sphcoords.h File Reference
(v4.0)
spherical coordinates conversion routines, with jacobian etc. See Hyperspherical Coordinates. More...
Include dependency graph for sphcoords.h:Go to the source code of this file.
Namespaces | |
| Tomographer | |
Base namespace for the Tomographer project. | |
| Tomographer::MathTools | |
| General math routines. | |
| Tomographer::MathTools::SphCoords | |
| Utilities for hyperspherical coordinates. | |
Functions | |
| template<typename Der1 , typename Der2 > | |
| void | Tomographer::MathTools::SphCoords::cart_to_sph (Eigen::MatrixBase< Der2 > &rtheta, const Eigen::MatrixBase< Der1 > &cart) |
| Convert Cartesian coordinates to spherical coordinates in N dimensions. More... | |
| template<typename Der1 , typename Der2 > | |
| void | Tomographer::MathTools::SphCoords::sphsurf_to_cart (Eigen::MatrixBase< Der2 > &cart, const Eigen::MatrixBase< Der1 > &theta, const typename Eigen::MatrixBase< Der1 >::Scalar R=1.0) |
| Convert spherical angles to Cartesian coordinates in N dimensions. More... | |
| template<typename Der1 , typename Der2 > | |
| void | Tomographer::MathTools::SphCoords::sph_to_cart (Eigen::MatrixBase< Der2 > &cart, const Eigen::MatrixBase< Der1 > &rtheta) |
| Convert spherical coordinates to Cartesian coordinates in N dimensions. More... | |
| template<typename Der1 > | |
| Eigen::MatrixBase< Der1 >::Scalar | Tomographer::MathTools::SphCoords::cart_to_sph_jacobian (const Eigen::MatrixBase< Der1 > &rtheta) |
| Volume element of the hypersphere. More... | |
| template<typename Der1 > | |
| Eigen::MatrixBase< Der1 >::Scalar | Tomographer::MathTools::SphCoords::surf_sph_jacobian (const Eigen::MatrixBase< Der1 > &theta) |
| Surface element of the hypersphere. More... | |
| template<typename Der1 , typename Der2 > | |
| void | Tomographer::MathTools::SphCoords::sphsurf_diffjac (Eigen::ArrayBase< Der1 > &dxdtheta, const Eigen::MatrixBase< Der2 > &theta) |
| The differential of passing from spherical to cartesian coordinates on the sphere of unit radius. More... | |
| template<typename Der1 , typename Der2 > | |
| void | Tomographer::MathTools::SphCoords::sphsurf_diffjac2 (Eigen::ArrayBase< Der1 > &ddxddtheta, const Eigen::MatrixBase< Der2 > &theta) |
| The second order differential of passing from spherical to cartesian coordinates on the sphere of unit radius. More... | |
Detailed Description
spherical coordinates conversion routines, with jacobian etc. See Hyperspherical Coordinates.
Definition in file sphcoords.h.