geometry.hpp File Reference

#include <Eigen/Core>
#include <array>
#include "math/differences.hpp"
#include "utils/assertion.hpp"

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Classes
struct	precice::math::geometry::ConvexityResult

Namespaces
namespace	precice
	Main namespace of the precice library.
namespace	precice::math
	provides general mathematical constants and functions.
namespace	precice::math::geometry
	Provides computational geometry operations.

Enumerations
enum	precice::math::geometry::ResultConstants {   precice::math::geometry::NO_INTERSECTION , precice::math::geometry::INTERSECTION , precice::math::geometry::TOUCHING , precice::math::geometry::NOT_CONTAINED ,   precice::math::geometry::CONTAINED }

Functions
bool	precice::math::geometry::lineIntersection (const Eigen::Ref< const Eigen::Vector2d > &a, const Eigen::Ref< const Eigen::Vector2d > &b, const Eigen::Ref< const Eigen::Vector2d > &c, const Eigen::Ref< const Eigen::Vector2d > &d, Eigen::Ref< Eigen::Vector2d > &intersectionPoint)
	Determines the intersection point of two lines, if one exists.
ResultConstants	precice::math::geometry::segmentPlaneIntersection (const Eigen::Vector3d &pointOnPlane, const Eigen::Vector3d &planeNormal, const Eigen::Vector3d &firstPointSegment, const Eigen::Vector3d &secondPointSegment, Eigen::Vector3d &intersectionPoint)
	Determines the intersection point of a segment with a plane in 3D.
template<typename VECTORA_T , typename VECTORB_T , typename VECTORC_T >
bool	precice::math::geometry::between (const VECTORA_T &a, const VECTORB_T &b, const VECTORC_T &toCheck)
	Determines, if a point lies on the line segment defined by a, b.
template<typename Derived >
bool	precice::math::geometry::collinear (const Eigen::MatrixBase< Derived > &a, const Eigen::MatrixBase< Derived > &b, const Eigen::MatrixBase< Derived > &c)
	Determines, if three points are collinear (on one line)
template<typename Derived >
static bool	precice::math::geometry::parallel (const Eigen::MatrixBase< Derived > &a, const Eigen::MatrixBase< Derived > &b, const Eigen::MatrixBase< Derived > &c, const Eigen::MatrixBase< Derived > &d)
	Determines, if two lines are parallel to each other.
double	precice::math::geometry::triangleArea (const Eigen::VectorXd &a, const Eigen::VectorXd &b, const Eigen::VectorXd &c)
	Computes the signed area of a triangle in 2D.
double	precice::math::geometry::tetraVolume (const Eigen::Vector3d &a, const Eigen::Vector3d &b, const Eigen::Vector3d &c, const Eigen::Vector3d &d)
	Computes the (unsigned) area of a triangle in 3D.
Eigen::Vector2d	precice::math::geometry::projectVector (const Eigen::Vector3d &vector, const int indexDimensionToRemove)
	Projects a 3D vector to a 2D one by removing one dimension.
template<class Derived >
int	precice::math::geometry::containedInHyperrectangle (const Eigen::MatrixBase< Derived > &sidelengths, const Eigen::MatrixBase< Derived > &center, const Eigen::MatrixBase< Derived > &testPoint)
	Tests, if a vertex is contained in a hyperrectangle.
template<class Derived >
bool	precice::math::geometry::parallel (const Eigen::MatrixBase< Derived > &a, const Eigen::MatrixBase< Derived > &b, const Eigen::MatrixBase< Derived > &c, const Eigen::MatrixBase< Derived > &d)
	Determines, if two lines are parallel to each other.
ConvexityResult	precice::math::geometry::isConvexQuad (std::array< Eigen::VectorXd, 4 > coords)