C++ main module for mmsd Package  1.0
Public Member Functions | Static Public Member Functions | Static Public Attributes | Protected Member Functions | List of all members
LAP_DoubleBandedSymmetricMatrix Class Referenceabstract

this class describes a packed symmetric matrix for lapack used where values are stored in vector: {A(0,0) A(0,1) A(1,1) A(2,0),A(2,1) A(2,2) ....A(n,n)} More...

#include <LAP_DoubleBandedSymmetricMatrix.h>

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Public Member Functions

 LAP_DoubleBandedSymmetricMatrix ()
 build a matrix More...
 
 LAP_DoubleBandedSymmetricMatrix (const LAP_DoubleBandedSymmetricMatrix &mat)
 build a matrix for equality operator in construction More...
 
virtual ~LAP_DoubleBandedSymmetricMatrix ()
 destroy a matrix More...
 
virtual SP::LAP_DoubleMatrix NewInstance () const
 create a New instance of this More...
 
virtual double & operator() (const tLVectorIndex &i, const tLVectorIndex &j)
 accessor of element at row i and column j taking into account the view only use the upper diagonal More...
 
virtual const double & operator() (const tLVectorIndex &i, const tLVectorIndex &j) const
 accessor of element at row i and column j taking into account the view only use the upper diagonal More...
 
LAP_DoubleBandedSymmetricMatrix & operator= (const double &s)
 init all the matrix to s More...
 
LAP_DoubleBandedSymmetricMatrix & operator= (const LAP_DoubleMatrix &s)
 init all the matrix to s More...
 
LAP_DoubleBandedSymmetricMatrix & operator^= (const lapack_real &s)
 power by s the matrix v More...
 
LAP_DoubleBandedSymmetricMatrix & operator*= (const lapack_real &s)
 multiply by s the matrix More...
 
LAP_DoubleBandedSymmetricMatrix & operator/= (const lapack_real &s)
 divide by s the matrix v More...
 
LAP_DoubleBandedSymmetricMatrix & operator+= (const lapack_real &s)
 add s to the upper matrix More...
 
LAP_DoubleBandedSymmetricMatrix & operator-= (const lapack_real &s)
 sub s to the upper matrix More...
 
LAP_DoubleBandedSymmetricMatrix & operator*= (const LAP_DoubleBandedSymmetricMatrix &s)
 multiply the viewed matrices term by term More...
 
LAP_DoubleBandedSymmetricMatrix & operator/= (const LAP_DoubleBandedSymmetricMatrix &s)
 divide the viewed matrices term by term More...
 
LAP_DoubleBandedSymmetricMatrix & operator-= (const LAP_DoubleBandedSymmetricMatrix &s)
 sub the viewed matrix More...
 
LAP_DoubleBandedSymmetricMatrix & operator+= (const LAP_DoubleBandedSymmetricMatrix &s)
 add the viewed matrix More...
 
virtual void setSize (const tLVectorIndex &nRows, const tLVectorIndex &nCols)
 set the dimension of the matrix More...
 
virtual void setSize (const tLVectorIndex &n)
 set the dimension of the matrix More...
 
void setBandsNumber (const tLVectorIndex &n)
 set bands number More...
 
virtual void setValues (SP::LAP_DoubleVector values)
 set the values set the pointer values of the matrix to values the size of the vector is mBandsNumber*nCols More...
 
virtual void setValues (const tLVectorIndex &n, const double *values)
 set the values More...
 
tBoolean compile ()
 compile the banded matrix More...
 
LAP_DoubleBandedStorage & getBandedStorage ()
 GET. More...
 
const LAP_DoubleBandedStorage & getBandedStorage () const
 get the banded storage More...
 
const tLVectorIndex & getBandsNumber () const
 get bands number More...
 
const tLVectorIndex & getUpperBandsNumber () const
 get upper bands number More...
 
virtual void getColumn (const tLVectorIndex &j, LAP_DoubleVector &v) const
 get the j-th column of this symmetric matrix in a vector More...
 
virtual void getColumn (const tLVectorIndex &j, SP::LAP_DoubleVector v) const
 get the j-th column of this symmetric matrix in a vector More...
 
virtual void getRow (const tLVectorIndex &i, LAP_DoubleVector &v) const
 get the i-th row in a vector More...
 
virtual void getRow (const tLVectorIndex &i, SP::LAP_DoubleVector v) const
 get the i-th row in a vector More...
 
virtual tReal norm2 () const
 return norm2 sqrt(sum_ij(aij^2))=sqrt(tr(AtA)); More...
 
virtual tReal norm2 (LAP_DoubleVector &v) const
 return norm2 of the matrix and for each row; More...
 
virtual tReal sum (const tFlag &d, LAP_DoubleVector &s) const
 make the sum among the direction if (d==ROW) sum all the columns of each row and size of s is the number of rows if (d==COL) sum all the rows of each column and size of s is the number of columns ^return the sum of all the element of the matrix More...
 
virtual tReal sum (const tFlag &d, const tLVectorIndex &index) const
 make the sum among the direction if (d==ROW) sum all the columns of row index if (d==COL) sum all the rows of coluln at index More...
 
virtual void vectorProduct (const LAP_DoubleVector &X, LAP_DoubleVector &Y)
 compute Y=A.X More...
 
virtual void vectorProduct (const LAP_DoubleVector &X, const lapack_real &alpha, const lapack_real &beta, LAP_DoubleVector &Y) const
 compute Y:=betaY+alpha.This.X More...
 
virtual void vectorProduct (const LAP_ConstDoubleVector &X, const lapack_real &alpha, const lapack_real &beta, LAP_DoubleVector &Y) const
 compute Y:=betaY+alpha.This.X More...
 
virtual void vectorProduct (const tBoolean &isTrans, const tLVectorIndex &nX, const tLVectorIncrement &incX, const double *X, const lapack_real &alpha, const lapack_real &beta, const tLVectorIndex &nY, const tLVectorIncrement &incY, double *Y) const
 compute Y= op(This). X with op(A)=A or tA depending on isTrans value More...
 
virtual void vectorProduct (const tLVectorIndex &nx, const tLVectorIncrement &incx, const double *x, const lapack_real &alpha, const lapack_real &beta, const tLVectorIndex &ny, const tLVectorIncrement &incy, double *y) const
 compute Y= betaY + alpha. This. X More...
 
void rankSymmetricProduct (const LAP_DoubleFullGeneralMatrix &A)
 compute the symmetric matrix This:=A. tA More...
 
void rankSymmetricProduct (const double alpha, const tBoolean &isTransA, const LAP_DoubleFullGeneralMatrix &A)
 compute the symmetric matrix This:=alpha. op(A).t(op(A)) More...
 
virtual void rankSymmetricProduct (const double &alpha, const double &beta, const tLVectorIndex &nARows, const tLVectorIndex &nACols, const tLVectorIncrement &incA, const tLVectorIndex &ldA, const tBoolean &isTransA, const double *A)
 compute the symmetric matrix This:=beta.This+alpha op(A).t(op(A)) More...
 
virtual SP::LAP_DoubleMatrix matrixProduct (const LAP_DoubleMatrix &B) const
 return C=(This) . B More...
 
void matrixProduct (const LAP_DoubleFullGeneralMatrix &B, LAP_DoubleFullGeneralMatrix &C) const
 return C=(This) . B More...
 
virtual void matrixProduct (const tBoolean &leftSide, const LAP_DoubleFullGeneralMatrix &B, const lapack_real &alpha, const lapack_real &beta, LAP_DoubleFullGeneralMatrix &C) const
 make the product if (leftSide) C = alpha. This . B +beta C if (!leftSide) C = alpha. B . This +beta C More...
 
virtual void matrixProduct (const tBoolean &leftSide, const tLVectorIndex &nBRows, const tLVectorIndex &nBCols, const tLVectorIncrement &incB, const tLVectorIndex &ldB, const double *B, const lapack_real &alpha, const lapack_real &beta, LAP_DoubleFullGeneralMatrix &C) const
 make the product: More...
 
virtual tBoolean computeEigenValues (LAP_DoubleVector &U) const
 compute the eigen values of This: A is copied in ascending order More...
 
tBoolean computeEigenValueDecomposition (LAP_DoubleVector &U, LAP_DoubleFullGeneralMatrix &W) const
 compute the eigen elements in ascending order of This the eigen vectors are set in This: This is destroyed More...
 
tBoolean computeEigenValueDecomposition (LAP_DoubleVector &U, LAP_DoubleFullGeneralMatrix &VR, const int &il, const int &iu) const
 compute the eigen elements in ascending order of This supposed to be symmetric, the eigen vectors are set in Z, A must be symmetric and is copied only the eigen values & vectors are computed in index il and iu when the iegen values are ordering in an ascent order. More...
 
virtual SP::LAP_DoubleUpperMatrix choleskyFactorization ()
 compute the choleskey factorization of the full symmetric matrix A is modified such that the upper matrix of A is the matrix upper triangular matrix U : A = tU. U More...
 
virtual tBoolean isSymmetric () const
 return true if the matrix is symmetric More...
 
virtual tBoolean isUpper () const
 return true if the matrix is upper More...
 
const double & operator[] (const tLVectorIndex &index) const
 get the element at index More...
 
double & operator[] (const tLVectorIndex &index)
 get the element at index More...
 
virtual tBoolean copy (const LAP_DoubleMatrix &x)
 copy a matrix More...
 
tBoolean copy (SPC::LAP_DoubleMatrix x)
 copy a matrix More...
 
tBoolean copy (LAP_DoubleMatrix *x)
 copy a matrix More...
 
virtual tBoolean copy (const LAP_Matrix &matrix)
 copy operator More...
 
void init (const double v)
 init the values to v More...
 
void set (const tLVectorIndex &i, const tLVectorIndex &j, const double &v)
 set the value of the element at row i and column j More...
 
void add (const tLVectorIndex &i, const tLVectorIndex &j, const double &v)
 add v to the view term (i,j) of the matrix More...
 
void setStorage (SP::LAP_DoubleMatrixStorage s)
 set the storage More...
 
double get (const tLVectorIndex &i, const tLVectorIndex &j) const
 get the value taking into account the view More...
 
LAP_DoubleMatrixStorage & getStorage ()
 set the storage More...
 
const LAP_DoubleMatrixStorage & getStorage () const
 set the storage More...
 
double trace () const
 return trace More...
 
void addDiagonal (const double &alpha)
 This +=alpha.I. More...
 
pair< tLVectorIndex,
tLVectorIndex > 		computeBandsNumber () const
 
double getFillRate () const
 get the fill rate of the matrix More...
 
tLVectorIndex getNullValuesNumber () const
 get the number of null values More...
 
tLVectorIndex getValuesNumber () const
 get the number of values More...
 
virtual SP::LAP_DoubleVector vectorProduct (const LAP_DoubleVector &X) const
 compute This. X More...
 
virtual void vectorProduct (const LAP_DoubleVector &X, LAP_DoubleVector &Y) const
 compute Y= This. X More...
 
virtual void vectorProduct (SPC::LAP_DoubleVector &X, SP::LAP_DoubleVector &Y) const
 rcompute Y= This X More...
 
virtual void vectorProduct (const tBoolean &isTrans, const LAP_DoubleVector &X, LAP_DoubleVector &Y) const
 compute Y= op(This). X More...
 
virtual void vectorProduct (const tBoolean &isTrans, const tLVectorIndex &nX, const tLVectorIncrement &incX, const double *X, const double &alpha, const double &beta, const tLVectorIndex &nY, const tLVectorIncrement &incY, double *Y) const =0
 compute Y= beta Y + alpha op(This). X with op(A)=A or tA depending on isTrans value More...
 
virtual tString toString () const
 print the matrix taking into account the view More...
 
const tLVectorIndex & getSize (const tFlag &direction) const
 get the size in direction More...
 
virtual tLVectorIndex getRowsNumber () const
 get the lines number of the matrix from view More...
 
virtual tLVectorIndex getColumnsNumber () const
 get the columns number of the matrix from view More...
 
double & getNullValue ()
 get a null value More...
 
const double & getNullValue () const
 get a const null value More...
 
tBoolean isNullValue (const double &v) const
 return true if the value is a null More...
 
void getSharedPointer (SP::CORE_Object &p)
 get the shared pointer of this class into p More...
 
void getSharedPointer (SPC::CORE_Object &p) const
 get the shared pointer of this class into p More...
 
tString getClassName () const
 return the class name of the object More...
 
tString getIdentityString () const
 return the identity string of the object of the form className_at_address More...
 
tString getPointerAddress () const
 return the identity string of the object More...
 
template<class T >
tBoolean isInstanceOf () const
 return true if the object is an instance of T More...
 
virtual void print ()
 print the class More...
 
virtual ostream & print (ostream &out) const
 print the class More...
 
virtual void print (const tString &message)
 print the class More...
 
virtual void print (const tInteger &str)
 print More...
 
virtual void print (const tRelativeInteger &str)
 print More...
 
virtual void print (const tReal &str)
 print More...
 
virtual void print (const int &str)
 print More...
 

Static Public Member Functions

static
SP::LAP_DoubleBandedSymmetricMatrix 		New ()
 
static
SP::LAP_DoubleBandedSymmetricMatrix 		New (const tLVectorIndex &n)
 
static void matrixProduct (const tBoolean &leftSide, const LAP_DoubleBandedSymmetricMatrix &S, const LAP_DoubleFullGeneralMatrix &B, const lapack_real &alpha, const lapack_real &beta, LAP_DoubleFullGeneralMatrix &C)
 compute : More...
 
static tBoolean computeEigenValues (LAP_DoubleBandedSymmetricMatrix &A, LAP_DoubleVector &U)
 compute the eigen values of A in ascending order and A is destroyed after method lapack method dsyev called More...
 
static tBoolean computeEigenValueDecomposition (LAP_DoubleBandedSymmetricMatrix &A, LAP_DoubleVector &U, LAP_DoubleFullGeneralMatrix &Z, LAP_DoubleFullGeneralMatrix &Q, const lapack_int &il, const lapack_int &ul)
 compute the eigen elements of A in ascending order . A is supposed to be symmetric, the eigen vectors are set in Z, A must be symmetric. only the eigen values & vectors are computed in index il and iu when the iegen values are ordering in an ascent order. More...
 
static double zpow (const double &f, const int &n)
 compute the value of pow(f,n)=f^n More...
 
static tString getClassName (const tString &identityString)
 return the class name of the object using only the identity string More...
 
template<class T >
static tString getTypeName ()
 get type name More...
 
static tBoolean is64Architecture ()
 return true if the machine is a 64 bits machine More...
 
static tBoolean is32Architecture ()
 return true if the machine is a 32 bits machine More...
 
static tString pointer2String (const void *obj)
 return the string represantation of a pointer More...
 
static void setOutput (ostream &out)
 set output More...
 
static ostream & getOutput ()
 get output More...
 
static void printObjectsInMemory ()
 print object in memory More...
 
static ostream & print (ostream &out, const tString &message)
 print the class More...
 
static void outputPrint (const tString &message)
 

Static Public Attributes

static const tFlag ROW =0
 
static const tFlag COL =1
 
static double ZERO_EPSILON =1.e-18
 
static tBoolean mIsMemoryTesting =false
 indicator to store all classes created and deleted only for debuging version More...
 

Protected Member Functions

void setThis (SP::CORE_Object p)
 set this weak shared pointer called toDoAfterThis setting method More...
 
virtual void setType (tString type)
 set the type of the object More...
 
virtual void toDoAfterThisSetting ()
 method called after setThis() method this method can oly be called once. More...
 

Detailed Description

this class describes a packed symmetric matrix for lapack used where values are stored in vector: {A(0,0) A(0,1) A(1,1) A(2,0),A(2,1) A(2,2) ....A(n,n)}

This class describes a matrix

Constructor & Destructor Documentation

LAP_DoubleBandedSymmetricMatrix::LAP_DoubleBandedSymmetricMatrix ( )

build a matrix

References LAP_DoubleBandedStorage::New(), and LAP_DoubleMatrix::setStorage().

Referenced by New().

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LAP_DoubleBandedSymmetricMatrix::LAP_DoubleBandedSymmetricMatrix ( const LAP_DoubleBandedSymmetricMatrix &  mat)

build a matrix for equality operator in construction

References LAP_DoubleMatrix::copy(), LAP_DoubleBandedStorage::New(), and LAP_DoubleMatrix::setStorage().

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LAP_DoubleBandedSymmetricMatrix::~LAP_DoubleBandedSymmetricMatrix ( )
virtual

destroy a matrix

Member Function Documentation

void LAP_DoubleMatrix::add ( const tLVectorIndex &  i,
const tLVectorIndex &  j,
const double &  v 
)
inlineinherited

add v to the view term (i,j) of the matrix

Parameters
i: row of the element
jcolumn of the element
vvalue to add
void LAP_DoubleMatrix::addDiagonal ( const double &  alpha)
inlineinherited

This +=alpha.I.

Referenced by MATH_StiefelOptimizer::minimize().

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virtual SP::LAP_DoubleUpperMatrix LAP_DoubleBandedSymmetricMatrix::choleskyFactorization ( )
inlinevirtual

compute the choleskey factorization of the full symmetric matrix A is modified such that the upper matrix of A is the matrix upper triangular matrix U : A = tU. U

Implements LAP_DoubleSymmetricMatrix.

tBoolean LAP_DoubleBandedSymmetricMatrix::compile ( )
inline

compile the banded matrix

References LAP_DoubleBandedStorage::compile(), and getBandedStorage().

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pair<tLVectorIndex,tLVectorIndex> LAP_DoubleMatrix::computeBandsNumber ( ) const
inlineinherited
tBoolean LAP_DoubleBandedSymmetricMatrix::computeEigenValueDecomposition ( LAP_DoubleVector &  U,
LAP_DoubleFullGeneralMatrix &  W 
) const
inline

compute the eigen elements in ascending order of This the eigen vectors are set in This: This is destroyed

References LAP_DoubleMatrix::copy().

Referenced by computeEigenValueDecomposition().

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tBoolean LAP_DoubleBandedSymmetricMatrix::computeEigenValueDecomposition ( LAP_DoubleVector &  U,
LAP_DoubleFullGeneralMatrix &  VR,
const int &  il,
const int &  iu 
) const
inline

compute the eigen elements in ascending order of This supposed to be symmetric, the eigen vectors are set in Z, A must be symmetric and is copied only the eigen values & vectors are computed in index il and iu when the iegen values are ordering in an ascent order.

References computeEigenValueDecomposition().

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static tBoolean LAP_DoubleBandedSymmetricMatrix::computeEigenValueDecomposition ( LAP_DoubleBandedSymmetricMatrix &  A,
LAP_DoubleVector &  U,
LAP_DoubleFullGeneralMatrix &  Z,
LAP_DoubleFullGeneralMatrix &  Q,
const lapack_int &  il,
const lapack_int &  ul 
)
inlinestatic

compute the eigen elements of A in ascending order . A is supposed to be symmetric, the eigen vectors are set in Z, A must be symmetric. only the eigen values & vectors are computed in index il and iu when the iegen values are ordering in an ascent order.

Parameters
A(IN/OUT) symmetric Matrix
Ueigen values (OUT)
Zeigen vectors (OUT)
ilmin eigen values index >= 1
ul: max eigen values index <= A.getSize(ROW) dsyevx lapack method called

References DoubleBandedSymmetricMatrixBoundedEigenValues(), getBandsNumber(), LAP_DoubleFullGeneralMatrix::getLeadingDimension(), LAP_Matrix::getRowsNumber(), LAP_Vector< T >::resetView(), LAP_DoubleFullGeneralMatrix::setSize(), LAP_Vector< T >::setSize(), and tLVectorIndex.

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virtual tBoolean LAP_DoubleBandedSymmetricMatrix::computeEigenValues ( LAP_DoubleVector &  U) const
inlinevirtual

compute the eigen values of This: A is copied in ascending order

Implements LAP_DoubleMatrix.

static tBoolean LAP_DoubleBandedSymmetricMatrix::computeEigenValues ( LAP_DoubleBandedSymmetricMatrix &  A,
LAP_DoubleVector &  U 
)
inlinestatic

compute the eigen values of A in ascending order and A is destroyed after method lapack method dsyev called

References DoubleBandedSymmetricMatrixEigenValues(), getBandsNumber(), LAP_Matrix::getColumnsNumber(), LAP_Matrix::getRowsNumber(), null, LAP_Vector< T >::resetView(), LAP_Vector< T >::setSize(), and tLVectorIndex.

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virtual tBoolean LAP_Matrix::copy ( const LAP_Matrix &  matrix)
inlinevirtualinherited

copy operator

Parameters
mmatrix to copy
Returns
false if the allocation failed

References LAP_Matrix::COL, LAP_Matrix::getSize(), and LAP_Matrix::ROW.

Referenced by LAP_DoubleMatrix::copy().

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tBoolean LAP_DoubleMatrix::copy ( const LAP_DoubleMatrix &  x)
virtualinherited

copy a matrix

Parameters
xthe matrix to copy

References LAP_Matrix::copy(), LAP_DoubleMatrixStorage::copy(), LAP_DoubleMatrix::getStorage(), LAP_DoubleMatrix::isSymmetric(), LAP_DoubleFullGeneralMatrix::isTransposed(), LAP_DoubleMatrix::isUpper(), null, and tBoolean.

Referenced by computeEigenValueDecomposition(), LAP_DoubleFullUpperMatrix::computeEigenValueDecomposition(), LAP_DoubleFullGeneralMatrix::computeEigenValueDecomposition(), LAP_DoublePackedSymmetricMatrix::computeEigenValueDecomposition(), LAP_DoubleFullSymmetricMatrix::computeEigenValueDecomposition(), LAP_DoubleMatrix::copy(), MMSD_DoubleSymmetricMatrix::copy(), LAP_DoubleBandedSymmetricMatrix(), LAP_DoubleBandedUpperMatrix::LAP_DoubleBandedUpperMatrix(), LAP_DoubleFullGeneralMatrix::LAP_DoubleFullGeneralMatrix(), LAP_DoubleFullSymmetricMatrix::LAP_DoubleFullSymmetricMatrix(), LAP_DoubleFullUpperMatrix::LAP_DoubleFullUpperMatrix(), LAP_DoublePackedSymmetricMatrix::LAP_DoublePackedSymmetricMatrix(), LAP_DoublePackedUpperMatrix::LAP_DoublePackedUpperMatrix(), LAP_DoublePackedUpperMatrix::matrixProduct(), LAP_DoubleBandedUpperMatrix::matrixProduct(), LAP_DoubleFullUpperMatrix::matrixProduct(), LAP_DoubleFullGeneralMatrix::matrixProduct(), MATH_StiefelOptimizer::minimize(), LAP_DoubleBandedUpperMatrix::operator=(), operator=(), LAP_DoublePackedSymmetricMatrix::operator=(), LAP_DoubleFullUpperMatrix::operator=(), LAP_DoubleFullSymmetricMatrix::operator=(), LAP_DoubleFullGeneralMatrix::operator=(), LAP_DoublePackedUpperMatrix::operator=(), and LAP_DoubleFullGeneralMatrix::solve().

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tBoolean LAP_DoubleMatrix::copy ( SPC::LAP_DoubleMatrix  x)
inlineinherited

copy a matrix

Parameters
xthe matrix to copy

References LAP_DoubleMatrix::copy(), and null.

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tBoolean LAP_DoubleMatrix::copy ( LAP_DoubleMatrix *  x)
inlineinherited

copy a matrix

Parameters
xthe matrix to copy

References LAP_DoubleMatrix::copy(), and null.

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double LAP_DoubleMatrix::get ( const tLVectorIndex &  i,
const tLVectorIndex &  j 
) const
inlineinherited

get the value taking into account the view

Referenced by MMSD_DataSet::getProperties(), matrixProduct(), LAP_DoublePackedUpperMatrix::matrixProduct(), LAP_DoublePackedSymmetricMatrix::matrixProduct(), LAP_DoubleBandedUpperMatrix::matrixProduct(), LAP_DoubleFullSymmetricMatrix::matrixProduct(), LAP_DoubleFullUpperMatrix::matrixProduct(), LAP_DoubleFullGeneralMatrix::matrixProduct(), testEigenFunction(), testOptimize(), testOptimizerGProject1(), testOptimizerGProject2(), and testOptimizerHInverse().

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LAP_DoubleBandedStorage& LAP_DoubleBandedSymmetricMatrix::getBandedStorage ( )
inline

GET.

get the banded storage

References LAP_DoubleMatrix::getStorage().

Referenced by compile(), getBandsNumber(), getUpperBandsNumber(), operator()(), operator*=(), operator+=(), operator-=(), operator/=(), operator^=(), rankSymmetricProduct(), setBandsNumber(), and setSize().

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const LAP_DoubleBandedStorage& LAP_DoubleBandedSymmetricMatrix::getBandedStorage ( ) const
inline

get the banded storage

References LAP_DoubleMatrix::getStorage().

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const tLVectorIndex& LAP_DoubleBandedSymmetricMatrix::getBandsNumber ( ) const
inline

get bands number

References getBandedStorage(), and LAP_DoubleBandedStorage::getBandsNumber().

Referenced by computeEigenValueDecomposition(), computeEigenValues(), getRow(), matrixProduct(), norm2(), setValues(), sum(), and vectorProduct().

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static tString CORE_Object::getClassName ( const tString &  identityString)
inlinestaticinherited

return the class name of the object using only the identity string

Referenced by UI_Class::createVector2D(), LAP_DoublePackedUpperMatrix::matrixProduct(), LAP_DoubleBandedUpperMatrix::matrixProduct(), LAP_DoubleFullUpperMatrix::matrixProduct(), and CORE_Object::printObjectsInMemory().

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tString CORE_Object::getClassName ( ) const
inherited

return the class name of the object

Returns
the class name of the object

References tString.

Referenced by CORE_Object::getIdentityString().

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void LAP_DoubleBandedSymmetricMatrix::getColumn ( const tLVectorIndex &  j,
LAP_DoubleVector &  v 
) const
virtual

get the j-th column of this symmetric matrix in a vector

Implements LAP_DoubleMatrix.

References LAP_Matrix::getColumnsNumber(), and getRow().

Referenced by getColumn().

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virtual void LAP_DoubleBandedSymmetricMatrix::getColumn ( const tLVectorIndex &  j,
SP::LAP_DoubleVector  v 
) const
inlinevirtual

get the j-th column of this symmetric matrix in a vector

Reimplemented from LAP_DoubleMatrix.

References ASSERT_IN, getColumn(), and null.

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virtual tLVectorIndex LAP_Matrix::getColumnsNumber ( ) const
inlinevirtualinherited

get the columns number of the matrix from view

Reimplemented in LAP_DoubleFullGeneralMatrix, LAP_DoubleFullUpperMatrix, and LAP_DoubleFullSymmetricMatrix.

References LAP_Matrix::getSize().

Referenced by computeEigenValues(), LAP_DoublePackedSymmetricMatrix::computeEigenValues(), LAP_DoublePackedUpperMatrix::getColumn(), LAP_DoublePackedSymmetricMatrix::getColumn(), LAP_DoubleBandedUpperMatrix::getColumn(), getColumn(), LAP_DoublePackedUpperMatrix::getRow(), LAP_DoublePackedSymmetricMatrix::getRow(), LAP_DoubleBandedUpperMatrix::getRow(), getRow(), LAP_DoublePackedSymmetricMatrix::matrixProduct(), LAP_DoublePackedUpperMatrix::matrixProduct(), LAP_DoubleBandedUpperMatrix::matrixProduct(), LAP_DoubleBandedUpperMatrix::norm2(), norm2(), MMSD_DoubleSymmetricMatrix::product(), LAP_DoublePackedUpperMatrix::rankProduct(), LAP_DoubleBandedUpperMatrix::rankProduct(), LAP_DoublePackedUpperMatrix::solve(), LAP_DoubleBandedUpperMatrix::solve(), LAP_DoublePackedUpperMatrix::sum(), LAP_DoublePackedSymmetricMatrix::sum(), LAP_DoubleBandedUpperMatrix::sum(), sum(), LAP_DoubleMatrix::toString(), LAP_DoubleMatrix::vectorProduct(), LAP_DoublePackedUpperMatrix::vectorProduct(), and LAP_DoubleBandedUpperMatrix::vectorProduct().

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double LAP_DoubleMatrix::getFillRate ( ) const
inlineinherited

get the fill rate of the matrix

tString CORE_Object::getIdentityString ( ) const
inlineinherited

return the identity string of the object of the form className_at_address

Returns
the identity string of the object

References CORE_Object::getClassName(), CORE_Object::pointer2String(), and tString.

Referenced by UI_Class::createPrimitiveMap(), UI_Class::saveAssociation(), UI_Class::saveClass(), UI_ClassFactory::saveIntoClass(), MATH_StiefelFunction::toString(), LAP_2DView::toString(), CORE_Object::toString(), MATH_StiefelOptimizer::toString(), and MM_Class::toString().

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double& LAP_Object::getNullValue ( )
inlineinherited

get a null value

Referenced by LAP_DoubleBandedStorage::operator()(), LAP_DoubleBandedUpperMatrix::operator()(), LAP_DoublePackedUpperMatrix::operator()(), and LAP_DoubleFullUpperMatrix::operator()().

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const double& LAP_Object::getNullValue ( ) const
inlineinherited

get a const null value

tLVectorIndex LAP_DoubleMatrix::getNullValuesNumber ( ) const
inlineinherited

get the number of null values

static ostream& CORE_Object::getOutput ( )
inlinestaticinherited

get output

tString CORE_Object::getPointerAddress ( ) const
inlineinherited

return the identity string of the object

Returns
the identity string of the object

References CORE_Object::pointer2String().

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void LAP_DoubleBandedSymmetricMatrix::getRow ( const tLVectorIndex &  i,
LAP_DoubleVector &  v 
) const
virtual

get the i-th row in a vector

Implements LAP_DoubleMatrix.

References getBandsNumber(), LAP_Matrix::getColumnsNumber(), LAP_Matrix::getRowsNumber(), LAP_Vector< T >::resetView(), LAP_Vector< T >::setSize(), and tLVectorIndex.

Referenced by getColumn(), and getRow().

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virtual void LAP_DoubleBandedSymmetricMatrix::getRow ( const tLVectorIndex &  i,
SP::LAP_DoubleVector  v 
) const
inlinevirtual

get the i-th row in a vector

Reimplemented from LAP_DoubleMatrix.

References ASSERT_IN, getRow(), and null.

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virtual tLVectorIndex LAP_Matrix::getRowsNumber ( ) const
inlinevirtualinherited

get the lines number of the matrix from view

Reimplemented in LAP_DoubleFullGeneralMatrix, LAP_DoubleFullUpperMatrix, and LAP_DoubleFullSymmetricMatrix.

References LAP_Matrix::getSize().

Referenced by computeEigenValueDecomposition(), LAP_DoublePackedSymmetricMatrix::computeEigenValueDecomposition(), computeEigenValues(), LAP_DoublePackedUpperMatrix::computeEigenValues(), LAP_DoubleBandedUpperMatrix::computeEigenValues(), LAP_DoublePackedSymmetricMatrix::computeEigenValues(), LAP_DoublePackedUpperMatrix::getColumn(), LAP_DoublePackedSymmetricMatrix::getColumn(), LAP_DoubleBandedUpperMatrix::getColumn(), LAP_DoublePackedUpperMatrix::getRow(), LAP_DoublePackedSymmetricMatrix::getRow(), LAP_DoubleBandedUpperMatrix::getRow(), getRow(), LAP_DoublePackedUpperMatrix::inverse(), LAP_DoublePackedSymmetricMatrix::inverse(), matrixProduct(), LAP_DoublePackedUpperMatrix::matrixProduct(), LAP_DoubleBandedUpperMatrix::matrixProduct(), LAP_DoublePackedSymmetricMatrix::matrixProduct(), LAP_DoublePackedUpperMatrix::norm2(), LAP_DoublePackedSymmetricMatrix::norm2(), LAP_DoubleBandedUpperMatrix::norm2(), norm2(), MMSD_IntegerFullMatrix::operator()(), MMSD_IntegerFullMatrix::randomizeColumns(), LAP_DoublePackedUpperMatrix::rankProduct(), LAP_DoubleBandedUpperMatrix::rankProduct(), LAP_DoublePackedSymmetricMatrix::rankSymmetricProduct(), LAP_DoublePackedUpperMatrix::solve(), LAP_DoubleBandedUpperMatrix::solve(), LAP_DoublePackedUpperMatrix::sum(), LAP_DoublePackedSymmetricMatrix::sum(), LAP_DoubleBandedUpperMatrix::sum(), sum(), LAP_DoubleMatrix::toString(), LAP_DoublePackedSymmetricMatrix::vectorProduct(), LAP_DoubleMatrix::vectorProduct(), vectorProduct(), LAP_DoublePackedUpperMatrix::vectorProduct(), and LAP_DoubleBandedUpperMatrix::vectorProduct().

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void CORE_Object::getSharedPointer ( SP::CORE_Object &  p)
inlineinherited

get the shared pointer of this class into p

Referenced by CORE_Map< Key, Value >::getSharedPointer(), CORE_Array< tFlag >::getSharedPointer(), LAP_ConstVector< lapack_real >::getSharedPointer(), STAT_Combinatorial< T >::getSharedPointer(), LAP_Vector< lapack_int >::getSharedPointer(), CORE_Vector< T >::getSharedPointer(), CORE_Matrix< T >::getSharedPointer(), and CORE_Object::printObjectsInMemory().

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void CORE_Object::getSharedPointer ( SPC::CORE_Object &  p) const
inlineinherited

get the shared pointer of this class into p

const tLVectorIndex& LAP_Matrix::getSize ( const tFlag &  direction) const
inlineinherited

get the size in direction

Referenced by LAP_DoubleFullGeneralMatrix::concat(), LAP_Matrix::copy(), LAP_Matrix::getColumnsNumber(), LAP_Matrix::getRowsNumber(), MMSD_DoubleSymmetricMatrix::getSize(), LAP_DoubleFullSymmetricMatrix::indexMin(), LAP_DoubleFullUpperMatrix::indexMin(), LAP_DoubleFullGeneralMatrix::indexMin(), LAP_DoubleFullGeneralMatrix::removeColumn(), and LAP_DoubleFullGeneralMatrix::solve().

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LAP_DoubleMatrixStorage& LAP_DoubleMatrix::getStorage ( )
inlineinherited

set the storage

References null.

Referenced by LAP_DoubleFullSymmetricMatrix::computeEigenValueDecomposition(), LAP_DoubleMatrix::copy(), LAP_DoubleBandedUpperMatrix::getBandedStorage(), getBandedStorage(), LAP_DoubleFullSymmetricMatrix::getFullStorage(), LAP_DoublePackedSymmetricMatrix::getPackedStorage(), MMSD_DoubleSymmetricMatrix::getValues(), LAP_DoubleMatrix::init(), MMSD_Cluster::initialize(), MATH_StiefelOptimizer::minimize(), LAP_DoubleBandedUpperMatrix::operator=(), operator=(), LAP_DoublePackedSymmetricMatrix::operator=(), LAP_DoubleFullUpperMatrix::operator=(), LAP_DoubleFullSymmetricMatrix::operator=(), LAP_DoubleFullGeneralMatrix::operator=(), LAP_DoublePackedUpperMatrix::operator=(), LAP_DoubleMatrix::operator[](), MMSD_Law::saveToUIClass(), MMSD_Cluster::saveToUIClass(), MMSD_Model::saveToUIClass(), setSize(), LAP_DoubleBandedUpperMatrix::setSize(), LAP_DoublePackedUpperMatrix::setSize(), LAP_DoublePackedSymmetricMatrix::setSize(), LAP_DoublePackedUpperMatrix::setValues(), LAP_DoublePackedSymmetricMatrix::setValues(), setValues(), LAP_DoubleBandedUpperMatrix::setValues(), testGaussianLaw11N(), testGaussianLaw1PN(), testStiefelGaussianLawFunction(), LAP_DoubleMatrix::trace(), MMSD_ConstraintGaussianCluster::updateFreedomDegrees(), and MMSD_GaussianCluster::updateFreedomDegrees().

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const LAP_DoubleMatrixStorage& LAP_DoubleMatrix::getStorage ( ) const
inlineinherited

set the storage

References null.

template<class T >
static tString CORE_Object::getTypeName ( )
inlinestaticinherited

get type name

References tString.

const tLVectorIndex& LAP_DoubleBandedSymmetricMatrix::getUpperBandsNumber ( ) const
inline

get upper bands number

References getBandedStorage(), and LAP_DoubleBandedStorage::getUpperBandsNumber().

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tLVectorIndex LAP_DoubleMatrix::getValuesNumber ( ) const
inlineinherited

get the number of values

Referenced by MMSD_DoubleSymmetricMatrix::getValuesNumber(), and MMSD_Model::saveToUIClass().

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void LAP_DoubleMatrix::init ( const double  v)
inlineinherited

init the values to v

Parameters
vinit value

References LAP_DoubleMatrix::getStorage(), and LAP_DoubleMatrixStorage::init().

Referenced by MMSD_DoubleFullMatrix::operator=().

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static tBoolean CORE_Object::is32Architecture ( )
inlinestaticinherited

return true if the machine is a 32 bits machine

References CORE_Object::is64Architecture().

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tBoolean CORE_Object::is64Architecture ( )
staticinherited

return true if the machine is a 64 bits machine

Referenced by CORE_Object::is32Architecture().

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template<class T >
tBoolean CORE_Object::isInstanceOf ( ) const
inlineinherited

return true if the object is an instance of T

References null.

tBoolean LAP_Object::isNullValue ( const double &  v) const
inlineinherited

return true if the value is a null

virtual tBoolean LAP_DoubleSymmetricMatrix::isSymmetric ( ) const
inlinevirtualinherited

return true if the matrix is symmetric

Implements LAP_DoubleMatrix.

virtual tBoolean LAP_DoubleSymmetricMatrix::isUpper ( ) const
inlinevirtualinherited

return true if the matrix is upper

Implements LAP_DoubleMatrix.

virtual SP::LAP_DoubleMatrix LAP_DoubleBandedSymmetricMatrix::matrixProduct ( const LAP_DoubleMatrix &  B) const
inlinevirtual

return C=(This) . B

Implements LAP_DoubleMatrix.

References LAP_DoubleMatrix::get(), LAP_DoubleFullGeneralMatrix::New(), and null.

Referenced by matrixProduct().

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void LAP_DoubleBandedSymmetricMatrix::matrixProduct ( const LAP_DoubleFullGeneralMatrix &  B,
LAP_DoubleFullGeneralMatrix &  C 
) const
inline

return C=(This) . B

References LAP_DoubleFullGeneralMatrix::getColumnsNumber(), LAP_Matrix::getRowsNumber(), matrixProduct(), and LAP_DoubleFullGeneralMatrix::setSize().

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virtual void LAP_DoubleBandedSymmetricMatrix::matrixProduct ( const tBoolean &  leftSide,
const LAP_DoubleFullGeneralMatrix &  B,
const lapack_real &  alpha,
const lapack_real &  beta,
LAP_DoubleFullGeneralMatrix &  C 
) const
inlinevirtual

make the product if (leftSide) C = alpha. This . B +beta C if (!leftSide) C = alpha. B . This +beta C

Implements LAP_DoubleSymmetricMatrix.

References matrixProduct().

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virtual void LAP_DoubleBandedSymmetricMatrix::matrixProduct ( const tBoolean &  leftSide,
const tLVectorIndex &  nBRows,
const tLVectorIndex &  nBCols,
const tLVectorIncrement &  incB,
const tLVectorIndex &  ldB,
const double *  B,
const lapack_real &  alpha,
const lapack_real &  beta,
LAP_DoubleFullGeneralMatrix &  C 
) const
inlinevirtual

make the product:

  • if (leftSide) C = alpha. This . B +beta C
  • if (!leftSide) C = alpha. B . This +beta C
    Parameters
    leftside: the side of product
    nBRowsnumber of rows of B
    nBcolsnumber of columns of B
    incBmemory distance between B(i,j) && B(i+1,j)
    ldBmemory distance between B(i,j) && B(i,j+1)
    alphathe alpha value
    betathe beta value
    Cthe output full matrix

Implements LAP_DoubleSymmetricMatrix.

References ASSERT_IN, DoubleBandedSymmetricMatrixMatrixProduct(), getBandsNumber(), LAP_DoubleFullGeneralMatrix::getColumnsNumber(), LAP_DoubleFullGeneralMatrix::getLeadingDimension(), LAP_DoubleFullGeneralMatrix::getRowIncrement(), LAP_Matrix::getRowsNumber(), LAP_DoubleFullGeneralMatrix::getRowsNumber(), LAP_DoubleFullGeneralMatrix::setSize(), and tLVectorIndex.

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static void LAP_DoubleBandedSymmetricMatrix::matrixProduct ( const tBoolean &  leftSide,
const LAP_DoubleBandedSymmetricMatrix &  S,
const LAP_DoubleFullGeneralMatrix &  B,
const lapack_real &  alpha,
const lapack_real &  beta,
LAP_DoubleFullGeneralMatrix &  C 
)
inlinestatic

compute :

  • C:=beta C+ alpha S. B
  • C:=beta C+ alpha B. S where :

S is banded symmetric matrix

  • B is general full matrix (Fortran Version)
  • C is general full matrix
Parameters
leftsideif true C:=beta C+ alpha S. B else C:=beta C+ alpha B. S
Sthe packed symmetric matrix
B: the general full matrix
alpha: the alpha value
betathe beta value
Cthe result general full matrix

References ASSERT_IN, DoubleBandedSymmetricMatrixMatrixProduct(), getBandsNumber(), LAP_DoubleFullGeneralMatrix::getColumnsNumber(), LAP_DoubleFullGeneralMatrix::getLeadingDimension(), LAP_DoubleFullGeneralMatrix::getRowIncrement(), LAP_Matrix::getRowsNumber(), LAP_DoubleFullGeneralMatrix::getRowsNumber(), LAP_DoubleFullGeneralMatrix::setSize(), and tLVectorIndex.

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static SP::LAP_DoubleBandedSymmetricMatrix LAP_DoubleBandedSymmetricMatrix::New ( )
inlinestatic

References LAP_DoubleBandedSymmetricMatrix().

Referenced by New(), and NewInstance().

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static SP::LAP_DoubleBandedSymmetricMatrix LAP_DoubleBandedSymmetricMatrix::New ( const tLVectorIndex &  n)
inlinestatic

References New().

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virtual SP::LAP_DoubleMatrix LAP_DoubleBandedSymmetricMatrix::NewInstance ( ) const
inlinevirtual

create a New instance of this

Implements LAP_DoubleMatrix.

References New().

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tReal LAP_DoubleBandedSymmetricMatrix::norm2 ( ) const
virtual

return norm2 sqrt(sum_ij(aij^2))=sqrt(tr(AtA));

Implements LAP_DoubleMatrix.

References getBandsNumber(), LAP_Matrix::getColumnsNumber(), LAP_Matrix::getRowsNumber(), sum(), and tLVectorIndex.

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tReal LAP_DoubleBandedSymmetricMatrix::norm2 ( LAP_DoubleVector &  v) const
virtual

return norm2 of the matrix and for each row;

Implements LAP_DoubleMatrix.

References getBandsNumber(), LAP_Matrix::getColumnsNumber(), LAP_Matrix::getRowsNumber(), LAP_Vector< T >::resetView(), LAP_Vector< T >::setSize(), sum(), and tLVectorIndex.

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virtual double& LAP_DoubleBandedSymmetricMatrix::operator() ( const tLVectorIndex &  i,
const tLVectorIndex &  j 
)
inlinevirtual

accessor of element at row i and column j taking into account the view only use the upper diagonal

Implements LAP_DoubleMatrix.

References getBandedStorage().

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virtual const double& LAP_DoubleBandedSymmetricMatrix::operator() ( const tLVectorIndex &  i,
const tLVectorIndex &  j 
) const
inlinevirtual

accessor of element at row i and column j taking into account the view only use the upper diagonal

Implements LAP_DoubleMatrix.

References getBandedStorage().

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LAP_DoubleBandedSymmetricMatrix& LAP_DoubleBandedSymmetricMatrix::operator*= ( const lapack_real &  s)
inline

multiply by s the matrix

References getBandedStorage().

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LAP_DoubleBandedSymmetricMatrix& LAP_DoubleBandedSymmetricMatrix::operator*= ( const LAP_DoubleBandedSymmetricMatrix &  s)
inline

multiply the viewed matrices term by term

References getBandedStorage().

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LAP_DoubleBandedSymmetricMatrix& LAP_DoubleBandedSymmetricMatrix::operator+= ( const lapack_real &  s)
inline

add s to the upper matrix

References getBandedStorage().

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LAP_DoubleBandedSymmetricMatrix& LAP_DoubleBandedSymmetricMatrix::operator+= ( const LAP_DoubleBandedSymmetricMatrix &  s)
inline

add the viewed matrix

References getBandedStorage().

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LAP_DoubleBandedSymmetricMatrix& LAP_DoubleBandedSymmetricMatrix::operator-= ( const lapack_real &  s)
inline

sub s to the upper matrix

References getBandedStorage().

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LAP_DoubleBandedSymmetricMatrix& LAP_DoubleBandedSymmetricMatrix::operator-= ( const LAP_DoubleBandedSymmetricMatrix &  s)
inline

sub the viewed matrix

References getBandedStorage().

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LAP_DoubleBandedSymmetricMatrix& LAP_DoubleBandedSymmetricMatrix::operator/= ( const lapack_real &  s)
inline

divide by s the matrix v

References getBandedStorage().

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LAP_DoubleBandedSymmetricMatrix& LAP_DoubleBandedSymmetricMatrix::operator/= ( const LAP_DoubleBandedSymmetricMatrix &  s)
inline

divide the viewed matrices term by term

References getBandedStorage().

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LAP_DoubleBandedSymmetricMatrix& LAP_DoubleBandedSymmetricMatrix::operator= ( const double &  s)
inline

init all the matrix to s

References LAP_DoubleMatrix::getStorage(), and LAP_DoubleMatrixStorage::init().

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LAP_DoubleBandedSymmetricMatrix& LAP_DoubleBandedSymmetricMatrix::operator= ( const LAP_DoubleMatrix &  s)
inline

init all the matrix to s

References LAP_DoubleMatrix::copy().

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const double& LAP_DoubleMatrix::operator[] ( const tLVectorIndex &  index) const
inlineinherited

get the element at index

Parameters
indexindex of the element in [0,getStorage().getValuesNumber()[ return the value of the element at index for reading

References LAP_DoubleMatrix::getStorage().

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double& LAP_DoubleMatrix::operator[] ( const tLVectorIndex &  index)
inlineinherited

get the element at index

Parameters
indexindex of the element in [0,getValuesNumber()[ return the value of the element at index for writing

References LAP_DoubleMatrix::getStorage().

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LAP_DoubleBandedSymmetricMatrix& LAP_DoubleBandedSymmetricMatrix::operator^= ( const lapack_real &  s)
inline

power by s the matrix v

References getBandedStorage().

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void CORE_Object::outputPrint ( const tString &  message)
staticinherited

print on output

References null, and CORE_Object::print().

Referenced by CORE_Exception::CORE_Exception().

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tString CORE_Object::pointer2String ( const void *  obj)
staticinherited

return the string represantation of a pointer

References tString.

Referenced by CORE_Object::CORE_Object(), CORE_Object::getIdentityString(), CORE_Object::getPointerAddress(), and CORE_Object::~CORE_Object().

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virtual void CORE_Object::print ( )
inlinevirtualinherited

print the class

References CORE_Object::toString().

Referenced by CORE_Object::outputPrint(), CORE_Out::print(), CORE_Object::print(), CORE_Out::printInt(), CORE_Out::println(), CORE_Out::printReal(), CORE_Out::printString(), and CORE_Out::setAction().

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virtual ostream& CORE_Object::print ( ostream &  out) const
inlinevirtualinherited

print the class

References CORE_Object::print(), and CORE_Object::toString().

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void CORE_Object::print ( const tString &  message)
virtualinherited

print the class

Reimplemented in CORE_Out.

References null, and CORE_Object::print().

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void CORE_Object::print ( const tInteger &  str)
virtualinherited

print

References null.

void CORE_Object::print ( const tRelativeInteger &  str)
virtualinherited

print

References null.

void CORE_Object::print ( const tReal &  str)
virtualinherited

print

References null.

void CORE_Object::print ( const int &  str)
virtualinherited

print

References null.

static ostream& CORE_Object::print ( ostream &  out,
const tString &  message 
)
inlinestaticinherited

print the class

void CORE_Object::printObjectsInMemory ( )
staticinherited

print object in memory

References CORE_Object::getClassName(), CORE_Object::getSharedPointer(), and CORE_Object::mIsMemoryTesting.

Referenced by main().

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void LAP_DoubleBandedSymmetricMatrix::rankSymmetricProduct ( const LAP_DoubleFullGeneralMatrix &  A)
inline

compute the symmetric matrix This:=A. tA

References LAP_DoubleFullGeneralMatrix::getColumnsNumber(), LAP_DoubleFullGeneralMatrix::getLeadingDimension(), LAP_DoubleFullGeneralMatrix::getRowIncrement(), and LAP_DoubleFullGeneralMatrix::getRowsNumber().

Referenced by rankSymmetricProduct().

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void LAP_DoubleBandedSymmetricMatrix::rankSymmetricProduct ( const double  alpha,
const tBoolean &  isTransA,
const LAP_DoubleFullGeneralMatrix &  A 
)
inline

compute the symmetric matrix This:=alpha. op(A).t(op(A))

References LAP_DoubleFullGeneralMatrix::getColumnsNumber(), LAP_DoubleFullGeneralMatrix::getLeadingDimension(), LAP_DoubleFullGeneralMatrix::getRowIncrement(), LAP_DoubleFullGeneralMatrix::getRowsNumber(), and rankSymmetricProduct().

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void LAP_DoubleBandedSymmetricMatrix::rankSymmetricProduct ( const double &  alpha,
const double &  beta,
const tLVectorIndex &  nARows,
const tLVectorIndex &  nACols,
const tLVectorIncrement &  incA,
const tLVectorIndex &  ldA,
const tBoolean &  isTransA,
const double *  A 
)
virtual

compute the symmetric matrix This:=beta.This+alpha op(A).t(op(A))

Parameters
alphaalpha value
betabeta value
nARowsnumber of rows of full A matrix
nAColsnumber of columns of full A matrix
ldamemory distance between A(i,j) & A(i,j+1)
isTransAif (isTransA) op(A)=tA else op(A)=A
Avalues of full matrix A

Implements LAP_DoubleSymmetricMatrix.

References LAP_DoubleBandedStorage::compile(), getBandedStorage(), setSize(), tLVectorIndex, and LAP_DoubleBandedStorage::updateBandsNumber().

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void LAP_DoubleMatrix::set ( const tLVectorIndex &  i,
const tLVectorIndex &  j,
const double &  v 
)
inlineinherited

set the value of the element at row i and column j

Parameters
i: row of the element
jcolumn of the element
vvalue to set
void LAP_DoubleBandedSymmetricMatrix::setBandsNumber ( const tLVectorIndex &  n)
inline

set bands number

References getBandedStorage(), and LAP_DoubleBandedStorage::setBandsNumber().

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static void CORE_Object::setOutput ( ostream &  out)
inlinestaticinherited

set output

virtual void LAP_DoubleBandedSymmetricMatrix::setSize ( const tLVectorIndex &  nRows,
const tLVectorIndex &  nCols 
)
inlinevirtual

set the dimension of the matrix

Reimplemented from LAP_Matrix.

References getBandedStorage(), LAP_DoubleBandedStorage::getBandsNumber(), LAP_DoubleMatrix::getStorage(), LAP_DoubleBandedStorage::setBandsNumber(), LAP_Matrix::setSize(), LAP_DoubleMatrixStorage::setValuesNumber(), and tLVectorIndex.

Referenced by rankSymmetricProduct().

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virtual void LAP_DoubleBandedSymmetricMatrix::setSize ( const tLVectorIndex &  n)
inlinevirtual

set the dimension of the matrix

Parameters
nis the number of cols

Reimplemented from LAP_Matrix.

References getBandedStorage(), LAP_DoubleBandedStorage::getBandsNumber(), LAP_DoubleMatrix::getStorage(), LAP_DoubleBandedStorage::setBandsNumber(), LAP_Matrix::setSize(), LAP_DoubleMatrixStorage::setValuesNumber(), and tLVectorIndex.

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void LAP_DoubleMatrix::setStorage ( SP::LAP_DoubleMatrixStorage  s)
inlineinherited

set the storage

Referenced by LAP_DoubleBandedSymmetricMatrix(), LAP_DoubleBandedUpperMatrix::LAP_DoubleBandedUpperMatrix(), LAP_DoubleFullGeneralMatrix::LAP_DoubleFullGeneralMatrix(), LAP_DoubleFullSymmetricMatrix::LAP_DoubleFullSymmetricMatrix(), LAP_DoubleFullUpperMatrix::LAP_DoubleFullUpperMatrix(), LAP_DoublePackedSymmetricMatrix::LAP_DoublePackedSymmetricMatrix(), and LAP_DoublePackedUpperMatrix::LAP_DoublePackedUpperMatrix().

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void CORE_Object::setThis ( SP::CORE_Object  p)
inlineprotectedinherited

set this weak shared pointer called toDoAfterThis setting method

References CORE_Object::toDoAfterThisSetting().

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virtual void CORE_Object::setType ( tString  type)
inlineprotectedvirtualinherited

set the type of the object

Referenced by LAP_IntegerVector::LAP_IntegerVector(), MATH_BetaFunction::MATH_BetaFunction(), MATH_C1Function::MATH_C1Function(), MATH_DigammaFunction::MATH_DigammaFunction(), MATH_EigenFunction::MATH_EigenFunction(), MATH_Equation::MATH_Equation(), MATH_Function::MATH_Function(), MATH_GammaFunction::MATH_GammaFunction(), MATH_KeplerFunction::MATH_KeplerFunction(), MATH_LogGammaFunction::MATH_LogGammaFunction(), MATH_NewtonEquation::MATH_NewtonEquation(), MATH_StiefelFunction::MATH_StiefelFunction(), MATH_StiefelOptimizer::MATH_StiefelOptimizer(), MATH_TranscendentEquation::MATH_TranscendentEquation(), MATH_TrigammaFunction::MATH_TrigammaFunction(), MATH_ZeroEquation::MATH_ZeroEquation(), MATH_ZKeplerFunction::MATH_ZKeplerFunction(), MM_Attribute::MM_Attribute(), MM_Class::MM_Class(), MM_ClassFactory::MM_ClassFactory(), MM_Data::MM_Data(), MM_Structure::MM_Structure(), MMSD_ClassFactory::MMSD_ClassFactory(), MMSD_Cluster::MMSD_Cluster(), MMSD_ConstDoubleVector::MMSD_ConstDoubleVector(), MMSD_ConstraintGaussianCluster::MMSD_ConstraintGaussianCluster(), MMSD_ConstraintGaussianModel::MMSD_ConstraintGaussianModel(), MMSD_DataSet::MMSD_DataSet(), MMSD_DataSetClassFactory::MMSD_DataSetClassFactory(), MMSD_DoubleFullMatrix::MMSD_DoubleFullMatrix(), MMSD_DoubleSymmetricMatrix::MMSD_DoubleSymmetricMatrix(), MMSD_DoubleVector::MMSD_DoubleVector(), MMSD_FluryGautschiGaussianLaw::MMSD_FluryGautschiGaussianLaw(), MMSD_GaussianCluster::MMSD_GaussianCluster(), MMSD_GaussianFDFunction::MMSD_GaussianFDFunction(), MMSD_GaussianLaw::MMSD_GaussianLaw(), MMSD_GaussianModel::MMSD_GaussianModel(), MMSD_Law::MMSD_Law(), MMSD_Model::MMSD_Model(), MMSD_ModelClassFactory::MMSD_ModelClassFactory(), MMSD_Object::MMSD_Object(), MMSD_StiefelFunction::MMSD_StiefelFunction(), MMSD_StiefelGaussianLaw::MMSD_StiefelGaussianLaw(), STAT_BernoulliDistribution::STAT_BernoulliDistribution(), STAT_BinomialDistribution::STAT_BinomialDistribution(), STAT_Combinatorial< T >::STAT_Combinatorial(), STAT_DiracDistribution::STAT_DiracDistribution(), STAT_Distribution::STAT_Distribution(), STAT_ExponentialDistribution::STAT_ExponentialDistribution(), STAT_GammaDistribution::STAT_GammaDistribution(), STAT_GeometricDistribution::STAT_GeometricDistribution(), STAT_InverseNormalDistribution::STAT_InverseNormalDistribution(), STAT_NormalDistribution::STAT_NormalDistribution(), STAT_Object::STAT_Object(), STAT_PoissonDistribution::STAT_PoissonDistribution(), STAT_UniformDistribution::STAT_UniformDistribution(), and STAT_UniformLaplaceTransform::STAT_UniformLaplaceTransform().

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virtual void LAP_DoubleBandedSymmetricMatrix::setValues ( SP::LAP_DoubleVector  values)
inlinevirtual

set the values set the pointer values of the matrix to values the size of the vector is mBandsNumber*nCols

Reimplemented from LAP_DoubleMatrix.

References ASSERT_IN, getBandsNumber(), LAP_DoubleMatrix::getStorage(), null, LAP_Matrix::setSize(), LAP_DoubleMatrixStorage::setValuesPointer(), and tLVectorIndex.

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virtual void LAP_DoubleBandedSymmetricMatrix::setValues ( const tLVectorIndex &  n,
const double *  values 
)
inlinevirtual

set the values

Reimplemented from LAP_DoubleMatrix.

References getBandsNumber(), LAP_DoubleMatrix::getStorage(), LAP_Matrix::setSize(), LAP_DoubleMatrixStorage::setValues(), and tLVectorIndex.

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tReal LAP_DoubleBandedSymmetricMatrix::sum ( const tFlag &  d,
LAP_DoubleVector &  s 
) const
virtual

make the sum among the direction if (d==ROW) sum all the columns of each row and size of s is the number of rows if (d==COL) sum all the rows of each column and size of s is the number of columns ^return the sum of all the element of the matrix

Implements LAP_DoubleMatrix.

References getBandsNumber(), LAP_Matrix::getColumnsNumber(), LAP_Matrix::getRowsNumber(), LAP_Vector< T >::resetView(), LAP_Vector< T >::setSize(), and tLVectorIndex.

Referenced by norm2(), and sum().

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tReal LAP_DoubleBandedSymmetricMatrix::sum ( const tFlag &  d,
const tLVectorIndex &  index 
) const
virtual

make the sum among the direction if (d==ROW) sum all the columns of row index if (d==COL) sum all the rows of coluln at index

Implements LAP_DoubleMatrix.

References getBandsNumber(), LAP_Matrix::getColumnsNumber(), LAP_Matrix::getRowsNumber(), sum(), tLVectorIndex, and tReal.

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virtual void CORE_Object::toDoAfterThisSetting ( )
inlineprotectedvirtualinherited

method called after setThis() method this method can oly be called once.

Reimplemented in STAT_UniformLaplaceTransform.

Referenced by CORE_Object::setThis(), and STAT_UniformLaplaceTransform::toDoAfterThisSetting().

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tString LAP_DoubleMatrix::toString ( ) const
virtualinherited

print the matrix taking into account the view

Reimplemented from CORE_Object.

References LAP_Matrix::getColumnsNumber(), LAP_Matrix::getRowsNumber(), tLVectorIndex, CORE_String::toString(), and tString.

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double LAP_DoubleMatrix::trace ( ) const
inlineinherited

return trace

References LAP_DoubleMatrix::getStorage(), and LAP_DoubleMatrixStorage::trace().

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virtual SP::LAP_DoubleVector LAP_DoubleMatrix::vectorProduct ( const LAP_DoubleVector &  X) const
inlinevirtualinherited

compute This. X

Parameters
Xinput vector
Returns
This.X

References LAP_Vector< T >::get(), and LAP_DoubleVector::New().

Referenced by LAP_DoubleMatrix::vectorProduct(), LAP_DoublePackedSymmetricMatrix::vectorProduct(), vectorProduct(), LAP_DoubleFullSymmetricMatrix::vectorProduct(), and LAP_DoubleFullGeneralMatrix::vectorProduct().

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virtual void LAP_DoubleMatrix::vectorProduct ( const LAP_DoubleVector &  X,
LAP_DoubleVector &  Y 
) const
inlinevirtualinherited

compute Y= This. X

Parameters
Xinput vector
Youtput vector

Reimplemented in LAP_DoubleFullGeneralMatrix, and LAP_DoubleFullUpperMatrix.

References LAP_DoubleMatrix::vectorProduct().

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virtual void LAP_DoubleMatrix::vectorProduct ( SPC::LAP_DoubleVector &  X,
SP::LAP_DoubleVector &  Y 
) const
inlinevirtualinherited

rcompute Y= This X

Parameters
Xinput vector
Youtput vector

References null, and LAP_DoubleMatrix::vectorProduct().

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virtual void LAP_DoubleMatrix::vectorProduct ( const tBoolean &  isTrans,
const LAP_DoubleVector &  X,
LAP_DoubleVector &  Y 
) const
inlinevirtualinherited

compute Y= op(This). X

Parameters
isTrans: if (isTrans) op(A)=A else pop(A)=tA
X: input vector
Y: output vector

Reimplemented in LAP_DoubleFullUpperMatrix, and LAP_DoublePackedUpperMatrix.

References LAP_Matrix::getColumnsNumber(), LAP_Vector< T >::getIncrement(), LAP_Matrix::getRowsNumber(), LAP_Vector< T >::getSize(), LAP_Vector< T >::setSize(), tLVectorIndex, and LAP_DoubleMatrix::vectorProduct().

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virtual void LAP_DoubleBandedSymmetricMatrix::vectorProduct ( const LAP_DoubleVector &  X,
LAP_DoubleVector &  Y 
)
inlinevirtual

compute Y=A.X

Parameters
Xthe input vector
Y: the output vector

References LAP_DoubleMatrix::vectorProduct().

Referenced by vectorProduct().

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virtual void LAP_DoubleBandedSymmetricMatrix::vectorProduct ( const LAP_DoubleVector &  X,
const lapack_real &  alpha,
const lapack_real &  beta,
LAP_DoubleVector &  Y 
) const
inlinevirtual

compute Y:=betaY+alpha.This.X

Parameters
Xvector X of size number of cols of this
alphavalue of alpha
beta: value of beta
Y: vector Y of size number of rows of this

References LAP_Vector< T >::getIncrement(), LAP_Matrix::getRowsNumber(), LAP_Vector< T >::getSize(), LAP_Vector< T >::setSize(), tLVectorIndex, and vectorProduct().

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virtual void LAP_DoubleMatrix::vectorProduct ( const tBoolean &  isTrans,
const tLVectorIndex &  nX,
const tLVectorIncrement &  incX,
const double *  X,
const double &  alpha,
const double &  beta,
const tLVectorIndex &  nY,
const tLVectorIncrement &  incY,
double *  Y 
) const
pure virtualinherited

compute Y= beta Y + alpha op(This). X with op(A)=A or tA depending on isTrans value

Parameters
isTrans: if (isTrans) op(A)=A else pop(A)=tA
nXsize of X
incXincrement of X (memory distance between X(i) & X(i+1)
XX values of minimum size nX*incX
nYsize of Y
incYincrement of Y (memory distance between Y(i) & Y(i+1)
YY values of minimum size nY*incY

Implemented in LAP_DoubleFullUpperMatrix, LAP_DoubleBandedUpperMatrix, and LAP_DoublePackedUpperMatrix.

virtual void LAP_DoubleBandedSymmetricMatrix::vectorProduct ( const LAP_ConstDoubleVector &  X,
const lapack_real &  alpha,
const lapack_real &  beta,
LAP_DoubleVector &  Y 
) const
inlinevirtual

compute Y:=betaY+alpha.This.X

Parameters
Xvector X of size number of cols of this
alphavalue of alpha
beta: value of beta
Y: vector Y of size number of rows of this

References LAP_ConstVector< T >::getIncrement(), LAP_Vector< T >::getIncrement(), LAP_Matrix::getRowsNumber(), LAP_ConstVector< T >::getSize(), LAP_Vector< T >::getSize(), LAP_Vector< T >::setSize(), tLVectorIndex, and vectorProduct().

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virtual void LAP_DoubleBandedSymmetricMatrix::vectorProduct ( const tBoolean &  isTrans,
const tLVectorIndex &  nX,
const tLVectorIncrement &  incX,
const double *  X,
const lapack_real &  alpha,
const lapack_real &  beta,
const tLVectorIndex &  nY,
const tLVectorIncrement &  incY,
double *  Y 
) const
inlinevirtual

compute Y= op(This). X with op(A)=A or tA depending on isTrans value

Parameters
isTrans: if (isTrans) op(A)=A else pop(A)=tA
nXsize of X
incXincrement of X (memory distance between X(i) & X(i+1)
XX values of minimum size nX*incX
nYsize of Y
incYincrement of Y (memory distance between Y(i) & Y(i+1)
YY values of minimum size nY*incY

References vectorProduct().

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virtual void LAP_DoubleBandedSymmetricMatrix::vectorProduct ( const tLVectorIndex &  nx,
const tLVectorIncrement &  incx,
const double *  x,
const lapack_real &  alpha,
const lapack_real &  beta,
const tLVectorIndex &  ny,
const tLVectorIncrement &  incy,
double *  y 
) const
inlinevirtual

compute Y= betaY + alpha. This. X

Parameters
nXsize of X
incXincrement of X (memory distance between X(i) & X(i+1)
XX values of minimum size nX*incX
alphaalpha value
beta:betavalue
nYsize of Y
incYincrement of Y (memory distance between Y(i) & Y(i+1)
YY values of minimum size nY*incY

References DoubleBandedSymmetricMatrixVectorProduct(), getBandsNumber(), LAP_Matrix::getRowsNumber(), and tLVectorIndex.

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static double LAP_DoubleMatrix::zpow ( const double &  f,
const int &  n 
)
inlinestaticinherited

compute the value of pow(f,n)=f^n

Parameters
freal value
nexponent relative value

return $ \displaystyle f^n $

Member Data Documentation

const tFlag LAP_Matrix::COL =1
staticinherited

Referenced by LAP_DoubleFullGeneralMatrix::concat(), LAP_Matrix::copy(), LAP_DoubleFullStorage::getColumnByReference(), LAP_DoubleFullStorage::getLeadingDimension(), LAP_DoubleFullStorage::getRowByReference(), LAP_DoubleFullStorage::getViewedColumnsNumber(), LAP_DoubleFullStorage::isSubmatrixView(), LAP_Matrix::LAP_Matrix(), LAP_DoublePackedStorage::max(), LAP_DoubleBandedStorage::max(), LAP_DoubleFullStorage::operator()(), LAP_DoubleFullGeneralMatrix::removeColumn(), LAP_DoubleFullStorage::resetView(), LAP_Matrix::setSize(), LAP_DoubleFullGeneralMatrix::solve(), LAP_DoublePackedUpperMatrix::sum(), and LAP_DoubleBandedUpperMatrix::sum().

tBoolean CORE_Object::mIsMemoryTesting =false
staticinherited

indicator to store all classes created and deleted only for debuging version

Referenced by CORE_Object::CORE_Object(), main(), CORE_Object::printObjectsInMemory(), and CORE_Object::~CORE_Object().

const tFlag LAP_Matrix::ROW =0
staticinherited

Referenced by LAP_DoubleFullGeneralMatrix::concat(), LAP_Matrix::copy(), LAP_DoubleFullStorage::getColumnByReference(), LAP_DoubleFullStorage::getRowByReference(), LAP_DoubleFullStorage::getRowIncrement(), MMSD_DoubleSymmetricMatrix::getSize(), LAP_DoubleFullStorage::getViewedRowsNumber(), LAP_DoubleFullSymmetricMatrix::indexMin(), LAP_DoubleFullUpperMatrix::indexMin(), LAP_DoubleFullGeneralMatrix::indexMin(), LAP_DoubleFullStorage::isSubmatrixView(), LAP_Matrix::LAP_Matrix(), LAP_DoublePackedStorage::max(), LAP_DoubleFullUpperMatrix::max(), LAP_DoubleFullGeneralMatrix::max(), LAP_DoubleFullStorage::operator()(), LAP_DoubleFullGeneralMatrix::removeColumn(), LAP_DoubleFullStorage::resetView(), LAP_Matrix::setSize(), LAP_DoubleFullGeneralMatrix::solve(), LAP_DoublePackedUpperMatrix::sum(), LAP_DoubleFullUpperMatrix::sum(), and LAP_DoubleFullGeneralMatrix::sum().

double LAP_Object::ZERO_EPSILON =1.e-18
staticinherited

Referenced by LAP_DoublePackedStorage::computeBandsNumber(), LAP_DoubleBandedStorage::computeBandsNumber(), LAP_DoubleFullStorage::computeBandsNumber(), LAP_DoubleBandedStorage::copyFullStorage(), LAP_DoubleBandedStorage::copyPackStorage(), LAP_DoubleMatrixStorage::getNullValuesNumber(), LAP_DoubleFullGeneralMatrix::lowerTest(), LAP_DoubleFullGeneralMatrix::symmetricTest(), and LAP_DoubleFullGeneralMatrix::upperTest().

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