st2_e2.h File Reference

Interface for class st2_e2. More...

#include "SheafSystem/sheaf_dll_spec.h"
#include "SheafSystem/st2.h"
#include "SheafSystem/symmetric_matrix_2x2.h"
#include "SheafSystem/e2.h"

Go to the source code of this file.

Classes
class	fiber_bundle::st2_e2_row_dofs_type< T >
	Row dofs type for class st2_e2. More...
class	fiber_bundle::st2_e2_lite
	A symmetric tensor of degree 2 over a Euclidean vector space of dimension 2 (volatile version). More...
class	fiber_bundle::st2_e2
	A symmetric tensor of degree 2 over a Euclidean vector space of dimension 2 (persistent version). More...

Namespaces
	fiber_bundle
	Namespace for the fiber_bundles component of the sheaf system.
	fiber_bundle::st2_algebra
	Namespace containing the 2d symmetric tensor algrebra functions for the fiber_bundles component of the sheaf system.

Functions
template<typename T >
std::ostream &	fiber_bundle::operator<< (std::ostream &xos, const st2_e2_row_dofs_type< T > &xrdt)
	Insert st2_e2_row_dofs_type<T>& xrdt into ostream& xos. More...
SHEAF_DLL_SPEC void	fiber_bundle::st2_algebra::determinant (const st2_e2 &x0, vd_value_type &xresult, bool xauto_access)
	The determinant of a symmetric tensor (pre-allocated version for persistent types). More...
SHEAF_DLL_SPEC vd_value_type	fiber_bundle::st2_algebra::determinant (const st2_e2 &x0, bool xauto_access)
	The determinant of a symmetric tensor (auto-allocated version for persistent types). More...
SHEAF_DLL_SPEC void	fiber_bundle::st2_algebra::determinant (const st2_e2_lite &x0, vd_value_type &xresult)
	The determinant of a symmetric tensor (pre-allocated version for volatile types). More...
SHEAF_DLL_SPEC vd_value_type	fiber_bundle::st2_algebra::determinant (const st2_e2_lite &x0)
	The determinant of a symmetric tensor (auto-allocated version for volatile types). More...
template<>
SHEAF_DLL_SPEC void	fiber_bundle::st2_algebra::to_principal_axes (const st2_e2_lite &xlite, gl2_lite &xtransform, st2_e2_lite &xresult)
	Computes the principal axes basis for xlite. Returns the diagonalization in xresult and the transform in xtransform (pre-allocated). Specialization for st2_e2_lite. More...
template<>
SHEAF_DLL_SPEC void	fiber_bundle::st2_algebra::to_principal_axes (const st2_e2_lite &xlite, const st2_e2_lite &xpd_lite, gl2_lite &xtransform, st2_e2_lite &xresult)
	Computes the principal axes basis for xlite and an associated positive definite tensor xpd_lite, and transforms both into the basis of xlite. The matrix of xlite transforms to the diagonal matrix of the eigenvalues of xlite, and the matrix of the associated positive definite tensor xpd_lite becomes the identity matrix. Specialization for st2_e2_lite. More...

Detailed Description

Interface for class st2_e2.

Definition in file st2_e2.h.