Epetra_SerialDenseVector Class Reference

Epetra_SerialDenseVector: A class for constructing and using dense vectors. More...

#include <Epetra_SerialDenseVector.h>

Inheritance diagram for Epetra_SerialDenseVector:

Collaboration diagram for Epetra_SerialDenseVector:

Public Member Functions
Constructors/destructors
	Epetra_SerialDenseVector ()
	Default constructor; defines a zero size object. More...
	Epetra_SerialDenseVector (int Length)
	Sized constructor; defines a variable-sized object. More...
	Epetra_SerialDenseVector (Epetra_DataAccess CV, double *Values, int Length)
	Set object values from one-dimensional array. More...
	Epetra_SerialDenseVector (const Epetra_SerialDenseVector &Source)
	Epetra_SerialDenseVector copy constructor.
virtual	~Epetra_SerialDenseVector ()
	Epetra_SerialDenseVector destructor.
Post-construction modification routines
int	Size (int Length_in)
	Set length of a Epetra_SerialDenseVector object; init values to zero. More...
int	Resize (int Length_in)
	Resize a Epetra_SerialDenseVector object. More...
Element access methods
Epetra_SerialDenseVector &	operator= (const Epetra_SerialDenseVector &Source)
	Value copy from one vector to another. More...
double &	operator() (int Index)
	Element access function. More...
const double &	operator() (int Index) const
	Element access function. More...
double &	operator[] (int Index)
	Element access function. More...
const double &	operator[] (int Index) const
	Column access function. More...
Mathematical methods
int	Random ()
	Set vector values to random numbers. More...
double	Dot (const Epetra_SerialDenseVector &x) const
	Compute 1-norm of each vector in multi-vector. More...
double	Norm1 () const
	Compute 1-norm of each vector in multi-vector. More...
double	Norm2 () const
	Compute 2-norm of each vector in multi-vector. More...
double	NormInf () const
	Compute Inf-norm of each vector in multi-vector. More...
Attribute access methods
int	Length () const
	Returns length of vector.
double *	Values () const
	Returns pointer to the values in vector.
Epetra_DataAccess	CV () const
	Returns the data access mode of the this vector.
I/O methods
virtual void	Print (std::ostream &os) const
	Print service methods; defines behavior of ostream << operator.
Public Member Functions inherited from Epetra_SerialDenseMatrix
	Epetra_SerialDenseMatrix (bool set_object_label=true)
	Default constructor; defines a zero size object. More...
	Epetra_SerialDenseMatrix (int NumRows, int NumCols, bool set_object_label=true)
	Shaped constructor; defines a variable-sized object. More...
	Epetra_SerialDenseMatrix (Epetra_DataAccess CV, double *A_in, int LDA_in, int NumRows, int NumCols, bool set_object_label=true)
	Set object values from two-dimensional array. More...
	Epetra_SerialDenseMatrix (const Epetra_SerialDenseMatrix &Source)
	Epetra_SerialDenseMatrix copy constructor.
virtual	~Epetra_SerialDenseMatrix ()
	Epetra_SerialDenseMatrix destructor.
int	Shape (int NumRows, int NumCols)
	Set dimensions of a Epetra_SerialDenseMatrix object; init values to zero. More...
int	Reshape (int NumRows, int NumCols)
	Reshape a Epetra_SerialDenseMatrix object. More...
int	Multiply (char TransA, char TransB, double ScalarAB, const Epetra_SerialDenseMatrix &A, const Epetra_SerialDenseMatrix &B, double ScalarThis)
	Matrix-Matrix multiplication, this = ScalarThis*this + ScalarAB*A*B. More...
int	Multiply (bool transA, const Epetra_SerialDenseMatrix &x, Epetra_SerialDenseMatrix &y)
	Matrix-Vector multiplication, y = A*x, where 'this' == A.
int	Multiply (char SideA, double ScalarAB, const Epetra_SerialSymDenseMatrix &A, const Epetra_SerialDenseMatrix &B, double ScalarThis)
	Matrix-Matrix multiplication with a symmetric matrix A. More...
int	Scale (double ScalarA)
	Inplace scalar-matrix product A = a A. More...
virtual double	NormOne () const
	Computes the 1-Norm of the this matrix. More...
Epetra_SerialDenseMatrix &	operator= (const Epetra_SerialDenseMatrix &Source)
	Value copy from one matrix to another. More...
bool	operator== (const Epetra_SerialDenseMatrix &rhs) const
	Comparison operator. More...
bool	operator!= (const Epetra_SerialDenseMatrix &rhs) const
	Inequality operator. More...
Epetra_SerialDenseMatrix &	operator+= (const Epetra_SerialDenseMatrix &Source)
	Add one matrix to another. More...
double &	operator() (int RowIndex, int ColIndex)
	Element access function. More...
const double &	operator() (int RowIndex, int ColIndex) const
	Element access function. More...
double *	operator[] (int ColIndex)
	Column access function. More...
const double *	operator[] (int ColIndex) const
	Column access function. More...
int	Random ()
	Set matrix values to random numbers. More...
int	M () const
	Returns row dimension of system.
int	N () const
	Returns column dimension of system.
double *	A () const
	Returns pointer to the this matrix.
double *	A ()
	Returns pointer to the this matrix.
int	LDA () const
	Returns the leading dimension of the this matrix.
Epetra_DataAccess	CV () const
	Returns the data access mode of the this matrix.
virtual double	OneNorm () const
	Computes the 1-Norm of the this matrix (identical to NormOne() method). More...
virtual double	InfNorm () const
	Computes the Infinity-Norm of the this matrix (identical to NormInf() method).
virtual int	SetUseTranspose (bool UseTranspose_in)
	If set true, transpose of this operator will be applied. More...
virtual int	Apply (const Epetra_SerialDenseMatrix &X, Epetra_SerialDenseMatrix &Y)
	Returns the result of a Epetra_SerialDenseOperator applied to a Epetra_SerialDenseMatrix X in Y. More...
virtual int	ApplyInverse (const Epetra_SerialDenseMatrix &X, Epetra_SerialDenseMatrix &Y)
	Returns the result of a Epetra_SerialDenseOperator inverse applied to an Epetra_SerialDenseMatrix X in Y. More...
virtual const char *	Label () const
	Returns a character string describing the operator.
virtual bool	UseTranspose () const
	Returns the current UseTranspose setting.
virtual bool	HasNormInf () const
	Returns true if the this object can provide an approximate Inf-norm, false otherwise.
virtual int	RowDim () const
	Returns the row dimension of operator.
virtual int	ColDim () const
	Returns the column dimension of operator.
Public Member Functions inherited from Epetra_CompObject
Epetra_CompObject &	operator= (const Epetra_CompObject &src)
	Epetra_CompObject ()
	Basic Epetra_CompObject constuctor.
	Epetra_CompObject (const Epetra_CompObject &Source)
	Epetra_CompObject copy constructor.
virtual	~Epetra_CompObject ()
	Epetra_CompObject destructor.
void	SetFlopCounter (const Epetra_Flops &FlopCounter_in)
	Set the internal Epetra_Flops() pointer.
void	SetFlopCounter (const Epetra_CompObject &CompObject)
	Set the internal Epetra_Flops() pointer to the flop counter of another Epetra_CompObject.
void	UnsetFlopCounter ()
	Set the internal Epetra_Flops() pointer to 0 (no flops counted).
Epetra_Flops *	GetFlopCounter () const
	Get the pointer to the Epetra_Flops() object associated with this object, returns 0 if none.
void	ResetFlops () const
	Resets the number of floating point operations to zero for this multi-vector.
double	Flops () const
	Returns the number of floating point operations with this multi-vector.
void	UpdateFlops (int Flops_in) const
	Increment Flop count for this object.
void	UpdateFlops (long int Flops_in) const
	Increment Flop count for this object.
void	UpdateFlops (long long Flops_in) const
	Increment Flop count for this object.
void	UpdateFlops (double Flops_in) const
	Increment Flop count for this object.
void	UpdateFlops (float Flops_in) const
	Increment Flop count for this object.
Public Member Functions inherited from Epetra_Object
	Epetra_Object (int TracebackModeIn=-1, bool set_label=true)
	Epetra_Object Constructor. More...
	Epetra_Object (const char *const Label, int TracebackModeIn=-1)
	Epetra_Object Constructor. More...
	Epetra_Object (const Epetra_Object &Object)
	Epetra_Object Copy Constructor. More...
virtual	~Epetra_Object ()
	Epetra_Object Destructor. More...
virtual int	ReportError (const std::string Message, int ErrorCode) const
	Error reporting method.
virtual void	SetLabel (const char *const Label)
	Epetra_Object Label definition using char *. More...
Public Member Functions inherited from Epetra_SerialDenseOperator
virtual	~Epetra_SerialDenseOperator ()
	Destructor.
Public Member Functions inherited from Epetra_BLAS
	Epetra_BLAS (void)
	Epetra_BLAS Constructor. More...
	Epetra_BLAS (const Epetra_BLAS &BLAS)
	Epetra_BLAS Copy Constructor. More...
virtual	~Epetra_BLAS (void)
	Epetra_BLAS Destructor.
float	ASUM (const int N, const float *X, const int INCX=1) const
	Epetra_BLAS one norm function (SASUM).
double	ASUM (const int N, const double *X, const int INCX=1) const
	Epetra_BLAS one norm function (DASUM).
float	DOT (const int N, const float *X, const float *Y, const int INCX=1, const int INCY=1) const
	Epetra_BLAS dot product function (SDOT).
double	DOT (const int N, const double *X, const double *Y, const int INCX=1, const int INCY=1) const
	Epetra_BLAS dot product function (DDOT).
float	NRM2 (const int N, const float *X, const int INCX=1) const
	Epetra_BLAS norm function (SNRM2).
double	NRM2 (const int N, const double *X, const int INCX=1) const
	Epetra_BLAS norm function (DNRM2).
void	SCAL (const int N, const float ALPHA, float *X, const int INCX=1) const
	Epetra_BLAS vector scale function (SSCAL)
void	SCAL (const int N, const double ALPHA, double *X, const int INCX=1) const
	Epetra_BLAS vector scale function (DSCAL)
void	COPY (const int N, const float *X, float *Y, const int INCX=1, const int INCY=1) const
	Epetra_BLAS vector copy function (SCOPY)
void	COPY (const int N, const double *X, double *Y, const int INCX=1, const int INCY=1) const
	Epetra_BLAS vector scale function (DCOPY)
int	IAMAX (const int N, const float *X, const int INCX=1) const
	Epetra_BLAS arg maximum of absolute value function (ISAMAX)
int	IAMAX (const int N, const double *X, const int INCX=1) const
	Epetra_BLAS arg maximum of absolute value function (IDAMAX)
void	AXPY (const int N, const float ALPHA, const float *X, float *Y, const int INCX=1, const int INCY=1) const
	Epetra_BLAS vector update function (SAXPY)
void	AXPY (const int N, const double ALPHA, const double *X, double *Y, const int INCX=1, const int INCY=1) const
	Epetra_BLAS vector update function (DAXPY)
void	GEMV (const char TRANS, const int M, const int N, const float ALPHA, const float *A, const int LDA, const float *X, const float BETA, float *Y, const int INCX=1, const int INCY=1) const
	Epetra_BLAS matrix-vector multiply function (SGEMV)
void	GEMV (const char TRANS, const int M, const int N, const double ALPHA, const double *A, const int LDA, const double *X, const double BETA, double *Y, const int INCX=1, const int INCY=1) const
	Epetra_BLAS matrix-vector multiply function (DGEMV)
void	GEMM (const char TRANSA, const char TRANSB, const int M, const int N, const int K, const float ALPHA, const float *A, const int LDA, const float *B, const int LDB, const float BETA, float *C, const int LDC) const
	Epetra_BLAS matrix-matrix multiply function (SGEMM)
void	GEMM (const char TRANSA, const char TRANSB, const int M, const int N, const int K, const double ALPHA, const double *A, const int LDA, const double *B, const int LDB, const double BETA, double *C, const int LDC) const
	Epetra_BLAS matrix-matrix multiply function (DGEMM)
void	SYMM (const char SIDE, const char UPLO, const int M, const int N, const float ALPHA, const float *A, const int LDA, const float *B, const int LDB, const float BETA, float *C, const int LDC) const
	Epetra_BLAS symmetric matrix-matrix multiply function (SSYMM)
void	SYMM (const char SIDE, const char UPLO, const int M, const int N, const double ALPHA, const double *A, const int LDA, const double *B, const int LDB, const double BETA, double *C, const int LDC) const
	Epetra_BLAS matrix-matrix multiply function (DSYMM)
void	TRMM (const char SIDE, const char UPLO, const char TRANSA, const char DIAG, const int M, const int N, const float ALPHA, const float *A, const int LDA, float *B, const int LDB) const
	Epetra_BLAS triangular matrix-matrix multiply function (STRMM)
void	TRMM (const char SIDE, const char UPLO, const char TRANSA, const char DIAG, const int M, const int N, const double ALPHA, const double *A, const int LDA, double *B, const int LDB) const
	Epetra_BLAS triangular matrix-matrix multiply function (DTRMM)
void	SYRK (const char UPLO, const char TRANS, const int N, const int K, const float ALPHA, const float *A, const int LDA, const float BETA, float *C, const int LDC) const
	Eperta_BLAS symetric rank k funtion (ssyrk)
void	SYRK (const char UPLO, const char TRANS, const int N, const int K, const double ALPHA, const double *A, const int LDA, const double BETA, double *C, const int LDC) const
	Eperta_BLAS symetric rank k funtion (dsyrk)

Additional Inherited Members
Static Public Member Functions inherited from Epetra_Object
static void	SetTracebackMode (int TracebackModeValue)
	Set the value of the Epetra_Object error traceback report mode. More...
static int	GetTracebackMode ()
	Get the value of the Epetra_Object error report mode.
static std::ostream &	GetTracebackStream ()
	Get the output stream for error reporting.
Static Public Attributes inherited from Epetra_Object
static int	TracebackMode
Protected Member Functions inherited from Epetra_SerialDenseMatrix
void	CopyMat (const double *Source, int Source_LDA, int NumRows, int NumCols, double *Target, int Target_LDA, bool add=false)
void	CleanupData ()
Protected Member Functions inherited from Epetra_Object
std::string	toString (const int &x) const
std::string	toString (const long long &x) const
std::string	toString (const double &x) const
Protected Attributes inherited from Epetra_SerialDenseMatrix
int	M_
int	N_
bool	A_Copied_
Epetra_DataAccess	CV_
int	LDA_
double *	A_
bool	UseTranspose_
Protected Attributes inherited from Epetra_CompObject
Epetra_Flops *	FlopCounter_

Detailed Description

Epetra_SerialDenseVector: A class for constructing and using dense vectors.

The Epetra_SerialDenseVector class enables the construction and use of real-valued,
double-precision dense vectors.  It is built on the BLAS and LAPACK and derives from the Epetra_SerialDenseMatrix class.

The Epetra_SerialDenseVector class is intended to provide convenient vector notation but derives all signficant functionality from Epetra_SerialDenseMatrix.

Constructing Epetra_SerialDenseVector Objects

There are four Epetra_SerialDenseVector constructors. The first constructs a zero-length object which should be made to appropriate length using the Size() or Resize() functions and then filled with the [] or () operators. The second constructs an object sized to the dimension specified, which should be filled with the [] or () operators. The third is a constructor that accepts user data as a 1D array, and the fourth is a copy constructor. The third constructor has two data access modes (specified by the Epetra_DataAccess argument):

1. Copy mode - Allocates memory and makes a copy of the user-provided data. In this case, the user data is not needed after construction.
2. View mode - Creates a "view" of the user data. In this case, the user data is required to remain intact for the life of the object.

Warning

View mode is extremely dangerous from a data hiding perspective. Therefore, we strongly encourage users to develop code using Copy mode first and only use the View mode in a secondary optimization phase.

Extracting Data from Epetra_SerialDenseVector Objects

Once a Epetra_SerialDenseVector is constructed, it is possible to view the data via access functions.

Warning

Use of these access functions cam be extremely dangerous from a data hiding perspective.

The final useful function is Flops(). Each Epetra_SerialDenseVector object keep track of the number of serial floating point operations performed using the specified object as the this argument to the function. The Flops() function returns this number as a double precision number. Using this information, in conjunction with the Epetra_Time class, one can get accurate parallel performance numbers.

Constructor & Destructor Documentation

Epetra_SerialDenseVector::Epetra_SerialDenseVector

(

)

Default constructor; defines a zero size object.

Epetra_SerialDenseVector objects defined by the default constructor should be sized with the Size() or Resize functions. Values should be defined by using the [] or () operators.

Epetra_SerialDenseVector::Epetra_SerialDenseVector

(

int

Length

)

Sized constructor; defines a variable-sized object.

Parameters

In	Length - Length of vector.

Epetra_SerialDenseVector objects defined by the sized constructor are already sized to the dimension given as a parameter. All values are initialized to 0. Calling this constructor is equivalent to using the default constructor, and then calling the Size function on it. Values should be defined by using the [] or () operators.

Epetra_SerialDenseVector::Epetra_SerialDenseVector	(	Epetra_DataAccess	CV,
		double *	Values,
		int	Length
	)

Set object values from one-dimensional array.

Parameters

In	Epetra_DataAccess - Enumerated type set to Copy or View.
In	Values - Pointer to an array of double precision numbers containing the values.
In	Length - Length of vector.

See Detailed Description section for further discussion.

Member Function Documentation

double Epetra_SerialDenseVector::Dot

(

const Epetra_SerialDenseVector &

x

)

const

Compute 1-norm of each vector in multi-vector.

Parameters

x	(In) Input vector x.

Returns

Dot-product of the this vector and x.

double Epetra_SerialDenseVector::Norm1

(

)

const

Compute 1-norm of each vector in multi-vector.

Returns

1-norm of the vector.

double Epetra_SerialDenseVector::Norm2

(

)

const

Compute 2-norm of each vector in multi-vector.

Parameters

Out

Returns

2-norm of the vector.

double Epetra_SerialDenseVector::NormInf ( ) const

virtual

Compute Inf-norm of each vector in multi-vector.

Returns

Infinity-norm of the vector.

Reimplemented from Epetra_SerialDenseMatrix.

double & Epetra_SerialDenseVector::operator() ( int  Index )

inline

Element access function.

Returns the specified element of the vector. Bounds checking is enforced.

Returns

Specified element in vector.

Warning

No bounds checking is done unless Epetra is compiled with HAVE_EPETRA_ARRAY_BOUNDS_CHECK.

References Epetra_Object::ReportError().

const double & Epetra_SerialDenseVector::operator() ( int  Index ) const

inline

Element access function.

Returns the specified element of the vector. Bounds checking is enforced.

Returns

Specified element in vector.

Warning

No bounds checking is done unless Epetra is compiled with HAVE_EPETRA_ARRAY_BOUNDS_CHECK.

References Epetra_Object::ReportError().

Epetra_SerialDenseVector& Epetra_SerialDenseVector::operator=

(

const Epetra_SerialDenseVector &

Source

)

Value copy from one vector to another.

The operator= allows one to copy the values from one existing SerialDenseVector to another, as long as there is enough room in the target to hold the source.

Returns

Values of the left hand side vector are modified by the values of the right hand side vector.

double & Epetra_SerialDenseVector::operator[] ( int  Index )

inline

Element access function.

Returns the specified element of the vector.

Returns

Specified element in vector.

Warning

No bounds checking is done unless Epetra is compiled with HAVE_EPETRA_ARRAY_BOUNDS_CHECK.

References Epetra_Object::ReportError().

const double & Epetra_SerialDenseVector::operator[] ( int  Index ) const

inline

Column access function.

Returns the specified element of the vector.

Returns

Specified element in vector.

Warning

No bounds checking is done unless Epetra is compiled with HAVE_EPETRA_ARRAY_BOUNDS_CHECK.

References Epetra_Object::ReportError().

int Epetra_SerialDenseVector::Random

(

)

Set vector values to random numbers.

SerialDenseVector uses the random number generator provided by Epetra_Util.
The vector values will be set to random values on the interval (-1.0, 1.0).

Returns

Integer error code, set to 0 if successful.

int Epetra_SerialDenseVector::Resize ( int  Length_in )

inline

Resize a Epetra_SerialDenseVector object.

Parameters

In	Length - Length of vector object.

Allows user to define the dimension of a Epetra_SerialDenseVector. This function can be called at any point after construction. Any values that were previously in this object are copied into the new size. If the new shape is smaller than the original, the first Length values are copied to the new vector.

Returns

Integer error code, set to 0 if successful.

References Epetra_SerialDenseMatrix::Reshape().

int Epetra_SerialDenseVector::Size ( int  Length_in )

inline

Set length of a Epetra_SerialDenseVector object; init values to zero.

Parameters

In	Length - Length of vector object.

Allows user to define the dimension of a Epetra_SerialDenseVector. This function can be called at any point after construction. Any values that were previously in this object are destroyed and the resized vector starts off with all zero values.

Returns

Integer error code, set to 0 if successful.

References Epetra_SerialDenseMatrix::Shape().

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

• Epetra_SerialDenseVector.h