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RazorBack Namespace Reference

Compounds

class RazorBack::Lu_

Lu_: a class for doing LU-decomposition. More...

class RazorBack::Rsymdiag_

Class Rsymdiag_: an object from this class can be initialised with a real symmetric matrix and its methods allow various diagonalisation tasks to be carried out, such as eigenvalues only, all eigenvalues and eigenvectors, all eigenvalues/some eigenvectors, and selected eigenvalue/eigenvector pairs. More...

struct RazorBack::Rsymdiag_::Eigidx_

Eigidx_: object for eigenvalue sorting where the eigenvalue remembers where it came from. More...

struct RazorBack::Rsymdiag_::Evaloc_

Evaloc_: object for keeping track of intervals containing eigenvalues during the bisection process. More...

class RazorBack::Rsymdiagexc_

An Rsymdiagexc_ exception can be thrown if something went wrong. More...

class RazorBack::Safety_

class RazorBack::Squarexc_

Squarexc_: this exception is thrown when an operation is performed on a general rectangular matrix which is permitted for square matrices only (such as adjusting the main diagonal). More...

class RazorBack::Svd_

Class Svd_ : a simple class for Singular Value Decomposition. More...

class RazorBack::Svdexc_

An Svdexc_ exception can be thrown if something went wrong in Svd_::make_decomp(). More...

class RazorBack::Matstorage_

Matstorage_: helper class that contains an STL vector and its length. More...

class RazorBack::Basemat_

Basemat_: implements the matrix element storage supporting copy-on-write and all matrix operations which can be performed on all matrix elements in parallel, irrespective of the layout. More...

class RazorBack::Rectmat_

Class Rectmat_: a class of rectangular matrices (Row x Col). More...

class RazorBack::Symmat_

Class Symmat_: a class of symmetric square matrices (Row x Row). More...

class RazorBack::Vector_

Vector_: this class implements a template for a linear algebra vector class. More...

Typedefs

typedef Rectmat_<double> Rmatdbl_

typedef Rectmat_<float> Rmatflt_

typedef Symmat_<double> Smatdbl_

typedef Symmat_<float> Smatflt_

typedef Vector_<double> Vecdbl_

Float and double vectors (for convenience).

typedef Vector_<float> Vecflt_

Functions

istream& operator>> (istream &In, Basemat_< T_ > &Mat)

Reads a matrix from In.

template<class T_> ostream& operator<< (ostream &Out, const Basemat_< T_ > &Mat)

Writes a matrix to Out.

Rectmat_<T_> operator * (const T_ &Factor, const Rectmat_< T_ > &Bm)

Pre-multiplication of a rectangular matrix with a scalar.

Rectmat_<T_> operator+ (const Rectmat_< T_ > &R, const Symmat_< T_ > &S)

Rectmat_<T_> operator- (const Rectmat_< T_ > &Mat, const Symmat_< T_ > &Sym)

Symmat_<T_> operator * (const T_ &Factor, const Symmat_< T_ > &Bm)

Rectmat_<T_> operator * (const Rectmat_< T_ > &Rect, const Symmat_< T_ > &Sym)

Vector_<T_> operator * (const T_ &X, const Vector_< T_ > &V)

Pre-multiplies the vector V with scalar X.

Vector_<T_> cross_prod (const Vector_< T_ > &V1, const Vector_< T_ > &V2)

cross_prod(): returns the cross-product of two 3D vectors. More...

T_ vec_len2 (const Vector_< T_ > &V)

vec_len2(): calculates the square of the Euclidean norm. More...

T_ vec_len (const Vector_< T_ > &V)

vec_len(): returns the Euclidean norm for types T_ which support a sqrt(T_) operation.

T_ diff_len2 (const Vector_< T_ > &V1, const Vector_< T_ > &V2)

diff_len2(): returns the squared length of V1-V2. More...

istream& operator>> (istream &In, Vector_< T_ > &V)

Reads a vector V from the stream In. More...

template<class T_> ostream& operator<< (ostream &Out, const Vector_< T_ > &V)

Writes the vector V to stream Out.

Typedef Documentation

typedef Rectmat_<double> RazorBack::Rmatdbl_

Definition at line 214 of file Rectmat.hh.

typedef Rectmat_<float> RazorBack::Rmatflt_

Definition at line 215 of file Rectmat.hh.

typedef Symmat_<double> RazorBack::Smatdbl_

Definition at line 239 of file Symmat.hh.

typedef Symmat_<float> RazorBack::Smatflt_

Definition at line 240 of file Symmat.hh.

typedef Vector_< double > RazorBack::Vecdbl_

Float and double vectors (for convenience).

Definition at line 280 of file Vector.hh.

typedef Vector_<float> RazorBack::Vecflt_

Definition at line 281 of file Vector.hh.

Function Documentation

istream & RazorBack::operator>> ( istream & In,

Basemat_< T_ > & Mat )

Reads a matrix from In.

Definition at line 257 of file Basemat.hh.

template<class T_>

ostream & RazorBack::operator<< ( ostream & Out,

const Basemat_< T_ > & Mat )

Writes a matrix to Out.

Definition at line 264 of file Basemat.hh.

Rectmat_< T_ > RazorBack::operator * ( const T_ & Factor,

const Rectmat_< T_ > & Bm )

Pre-multiplication of a rectangular matrix with a scalar.

Rectmat_<T_> operator+ ( const Rectmat_< T_ > & R,

const Symmat_< T_ > & S )

Definition at line 227 of file Symmat.hh.

Rectmat_<T_> operator- ( const Rectmat_< T_ > & Mat,

const Symmat_< T_ > & Sym )

Symmat_<T_> operator * ( const T_ & Factor,

const Symmat_< T_ > & Bm )

Rectmat_<T_> operator * ( const Rectmat_< T_ > & Rect,

const Symmat_< T_ > & Sym )

Vector_< T_ > RazorBack::operator * ( const T_ & X,

const Vector_< T_ > & V )

Pre-multiplies the vector V with scalar X.

Vector_< T_ > RazorBack::cross_prod ( const Vector_< T_ > & V1,

const Vector_< T_ > & V2 )

cross_prod(): returns the cross-product of two 3D vectors.
If either of the arguments are not 3D, then a Dimexc_ exception is thrown.

T_ RazorBack::vec_len2 ( const Vector_< T_ > & V )

vec_len2(): calculates the square of the Euclidean norm.
This can be invoked as "vec_len2(Vector)". Note that there is a member function version, too. Just syntactic sugar :-)
Definition at line 237 of file Vector.hh.

T_ RazorBack::vec_len ( const Vector_< T_ > & V )

vec_len(): returns the Euclidean norm for types T_ which support a sqrt(T_) operation.

Definition at line 244 of file Vector.hh.

T_ RazorBack::diff_len2 ( const Vector_< T_ > & V1,

const Vector_< T_ > & V2 )

diff_len2(): returns the squared length of V1-V2.
On dim mismatch a Dimexc_ exception is thrown.

istream & RazorBack::operator>> ( istream & In,

Vector_< T_ > & V )

Reads a vector V from the stream In.
This is how the vector format looks like:-
------------------ 0 | -1.740000e+01 1 | -2.320000e+01 2 | -2.900000e+01 ==================

Definition at line 267 of file Vector.hh.

template<class T_>

ostream & RazorBack::operator<< ( ostream & Out,

const Vector_< T_ > & V )

Writes the vector V to stream Out.

Generated at Wed Aug 21 09:33:28 2002 for The Razorback C++ Library: Linear Algebra by

Compounds
class	RazorBack::Lu_
	Lu_: a class for doing LU-decomposition. More...
class	RazorBack::Rsymdiag_
	Class Rsymdiag_: an object from this class can be initialised with a real symmetric matrix and its methods allow various diagonalisation tasks to be carried out, such as eigenvalues only, all eigenvalues and eigenvectors, all eigenvalues/some eigenvectors, and selected eigenvalue/eigenvector pairs. More...
struct	RazorBack::Rsymdiag_::Eigidx_
	Eigidx_: object for eigenvalue sorting where the eigenvalue remembers where it came from. More...
struct	RazorBack::Rsymdiag_::Evaloc_
	Evaloc_: object for keeping track of intervals containing eigenvalues during the bisection process. More...
class	RazorBack::Rsymdiagexc_
	An Rsymdiagexc_ exception can be thrown if something went wrong. More...
class	RazorBack::Safety_
class	RazorBack::Squarexc_
	Squarexc_: this exception is thrown when an operation is performed on a general rectangular matrix which is permitted for square matrices only (such as adjusting the main diagonal). More...
class	RazorBack::Svd_
	Class Svd_ : a simple class for Singular Value Decomposition. More...
class	RazorBack::Svdexc_
	An Svdexc_ exception can be thrown if something went wrong in Svd_::make_decomp(). More...
class	RazorBack::Matstorage_
	Matstorage_: helper class that contains an STL vector and its length. More...
class	RazorBack::Basemat_
	Basemat_: implements the matrix element storage supporting copy-on-write and all matrix operations which can be performed on all matrix elements in parallel, irrespective of the layout. More...
class	RazorBack::Rectmat_
	Class Rectmat_: a class of rectangular matrices (Row x Col). More...
class	RazorBack::Symmat_
	Class Symmat_: a class of symmetric square matrices (Row x Row). More...
class	RazorBack::Vector_
	Vector_: this class implements a template for a linear algebra vector class. More...
Typedefs
typedef Rectmat_<double>	Rmatdbl_
typedef Rectmat_<float>	Rmatflt_
typedef Symmat_<double>	Smatdbl_
typedef Symmat_<float>	Smatflt_
typedef Vector_<double>	Vecdbl_
	Float and double vectors (for convenience).
typedef Vector_<float>	Vecflt_
Functions
istream&	operator>> (istream &In, Basemat_< T_ > &Mat)
	Reads a matrix from In.
template<class T_> ostream&	operator<< (ostream &Out, const Basemat_< T_ > &Mat)
	Writes a matrix to Out.
Rectmat_<T_>	operator * (const T_ &Factor, const Rectmat_< T_ > &Bm)
	Pre-multiplication of a rectangular matrix with a scalar.
Rectmat_<T_>	operator+ (const Rectmat_< T_ > &R, const Symmat_< T_ > &S)
Rectmat_<T_>	operator- (const Rectmat_< T_ > &Mat, const Symmat_< T_ > &Sym)
Symmat_<T_>	operator * (const T_ &Factor, const Symmat_< T_ > &Bm)
Rectmat_<T_>	operator * (const Rectmat_< T_ > &Rect, const Symmat_< T_ > &Sym)
Vector_<T_>	operator * (const T_ &X, const Vector_< T_ > &V)
	Pre-multiplies the vector V with scalar X.
Vector_<T_>	cross_prod (const Vector_< T_ > &V1, const Vector_< T_ > &V2)
	cross_prod(): returns the cross-product of two 3D vectors. More...
T_	vec_len2 (const Vector_< T_ > &V)
	vec_len2(): calculates the square of the Euclidean norm. More...
T_	vec_len (const Vector_< T_ > &V)
	vec_len(): returns the Euclidean norm for types T_ which support a sqrt(T_) operation.
T_	diff_len2 (const Vector_< T_ > &V1, const Vector_< T_ > &V2)
	diff_len2(): returns the squared length of V1-V2. More...
istream&	operator>> (istream &In, Vector_< T_ > &V)
	Reads a vector V from the stream In. More...
template<class T_> ostream&	operator<< (ostream &Out, const Vector_< T_ > &V)
	Writes the vector V to stream Out.