GeometryToolbox Namespace Reference

Functions
template<class T , class U , typename Int >
T	SquaredDistance (Int nDim, const T *a, const U *b)
template<class T , class U , typename Int >
T	Distance (Int nDim, const T *a, const U *b)
template<class T , typename Int >
void	Distance (Int nDim, const T *a, const T *b, T *d)
	d = a-b
template<class T , typename Int >
void	PointPointReflect (Int nDim, const T *a, const T *b, T *d)
	Reflect a at b: c = 2*b - a.
template<class T , typename Int >
T	DotProduct (Int nDim, const T *a, const T *b)
template<class T , typename Int >
T	SquaredNorm (Int nDim, const T *a)
template<class T , typename Int >
T	Norm (Int nDim, const T *a)
template<class T , typename Int >
T	NormalDistance (Int nDim, const T *n, const T *a, const T *b)
	dn = max(abs(n.(a-b)), 0.05 * ||a-b||
template<class T >
void	CrossProduct (const T *a, const T *b, T *c)
	c = a x b
template<class T , int nDim>
T	LinePlaneIntersection (const T *l0, const T *d, const T *p0, const T *n, T *c)
	Compute the coordinate (c) where the line defined by coordinate l0 and direction d intersects the plane defined by point p0 and normal n.
template<class T , int nDim>
T	PointPlaneProjection (const T *p1, const T *p0, const T *n, T *c)
	Compute the coordinate (c) where point p1 intersects the plane defined by point p0 and normal n if projected perpendicular to it.
template<class T , class U >
void	LineNormal (const T &coords, U *normal)
	Set U as the normal to a 2D line defined by coords[iPoint][iDim].
template<class T , class U >
void	TriangleNormal (const T &coords, U *normal)
	Normal vector of a triangle, cross product of two sides.
template<class T , class U >
void	QuadrilateralNormal (const T &coords, U *normal)
	Normal vector of a quadrilateral, cross product of the two diagonals.
template<class T , class U >
U	PointToPlaneDistance (const T &coords, const U *point)
	Signed distance from a point to a plane defined by 3 coordinates.
template<class Scalar , class Matrix >
void	RotationMatrix (Scalar theta, Scalar phi, Scalar psi, Matrix &mat)
	Compute a 3D rotation matrix.
template<class Scalar , class Matrix >
void	RotationMatrix (Scalar psi, Matrix &mat)
	Compute a 2D rotation matrix.
template<class Scalar , int nDim>
void	Rotate (const Scalar R[][nDim], const Scalar *O, const Scalar *d, Scalar *c)
	Apply a rotation matrix (R) about origin (O) to a point at distance (d) from it to obtain new coordinate (c).
template<class Scalar >
bool	HasRotation (const Scalar *angles)
template<class Scalar , int nDim>
void	RotateBox (const Scalar R[][nDim], Scalar *vMin, Scalar *vMax)
	Rotate component bounds in place, enclosing the rotated box.
template<class Mat , class Scalar , class Int >
void	TangentProjection (Int nDim, const Mat &tensor, const Scalar *vector, Scalar *proj)
	Tangent projection