
 
bool isFull () const
 Return true if the simplex contains 4 points.
 
bool isEmpty () const
 Return true if the simplex is empty.
 
int getSimplex (Vector3 *mSuppPointsA, Vector3 *mSuppPointsB, Vector3 *mPoints) const
 Return the points of the simplex.
 
decimal getMaxLengthSquareOfAPoint () const
 Return the maximum squared length of a point.
 
void addPoint (const Vector3 &point, const Vector3 &suppPointA, const Vector3 &suppPointB)
 Add a new support point of (A-B) into the simplex.
 
void removePoint (int index)
 Remove a point from the simplex.
 
void reduceSimplex (int bitsUsedPoints)
 Reduce the simplex (only keep vertices that participate to the point closest to the origin)
 
bool isPointInSimplex (const Vector3 &point) const
 Return true if the point is in the simplex.
 
bool isAffinelyDependent () const
 Return true if the set is affinely dependent.
 
void backupClosestPointInSimplex (Vector3 &point)
 Backup the closest point.
 
void computeClosestPointsOfAandB (Vector3 &pA, Vector3 &pB) const
 Compute the closest points "pA" and "pB" of object A and B.
 
bool computeClosestPoint (Vector3 &v)
 Compute the closest point to the origin of the current simplex.
 

Detailed Description

This class represents a simplex which is a set of 3D points.

This class is used in the GJK algorithm. This implementation is based in the book "Real-Time Collision Detection" by Christer Ericson. This simple is used to replace theJohnson's algorithm for computing the point of a simplex that is closest to the origin and also the smallest simplex needed to represent that closest point.

Member Function Documentation

◆ addPoint()

void VoronoiSimplex::addPoint ( const Vector3 point,
const Vector3 suppPointA,
const Vector3 suppPointB 
)

Add a new support point of (A-B) into the simplex.

suppPointA : support point of object A in a direction -v suppPointB : support point of object B in a direction v point : support point of object (A-B) => point = suppPointA - suppPointB

◆ computeClosestPointsOfAandB()

void VoronoiSimplex::computeClosestPointsOfAandB ( Vector3 pA,
Vector3 pB 
) const

Compute the closest points "pA" and "pB" of object A and B.

The points are computed as follows : pA = sum(lambda_i * a_i) where "a_i" are the support points of object A pB = sum(lambda_i * b_i) where "b_i" are the support points of object B with lambda_i = deltaX_i / deltaX.

◆ isAffinelyDependent()

bool VoronoiSimplex::isAffinelyDependent ( ) const

Return true if the set is affinely dependent.

A set if affinely dependent if a point of the set is an affine combination of other points in the set.

◆ reduceSimplex()

void VoronoiSimplex::reduceSimplex ( int  bitsUsedPoints)

Reduce the simplex (only keep vertices that participate to the point closest to the origin)

bitsUsedPoints is seen as a sequence of bits representing whether the four points of the simplex are used or not to represent the current closest point to the origin.

  • The most right bit is set to one if the first point is used
  • The second most right bit is set to one if the second point is used
  • The third most right bit is set to one if the third point is used
  • The fourth most right bit is set to one if the fourth point is used

The documentation for this class was generated from the following files: