linalg_traits< T > Class Template Reference
[Useful ancillary stuff]

Helper class defining relationships between numerical types; e.g. of what type is norm(T)? More...

#include <linalg_abstract.h>

List of all members.

Public Types
typedef T	conjugate_type
	The type of conjugate(T). For most types, conjugate_type<T> = T.
typedef T	norm_type
	In general, the type of T*conjugate(T).
typedef T	abs_type
	The type of the absolute value of a T; typically the same as norm_type<T>.
typedef T	general_eigenvalue_type
	The type of the eigenvalues of a Matrix<T>.
typedef T	general_eigenvector_type
	The type of the elements of an eigenvector of a Matrix<T>.
Static Public Member Functions
static conjugate_type	conjugate (T t)
	Method to return the conjugate of a T. Generic types are invariant under conjugation.
static norm_type	norm (T t)
	Method to return the squared 2-norm of a T. Generically: t*conjugate(t).
static abs_type	sqrt (norm_type n)
	Method to return the square root of a norm_type<T>.

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Detailed Description

template<typename T>
class linalg_traits< T >

Helper class defining relationships between numerical types; e.g. of what type is norm(T)?

The purpose of linalg_traits<T> is to allow a linear algebra object templated on T to discern properties of T at compile-time. These properties include everything necessary to perform all the member methods of standard Vector and Matrix classes.

linalg_traits<T> is currently specialized for T = double and T = std::complex<double>.

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Member Function Documentation

template<typename T> static abs_type linalg_traits< T >::sqrt (  norm_type  n  )  [inline, static]

Method to return the square root of a norm_type<T>. Generically: std::sqrt(). This throws an error if std::sqrt(norm_type<T>) is not defined.

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The documentation for this class was generated from the following file:

• linalg_abstract.h

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