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SIRIUS 7.5.0
Electronic structure library and applications
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Simple classes and functions to work with vectors and matrices of the R^3 space. More...
Go to the source code of this file.
Classes | |
| class | sirius::r3::vector< T > |
| Simple implementation of 3d vector. More... | |
| class | sirius::r3::matrix< T > |
| Handling of a 3x3 matrix of numerical data types. More... | |
Namespaces | |
| module | sirius |
| Namespace of the SIRIUS library. | |
| namespace | sirius::r3 |
| Work with 3D vectors and matrices. | |
Functions | |
| template<typename T , typename U > | |
| vector< decltype(T{}+U{})> | sirius::r3::operator+ (vector< T > const &a, vector< U > const &b) |
| template<typename T , typename U > | |
| vector< decltype(T{} - U{})> | sirius::r3::operator- (vector< T > const &a, vector< U > const &b) |
| template<typename T , typename U > | |
| std::enable_if_t< std::is_scalar< U >::value, vector< decltype(T{} *U{})> > | sirius::r3::operator* (vector< T > const &vec, U p) |
| template<typename T , typename U > | |
| std::enable_if_t< std::is_scalar< U >::value, vector< decltype(T{} *U{})> > | sirius::r3::operator* (U p, vector< T > const &vec) |
| template<typename T , typename U > | |
| std::enable_if_t< std::is_scalar< U >::value, vector< decltype(T{} *U{})> > | sirius::r3::operator/ (vector< T > const &vec, U p) |
| template<typename T , typename U > | |
| auto | sirius::r3::dot (vector< T > const a, vector< U > const b) -> decltype(T{} *U{}) |
| template<typename T > | |
| auto | sirius::r3::cross (vector< T > const a, vector< T > const b) |
| template<typename T > | |
| std::ostream & | sirius::r3::operator<< (std::ostream &out, r3::vector< T > const &v) |
| template<typename T , typename U > | |
| std::enable_if_t< std::is_scalar< U >::value, matrix< decltype(T{} *U{})> > | sirius::r3::operator* (matrix< T > const &a__, U p__) |
| Multiply matrix by a scalar number. More... | |
| template<typename T , typename U > | |
| std::enable_if_t< std::is_scalar< U >::value, matrix< decltype(T{} *U{})> > | sirius::r3::operator* (U p__, matrix< T > const &a__) |
| bool | sirius::r3::operator== (matrix< int > const &a__, matrix< int > const &b__) |
| template<typename T , typename U > | |
| auto | sirius::r3::dot (matrix< T > const &a__, matrix< U > const &b__) |
| Multiply two matrices. More... | |
| template<typename T , typename U > | |
| auto | sirius::r3::dot (matrix< T > const &m__, vector< U > const &b__) |
| Matrix-vector multiplication. More... | |
| template<typename T , typename U > | |
| auto | sirius::r3::dot (vector< U > const &b__, matrix< T > const &m__) |
| Vector-matrix multiplication. More... | |
| template<typename T > | |
| auto | sirius::r3::transpose (matrix< T > src) |
| Return transpose of the matrix. More... | |
| template<typename T > | |
| auto | sirius::r3::inverse_aux (matrix< T > src) |
| auto | sirius::r3::inverse (matrix< int > src) |
| Return inverse of the integer matrix. More... | |
| template<typename T > | |
| auto | sirius::r3::inverse (matrix< T > src) |
| Return inverse of the matrix. More... | |
| template<typename T > | |
| std::ostream & | sirius::r3::operator<< (std::ostream &out, matrix< T > const &v) |
| auto | sirius::r3::reduce_coordinates (vector< double > coord__) |
| Reduce the coordinates to the first unit cell. More... | |
| auto | sirius::r3::find_translations (double radius__, matrix< double > const &lattice_vectors__) |
| Find supercell that circumscribes the sphere with a given radius. More... | |
| auto | sirius::r3::spherical_coordinates (vector< double > vc) |
| Transform Cartesian coordinates [x,y,z] to spherical coordinates [r,theta,phi]. More... | |
Simple classes and functions to work with vectors and matrices of the R^3 space.
Definition in file r3.hpp.
1.9.3