Visual Servoing Platform  version 3.2.1 under development (2019-04-23)
vpRowVector Class Reference

#include <visp3/core/vpRowVector.h>

+ Inheritance diagram for vpRowVector:

Public Member Functions

 vpRowVector ()
 
 vpRowVector (unsigned int n)
 
 vpRowVector (unsigned int n, double val)
 
 vpRowVector (const vpRowVector &v)
 
 vpRowVector (const vpRowVector &v, unsigned int c, unsigned int ncols)
 
 vpRowVector (const vpMatrix &M)
 
 vpRowVector (const vpMatrix &M, unsigned int i)
 
 vpRowVector (const std::vector< double > &v)
 
 vpRowVector (const std::vector< float > &v)
 
 vpRowVector (vpRowVector &&v)
 
 vpRowVector (const std::initializer_list< double > &list)
 
virtual ~vpRowVector ()
 
void clear ()
 
std::ostream & cppPrint (std::ostream &os, const std::string &matrixName="A", bool octet=false) const
 
std::ostream & csvPrint (std::ostream &os) const
 
void deg2rad ()
 
vp_deprecated double euclideanNorm () const
 
vpRowVector extract (unsigned int c, unsigned int rowsize) const
 
double frobeniusNorm () const
 
void init (const vpRowVector &v, unsigned int c, unsigned int ncols)
 
void insert (unsigned int i, const vpRowVector &v)
 
std::ostream & maplePrint (std::ostream &os) const
 
std::ostream & matlabPrint (std::ostream &os) const
 
vpRowVectornormalize ()
 
vpRowVectornormalize (vpRowVector &x) const
 
double & operator[] (unsigned int n)
 
const double & operator[] (unsigned int n) const
 
vpRowVectoroperator= (const vpRowVector &v)
 
vpRowVectoroperator= (const vpMatrix &M)
 
vpRowVectoroperator= (const std::vector< double > &v)
 
vpRowVectoroperator= (const std::vector< float > &v)
 
vpRowVectoroperator= (const double x)
 
vpRowVectoroperator= (vpRowVector &&v)
 
vpRowVectoroperator= (const std::initializer_list< double > &list)
 
double operator* (const vpColVector &x) const
 
vpRowVector operator* (const vpMatrix &M) const
 
vpRowVector operator* (const double x) const
 
vpRowVectoroperator*= (double x)
 
vpRowVector operator/ (const double x) const
 
vpRowVectoroperator/= (double x)
 
vpRowVector operator+ (const vpRowVector &v) const
 
vpRowVectoroperator+= (vpRowVector v)
 
vpRowVector operator- (const vpRowVector &v) const
 
vpRowVectoroperator-= (vpRowVector v)
 
vpRowVector operator- () const
 
vpRowVectoroperator<< (const vpRowVector &v)
 
vpRowVectoroperator<< (double val)
 
vpRowVectoroperator, (double val)
 
int print (std::ostream &s, unsigned int length, char const *intro=0) const
 
void rad2deg ()
 
void reshape (vpMatrix &M, const unsigned int &nrows, const unsigned int &ncols)
 
vpMatrix reshape (unsigned int nrows, unsigned int ncols)
 
void resize (const unsigned int i, const bool flagNullify=true)
 
void resize (const unsigned int nrows, const unsigned int ncols, const bool flagNullify)
 
void stack (double d)
 
void stack (const vpRowVector &v)
 
double sum () const
 
double sumSquare () const
 
vpColVector t () const
 
std::vector< double > toStdVector ()
 
vpColVector transpose () const
 
void transpose (vpColVector &v) const
 
Inherited functionalities from vpArray2D
unsigned int getCols () const
 
double getMaxValue () const
 
double getMinValue () const
 
unsigned int getRows () const
 
unsigned int size () const
 
void resize (const unsigned int nrows, const unsigned int ncols, const bool flagNullify=true, const bool recopy_=true)
 
vpArray2D< double > hadamard (const vpArray2D< double > &m) const
 

Static Public Member Functions

static double mean (const vpRowVector &v)
 
static double median (const vpRowVector &v)
 
static vpRowVector stack (const vpRowVector &A, const vpRowVector &B)
 
static void stack (const vpRowVector &A, const vpRowVector &B, vpRowVector &C)
 
static double stdev (const vpRowVector &v, const bool useBesselCorrection=false)
 
Inherited I/O from vpArray2D with Static Public Member Functions
static bool load (const std::string &filename, vpArray2D< double > &A, const bool binary=false, char *header=NULL)
 
static bool loadYAML (const std::string &filename, vpArray2D< double > &A, char *header=NULL)
 
static bool save (const std::string &filename, const vpArray2D< double > &A, const bool binary=false, const char *header="")
 
static bool saveYAML (const std::string &filename, const vpArray2D< double > &A, const char *header="")
 

Public Attributes

double * data
 

Protected Attributes

unsigned int rowNum
 
unsigned int colNum
 
double ** rowPtrs
 
unsigned int dsize
 

Related Functions

(Note that these are not member functions.)

enum  vpGEMMmethod
 

Deprecated functions

vp_deprecated void init ()
 
vp_deprecated void stackMatrices (const vpRowVector &r)
 
vp_deprecated void setIdentity (const double &val=1.0)
 
static vp_deprecated vpRowVector stackMatrices (const vpRowVector &A, const vpRowVector &B)
 
static vp_deprecated void stackMatrices (const vpRowVector &A, const vpRowVector &B, vpRowVector &C)
 

Detailed Description

Implementation of row vector and the associated operations.

This class provides a data structure for a row vector that contains values of double. It contains also some functions to achieve a set of operations on these vectors.

The vpRowVector class is derived from vpArray2D<double>.

The code below shows how to create a 3-element row vector of doubles, set the element values and access them:

#include <visp3/code/vpRowVector.h
int main()
{
vpRowVector v(3);
v[0] = -1; v[1] = -2.1; v[2] = -3;
std::cout << "v:" << std::endl;
for (unsigned int i = 0; i < v.size(); i++) {
std::cout << v[i] << " ";
}
std::cout << std::endl;
}

Once build, this previous code produces the following output:

v:
-1 -2.1 -3

If ViSP is build with c++11 enabled, you can do the same using:

#include <visp3/code/vpRowVector.h
int main()
{
#ifdef VISP_HAVE_CXX11
vpRowVector v{-1, -2.1, -3};
std::cout << "v:\n" << v << std::endl;
#endif
}

The vector could also be initialized using operator=(const std::initializer_list< double > &)

int main()
{
#ifdef VISP_HAVE_CXX11
v = {-1, -2.1, -3};
#endif
}
Examples:
testArray2D.cpp, testEigenConversion.cpp, testMatrix.cpp, testMatrixInitialization.cpp, and testRowVector.cpp.

Definition at line 115 of file vpRowVector.h.

Constructor & Destructor Documentation

vpRowVector::vpRowVector ( )
inline

Basic constructor that creates an empty 0-size row vector.

Definition at line 119 of file vpRowVector.h.

vpRowVector::vpRowVector ( unsigned int  n)
inlineexplicit

Construct a row vector of size n. All the elements are initialized to zero.

Definition at line 122 of file vpRowVector.h.

vpRowVector::vpRowVector ( unsigned int  n,
double  val 
)
inline

Construct a row vector of size n. Each element is set to val.

Definition at line 124 of file vpRowVector.h.

vpRowVector::vpRowVector ( const vpRowVector v)
inline

Copy constructor that allows to construct a row vector from an other one.

Definition at line 127 of file vpRowVector.h.

vpRowVector::vpRowVector ( const vpRowVector v,
unsigned int  c,
unsigned int  ncols 
)

Construct a row vector from a part of an input row vector v.

Parameters
v: Input row vector used for initialization.
c: column index in v that corresponds to the first element of the row vector to contruct.
ncols: Number of columns of the constructed row vector.

The sub-vector starting from v[c] element and ending on v[c+ncols-1] element is used to initialize the contructed row vector.

See also
init()

Definition at line 564 of file vpRowVector.cpp.

References init().

vpRowVector::vpRowVector ( const vpMatrix M)

Constructor that creates a row vector from a 1-by-n matrix M.

Exceptions
vpException::dimensionErrorIf the matrix is not a 1-by-n matrix.

Definition at line 523 of file vpRowVector.cpp.

References vpException::dimensionError, vpArray2D< Type >::getCols(), and vpArray2D< Type >::getRows().

vpRowVector::vpRowVector ( const vpMatrix M,
unsigned int  i 
)

Constructor that creates a row vector corresponding to row i of matrix M.

Definition at line 512 of file vpRowVector.cpp.

References vpArray2D< Type >::getCols().

vpRowVector::vpRowVector ( const std::vector< double > &  v)

Constructor that creates a row vector from a std vector of double.

Definition at line 537 of file vpRowVector.cpp.

vpRowVector::vpRowVector ( const std::vector< float > &  v)

Constructor that creates a row vector from a std vector of float.

Definition at line 545 of file vpRowVector.cpp.

vpRowVector::vpRowVector ( const std::initializer_list< double > &  list)
inline

Definition at line 135 of file vpRowVector.h.

virtual vpRowVector::~vpRowVector ( )
inlinevirtual

Destructor.

Definition at line 140 of file vpRowVector.h.

Member Function Documentation

void vpRowVector::clear ( )
inline

Removes all elements from the vector (which are destroyed), leaving the container with a size of 0.

Examples:
testRowVector.cpp.

Definition at line 146 of file vpRowVector.h.

std::ostream & vpRowVector::cppPrint ( std::ostream &  os,
const std::string &  matrixName = "A",
bool  octet = false 
) const

Print to be used as part of a C++ code later.

Parameters
os: the stream to be printed in.
matrixName: name of the row vector, "A" by default.
octet: if false, print using double, if true, print byte per byte each bytes of the double array.

The following code shows how to use this function:

#include <visp3/core/vpRowVector.h>
int main()
{
for (unsigned int i=0; i<r.size(); i++)
r[i] = i;
r.cppPrint(std::cout, "r");
}

It produces the following output that could be copy/paste in a C++ code:

r[0] = 0;
r[1] = 1;
r[2] = 2;

Definition at line 1179 of file vpRowVector.cpp.

References vpArray2D< double >::getCols().

std::ostream & vpRowVector::csvPrint ( std::ostream &  os) const

Print/save a row vector in csv format.

The following code

#include <visp3/core/vpRowVector.h>
int main()
{
std::ofstream ofs("log.csv", std::ofstream::out);
for (unsigned int i=0; i<r.size(); i++)
r[i] = i;
r.csvPrint(ofs);
ofs.close();
}

produces log.csv file that contains:

0, 1, 2

Definition at line 1221 of file vpRowVector.cpp.

References vpArray2D< double >::getCols().

void vpRowVector::deg2rad ( )
inline

Convert a column vector containing angles in degrees into radians.

See also
rad2deg()

Definition at line 167 of file vpRowVector.h.

double vpRowVector::euclideanNorm ( ) const
Deprecated:
This function is deprecated. You should rather use frobeniusNorm().

Compute and return the Euclidean norm also called Fronebius norm $ ||v|| = \sqrt{ \sum{v_{i}^2}} $.

Returns
The Euclidean norm if the vector is initialized, 0 otherwise.
See also
frobeniusNorm()

Definition at line 1083 of file vpRowVector.cpp.

References frobeniusNorm().

vpRowVector vpRowVector::extract ( unsigned int  c,
unsigned int  rowsize 
) const
inline

Extract a sub-row vector from a row vector.

Parameters
c: Index of the column corresponding to the first element of the vector to extract.
rowsize: Size of the vector to extract.
Exceptions
vpException::fatalErrorIf the vector to extract is not contained in the original one.
for (unsigned int i=0; i<4; i++)
r1.stack(i);
// r1 is equal to [0 1 2 3]
vpRowVector r2 = r1.extract(1, 3);
// r2 is equal to [1 2 3]
Examples:
testRowVector.cpp.

Definition at line 191 of file vpRowVector.h.

References vpException::fatalError.

double vpRowVector::frobeniusNorm ( ) const

Compute and return the Fronebius norm $ ||v|| = \sqrt{ \sum{v_{i}^2}} $.

Returns
The Fronebius norm if the vector is initialized, 0 otherwise.

Definition at line 1093 of file vpRowVector.cpp.

References sumSquare().

Referenced by euclideanNorm().

double vpArray2D< double >::getMaxValue ( ) const
inherited

Return the array max value.

Examples:
servoMomentImage.cpp, testArray2D.cpp, and testMatrix.cpp.
double vpArray2D< double >::getMinValue ( ) const
inherited

Return the array min value.

Examples:
servoMomentImage.cpp, testArray2D.cpp, and testMatrix.cpp.
unsigned int vpArray2D< double >::getRows ( ) const
inlineinherited

Return the number of rows of the 2D array.

See also
getCols(), size()
Examples:
mbtGenericTrackingDepth.cpp, mbtGenericTrackingDepthOnly.cpp, testColVector.cpp, testDisplacement.cpp, testGenericTracker.cpp, testGenericTrackerDepth.cpp, testImageFilter.cpp, testMatrix.cpp, testMatrixConditionNumber.cpp, testMatrixConvolution.cpp, testMatrixDeterminant.cpp, testMatrixInitialization.cpp, testMatrixInverse.cpp, testMatrixPseudoInverse.cpp, testPoseVector.cpp, testRowVector.cpp, testSvd.cpp, testTranslationVector.cpp, tutorial-matlab.cpp, tutorial-mb-generic-tracker-rgbd-blender.cpp, and tutorial-mb-generic-tracker-rgbd-realsense.cpp.

Definition at line 289 of file vpArray2D.h.

References vpArray2D< Type >::rowNum.

Referenced by vpMatrix::column(), vpMatrix::cond(), vpColVector::cppPrint(), vpMatrix::cppPrint(), vpColVector::csvPrint(), vpMatrix::csvPrint(), vpMatrix::detByLUEigen3(), vpMatrix::extract(), vpRotationMatrix::getCol(), vpHomogeneousMatrix::getCol(), vpMatrix::getCol(), vpMatrix::getRow(), vpMatrix::inducedL2Norm(), vpMatrix::inverseByCholeskyLapack(), vpMatrix::inverseByLUEigen3(), vpMatrix::inverseByQRLapack(), vpRotationMatrix::isARotationMatrix(), vpMatrix::kernel(), vpColVector::maplePrint(), vpMatrix::maplePrint(), vpColVector::matlabPrint(), vpMatrix::matlabPrint(), vpColVector::operator+(), vpColVector::operator+=(), vpColVector::operator-(), vpColVector::operator-=(), vpForceTwistMatrix::print(), vpVelocityTwistMatrix::print(), vpPoseVector::print(), vpColVector::print(), vpMatrix::print(), vpMatrix::pseudoInverse(), vpMatrix::svdEigen3(), vpMatrix::svdGsl(), vpMatrix::svdLapack(), and vpMatrix::svdOpenCV().

vpArray2D<double > vpArray2D< double >::hadamard ( const vpArray2D< double > &  m) const
inherited

Compute the Hadamard product (element wise matrix multiplication).

Parameters
m: Second matrix;
Returns
m1.hadamard(m2) The Hadamard product : $ m1 \circ m2 = (m1 \circ m2)_{i,j} = (m1)_{i,j} (m2)_{i,j} $
Examples:
testArray2D.cpp.
void vpRowVector::init ( const vpRowVector v,
unsigned int  c,
unsigned int  ncols 
)

Initialize the row vector from a part of an input row vector v.

Parameters
v: Input row vector used for initialization.
c: column index in v that corresponds to the first element of the row vector to contruct.
ncols: Number of columns of the constructed row vector.

The sub-vector starting from v[c] element and ending on v[c+ncols-1] element is used to initialize the contructed row vector.

The following code shows how to use this function:

#include <visp3/core/vpRowVector.h>
int main()
{
int val = 0;
for(size_t i=0; i<v.getCols(); i++) {
v[i] = val++;
}
std::cout << "v: " << v << std::endl;
w.init(v, 1, 2);
std::cout << "w: " << w << std::endl;
}

It produces the following output:

v: 0 1 2 3
w: 1 2
Examples:
testRowVector.cpp.

Definition at line 1135 of file vpRowVector.cpp.

References vpException::dimensionError, vpArray2D< Type >::getCols(), resize(), and vpArray2D< double >::rowPtrs.

vp_deprecated void vpRowVector::init ( )
inline
Deprecated:
Provided only for compat with previous releases. This function does nothing.

Definition at line 318 of file vpRowVector.h.

Referenced by vpRowVector(), and vpSubRowVector::vpSubRowVector().

void vpRowVector::insert ( unsigned int  i,
const vpRowVector v 
)

Insert a row vector.

Parameters
i: Index of the first element to introduce. This index starts from 0.
v: Row vector to insert.

The following example shows how to use this function:

#include <visp/vpRowVector.h>
int main()
{
for (unsigned int i=0; i < v.size(); i++)
v[i] = i;
std::cout << "v: " << v << std::endl;
for (unsigned int i=0; i < w.size(); i++)
w[i] = i+10;
std::cout << "w: " << w << std::endl;
v.insert(1, w);
std::cout << "v: " << v << std::endl;
}

It produces the following output:

v: 0 1 2 3
w: 10 11
v: 0 10 11 3

Definition at line 730 of file vpRowVector.cpp.

References vpArray2D< double >::colNum, vpException::dimensionError, vpArray2D< Type >::getCols(), vpArray2D< Type >::size(), and vpArray2D< double >::size().

static bool vpArray2D< double >::load ( const std::string &  filename,
vpArray2D< double > &  A,
const bool  binary = false,
char *  header = NULL 
)
inlinestaticinherited

Load a matrix from a file.

Parameters
filename: Absolute file name.
A: Array to be loaded
binary: If true the matrix is loaded from a binary file, else from a text file.
header: Header of the file is loaded in this parameter.
Returns
Returns true if success.
See also
save()

Definition at line 533 of file vpArray2D.h.

References vpException::badValue, and vpArray2D< Type >::resize().

static bool vpArray2D< double >::loadYAML ( const std::string &  filename,
vpArray2D< double > &  A,
char *  header = NULL 
)
inlinestaticinherited

Load an array from a YAML-formatted file.

Parameters
filename: absolute file name.
A: array to be loaded from the file.
header: header of the file is loaded in this parameter.
Returns
Returns true on success.
See also
saveYAML()
Examples:
servoFrankaPBVS.cpp, and tutorial-hand-eye-calibration.cpp.

Definition at line 645 of file vpArray2D.h.

References vpArray2D< Type >::resize().

std::ostream & vpRowVector::maplePrint ( std::ostream &  os) const

Print using Maple syntax, to copy/paste in Maple later.

The following code

#include <visp3/core/vpRowVector.h>
int main()
{
for (unsigned int i=0; i<r.size(); i++)
r[i] = i;
std::cout << "r = "; r.maplePrint(std::cout);
}

produces this output:

r = ([
[0, 1, 2, ],
])

that could be copy/paste in Maple.

Definition at line 1255 of file vpRowVector.cpp.

References vpArray2D< double >::getCols().

std::ostream & vpRowVector::matlabPrint ( std::ostream &  os) const

Print using Matlab syntax, to copy/paste in Matlab later.

The following code

#include <visp3/core/vpRowVector.h>
int main()
{
for (unsigned int i=0; i<r.size(); i++)
r[i] = i;
std::cout << "r = "; r.matlabPrint(std::cout);
}

produces this output:

r = [ 0, 1, 2, ]

that could be copy/paste in Matlab:

>> r = [ 0, 1, 2, ]
r =
0 1 2
>>

Definition at line 1297 of file vpRowVector.cpp.

References vpArray2D< double >::getCols().

double vpRowVector::mean ( const vpRowVector v)
static

Compute the mean value of all the elements of the vector.

Examples:
testRowVector.cpp.

Definition at line 877 of file vpRowVector.cpp.

References vpArray2D< Type >::data, vpException::dimensionError, vpArray2D< Type >::getCols(), and vpArray2D< Type >::size().

Referenced by stdev().

double vpRowVector::median ( const vpRowVector v)
static

Compute the median value of all the elements of the vector.

Examples:
testRowVector.cpp.

Definition at line 894 of file vpRowVector.cpp.

References vpArray2D< Type >::colNum, vpArray2D< Type >::data, vpException::dimensionError, vpMath::getMedian(), and vpArray2D< Type >::size().

vpRowVector & vpRowVector::normalize ( )

Normalise the vector modifying the vector as:

\[ {\bf x} = \frac{{\bf x}}{\sqrt{\sum_{i=1}^{n}x^2_i}} \]

where $x_i$ is an element of the row vector $\bf x$.

Examples:
testRowVector.cpp.

Definition at line 610 of file vpRowVector.cpp.

References sumSquare().

Referenced by vpPolygon3D::computePolygonClipped().

vpRowVector & vpRowVector::normalize ( vpRowVector x) const

Normalise the vector given as input parameter and return the normalized vector:

\[ {\bf x} = \frac{{\bf x}}{\sqrt{\sum_{i=1}^{n}x^2_i}} \]

where $x_i$ is an element of the row vector $\bf x$.

Definition at line 595 of file vpRowVector.cpp.

References sumSquare().

double vpRowVector::operator* ( const vpColVector x) const

Multiply a row vector by a column vector.

Parameters
x: Column vector.
Warning
The number of elements of the two vectors must be equal.
Exceptions
vpException::dimensionError: If the number of elements of the two vectors is not the same.
Returns
A scalar.

Definition at line 191 of file vpRowVector.cpp.

References vpArray2D< double >::colNum, vpException::dimensionError, vpArray2D< double >::getCols(), and vpArray2D< Type >::getRows().

Referenced by print().

vpRowVector vpRowVector::operator* ( const vpMatrix M) const

Multiply a row vector by a matrix.

Parameters
M: Matrix.
Warning
The number of elements of the row vector must be equal to the number of rows of the matrix.
Exceptions
vpException::dimensionErrorIf the number of elements of the row vector is not equal to the number of rows of the matrix.
Returns
The resulting row vector.

Definition at line 221 of file vpRowVector.cpp.

References vpArray2D< double >::colNum, vpArray2D< double >::data, vpException::dimensionError, vpArray2D< Type >::getCols(), and vpArray2D< Type >::getRows().

vpRowVector vpRowVector::operator* ( const double  x) const

Operator that allows to multiply each element of a row vector by a scalar.

Parameters
x: The scalar.
Returns
The row vector multiplied by the scalar. The current row vector (*this) is unchanged.
v[0] = 1;
v[1] = 2;
v[2] = 3;
vpRowVector w = v * 3;
// v is unchanged
// w is now equal to : [3 6 9]

Definition at line 261 of file vpRowVector.cpp.

References vpArray2D< double >::colNum, vpArray2D< double >::data, and vpArray2D< Type >::data.

vpRowVector & vpRowVector::operator*= ( double  x)

Operator that allows to multiply each element of a row vector by a scalar.

Parameters
x: The scalar.
Returns
The row vector multiplied by the scalar.
v[0] = 1;
v[1] = 2;
v[2] = 3;
v *= 3;
// v is now equal to : [3 6 9]

Definition at line 290 of file vpRowVector.cpp.

References vpArray2D< double >::colNum.

vpRowVector vpRowVector::operator+ ( const vpRowVector v) const

Operator that allows to add to row vectors that have the same size.

Exceptions
vpException::dimensionErrorIf the vectors size differ.

Definition at line 398 of file vpRowVector.cpp.

References vpArray2D< double >::colNum, vpException::dimensionError, vpArray2D< double >::getCols(), and vpArray2D< Type >::getCols().

vpRowVector & vpRowVector::operator+= ( vpRowVector  v)

Operator that allows to add two row vectors that have the same size.

Exceptions
vpException::dimensionErrorIf the size of the two vectors differ.

Definition at line 417 of file vpRowVector.cpp.

References vpArray2D< double >::colNum, vpException::dimensionError, vpArray2D< double >::getCols(), and vpArray2D< Type >::getCols().

vpRowVector & vpRowVector::operator, ( double  val)

Definition at line 480 of file vpRowVector.cpp.

References vpArray2D< double >::colNum, vpArray2D< double >::data, and resize().

vpRowVector vpRowVector::operator- ( const vpRowVector m) const

Operator that allows to substract to row vectors that have the same size.

Exceptions
vpException::dimensionErrorIf the vectors size differ.

Definition at line 380 of file vpRowVector.cpp.

References vpArray2D< double >::colNum, vpException::dimensionError, vpArray2D< double >::getCols(), and vpArray2D< Type >::getCols().

vpRowVector vpRowVector::operator- ( void  ) const

Operator that allows to negate all the row vector elements.

vpRowVector r(3, 1);
// r contains [1 1 1]
vpRowVector v = -r;
// v contains [-1 -1 -1]

Definition at line 363 of file vpRowVector.cpp.

References vpArray2D< double >::colNum, vpArray2D< double >::data, and vpArray2D< Type >::data.

vpRowVector & vpRowVector::operator-= ( vpRowVector  v)

Operator that allows to substract two row vectors that have the same size.

Exceptions
vpException::dimensionErrorIf the size of the two vectors differ.

Definition at line 434 of file vpRowVector.cpp.

References vpArray2D< double >::colNum, vpException::dimensionError, vpArray2D< double >::getCols(), and vpArray2D< Type >::getCols().

vpRowVector vpRowVector::operator/ ( const double  x) const

Operator that allows to divide each element of a row vector by a scalar.

Parameters
x: The scalar.
Returns
The row vector divided by the scalar. The current row vector (*this) is unchanged.
v[0] = 8;
v[1] = 4;
v[2] = 2;
vpRowVector w = v / 2;
// v is equal to : [8 4 2]
// w is equal to : [4 2 1]

Definition at line 316 of file vpRowVector.cpp.

References vpArray2D< double >::colNum, vpArray2D< double >::data, and vpArray2D< Type >::data.

vpRowVector & vpRowVector::operator/= ( double  x)

Operator that allows to divide each element of a row vector by a scalar.

Parameters
x: The scalar.
Returns
The row vector divided by the scalar.
v[0] = 8;
v[1] = 4;
v[2] = 2;
// v is equal to : [8 4 2]
v /= 2;
// v is equal to : [4 2 1]

Definition at line 346 of file vpRowVector.cpp.

References vpArray2D< double >::colNum.

vpRowVector & vpRowVector::operator<< ( const vpRowVector v)

Copy operator. Allows operation such as A << v

#include <visp3/core/vpRowVector.h>
int main()
{
vpRowVector A, B(5);
for (unsigned int i=0; i<B.size(); i++)
B[i] = i;
A << B;
std::cout << "A: " << A << std::endl;
}

In row vector A we get:

A: 0 1 2 3 4

Definition at line 467 of file vpRowVector.cpp.

vpRowVector & vpRowVector::operator<< ( double  val)

Definition at line 473 of file vpRowVector.cpp.

References vpArray2D< double >::data, and resize().

vpRowVector & vpRowVector::operator= ( const vpRowVector v)

Copy operator. Allow operation such as A = v.

Definition at line 58 of file vpRowVector.cpp.

References vpArray2D< Type >::colNum, vpArray2D< double >::colNum, vpArray2D< double >::data, vpArray2D< Type >::data, and resize().

vpRowVector & vpRowVector::operator= ( const vpMatrix M)

Initialize a row vector from a 1-by-n size matrix.

Warning
Handled with care m should be a 1 column matrix.
Exceptions
vpException::dimensionErrorIf the matrix is not a 1-by-n dimension matrix.

Definition at line 81 of file vpRowVector.cpp.

References vpArray2D< double >::colNum, vpArray2D< Type >::data, vpArray2D< double >::data, vpException::dimensionError, vpArray2D< Type >::getCols(), vpArray2D< Type >::getRows(), and resize().

vpRowVector & vpRowVector::operator= ( const std::vector< double > &  v)

Initialize a row vector from a standard vector of double.

Definition at line 98 of file vpRowVector.cpp.

References resize().

vpRowVector & vpRowVector::operator= ( const std::vector< float > &  v)

Initialize a row vector from a standard vector of double.

Definition at line 108 of file vpRowVector.cpp.

References resize().

vpRowVector & vpRowVector::operator= ( const double  x)

Initialize each element of the vector with x.

Definition at line 117 of file vpRowVector.cpp.

References vpArray2D< double >::colNum, vpArray2D< double >::rowNum, and vpArray2D< double >::rowPtrs.

vpRowVector & vpRowVector::operator= ( const std::initializer_list< double > &  list)

Set vector elements from a list of double.

#include <visp3/core/vpRowVector.cpp>
int main()
{
r = {1, 2, 3};
std::cout << "r: " << r << std::endl;
}

It produces the following printings:

r: 1 2 3
See also
operator<<()

Definition at line 169 of file vpRowVector.cpp.

References vpArray2D< double >::data, and resize().

double& vpRowVector::operator[] ( unsigned int  n)
inline

Operator that allows to set a value of an element $v_i$: v[i] = x.

Definition at line 214 of file vpRowVector.h.

const double& vpRowVector::operator[] ( unsigned int  n) const
inline

Operator that allows to get the value of an element $v_i$: x = v[i].

Definition at line 216 of file vpRowVector.h.

References operator*(), vpArray2D< Type >::operator<<, and vpArray2D< Type >::operator=().

int vpRowVector::print ( std::ostream &  s,
unsigned int  length,
char const *  intro = 0 
) const

Pretty print a row vector. The data are tabulated. The common widths before and after the decimal point are set with respect to the parameter maxlen.

Parameters
sStream used for the printing.
lengthThe suggested width of each row vector element. The actual width grows in order to accomodate the whole integral part, and shrinks if the whole extent is not needed for all the numbers.
introThe introduction which is printed before the vector. Can be set to zero (or omitted), in which case the introduction is not printed.
Returns
Returns the common total width for all vector elements.
See also
std::ostream &operator<<(std::ostream &s, const vpArray2D<Type> &A)
Examples:
servoSimu3D_cdMc_CamVelocity.cpp, servoSimu3D_cMcd_CamVelocity.cpp, testMatrix.cpp, and testRowVector.cpp.

Definition at line 947 of file vpRowVector.cpp.

References vpArray2D< double >::getCols(), vpMath::maximum(), and operator*().

void vpRowVector::rad2deg ( )
inline

Convert a column vector containing angles in radians into degrees.

See also
deg2rad()

Definition at line 253 of file vpRowVector.h.

References vpArray2D< Type >::reshape().

void vpRowVector::reshape ( vpMatrix M,
const unsigned int &  nrows,
const unsigned int &  ncols 
)

Reshape the row vector in a matrix.

Parameters
M: the reshaped matrix.
nrows: number of rows of the matrix.
ncols: number of columns of the matrix.
Exceptions
vpException::dimensionErrorIf the matrix and the row vector have not the same size.

The following example shows how to use this method.

#include <visp3/core/vpRowVector.h>
int main()
{
int var=0;
vpMatrix mat(3, 4);
for (int i = 0; i < 3; i++)
for (int j = 0; j < 4; j++)
mat[i][j] = ++var;
std::cout << "mat: \n" << mat << std::endl;
vpRowVector row = mat.stackRows();
std::cout << "row vector: " << row << std::endl;
vpMatrix remat = row.reshape(3, 4);
std::cout << "remat: \n" << remat << std::endl;
}

If you run the previous example, you get:

mat:
1 2 3 4
5 6 7 8
9 10 11 12
row vector: 1 2 3 4 5 6 7 8 9 10 11 12
remat:
1 2 3 4
5 6 7 8
9 10 11 12
Examples:
testMatrixInitialization.cpp.

Definition at line 682 of file vpRowVector.cpp.

References vpArray2D< double >::colNum, vpArray2D< double >::data, vpException::dimensionError, vpArray2D< double >::dsize, vpArray2D< Type >::getCols(), vpArray2D< Type >::getRows(), and vpArray2D< Type >::resize().

Referenced by reshape().

vpMatrix vpRowVector::reshape ( unsigned int  nrows,
unsigned int  ncols 
)

Reshape the row vector in a matrix.

Parameters
nrows: number of rows of the matrix.
ncols: number of columns of the matrix.
Returns
The resulting matrix.
Exceptions
vpException::dimensionErrorIf the matrix and the row vector have not the same size.
See also
reshape(vpMatrix &, const unsigned int &, const unsigned int &)

Definition at line 632 of file vpRowVector.cpp.

References reshape().

void vpRowVector::resize ( const unsigned int  i,
const bool  flagNullify = true 
)
inline

Modify the size of the row vector.

Parameters
i: Size of the vector. This value corresponds to the vector number of columns.
flagNullify: If true, set the data to zero.
Examples:
testMatrix.cpp, testMatrixInitialization.cpp, and testRowVector.cpp.

Definition at line 268 of file vpRowVector.h.

References vpArray2D< Type >::resize().

Referenced by vpImageTools::columnMean(), vp::eigen2visp(), vpMatrix::getRow(), init(), operator,(), operator<<(), operator=(), stack(), vpMatrix::stackRows(), vpTemplateTrackerSSD::vpTemplateTrackerSSD(), and vpTemplateTrackerZNCC::vpTemplateTrackerZNCC().

void vpRowVector::resize ( const unsigned int  nrows,
const unsigned int  ncols,
const bool  flagNullify 
)
inline

Resize the row vector to a ncols-dimension vector. This function can only be used with nrows = 1.

Parameters
nrows: Vector number of rows. This value should be set to 1.
ncols: Vector number of columns. This value corresponds to the size of the vector.
flagNullify: If true, set the data to zero.
Exceptions
vpException::fatalErrorWhen nrows is not equal to 1.

Definition at line 283 of file vpRowVector.h.

References vpException::fatalError, and vpArray2D< Type >::resize().

void vpArray2D< double >::resize ( const unsigned int  nrows,
const unsigned int  ncols,
const bool  flagNullify = true,
const bool  recopy_ = true 
)
inlineinherited

Set the size of the array and initialize all the values to zero.

Parameters
nrows: number of rows.
ncols: number of column.
flagNullify: if true, then the array is re-initialized to 0 after resize. If false, the initial values from the common part of the array (common part between old and new version of the array) are kept. Default value is true.
recopy_: if true, will perform an explicit recopy of the old data if needed and if flagNullify is set to false.
Examples:
testArray2D.cpp, testMatrix.cpp, testMatrixConditionNumber.cpp, testMatrixDeterminant.cpp, testMatrixInitialization.cpp, testMatrixInverse.cpp, testMatrixPseudoInverse.cpp, and testSvd.cpp.

Definition at line 305 of file vpArray2D.h.

References vpArray2D< Type >::colNum, vpArray2D< Type >::dsize, vpException::memoryAllocationError, vpArray2D< Type >::rowNum, and vpArray2D< Type >::rowPtrs.

Referenced by vpMatrix::diag(), vpMatrix::eye(), vpMatrix::init(), vpMatrix::operator,(), vpMatrix::operator<<(), vpMatrix::operator=(), vpMatrix::stack(), and vpMatrix::svdOpenCV().

static bool vpArray2D< double >::save ( const std::string &  filename,
const vpArray2D< double > &  A,
const bool  binary = false,
const char *  header = "" 
)
inlinestaticinherited

Save a matrix to a file.

Parameters
filename: Absolute file name.
A: Array to be saved.
binary: If true the matrix is saved in a binary file, else a text file.
header: Optional line that will be saved at the beginning of the file.
Returns
Returns true if success.

Warning : If you save the matrix as in a text file the precision is less than if you save it in a binary file.

See also
load()

Definition at line 730 of file vpArray2D.h.

References vpArray2D< Type >::getCols(), and vpArray2D< Type >::getRows().

static bool vpArray2D< double >::saveYAML ( const std::string &  filename,
const vpArray2D< double > &  A,
const char *  header = "" 
)
inlinestaticinherited

Save an array in a YAML-formatted file.

Parameters
filename: absolute file name.
A: array to be saved in the file.
header: optional lines that will be saved at the beginning of the file. Should be YAML-formatted and will adapt to the indentation if any.
Returns
Returns true if success.

Here is an example of outputs.

vpArray2D::saveYAML("matrix.yml", M, "example: a YAML-formatted header");
vpArray2D::saveYAML("matrixIndent.yml", M, "example:\n - a YAML-formatted
header\n - with inner indentation");

Content of matrix.yml:

example: a YAML-formatted header
rows: 3
cols: 4
- [0, 0, 0, 0]
- [0, 0, 0, 0]
- [0, 0, 0, 0]

Content of matrixIndent.yml:

example:
- a YAML-formatted header
- with inner indentation
rows: 3
cols: 4
- [0, 0, 0, 0]
- [0, 0, 0, 0]
- [0, 0, 0, 0]
See also
loadYAML()
Examples:
tutorial-chessboard-pose.cpp, tutorial-franka-acquire-calib-data.cpp, and tutorial-hand-eye-calibration.cpp.

Definition at line 823 of file vpArray2D.h.

References vpArray2D< Type >::getCols(), and vpArray2D< Type >::getRows().

vp_deprecated void vpRowVector::setIdentity ( const double &  val = 1.0)
Deprecated:
You should rather use eye()
void vpRowVector::stack ( double  d)

Stack row vector with a new element at the end of the vector.

Parameters
d: Element to stack to the existing one.
vpRowVector v(3, 1);
// v is equal to [1 1 1]
v.stack(-2);
// v is equal to [1 1 1 -2]
See also
stack(const vpRowVector &, const vpRowVector &)
stack(const vpRowVector &, const vpRowVector &, vpRowVector &)
Examples:
testRowVector.cpp.

Definition at line 770 of file vpRowVector.cpp.

References vpArray2D< double >::colNum, and resize().

Referenced by stack().

void vpRowVector::stack ( const vpRowVector v)

Stack row vectors.

Parameters
v: Vector to stack to the existing one.
vpRowVector v1(3, 1);
// v1 is equal to [1 1 1]
vpRowVector v2(2, 3);
// v2 is equal to [3 3]
v1.stack(v2);
// v1 is equal to [1 1 1 3 3]
See also
stack(const vpRowVector &, const double &)
stack(const vpRowVector &, const vpRowVector &)
stack(const vpRowVector &, const vpRowVector &, vpRowVector &)

Definition at line 795 of file vpRowVector.cpp.

References stack().

vpRowVector vpRowVector::stack ( const vpRowVector A,
const vpRowVector B 
)
static

Stack row vectors.

Parameters
A: Initial vector.
B: Vector to stack at the end of A.
Returns
Stacked vector $[A B]$.
vpRowVector r1(3, 1);
// r1 is equal to [1 1 1]
vpRowVector r2(2, 3);
// r2 is equal to [3 3]
v = vpRowVector::stack(r1, r2);
// v is equal to [1 1 1 3 3]
See also
stack(const vpRowVector &)
stack(const vpRowVector &, const vpRowVector &, vpRowVector &)

Definition at line 817 of file vpRowVector.cpp.

References stack().

void vpRowVector::stack ( const vpRowVector A,
const vpRowVector B,
vpRowVector C 
)
static

Stack row vectors.

Parameters
A: Initial vector.
B: Vector to stack at the end of A.
C: Resulting stacked vector $C = [A B]$.
vpRowVector r1(3, 1);
// r1 is equal to [1 1 1]
vpRowVector r2(2, 3);
// r2 is equal to [3 3]
vpRowVector::stack(r1, r2, v);
// v is equal to [1 1 1 3 3]
See also
stack(const vpRowVector &)
stack(const vpRowVector &, const vpRowVector &)

Definition at line 844 of file vpRowVector.cpp.

References vpArray2D< Type >::getCols(), and resize().

vp_deprecated void vpRowVector::stackMatrices ( const vpRowVector r)
inline
Deprecated:
You should rather use stack(const vpRowVector &)

Definition at line 322 of file vpRowVector.h.

static vp_deprecated vpRowVector vpRowVector::stackMatrices ( const vpRowVector A,
const vpRowVector B 
)
inlinestatic
Deprecated:
You should rather use stack(const vpRowVector &A, const vpRowVector &B)

Definition at line 327 of file vpRowVector.h.

static vp_deprecated void vpRowVector::stackMatrices ( const vpRowVector A,
const vpRowVector B,
vpRowVector C 
)
inlinestatic
Deprecated:
You should rather use stack(const vpRowVector &A, const vpRowVector &B, vpRowVector &C)

Definition at line 332 of file vpRowVector.h.

References operator*().

double vpRowVector::stdev ( const vpRowVector v,
const bool  useBesselCorrection = false 
)
static

Compute the standard deviation value of all the elements of the vector.

Examples:
testRowVector.cpp.

Definition at line 908 of file vpRowVector.cpp.

References vpArray2D< Type >::data, vpException::dimensionError, mean(), and vpArray2D< Type >::size().

double vpRowVector::sum ( ) const

Return the sum of all the elements $v_{i}$ of the row vector v(n).

Returns
The sum square value: $\sum_{j=0}^{n} v_j$.

Definition at line 1045 of file vpRowVector.cpp.

References vpArray2D< double >::colNum, and vpArray2D< double >::rowPtrs.

double vpRowVector::sumSquare ( ) const

Return the sum square of all the elements $v_{i}$ of the row vector v(n).

Returns
The sum square value: $\sum_{j=0}^{n} v_j^{2}$.

Definition at line 1062 of file vpRowVector.cpp.

References vpArray2D< double >::colNum, and vpArray2D< double >::rowPtrs.

Referenced by frobeniusNorm(), and normalize().

vpColVector vpRowVector::t ( ) const

Transpose the row vector. The resulting vector becomes a column vector.

Examples:
servoSimu3D_cMcd_CamVelocityWithoutVpServo.cpp, testAprilTag.cpp, testKalmanAcceleration.cpp, testKalmanVelocity.cpp, and testMatrixInitialization.cpp.

Definition at line 490 of file vpRowVector.cpp.

References vpArray2D< double >::colNum, vpArray2D< double >::data, and vpArray2D< Type >::data.

Referenced by transpose().

std::vector< double > vpRowVector::toStdVector ( )

Converts the vpRowVector to a std::vector.

Returns
The corresponding std::vector<double>.
Examples:
testRowVector.cpp.

Definition at line 745 of file vpRowVector.cpp.

References vpArray2D< double >::data, and vpArray2D< double >::size().

vpColVector vpRowVector::transpose ( ) const

Transpose the row vector. The resulting vector becomes a column vector.

See also
t()

Definition at line 501 of file vpRowVector.cpp.

References t().

void vpRowVector::transpose ( vpColVector v) const

Transpose the row vector. The resulting vector v becomes a column vector.

See also
t()

Definition at line 506 of file vpRowVector.cpp.

References t().

Friends And Related Function Documentation

enum vpGEMMmethod
related

Enumeration of the operations applied on matrices in vpGEMM() function.

Operations are :

  • VP_GEMM_A_T to use the transpose matrix of A instead of the matrix A
  • VP_GEMM_B_T to use the transpose matrix of B instead of the matrix B
  • VP_GEMM_C_T to use the transpose matrix of C instead of the matrix C

Definition at line 57 of file vpGEMM.h.

Member Data Documentation

unsigned int vpArray2D< double >::colNum
protectedinherited

Number of columns in the array.

Definition at line 137 of file vpArray2D.h.

Referenced by vpMatrix::AAt(), vpMatrix::AtA(), vpColVector::clear(), vpMatrix::detByLU(), vpMatrix::detByLUEigen3(), vpMatrix::detByLUGsl(), vpMatrix::detByLULapack(), vpMatrix::detByLUOpenCV(), vpMatrix::diag(), vpMatrix::eigenValues(), vpMatrix::expm(), vpMatrix::eye(), vpMatrix::getRow(), vpColVector::hadamard(), vpMatrix::hadamard(), vpMatrix::infinityNorm(), vpSubColVector::init(), vpSubRowVector::init(), vpSubMatrix::init(), insert(), vpMatrix::insert(), vpMatrix::inverseByCholeskyLapack(), vpMatrix::inverseByCholeskyOpenCV(), vpMatrix::inverseByLUEigen3(), vpMatrix::inverseByLUGsl(), vpMatrix::inverseByLULapack(), vpMatrix::inverseByLUOpenCV(), vpMatrix::inverseByQRLapack(), vpMatrix::inverseTriangular(), vpRotationMatrix::operator*(), operator*(), vpMatrix::operator*(), vpRotationMatrix::operator*=(), operator*=(), vpMatrix::operator*=(), operator+(), operator+=(), vpMatrix::operator+=(), operator,(), vpMatrix::operator,(), operator-(), operator-=(), vpMatrix::operator-=(), operator/(), vpMatrix::operator/(), operator/=(), vpMatrix::operator/=(), vpColVector::operator<<(), vpMatrix::operator<<(), vpSubRowVector::operator=(), vpSubMatrix::operator=(), operator=(), vpColVector::operator=(), vpMatrix::operator=(), vpColVector::operator==(), vpMatrix::qr(), vpMatrix::qrPivot(), reshape(), vpMatrix::setIdentity(), vpMatrix::solveByQR(), vpMatrix::solveBySVD(), stack(), vpMatrix::stack(), vpMatrix::stackColumns(), vpMatrix::stackRows(), sum(), vpMatrix::sum(), sumSquare(), vpMatrix::sumSquare(), t(), vpMatrix::t(), vpMatrix::transpose(), vpColVector::vpColVector(), vpMatrix::vpMatrix(), and vpRowVector().

double * vpArray2D< double >::data
inherited

Address of the first element of the data array.

Examples:
testArray2D.cpp, testDisplacement.cpp, testEigenConversion.cpp, testImageFilter.cpp, testMatrix.cpp, testPoseVector.cpp, testTranslationVector.cpp, and tutorial-matlab.cpp.

Definition at line 145 of file vpArray2D.h.

Referenced by vpMatrix::AtA(), vpQuaternionVector::buildFrom(), vpHomogeneousMatrix::buildFrom(), vpThetaUVector::buildFrom(), vpRzyzVector::buildFrom(), vpRxyzVector::buildFrom(), vpRzyxVector::buildFrom(), vpSubColVector::checkParentStatus(), vpSubRowVector::checkParentStatus(), vpSubMatrix::checkParentStatus(), vpColVector::clear(), vpHomogeneousMatrix::convert(), vpMatrix::detByLUEigen3(), vpMatrix::detByLUOpenCV(), vpMatrix::expm(), vpThetaUVector::extract(), vpMatrix::frobeniusNorm(), vpMatrix::getRow(), vpThetaUVector::getTheta(), vpThetaUVector::getU(), vpColVector::hadamard(), vpMatrix::hadamard(), vpSubColVector::init(), vpSubRowVector::init(), vpSubMatrix::init(), vpColVector::insert(), vpMatrix::insert(), vpMatrix::inverseByCholeskyOpenCV(), vpMatrix::inverseByLUEigen3(), vpMatrix::inverseByLUOpenCV(), vpTranslationVector::operator*(), operator*(), vpHomography::operator*(), vpColVector::operator*(), vpMatrix::operator*(), vpRotationVector::operator,(), vpTranslationVector::operator,(), vpRotationMatrix::operator,(), operator,(), vpColVector::operator,(), vpTranslationVector::operator-(), operator-(), vpColVector::operator-(), vpTranslationVector::operator/(), operator/(), vpHomography::operator/(), vpColVector::operator/(), vpHomography::operator/=(), vpRotationVector::operator<<(), vpTranslationVector::operator<<(), vpRotationMatrix::operator<<(), operator<<(), vpColVector::operator<<(), vpSubColVector::operator=(), vpSubRowVector::operator=(), vpQuaternionVector::operator=(), vpTranslationVector::operator=(), vpRotationMatrix::operator=(), vpRxyzVector::operator=(), vpRzyzVector::operator=(), vpRzyxVector::operator=(), operator=(), vpThetaUVector::operator=(), vpColVector::operator=(), vpMatrix::operator=(), vpColVector::operator==(), vpColVector::operator[](), vpMatrix::qr(), vpMatrix::qrPivot(), reshape(), vpColVector::reshape(), vpQuaternionVector::set(), vpMatrix::stack(), vpMatrix::stackRows(), vpColVector::sum(), vpColVector::sumSquare(), vpMatrix::svdEigen3(), vpMatrix::svdGsl(), vpMatrix::svdLapack(), vpMatrix::svdOpenCV(), vpRotationVector::t(), vpTranslationVector::t(), vpPoseVector::t(), t(), vpColVector::t(), vpRotationVector::toStdVector(), toStdVector(), vpColVector::toStdVector(), vpColVector::vpColVector(), vpMatrix::vpMatrix(), vpRowVector(), vpQuaternionVector::w(), vpQuaternionVector::x(), vpQuaternionVector::y(), vpQuaternionVector::z(), vpSubColVector::~vpSubColVector(), vpSubMatrix::~vpSubMatrix(), and vpSubRowVector::~vpSubRowVector().

unsigned int vpArray2D< double >::rowNum
protectedinherited

Number of rows in the array.

Definition at line 135 of file vpArray2D.h.

Referenced by vpMatrix::AAt(), vpMatrix::AtA(), vpColVector::clear(), vpMatrix::detByLU(), vpMatrix::detByLUEigen3(), vpMatrix::detByLUGsl(), vpMatrix::detByLULapack(), vpMatrix::detByLUOpenCV(), vpMatrix::diag(), vpMatrix::eigenValues(), vpMatrix::expm(), vpColVector::extract(), vpMatrix::eye(), vpColVector::hadamard(), vpMatrix::hadamard(), vpColVector::infinityNorm(), vpMatrix::infinityNorm(), vpSubColVector::init(), vpSubRowVector::init(), vpSubMatrix::init(), vpMatrix::insert(), vpMatrix::inverseByCholeskyLapack(), vpMatrix::inverseByCholeskyOpenCV(), vpMatrix::inverseByLUEigen3(), vpMatrix::inverseByLUGsl(), vpMatrix::inverseByLULapack(), vpMatrix::inverseByLUOpenCV(), vpMatrix::inverseByQRLapack(), vpMatrix::inverseTriangular(), vpTranslationVector::operator*(), vpRotationMatrix::operator*(), vpHomogeneousMatrix::operator*(), vpColVector::operator*(), vpMatrix::operator*(), vpTranslationVector::operator*=(), vpRotationMatrix::operator*=(), vpColVector::operator*=(), vpMatrix::operator*=(), vpColVector::operator+(), vpColVector::operator+=(), vpMatrix::operator+=(), vpColVector::operator,(), vpColVector::operator-(), vpColVector::operator-=(), vpMatrix::operator-=(), vpColVector::operator/(), vpMatrix::operator/(), vpTranslationVector::operator/=(), vpColVector::operator/=(), vpMatrix::operator/=(), vpColVector::operator<<(), vpMatrix::operator<<(), vpSubColVector::operator=(), vpSubRowVector::operator=(), vpSubMatrix::operator=(), vpTranslationVector::operator=(), operator=(), vpColVector::operator=(), vpMatrix::operator=(), vpColVector::operator==(), vpMatrix::qr(), vpMatrix::qrPivot(), vpColVector::reshape(), vpMatrix::setIdentity(), vpColVector::stack(), vpMatrix::stack(), vpMatrix::stackColumns(), vpMatrix::stackRows(), vpColVector::sum(), vpMatrix::sum(), vpRotationVector::sumSquare(), vpTranslationVector::sumSquare(), vpColVector::sumSquare(), vpMatrix::sumSquare(), vpTranslationVector::t(), vpPoseVector::t(), vpColVector::t(), vpMatrix::t(), vpMatrix::transpose(), vpColVector::vpColVector(), vpMatrix::vpMatrix(), and vpRowVector().