Convert coordinates from the Cartesian system to the cylindrical system. More...

#include "utils/Vector.hpp"
#include "utils/math/vec_rotate.hpp"
#include "utils/matrix.hpp"
#include <cassert>
#include <cmath>

Include dependency graph for coordinate_transformation.hpp:

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Functions
Vector3d	Utils::basis_change (Vector3d const &b1, Vector3d const &b2, Vector3d const &b3, Vector3d const &v, bool reverse=false)
	Basis change.

Vector3d	Utils::transform_coordinate_cartesian_to_cylinder (Vector3d const &pos)
	Coordinate transformation from Cartesian to cylindrical coordinates.

Vector3d	Utils::transform_coordinate_cartesian_to_cylinder (Vector3d const &pos, Vector3d const &axis, Vector3d const &orientation)
	Coordinate transformation from Cartesian to cylindrical coordinates with change of basis.

Vector3d	Utils::transform_coordinate_cylinder_to_cartesian (Vector3d const &pos)
	Coordinate transformation from cylindrical to Cartesian coordinates.

Vector3d	Utils::transform_coordinate_cylinder_to_cartesian (Vector3d const &pos, Vector3d const &axis, Vector3d const &orientation)
	Coordinate transformation from cylindrical to Cartesian coordinates with change of basis.

Vector3d	Utils::transform_vector_cartesian_to_cylinder (Vector3d const &vec, Vector3d const &axis, Vector3d const &pos)
	Vector transformation from Cartesian to cylindrical coordinates.

Detailed Description

Convert coordinates from the Cartesian system to the cylindrical system.

The transformation functions are provided with three overloads:

one function for the trivial Cartesian <-> cylindrical transformation
one function to transform from/to a cylindrical system with custom axis (extra axis argument, keep in mind the angle phi is under-defined)
one function to transform from/to an oriented cylindrical system with custom axis (extra orientation argument, the angle phi is well-defined)

Namespaces