geometry_toolbox.hpp File Reference

Collection of common lightweight geometry-oriented methods. More...

#include <cmath>
#include <algorithm>

Go to the source code of this file.

Namespaces
namespace	GeometryToolbox

Functions
template<class T , class U , typename Int >
T	GeometryToolbox::SquaredDistance (Int nDim, const T *a, const U *b)
template<class T , class U , typename Int >
T	GeometryToolbox::Distance (Int nDim, const T *a, const U *b)
template<class T , typename Int >
void	GeometryToolbox::Distance (Int nDim, const T *a, const T *b, T *d)
	d = a-b
template<class T , typename Int >
void	GeometryToolbox::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	GeometryToolbox::DotProduct (Int nDim, const T *a, const T *b)
template<class T , typename Int >
T	GeometryToolbox::SquaredNorm (Int nDim, const T *a)
template<class T , typename Int >
T	GeometryToolbox::Norm (Int nDim, const T *a)
template<class T , typename Int >
T	GeometryToolbox::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	GeometryToolbox::CrossProduct (const T *a, const T *b, T *c)
	c = a x b
template<class T , int nDim>
T	GeometryToolbox::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	GeometryToolbox::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	GeometryToolbox::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	GeometryToolbox::TriangleNormal (const T &coords, U *normal)
	Normal vector of a triangle, cross product of two sides.
template<class T , class U >
void	GeometryToolbox::QuadrilateralNormal (const T &coords, U *normal)
	Normal vector of a quadrilateral, cross product of the two diagonals.
template<class T , class U >
U	GeometryToolbox::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	GeometryToolbox::RotationMatrix (Scalar theta, Scalar phi, Scalar psi, Matrix &mat)
	Compute a 3D rotation matrix.
template<class Scalar , class Matrix >
void	GeometryToolbox::RotationMatrix (Scalar psi, Matrix &mat)
	Compute a 2D rotation matrix.
template<class Scalar , int nDim>
void	GeometryToolbox::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	GeometryToolbox::HasRotation (const Scalar *angles)
template<class Scalar , int nDim>
void	GeometryToolbox::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	GeometryToolbox::TangentProjection (Int nDim, const Mat &tensor, const Scalar *vector, Scalar *proj)
	Tangent projection

Detailed Description

Collection of common lightweight geometry-oriented methods.

Version

8.5.0 "Harrier"

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