#include <visp3/core/vpSubColVector.h>

Inheritance diagram for vpSubColVector:

Public Member Functions
	vpSubColVector ()

	vpSubColVector (vpColVector &v, const unsigned int &offset, const unsigned int &nrows)

virtual	~vpSubColVector () VP_OVERRIDE

void	checkParentStatus () const

void	init (vpColVector &v, const unsigned int &offset, const unsigned int &nrows)

vpSubColVector &	operator= (const vpSubColVector &B)

vpSubColVector &	operator= (const vpPoseVector &p)

vpSubColVector &	operator= (const vpRotationVector &rv)

vpSubColVector &	operator= (const vpTranslationVector &tv)

vpSubColVector &	operator= (const vpColVector &B)

vpSubColVector &	operator= (const vpMatrix &B)

vpSubColVector &	operator= (const double &x)

void	clear ()

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

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

vpColVector &	deg2rad ()

vpColVector	extract (unsigned int r, unsigned int colsize) const

double	frobeniusNorm () const

vpColVector	hadamard (const vpColVector &v) const

double	infinityNorm () const

void	init (const vpColVector &v, unsigned int r, unsigned int nrows)

void	insert (unsigned int i, const vpColVector &v)

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

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

vpColVector &	normalize ()

vpColVector &	normalize (vpColVector &x) const

double &	operator[] (unsigned int n)

const double &	operator[] (unsigned int n) const

bool	operator== (const vpColVector &v) const

bool	operator== (double v) const

bool	operator!= (const vpColVector &v) const

bool	operator!= (double v) const

double	operator* (const vpColVector &v) const

vpMatrix	operator* (const vpRowVector &v) const

vpMatrix	operator* (const vpMatrix &M) const

vpColVector	operator* (double x) const

vpColVector &	operator*= (double x)

vpColVector	operator/ (double x) const

vpColVector &	operator/= (double x)

vpColVector	operator+ (const vpColVector &v) const

vpTranslationVector	operator+ (const vpTranslationVector &t) const

vpColVector &	operator+= (vpColVector v)

vpColVector	operator- (const vpColVector &v) const

vpColVector	operator- () const

vpColVector &	operator-= (vpColVector v)

vpColVector &	operator<< (const vpColVector &v)

vpColVector &	operator<< (double *x)

vpColVector &	operator<< (double val)

vpColVector &	operator, (double val)

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

vpColVector &	rad2deg ()

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

vpMatrix	reshape (unsigned int nrows, unsigned int ncols)

void	resize (unsigned int i, bool flagNullify=true)

void	resize (unsigned int nrows, unsigned int ncols, bool flagNullify)

void	stack (double d)

void	stack (const vpColVector &v)

double	sum () const

double	sumSquare () const

vpRowVector	t () const

std::vector< double >	toStdVector () const

vpRowVector	transpose () const

void	transpose (vpRowVector &v) const

Inherited functionalities from vpArray2D
vpArray2D< double >	hadamard (const vpArray2D< double > &m) const

void	insert (const vpArray2D< double > &A, unsigned int r, unsigned int c)

bool	operator== (const vpArray2D< double > &A) const

bool	operator!= (const vpArray2D< double > &A) const

void	resize (unsigned int nrows, unsigned int ncols, bool flagNullify=true, bool recopy_=true)

unsigned int	getCols () const

double	getMaxValue () const

double	getMinValue () const

unsigned int	getRows () const

unsigned int	size () const

Static Public Member Functions
static vpColVector	stack (const vpColVector &A, const vpColVector &B)

static void	stack (const vpColVector &A, const vpColVector &B, vpColVector &C)

static vpColVector	cross (const vpColVector &a, const vpColVector &b)

static vpColVector	crossProd (const vpColVector &a, const vpColVector &b)

static double	dotProd (const vpColVector &a, const vpColVector &b)

static vpColVector	invSort (const vpColVector &v)

static double	median (const vpColVector &v)

static double	mean (const vpColVector &v)

static vpMatrix	skew (const vpColVector &v)

static vpColVector	sort (const vpColVector &v)

static double	stdev (const vpColVector &v, bool useBesselCorrection=false)

Public Attributes
double *	data

Protected Attributes
unsigned int	m_pRowNum

vpColVector *	m_parent

Related Functions
(Note that these are not member functions.)
bool	operator== (const vpArray2D< double > &A) const

bool	operator== (const vpArray2D< float > &A) const

vpColVector	operator* (const double &x, const vpColVector &v)

enum	vpGEMMmethod

void	vpGEMM (const vpArray2D< double > &A, const vpArray2D< double > &B, const double &alpha, const vpArray2D< double > &C, const double &beta, vpArray2D< double > &D, const unsigned int &ops=0)

Inherited I/O from vpArray2D with Static Public Member Functions
unsigned int	rowNum

unsigned int	colNum

double **	rowPtrs

unsigned int	dsize

vpArray2D< double >	insert (const vpArray2D< double > &A, const vpArray2D< double > &B, unsigned int r, unsigned int c)

static void	insert (const vpArray2D< double > &A, const vpArray2D< double > &B, vpArray2D< double > &C, unsigned int r, unsigned int c)

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

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

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

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

static vpArray2D< double >	conv2 (const vpArray2D< double > &M, const vpArray2D< double > &kernel, const std::string &mode)

static void	conv2 (const vpArray2D< double > &M, const vpArray2D< double > &kernel, vpArray2D< double > &res, const std::string &mode)

Detailed Description

This class provides a mask on a vpColVector. It has internally a pointer to the parent vpColVector. All properties of vpColVector are available with a vpSubColVector.

See also: vpMatrix vpColVector vpRowVector

Definition at line 57 of file vpSubColVector.h.

Constructor & Destructor Documentation

◆ vpSubColVector() [1/2]

BEGIN_VISP_NAMESPACE vpSubColVector::vpSubColVector ( )

Default constructor that creates an empty vector.

Definition at line 41 of file vpSubColVector.cpp.

◆ vpSubColVector() [2/2]

vpSubColVector::vpSubColVector	(	vpColVector &	v,
		const unsigned int &	offset,
		const unsigned int &	nrows
	)

Construct a sub-column vector from a parent column vector.

Parameters

v	: parent column vector.
offset	: offset where the sub-column vector starts in the parent column vector.
nrows	: size of the sub-column vector.

Definition at line 49 of file vpSubColVector.cpp.

References init().

◆ ~vpSubColVector()

vpSubColVector::~vpSubColVector ( )

virtual

Destructor that set the pointer to the parent column vector to nullptr.

Definition at line 98 of file vpSubColVector.cpp.

References vpArray2D< double >::data.

Member Function Documentation

◆ checkParentStatus()

void vpSubColVector::checkParentStatus ( ) const

This method can be used to detect if the parent column vector always exits or its size have not changed. If this not the case an exception is thrown.

Definition at line 105 of file vpSubColVector.cpp.

References vpArray2D< double >::data, vpException::dimensionError, vpException::fatalError, vpArray2D< Type >::getRows(), m_parent, and m_pRowNum.

◆ clear()

void vpColVector::clear ( )

inlineinherited

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

Examples: testColVector.cpp.

Definition at line 290 of file vpColVector.h.

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

Referenced by vpMbTracker::createCylinderBBox().

◆ conv2() [1/2]

vpArray2D< double > vpArray2D< double >::conv2	(	const vpArray2D< Type > &	M,
		const vpArray2D< Type > &	kernel,
		const std::string &	mode
	)

staticinherited

Perform a 2D convolution similar to Matlab conv2 function: $M \star kernel$ .

Parameters

M	: First matrix.
kernel	: Second matrix.
mode	: Convolution mode: "full" (default), "same", "valid".

Convolution mode: full, same, valid (image credit: Theano doc).

Note: This is a very basic implementation that does not use FFT.

Definition at line 1053 of file vpArray2D.h.

◆ conv2() [2/2]

void vpArray2D< double >::conv2	(	const vpArray2D< Type > &	M,
		const vpArray2D< Type > &	kernel,
		vpArray2D< Type > &	res,
		const std::string &	mode
	)

staticinherited

Perform a 2D convolution similar to Matlab conv2 function: $M \star kernel$ .

Parameters

M	: First array.
kernel	: Second array.
res	: Result.
mode	: Convolution mode: "full" (default), "same", "valid".

Convolution mode: full, same, valid (image credit: Theano doc).

Note: This is a very basic implementation that does not use FFT.

Definition at line 1067 of file vpArray2D.h.

◆ cppPrint()

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

inherited

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

Parameters

os	: the stream to be printed in.
matrixName	: name of the column 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/vpColVector.h>
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
  vpColVector v(3);
  for (unsigned int i=0; i<v.size(); ++i)
    v[i] = i;
  v.cppPrint(std::cout, "v");
}

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

vpColVector v (3);
v[0] = 0;
v[1] = 1;
v[2] = 2;

See also: print(), matlabPrint(), maplePrint()

Definition at line 953 of file vpColVector.cpp.

References vpArray2D< double >::getRows().

◆ cross()

static vpColVector vpColVector::cross	(	const vpColVector &	a,
		const vpColVector &	b
	)

inlinestaticinherited

Compute and return the cross product of two 3-dimension vectors: $a \times b$ .

Parameters

a	: 3-dimension column vector.
b	: 3-dimension column vector.

Returns: The cross product $a \times b$ .

Exceptions

vpException::dimensionError If the vectors dimension is not equal to 3.

See also: crossProd(), dotProd(), operator*(const vpColVector &)

Definition at line 1259 of file vpColVector.h.

Referenced by vpMbtDistanceLine::buildFrom(), and vpPlane::init().

◆ crossProd()

vpColVector vpColVector::crossProd	(	const vpColVector &	a,
		const vpColVector &	b
	)

staticinherited

Compute and return the cross product of two vectors $a \times b$ .

Parameters

[in]	a	: 3-dimension column vector.
[in]	b	: 3-dimension column vector.

Returns: The cross product $a \times b$ .

Exceptions

vpException::dimensionError If the vectors dimension is not equal to 3.

See also: dotProd()

Definition at line 755 of file vpColVector.cpp.

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

Referenced by vpMbTracker::addPolygon(), vpMbTracker::addProjectionErrorPolygon(), vpPose::coplanar(), vpMbTracker::createCylinderBBox(), vpMath::lookAt(), vpThetaUVector::operator*(), vpPose::poseLagrangePlan(), and vpImageSimulator::setCameraPosition().

◆ csvPrint()

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

inherited

Print/save a column vector in csv format.

The following code

#include <visp3/core/vpColVector.h>
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
  std::ofstream ofs("log.csv", std::ofstream::out);
  vpColVector v(3);
  for (unsigned int i=0; i<v.size(); ++i)
    v[i] = i;
 
  v.csvPrint(ofs);
 
  ofs.close();
}

produces log.csv file that contains:

0
1
2

Definition at line 974 of file vpColVector.cpp.

References vpArray2D< double >::getRows().

◆ deg2rad()

vpColVector& vpColVector::deg2rad ( )

inlineinherited

Converts a column vector containing angles in degrees into radians and returns a reference to the vector.

Returns: A reference to the vector with values expressed in [rad].

See also: rad2deg()

Definition at line 380 of file vpColVector.h.

Referenced by vpRobotViper650::getPosition(), vpRobotViper850::getPosition(), vpRobotViper650::getVelocity(), vpRobotViper850::getVelocity(), vpRobotViper650::init(), vpRobotViper850::init(), vpRobotViper650::readPosFile(), vpRobotViper850::readPosFile(), vpRobotBiclops::readPositionFile(), vpRobotPtu46::readPositionFile(), vpRobotViper650::setPosition(), and vpRobotViper850::setPosition().

◆ dotProd()

double vpColVector::dotProd	(	const vpColVector &	a,
		const vpColVector &	b
	)

staticinherited

Compute end return the dot product of two column vectors:

$a \cdot b = \sum_{i=0}^n a_i * b_i$

where n is the dimension of both vectors.

Exceptions

vpException::dimensionError If the vector dimension differ.

See also: cross(), crossProd()

Definition at line 538 of file vpColVector.cpp.

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

Referenced by vpMbtFaceDepthNormal::computeNormalVisibility(), vpMbtPolygon::isVisible(), vpThetaUVector::operator*(), and vpImageSimulator::setCameraPosition().

◆ extract()

vpColVector vpColVector::extract	(	unsigned int	r,
		unsigned int	colsize
	)		const

inlineinherited

Extract a sub-column vector from a column vector.

Parameters

r	: Index of the row corresponding to the first element of the vector to extract.
colsize	: Size of the vector to extract.

Exceptions

vpException::fatalError If the vector to extract is not contained in the original one.

vpColVector v1;
for (unsigned int i=0; i<4; ++i)
  v1.stack(i);
// v1 is equal to [0 1 2 3]^T
vpColVector v2 = v1.extract(1, 3);
// v2 is equal to [1 2 3]^T

Examples: catchLuminanceMapping.cpp, catchRotation.cpp, testColVector.cpp, testForceTorqueAti.cpp, testForceTorqueAtiNetFTSensor.cpp, and testForceTorqueIitSensor.cpp.

Definition at line 405 of file vpColVector.h.

References vpException::fatalError, and vpArray2D< double >::rowNum.

Referenced by vpLinProg::colReduction(), vpRobotUniversalRobots::setPosition(), vpLinProg::simplex(), vpLinProg::solveLP(), and vpQuadProg::solveQPi().

◆ frobeniusNorm()

double vpColVector::frobeniusNorm ( ) const

inherited

Compute and return the Frobenius norm $||v|| = \sqrt{ \sum_{v_{i}^2}}$ of all the elements $v_{i}$ of the column vector $\bf v$ that is of dimension .

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

See also: infinityNorm()

Examples: testSvd.cpp, tutorial-pf.cpp, ukf-linear-example.cpp, ukf-nonlinear-complex-example.cpp, and ukf-nonlinear-example.cpp.

Definition at line 916 of file vpColVector.cpp.

References vpColVector::sumSquare().

Referenced by vpServo::computeProjectionOperators(), vpMbTracker::createCylinderBBox(), and vpMbtFaceDepthNormal::planeIsInvalid().

◆ getCols()

unsigned int vpArray2D< double >::getCols ( ) const

inlineinherited

Return the number of columns of the 2D array.

See also: getRows(), size()

Definition at line 337 of file vpArray2D.h.

◆ getMaxValue()

double vpArray2D< double >::getMaxValue

inherited

Return the array max value.

Examples: servoMomentImage.cpp.

Definition at line 339 of file vpArray2D.h.

◆ getMinValue()

double vpArray2D< double >::getMinValue

inherited

Return the array min value.

Examples: servoMomentImage.cpp.

Definition at line 341 of file vpArray2D.h.

◆ getRows()

unsigned int vpArray2D< double >::getRows ( ) const

inlineinherited

◆ hadamard() [1/2]

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

inherited

Compute the Hadamard product (element wise matrix multiplication).

Parameters

m	: Second matrix;

Returns: m1.hadamard(m2) The Hadamard product : $m1 \circ m2 = (m1 \circ m2)_{i,j} = (m1)_{i,j} (m2)_{i,j}$

Definition at line 641 of file vpArray2D.h.

◆ hadamard() [2/2]

vpColVector vpColVector::hadamard ( const vpColVector & v ) const

inherited

Compute the Hadamard product (element wise vector multiplication).

Parameters

v	: Second vector;

Returns: v1.hadamard(v2) The kronecker product : $v1 \circ v2 = (v1 \circ v2)_{i} = (v1)_{i} (v2)_{i}$

Examples: catchArray2D.cpp, perfColVectorOperations.cpp, tutorial-pf-curve-fitting-all.cpp, and tutorial-pf-curve-fitting-pf.cpp.

Definition at line 923 of file vpColVector.cpp.

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

◆ infinityNorm()

double vpColVector::infinityNorm ( ) const

inherited

Compute and return the infinity norm ${||v||}_{\infty} = max\left({\mid v_{i} \mid}\right)$ with $i \in \{0, ..., m-1\}$ where m is the vector size and $v_i$ an element of the vector.

Returns: The infinity norm if the matrix is initialized, 0 otherwise.

See also: frobeniusNorm()

Definition at line 941 of file vpColVector.cpp.

References vpArray2D< double >::rowNum.

Referenced by vpLinProg::colReduction(), vpAdaptiveGain::operator()(), and vpLinProg::rowReduction().

◆ init() [1/2]

void vpColVector::init	(	const vpColVector &	v,
		unsigned int	r,
		unsigned int	nrows
	)

inherited

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

Parameters

v	: Input column vector used for initialization.
r	: row index in v that corresponds to the first element of the column vector to construct.
nrows	: Number of rows of the constructed column vector.

The sub-vector starting from v[r] element and ending on v[r+nrows-1] element is used to initialize the constructed column vector.

The following code shows how to use this function:

#include <visp3/core/vpColVector.h>
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
  vpColVector v(4);
  int val = 0;
  for(size_t i=0; i<v.getRows(); ++i) {
    v[i] = val++;
  }
  std::cout << "v: " << v.t() << std::endl;
 
  vpColVector w;
  w.init(v, 0, 2);
  std::cout << "w: " << w.t() << std::endl;
}

It produces the following output:

v: 0 1 2 3

w: 1 2

Examples: testColVector.cpp.

Definition at line 182 of file vpColVector.cpp.

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

Referenced by vpColVector::vpColVector().

◆ init() [2/2]

void vpSubColVector::init	(	vpColVector &	v,
		const unsigned int &	offset,
		const unsigned int &	nrows
	)

Initialize a sub-column vector from a parent column vector.

Parameters

v	: parent column vector.
offset	: offset where the sub-column vector starts in the parent column vector.
nrows	: size of the sub-column vector.

Definition at line 61 of file vpSubColVector.cpp.

References vpArray2D< double >::colNum, vpArray2D< double >::data, vpArray2D< Type >::data, vpException::dimensionError, vpArray2D< double >::dsize, vpException::fatalError, vpArray2D< Type >::getRows(), m_parent, m_pRowNum, vpArray2D< double >::rowNum, and vpArray2D< double >::rowPtrs.

Referenced by vpSubColVector().

◆ insert() [1/3]

vpArray2D< double > vpArray2D< double >::insert	(	const vpArray2D< Type > &	A,
		const vpArray2D< Type > &	B,
		unsigned int	r,
		unsigned int	c
	)

inherited

Insert array B in array A at the given position.

Parameters

A	: Main array.
B	: Array to insert.
r	: Index of the row where to add the array.
c	: Index of the column where to add the array.

Returns: Array with B insert in A.

Warning: Throw exception if the sizes of the arrays do not allow the insertion.

Definition at line 1081 of file vpArray2D.h.

◆ insert() [2/3]

void vpArray2D< double >::insert	(	const vpArray2D< Type > &	A,
		unsigned int	r,
		unsigned int	c
	)

inlineinherited

Insert array A at the given position in the current array.

Warning: Throw vpException::dimensionError if the dimensions of the matrices do not allow the operation.

Parameters

A	: The array to insert.
r	: The index of the row to begin to insert data.
c	: The index of the column to begin to insert data.

Definition at line 497 of file vpArray2D.h.

◆ insert() [3/3]

void vpColVector::insert	(	unsigned int	i,
		const vpColVector &	v
	)

inherited

Insert a column vector.

Parameters

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

The following example shows how to use this function:

#include <visp3/core/vpColVector.h>
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
  vpColVector v(4);
  for (unsigned int i=0; i < v.size(); ++i)
    v[i] = i;
  std::cout << "v: " << v.t() << std::endl;
 
  vpColVector w(2);
  for (unsigned int i=0; i < w.size(); ++i)
    w[i] = i+10;
  std::cout << "w: " << w.t() << std::endl;
 
  v.insert(1, w);
  std::cout << "v: " << v.t() << std::endl;
}

It produces the following output:

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

Examples: testColVector.cpp, and testVirtuoseAfma6.cpp.

Definition at line 791 of file vpColVector.cpp.

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

Referenced by vpMbDepthDenseTracker::computeVVSInteractionMatrixAndResidu(), vpMbDepthNormalTracker::computeVVSInteractionMatrixAndResidu(), vpMbGenericTracker::computeVVSInteractionMatrixAndResidu(), vpMbEdgeTracker::computeVVSWeights(), and vpMbGenericTracker::computeVVSWeights().

◆ invSort()

vpColVector vpColVector::invSort ( const vpColVector & v )

staticinherited

Return a column vector with elements of v that are reverse sorted with values going from greatest to lowest.

Example:

#include <visp3/core/vpColVector.h>
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
  vpColVector v(10);
  v[0] = 5; v[1] = 7; v[2] = 4; v[3] = 2; v[4] = 8;
  v[5] = 6; v[6] = 1; v[7] = 9; v[8] = 0; v[9] = 3;
 
  std::cout << "v: " << v.t() << std::endl;
 
  vpColVector s = vpColVector::invSort(v);
  std::cout << "s: " << s.t() << std::endl;
}

Output:

v: 5 7 4 2 8 6 1 9 0 3

s: 9 8 7 6 5 4 3 2 1 0

See also: sort()

Definition at line 586 of file vpColVector.cpp.

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

◆ load()

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

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 669 of file vpArray2D.h.

◆ loadYAML()

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

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: servoFlirPtuIBVS.cpp, servoFrankaIBVS.cpp, servoFrankaPBVS.cpp, servoUniversalRobotsIBVS.cpp, servoUniversalRobotsPBVS.cpp, tutorial-flir-ptu-ibvs.cpp, tutorial-hsv-segmentation-pcl-viewer.cpp, tutorial-hsv-segmentation-pcl.cpp, and tutorial-hsv-segmentation.cpp.

Definition at line 783 of file vpArray2D.h.

◆ maplePrint()

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

inherited

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

The following code

#include <visp3/core/vpColVector.h>
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
  vpColVector v(3);
  for (unsigned int i=0; i<v.size(); ++i)
    v[i] = i;
  std::cout << "v = "; v.maplePrint(std::cout);
}

produces this output:

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

that could be copy/paste in Maple.

See also: print() matlabPrint(), cppPrint()

Definition at line 985 of file vpColVector.cpp.

References vpArray2D< double >::getRows().

◆ matlabPrint()

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

inherited

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

The following code

#include <visp3/core/vpColVector.h>
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
  vpColVector v(3);
  for (unsigned int i=0; i<v.size(); ++i)
    v[i] = i;
  std::cout << "v = "; v.matlabPrint(std::cout);
}

produces this output:

v = [ 0, ;
1, ;
2, ]

that could be copy/paste in Matlab:

>> v = [ 0, ;
1, ;
2, ]
 
v =
 
    0
    1
    2
 
>>

See also: print(), cppPrint(), maplePrint()

Definition at line 998 of file vpColVector.cpp.

References vpArray2D< double >::getRows().

◆ mean()

double vpColVector::mean ( const vpColVector & v )

staticinherited

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

Examples: testColVector.cpp.

Definition at line 683 of file vpColVector.cpp.

References vpArray2D< Type >::data, vpException::dimensionError, vpArray2D< Type >::getRows(), vpArray2D< Type >::size(), and vpColVector::sum().

◆ median()

double vpColVector::median ( const vpColVector & v )

staticinherited

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

Examples: testColVector.cpp.

Definition at line 695 of file vpColVector.cpp.

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

◆ normalize() [1/2]

vpColVector & vpColVector::normalize ( )

inherited

Normalize the column vector.

Considering the n-dim column vector ${\bf x} = (x_0, x_1, \ldots, n_{n-1})$ normalize each vector element $ i $ :

$x_i = \frac{x_i}{\sqrt{\sum_{i=0}^{n-1}x^2_i}}$

Returns: A reference to the normalized vector.

Examples: catchQuaternion.cpp, testColVector.cpp, and testVirtuoseHapticBox.cpp.

Definition at line 574 of file vpColVector.cpp.

References vpColVector::sumSquare().

Referenced by vpCameraParameters::computeFov(), vpMbtFaceDepthNormal::computeNormalVisibility(), vpMbTracker::createCylinderBBox(), vpMbtPolygon::isVisible(), and vpMath::lookAt().

◆ normalize() [2/2]

vpColVector & vpColVector::normalize ( vpColVector & x ) const

inherited

Normalize a column vector.

Considering the n-dim column vector ${\bf x} = (x_0, x_1, \ldots, n_{n-1})$ normalize each vector element $ i $ :

$x_i = \frac{x_i}{\sqrt{\sum_{i=0}^{n-1} x^2_i}}$

Parameters

[in,out] x : As input, the vector to normalize, as output the normalized vector.

Returns: A reference to the normalized vector.

Definition at line 567 of file vpColVector.cpp.

References vpColVector::sumSquare().

◆ operator!=() [1/3]

bool operator!= ( const vpArray2D< Type > & A ) const

inherited

Not equal to comparison operator of a 2D array.

Definition at line 523 of file vpArray2D.h.

◆ operator!=() [2/3]

bool vpColVector::operator!= ( const vpColVector & v ) const

inherited

Compare two column vectors.

Parameters

v	: Vector to compare with.

Returns: true when their respective size or their values differ, false when their size and values are the same.

Definition at line 523 of file vpColVector.cpp.

◆ operator!=() [3/3]

bool vpColVector::operator!= ( double v ) const

inherited

Compare a column vector to a floating point value.

Parameters

v	: Floating point value to compare with.

Returns: true when at least one value of the vector differ from the floating point value v. false when all the vector values are equal to v.

Definition at line 525 of file vpColVector.cpp.

◆ operator*() [1/4]

double vpColVector::operator* ( const vpColVector & v ) const

inherited

Operator that performs the dot product between two column vectors.

Exceptions

vpException::dimensionError If the vector dimension differ.

See also: dotProd()

Definition at line 116 of file vpColVector.cpp.

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

◆ operator*() [2/4]

vpMatrix vpColVector::operator* ( const vpMatrix & M ) const

inherited

Multiply a column vector by a matrix.

Parameters

M : Matrix.

Returns: The resulting matrix.

Definition at line 144 of file vpColVector.cpp.

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

◆ operator*() [3/4]

vpMatrix vpColVector::operator* ( const vpRowVector & v ) const

inherited

Multiply a column vector by a row vector.

Parameters

v	: Row vector.

Returns: The resulting matrix.

Definition at line 132 of file vpColVector.cpp.

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

◆ operator*() [4/4]

vpColVector vpColVector::operator* ( double x ) const

inherited

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

Parameters

x	: The scalar.

Returns: The column vector multiplied by the scalar. The current column vector (*this) is unchanged.

vpColVector v(3);
v[0] = 1;
v[1] = 2;
v[2] = 3;
 
vpColVector w = v * 3;
// v is unchanged
// w is now equal to : [3, 6, 9]

Definition at line 294 of file vpColVector.cpp.

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

◆ operator*=()

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

inherited

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

Parameters

x	: The scalar.

Returns: The column vector multiplied by the scalar.

vpColVector v(3);
v[0] = 1;
v[1] = 2;
v[2] = 3;
 
v *= 3;
// v is now equal to : [3, 6, 9]

Definition at line 308 of file vpColVector.cpp.

References vpArray2D< double >::rowNum.

◆ operator+() [1/2]

BEGIN_VISP_NAMESPACE vpColVector vpColVector::operator+ ( const vpColVector & v ) const

inherited

Operator that allows to add two column vectors.

Definition at line 60 of file vpColVector.cpp.

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

◆ operator+() [2/2]

vpTranslationVector vpColVector::operator+ ( const vpTranslationVector & t ) const

inherited

Operator that allows to add a column vector to a translation vector.

Parameters

t	: 3-dimension translation vector to add.

Returns: The sum of the current column vector (*this) and the translation vector to add.
vpTranslationVector t1(1,2,3);

vpColVector v(3);

v[0] = 4;

v[1] = 5;

v[2] = 6;

vpTranslationVector t2;

t2 = v + t1;

// t1 and v leave unchanged

// t2 is now equal to : 5, 7, 9

vpTranslationVector
Class that consider the case of a translation vector.
Definition: vpTranslationVector.h:119

Definition at line 74 of file vpColVector.cpp.

References vpException::dimensionError, vpArray2D< double >::getRows(), and vpColVector::t().

◆ operator+=()

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

inherited

Operator that allows to add two column vectors.

Definition at line 90 of file vpColVector.cpp.

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

◆ operator,()

vpColVector & vpColVector::operator, ( double val )

inherited

This operator could be used to set column vector elements:

#include <visp3/code/vpColVector.h
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
  vpColVector v;
  v << -1, -2.1, -3;
  std::cout << "v:" << v << std::endl;
}

It produces the following printings:

v: -1 -2.1 -3

See also: operator<<()

Definition at line 438 of file vpColVector.cpp.

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

◆ operator-() [1/2]

vpColVector vpColVector::operator- ( void ) const

inherited

Operator that allows to negate all the column vector elements.

vpColVector r(3, 1);
// r contains [1 1 1]^T
vpColVector v = -r;
// v contains [-1 -1 -1]^T

Definition at line 278 of file vpColVector.cpp.

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

◆ operator-() [2/2]

vpColVector vpColVector::operator- ( const vpColVector & v ) const

inherited

Operator subtraction of two vectors this = this - v

Definition at line 161 of file vpColVector.cpp.

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

◆ operator-=()

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

inherited

Operator that allows to subtract two column vectors.

Definition at line 103 of file vpColVector.cpp.

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

◆ operator/()

vpColVector vpColVector::operator/ ( double x ) const

inherited

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

Parameters

x	: The scalar.

Returns: The column vector divided by the scalar. The current column vector (*this) is unchanged.

vpColVector v(3);
v[0] = 8;
v[1] = 4;
v[2] = 2;
 
vpColVector w = v / 2;
// v is unchanged
// w is now equal to : [4, 2, 1]

Definition at line 324 of file vpColVector.cpp.

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

◆ operator/=()

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

inherited

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

Parameters

x	: The scalar.

Returns: The column vector divided by the scalar.

vpColVector v(3);
v[0] = 8;
v[1] = 4;
v[2] = 2;
 
v /= 2;
// v is now equal to : [4, 2, 1]

Definition at line 316 of file vpColVector.cpp.

References vpArray2D< double >::rowNum.

◆ operator<<() [1/3]

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

inherited

Copy operator. Allows operation such as A << v

#include <visp3/core/vpColVector.h>
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
  vpColVector A, B(5);
  for (unsigned int i=0; i<B.size(); ++i)
    B[i] = i;
  A << B;
  std::cout << "A: " << A.t() << std::endl;
}

In column vector A we get:

A: 0 1 2 3 4

Definition at line 415 of file vpColVector.cpp.

◆ operator<<() [2/3]

vpColVector & vpColVector::operator<< ( double * x )

inherited

Assignment operator. Allow operation such as A = *v

The following example shows how to use this operator.

#include <visp3/core/vpColVector.h>
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
  size_t n = 5;
  vpColVector A(n);
  double *B = new double [n];
  for (unsigned int i = 0; i < n; ++i)
    B[i] = i;
  A << B;
  std::cout << "A: " << A.t() << std::endl;
  delete [] B;
}

It produces the following output:

A: 0 1 2 3 4

Definition at line 421 of file vpColVector.cpp.

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

◆ operator<<() [3/3]

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

inherited

This operator could be used to set column vector elements:

#include <visp3/code/vpColVector.h
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
  vpColVector v;
  v << -1, -2.1, -3;
  std::cout << "v:" << v << std::endl;
}

It produces the following printings:

v: -1 -2.1 -3

See also: operator,()

Definition at line 431 of file vpColVector.cpp.

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

◆ operator=() [1/7]

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

Set all the elements of the sub-column vector to x.

Parameters

x	: a scalar value.

Definition at line 182 of file vpSubColVector.cpp.

References vpArray2D< double >::data, and vpArray2D< double >::rowNum.

◆ operator=() [2/7]

vpSubColVector & vpSubColVector::operator= ( const vpColVector & B )

Allow to initialize a sub-column vector from a column vector using operation A = B. Notice that the sub-column vector is not resized to the dimension of B.

Parameters

B	: a column vector.

Definition at line 142 of file vpSubColVector.cpp.

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

◆ operator=() [3/7]

vpSubColVector & vpSubColVector::operator= ( const vpMatrix & B )

Allow to initialize a sub-column vector from a m-by-1 matrix using operation A = B. Notice that the sub-column vector is not resized to the dimension of B.

Parameters

B	: a matrix of size m-by-1.

Definition at line 164 of file vpSubColVector.cpp.

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

◆ operator=() [4/7]

vpSubColVector & vpSubColVector::operator= ( const vpPoseVector & p )

Operator that allows to convert a pose vector into a column vector.

Definition at line 231 of file vpSubColVector.cpp.

References vpArray2D< double >::data, vpArray2D< Type >::data, vpArray2D< Type >::getRows(), vpColVector::resize(), and vpArray2D< double >::rowNum.

◆ operator=() [5/7]

vpSubColVector & vpSubColVector::operator= ( const vpRotationVector & rv )

Operator that allows to convert a rotation vector into a column vector.

Definition at line 212 of file vpSubColVector.cpp.

References vpArray2D< double >::data, vpArray2D< Type >::data, vpArray2D< Type >::getRows(), vpColVector::resize(), and vpArray2D< double >::rowNum.

◆ operator=() [6/7]

vpSubColVector & vpSubColVector::operator= ( const vpSubColVector & B )

Allow to initialize a sub-column vector from an other one using operation A = B. Notice that the sub-column vector is not resized to the dimension of B.

Parameters

B	: a sub-column vector.

Definition at line 121 of file vpSubColVector.cpp.

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

◆ operator=() [7/7]

vpSubColVector & vpSubColVector::operator= ( const vpTranslationVector & tv )

Operator that allows to convert a translation vector into a column vector.

Definition at line 193 of file vpSubColVector.cpp.

References vpArray2D< double >::data, vpArray2D< Type >::data, vpArray2D< Type >::getRows(), vpColVector::resize(), and vpArray2D< double >::rowNum.

◆ operator==() [1/3]

bool vpArray2D< double >::operator== ( const vpArray2D< Type > & A ) const

inherited

Equal to comparison operator of a 2D array.

Definition at line 519 of file vpArray2D.h.

◆ operator==() [2/3]

bool vpColVector::operator== ( const vpColVector & v ) const

inherited

Compare two column vectors.

Parameters

v	: Vector to compare with.

Returns: true when their respective size and their respective values are the same, false when their size or values differ.

Definition at line 497 of file vpColVector.cpp.

References vpArray2D< Type >::colNum, vpArray2D< double >::colNum, vpArray2D< Type >::data, vpArray2D< double >::data, vpMath::equal(), vpArray2D< Type >::rowNum, and vpArray2D< double >::rowNum.

◆ operator==() [3/3]

bool vpColVector::operator== ( double v ) const

inherited

Compare a column vector to a floating point value.

Parameters

v	: Floating point value to compare with.

Returns: true when all the values of the vector are equal to the floating point value v, false otherwise.

Definition at line 512 of file vpColVector.cpp.

References vpArray2D< double >::data, vpMath::equal(), and vpArray2D< double >::rowNum.

◆ operator[]() [1/2]

double& vpColVector::operator[] ( unsigned int n )

inlineinherited

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

Definition at line 635 of file vpColVector.h.

References vpArray2D< double >::data.

◆ operator[]() [2/2]

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

inlineinherited

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

Definition at line 640 of file vpColVector.h.

References vpArray2D< double >::data.

◆ print()

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

inherited

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

Parameters

s	Stream used for the printing.
length	The suggested width of each vector element. The actual width grows in order to accommodate the whole integral part, and shrinks if the whole extent is not needed for all the numbers.
intro	The 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: testColVector.cpp, and testTwistMatrix.cpp.

Definition at line 802 of file vpColVector.cpp.

References vpArray2D< double >::getRows(), and vpMath::maximum().

◆ rad2deg()

vpColVector& vpColVector::rad2deg ( )

inlineinherited

Converts a column vector containing angles in radians into degrees and returns a reference to the vector.

Returns: A reference to the vector with values expressed in [deg].

See also: deg2rad()

Examples: testUniversalRobotsGetData.cpp.

Definition at line 1053 of file vpColVector.h.

Referenced by vpRobotViper650::setPosition(), vpRobotViper850::setPosition(), vpRobotViper650::setVelocity(), and vpRobotViper850::setVelocity().

◆ reshape() [1/2]

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

inherited

Reshape the column vector in a matrix.

Parameters

nrows	: number of rows of the matrix
ncols	: number of columns of the matrix

Returns: The reshaped matrix.

See also: reshape(vpMatrix &, const unsigned int &, const unsigned int &)

Definition at line 767 of file vpColVector.cpp.

References vpColVector::reshape().

◆ reshape() [2/2]

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

inherited

Reshape the column 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::dimensionError If the matrix and the column vector have not the same size.

The following example shows how to use this method.

#include <visp3/core/vpColVector.h>
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
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;
 
  vpColVector col = mat.stackColumns();
  std::cout << "column vector: \n" << col << std::endl;
 
  vpMatrix remat = col.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
column vector:
1
5
9
2
6
10
3
7
11
4
8
12
remat:
1  2  3  4
5  6  7  8
9  10  11  12

Examples: testMatrixInitialization.cpp.

Definition at line 774 of file vpColVector.cpp.

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

Referenced by vpColVector::reshape().

◆ resize() [1/3]

void vpColVector::resize	(	unsigned int	i,
		bool	flagNullify = `true`
	)

inlineinherited

Modify the size of the column vector.

Parameters

i	: Size of the vector. This value corresponds to the vector number of rows.
flagNullify	: If true, set the data to zero.

Exceptions

vpException::fatalError When ncols is not equal to 1.

Examples: ClassUsingPclViewer.cpp, catchJsonArrayConversion.cpp, perfMatrixMultiplication.cpp, servoAfma4Point2DCamVelocityKalman.cpp, servoViper850Point2DCamVelocityKalman.cpp, testColVector.cpp, and testRealSense2_T265_images_odometry_async.cpp.

Definition at line 1143 of file vpColVector.h.

References vpArray2D< Type >::resize().

Referenced by vpMatrix::add2Matrices(), vpCylinder::changeFrame(), vpLine::changeFrame(), vpPoint::changeFrame(), vpSphere::changeFrame(), vpCircle::changeFrame(), vpRobotAfma6::checkJointLimits(), vpLinProg::colReduction(), vpMbtFaceDepthNormal::computeDesiredFeaturesPCL(), vpMbtFaceDepthNormal::computeDesiredFeaturesSVD(), vpServo::computeError(), vpMbtFaceDepthNormal::computeInteractionMatrix(), vpMbtFaceDepthDense::computeInteractionMatrixAndResidu(), vpMbTracker::computeJTR(), vpMbtFaceDepthNormal::computeNormalVisibility(), vpPose::computeResidual(), vpMbDepthDenseTracker::computeVVSInit(), vpMbDepthNormalTracker::computeVVSInit(), vpMbEdgeTracker::computeVVSInit(), vpMbGenericTracker::computeVVSInit(), vpMatrix::cond(), vpFeatureMoment::duplicate(), VISP_NAMESPACE_NAME::eigen2visp(), vpMatrix::eigenValues(), vpFeatureLuminance::error(), vpFeatureLuminanceMapping::error(), vpMbtFaceDepthNormal::estimateFeatures(), vpMbtFaceDepthNormal::estimatePlaneEquationSVD(), vpThetaUVector::extract(), vpRobotFranka::getCoriolis(), vpQbSoftHand::getCurrent(), vpRobotAfma4::getDisplacement(), vpRobotAfma6::getDisplacement(), vpRobotViper650::getDisplacement(), vpRobotViper850::getDisplacement(), vpRobotFranka::getForceTorque(), vpRobotViper650::getForceTorque(), vpRobotViper850::getForceTorque(), vpRobotFranka::getGravity(), vpOccipitalStructure::getIMUAcceleration(), vpOccipitalStructure::getIMUData(), vpOccipitalStructure::getIMUVelocity(), vpAfma6::getInverseKinematics(), vpViper::getInverseKinematicsWrist(), vpRobotFlirPtu::getJointPosition(), vpRobotKinova::getJointPosition(), vpPlane::getNormal(), vpTemplateTrackerWarpHomography::getParam(), vpRobotFranka::getPosition(), vpRobotKinova::getPosition(), vpRobotUniversalRobots::getPosition(), vpRobotAfma4::getPosition(), vpRobotAfma6::getPosition(), vpRobotViper650::getPosition(), vpRobotViper850::getPosition(), vpRobotBiclops::getPosition(), vpRobotPololuPtu::getPosition(), vpRobotPtu46::getPosition(), vpSimulatorCamera::getPosition(), vpSimulatorPioneer::getPosition(), vpSimulatorPioneerPan::getPosition(), vpQbSoftHand::getPosition(), vpLuminanceDCT::vpMatrixZigZagIndex::getValues(), vpRobotFranka::getVelocity(), vpRobotBiclops::getVelocity(), vpRobotPtu46::getVelocity(), vpRobotPioneer::getVelocity(), vpRobotAfma4::getVelocity(), vpRobotAfma6::getVelocity(), vpRobotViper650::getVelocity(), vpRobotViper850::getVelocity(), vpPoint::getWorldCoordinates(), vpColVector::hadamard(), vpLuminanceMapping::imageAsVector(), vpMeTracker::init(), vpCircle::init(), vpCylinder::init(), vpLine::init(), vpPoint::init(), vpSphere::init(), vpRobotBiclops::init(), vpFeatureDepth::init(), vpFeatureEllipse::init(), vpFeatureLine::init(), vpFeaturePoint::init(), vpFeaturePoint3D::init(), vpFeaturePointPolar::init(), vpFeatureSegment::init(), vpFeatureThetaU::init(), vpFeatureTranslation::init(), vpFeatureVanishingPoint::init(), vpFeatureLuminanceMapping::init(), vpColVector::init(), vpImageSimulator::init(), vpTemplateTrackerTriangle::init(), vpFeatureLuminance::init(), vpKalmanFilter::init(), vpRobotAfma4::init(), vpRobotAfma6::init(), vpRobotViper650::init(), vpRobotViper850::init(), vpFeatureMoment::init(), vpTemplateTrackerMIESM::initCompInverse(), vpTemplateTrackerZNCCInverseCompositional::initHessienDesired(), vpMbtDistanceCircle::initInteractionMatrixError(), vpMbtDistanceCylinder::initInteractionMatrixError(), vpMbtDistanceLine::initInteractionMatrixError(), vpMatrix::kernel(), vpRobust::MEstimator(), vpMatrix::multMatrixVector(), vpMatrix::nullSpace(), vpColVector::operator,(), vpColVector::operator-(), vpColVector::operator<<(), vpFeatureLuminance::operator=(), vpColVector::operator=(), operator=(), vpPose::poseVirtualVSrobust(), vpPoint::projection(), vpCircle::projection(), vpCylinder::projection(), vpLine::projection(), vpSphere::projection(), vpRobotAfma4::readPosFile(), vpRobotAfma6::readPosFile(), vpRobotFranka::readPosFile(), vpRobotUniversalRobots::readPosFile(), vpRobotViper650::readPosFile(), vpRobotViper850::readPosFile(), vpRobotBiclops::readPositionFile(), vpRobotPtu46::readPositionFile(), vpLinProg::rowReduction(), vpLinProg::simplex(), vpLinProg::solveLP(), vpQuadProg::solveQPi(), vpColVector::stack(), vpMatrix::stackColumns(), vpMatrix::sub2Matrices(), vpMatrix::svdEigen3(), vpMatrix::svdLapack(), vpMatrix::svdOpenCV(), vpFeatureMoment::update(), vpGenericFeature::vpGenericFeature(), vpImageSimulator::vpImageSimulator(), vpMeEllipse::vpMeEllipse(), vpTemplateTracker::vpTemplateTracker(), vpTemplateTrackerMI::vpTemplateTrackerMI(), vpTemplateTrackerSSD::vpTemplateTrackerSSD(), vpTemplateTrackerSSDESM::vpTemplateTrackerSSDESM(), vpTemplateTrackerZNCC::vpTemplateTrackerZNCC(), and vpViper::vpViper().

◆ resize() [2/3]

void vpColVector::resize	(	unsigned int	nrows,
		unsigned int	ncols,
		bool	flagNullify
	)

inlineinherited

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

Parameters

nrows	: Vector number of rows. This value corresponds to the size of the vector.
ncols	: Vector number of columns. This value should be set to 1.
flagNullify	: If true, set the data to zero.

Exceptions

vpException::fatalError When ncols is not equal to 1.

Definition at line 1159 of file vpColVector.h.

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

◆ resize() [3/3]

void vpArray2D< double >::resize	(	unsigned int	nrows,
		unsigned int	ncols,
		bool	flagNullify = `true`,
		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.

Examples: catchArray2D.cpp, catchJsonArrayConversion.cpp, catchParticleFilter.cpp, perfMatrixMultiplication.cpp, perfMatrixTranspose.cpp, testMatrix.cpp, testMatrixDeterminant.cpp, testMatrixInverse.cpp, testMatrixPseudoInverse.cpp, and testSvd.cpp.

Definition at line 362 of file vpArray2D.h.

◆ save()

static bool vpArray2D< double >::save	(	const std::string &	filename,
		const vpArray2D< Type > &	A,
		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 874 of file vpArray2D.h.

◆ saveYAML()

static bool vpArray2D< double >::saveYAML	(	const std::string &	filename,
		const vpArray2D< Type > &	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<double> M(3,4);
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
data:
  - [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
data:
    - [0, 0, 0, 0]
    - [0, 0, 0, 0]
    - [0, 0, 0, 0]

See also: loadYAML()

Definition at line 972 of file vpArray2D.h.

◆ size()

unsigned int vpArray2D< double >::size ( ) const

inlineinherited

Return the number of elements of the 2D array.

Definition at line 349 of file vpArray2D.h.

◆ skew()

vpMatrix vpColVector::skew ( const vpColVector & v )

staticinherited

Compute the skew symmetric matrix $[{\bf v}]_\times$ of vector v.

$\mbox{if} \quad {\bf v} = \left( \begin{array}{c} x \\ y \\ z \end{array}\right), \quad \mbox{then} \qquad [{\bf v}]_\times = \left( \begin{array}{ccc} 0 & -z & y \\ z & 0 & -x \\ -y & x & 0 \end{array}\right)$

Parameters

v	: Input vector used to compute the skew symmetric matrix.

Examples: servoSimu3D_cMcd_CamVelocityWithoutVpServo.cpp, and testVirtuoseHapticBox.cpp.

Definition at line 729 of file vpColVector.cpp.

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

Referenced by vpColVector::crossProd(), and vpFeatureThetaU::interaction().

◆ sort()

vpColVector vpColVector::sort ( const vpColVector & v )

staticinherited

Return a column vector with elements of v that are sorted with values going from lowest to greatest.

Example:

#include <visp3/core/vpColVector.h>
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
  vpColVector v(10);
  v[0] = 5; v[1] = 7; v[2] = 4; v[3] = 2; v[4] = 8;
  v[5] = 6; v[6] = 1; v[7] = 9; v[8] = 0; v[9] = 3;
 
  std::cout << "v: " << v.t() << std::endl;
 
  vpColVector s = vpColVector::sort(v);
  std::cout << "s: " << s.t() << std::endl;
}

Output:

v: 5 7 4 2 8 6 1 9 0 3

s: 0 1 2 3 4 5 6 7 8 9

See also: invSort()

Definition at line 611 of file vpColVector.cpp.

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

◆ stack() [1/4]

vpColVector vpColVector::stack	(	const vpColVector &	A,
		const vpColVector &	B
	)

staticinherited

Stack column vectors.

Parameters

A	: Initial vector.
B	: Vector to stack at the end of A.

Returns: Stacked vector .

vpColVector A(3);
vpColVector B(5);
vpColVector C;
C = vpColVector::stack(A, B); // C = [A B]T
// C is now an 8 dimension column vector

See also: stack(const vpColVector &); stack(const vpColVector &, const vpColVector &, vpColVector &)

Definition at line 644 of file vpColVector.cpp.

References vpColVector::stack().

◆ stack() [2/4]

void vpColVector::stack	(	const vpColVector &	A,
		const vpColVector &	B,
		vpColVector &	C
	)

staticinherited

Stack column vectors.

Parameters

A	: Initial vector.
B	: Vector to stack at the end of A.
C	: Resulting stacked vector .

vpColVector A(3);
vpColVector B(5);
vpColVector C;
vpColVector::stack(A, B, C); // C = [A B]T
// C is now an 8 dimension column vector

See also: stack(const vpColVector &); stack(const vpColVector &, const vpColVector &)

Definition at line 651 of file vpColVector.cpp.

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

◆ stack() [3/4]

void vpColVector::stack ( const vpColVector & v )

inherited

Stack column vectors.

Parameters

v	: Vector to stack to the existing one.

vpColVector v1(3, 1);
// v1 is equal to [1 1 1]^T
vpColVector v2(2, 3);
// v2 is equal to [3 3]^T
v1.stack(v2);
// v1 is equal to [1 1 1 3 3]^T

See also: stack(const vpColVector &, const double &); stack(const vpColVector &, const vpColVector &); stack(const vpColVector &, const vpColVector &, vpColVector &)

Definition at line 642 of file vpColVector.cpp.

References vpColVector::stack().

◆ stack() [4/4]

void vpColVector::stack ( double d )

inherited

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

Parameters

d	: Element to stack to the existing vector.

vpColVector v(3, 1);
// v is equal to [1 1 1]^T
v.stack(-2);
// v is equal to [1 1 1 -2]^T

See also: stack(const vpColVector &, const vpColVector &); stack(const vpColVector &, const vpColVector &, vpColVector &)

Examples: servoPioneerPoint2DDepthWithoutVpServo.cpp, and testColVector.cpp.

Definition at line 636 of file vpColVector.cpp.

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

Referenced by vpFeatureVanishingPoint::error(), vpFeatureEllipse::error(), vpFeatureLine::error(), vpFeatureMomentAlpha::error(), vpFeaturePoint::error(), vpFeaturePoint3D::error(), vpFeaturePointPolar::error(), vpFeatureSegment::error(), vpFeatureThetaU::error(), vpFeatureTranslation::error(), vpGenericFeature::error(), vpBasicFeature::get_s(), and vpColVector::stack().

◆ stdev()

double vpColVector::stdev	(	const vpColVector &	v,
		bool	useBesselCorrection = `false`
	)

staticinherited

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

Examples: perfColVectorOperations.cpp, and testColVector.cpp.

Definition at line 706 of file vpColVector.cpp.

References vpArray2D< Type >::data, vpException::dimensionError, vpArray2D< Type >::rowNum, vpArray2D< Type >::size(), and vpColVector::sum().

◆ sum()

double vpColVector::sum ( ) const

inherited

Return the sum of all the elements $v_{i}$ of the column vector $\bf v$ that is of dimension .

Returns: The value
$\sum_{i=0}^{m-1} v_i$
.

Examples: catchLuminanceMapping.cpp, perfColVectorOperations.cpp, photometricMappingVisualServoing.cpp, tutorial-pf-curve-fitting-all.cpp, and tutorial-pf-curve-fitting-pf.cpp.

Definition at line 890 of file vpColVector.cpp.

References vpArray2D< double >::data, and vpArray2D< double >::rowNum.

Referenced by vpLuminancePCA::learn(), vpColVector::mean(), and vpColVector::stdev().

◆ sumSquare()

double vpColVector::sumSquare ( ) const

inherited

Return the sum of squares of all the elements $v_{i}$ of the column vector $\bf v$ that is of dimension .

Returns: The value
$\sum_{i=0}^{m-1} v_i^{2}$
.

Definition at line 903 of file vpColVector.cpp.

References vpArray2D< double >::data, and vpArray2D< double >::rowNum.

Referenced by vpMbTracker::computeVVSCheckLevenbergMarquardt(), vpPose::coplanar(), vpFeatureDepth::error(), vpFeatureThetaU::error(), vpFeatureTranslation::error(), vpMbTracker::extractCylinders(), vpColVector::frobeniusNorm(), vpFeatureThetaU::interaction(), vpMatrix::kernel(), vpColVector::normalize(), vpPose::poseFromRectangle(), vpPose::poseVirtualVS(), vpPose::poseVirtualVSrobust(), and vpServoData::save().

◆ t()

vpRowVector vpColVector::t ( ) const

inherited

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

Examples: catchEigenConversion.cpp, movePtu46.cpp, servoAfma6Cylinder2DCamVelocity.cpp, servoAfma6Cylinder2DCamVelocitySecondaryTask.cpp, servoAfma6Ellipse2DCamVelocity.cpp, servoBebop2.cpp, servoBiclopsPoint2DArtVelocity.cpp, servoPtu46Point2DArtVelocity.cpp, servoSimu3D_cMcd_CamVelocity.cpp, servoSimu3D_cMcd_CamVelocityWithoutVpServo.cpp, servoSimu3D_cdMc_CamVelocity.cpp, servoSimuFourPoints2DPolarCamVelocityDisplay.cpp, servoSimuSphere2DCamVelocityDisplaySecondaryTask.cpp, testColVector.cpp, testComedi.cpp, testDisplacement.cpp, testForceTorqueAti.cpp, testForceTorqueAtiNetFTSensor.cpp, testForceTorqueIitSensor.cpp, testFrankaCartForceTorque-2.cpp, testFrankaCartForceTorque.cpp, testFrankaCartVelocity-2.cpp, testFrankaCartVelocity-3.cpp, testFrankaCartVelocity.cpp, testFrankaGetPose.cpp, testFrankaJointPosition.cpp, testFrankaJointTorque.cpp, testFrankaJointVelocity-2.cpp, testFrankaJointVelocity-3.cpp, testFrankaJointVelocity.cpp, testFrankaJointVelocityLimits.cpp, testKalmanAcceleration.cpp, testKalmanVelocity.cpp, testMatrix.cpp, testMatrixInitialization.cpp, testPoint.cpp, testRobotViper650-frames.cpp, testRobotViper850-frames.cpp, testRobotViper850.cpp, testUniversalRobotsCartPosition.cpp, testUniversalRobotsCartVelocity.cpp, testUniversalRobotsGetData.cpp, testUniversalRobotsJointPosition.cpp, testUniversalRobotsJointVelocity.cpp, testVirtuose.cpp, testVirtuoseAfma6.cpp, testVirtuosePeriodicFunction.cpp, tutorial-homography-from-points.cpp, tutorial-hsv-segmentation-pcl-viewer.cpp, tutorial-hsv-segmentation-pcl.cpp, tutorial-hsv-segmentation.cpp, and tutorial-pioneer-robot.cpp.

Definition at line 527 of file vpColVector.cpp.

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

Referenced by vpMbtFaceDepthDense::computeInteractionMatrixAndResidu(), vpServo::computeProjectionOperators(), vpRobotBiclops::getPosition(), vpRobotBiclops::getVelocity(), vpTemplateTrackerZNCCInverseCompositional::initHessienDesired(), vpColVector::operator+(), vpForwardProjection::print(), vpServo::print(), vpMeEllipse::printParameters(), vpPose::printPoint(), vpServoData::save(), vpRobotKinova::setPosition(), vpRobotBiclops::setVelocity(), vpRobotPololuPtu::setVelocity(), vpLinProg::simplex(), vpTemplateTrackerSSDForwardAdditional::trackNoPyr(), vpTemplateTrackerMIForwardAdditional::trackNoPyr(), vpTemplateTrackerMIInverseCompositional::trackNoPyr(), and vpColVector::transpose().

◆ toStdVector()

std::vector< double > vpColVector::toStdVector ( ) const

inherited

Converts the vpColVector to a std::vector.

Returns: The corresponding std::vector<double>.

Examples: perfColVectorOperations.cpp, and testColVector.cpp.

Definition at line 455 of file vpColVector.cpp.

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

Referenced by vpRobotUniversalRobots::get_fMe(), vpRobotUniversalRobots::setPosition(), and vpRobotUniversalRobots::setVelocity().

◆ transpose() [1/2]

vpRowVector vpColVector::transpose ( ) const

inherited

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

See also: t()

Examples: tutorial-pf-curve-fitting-all.cpp, and tutorial-pf-curve-fitting-pf.cpp.

Definition at line 534 of file vpColVector.cpp.

References vpColVector::t().

◆ transpose() [2/2]

void vpColVector::transpose ( vpRowVector & v ) const

inherited

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

See also: t()

Definition at line 536 of file vpColVector.cpp.

References vpColVector::t().

Friends And Related Function Documentation

◆ insert()

void vpArray2D< double >::insert	(	const vpArray2D< Type > &	A,
		const vpArray2D< Type > &	B,
		vpArray2D< Type > &	C,
		unsigned int	r,
		unsigned int	c
	)

Parameters

A	: Main array.
B	: Array to insert.
C	: Result array.
r	: Index of the row where to insert array B.
c	: Index of the column where to insert array B.

Warning: Throw exception if the sizes of the arrays do not allow the insertion.

Definition at line 1096 of file vpArray2D.h.

◆ operator*()

vpColVector operator*	(	const double &	x,
		const vpColVector &	v
	)

Definition at line 1030 of file vpColVector.cpp.

◆ operator==() [1/2]

bool operator== ( const vpArray2D< double > & A ) const

◆ operator==() [2/2]

bool operator== ( const vpArray2D< float > & A ) const

◆ vpGEMM()

void vpGEMM	(	const vpArray2D< double > &	A,
		const vpArray2D< double > &	B,
		const double &	alpha,
		const vpArray2D< double > &	C,
		const double &	beta,
		vpArray2D< double > &	D,
		const unsigned int &	ops = `0`
	)

For example, to compute D = alpha*A^T*B^T+beta*C we need to call :

vpGEMM(A, B, alpha, C, beta, D, VP_GEMM_A_T + VP_GEMM_B_T);

vpArray2D< double >::vpGEMM

void vpGEMM(const vpArray2D< double > &A, const vpArray2D< double > &B, const double &alpha, const vpArray2D< double > &C, const double &beta, vpArray2D< double > &D, const unsigned int &ops=0)

Definition: vpGEMM.h:414

If C is not used, vpGEMM must be called using an empty array null. Thus to compute D = alpha*A^T*B, we have to call:

vpGEMM(A, B, alpha, null, 0, D, VP_GEMM_B_T);

Exceptions

vpException::incorrectMatrixSizeError if the sizes of the matrices do not allow the operations.

Parameters

A	: An array that could be a vpMatrix.
B	: An array that could be a vpMatrix.
alpha	: A scalar.
C	: An array that could be a vpMatrix.
beta	: A scalar.
D	: The resulting array that could be a vpMatrix.
ops	: A scalar describing operation applied on the matrices. Possible values are the one defined in vpGEMMmethod(): VP_GEMM_A_T, VP_GEMM_B_T, VP_GEMM_C_T.

Definition at line 414 of file vpGEMM.h.

◆ vpGEMMmethod

enum vpGEMMmethod

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 53 of file vpGEMM.h.

Member Data Documentation

◆ colNum

unsigned int vpArray2D< double >::colNum

protectedinherited

Number of columns in the array.

Definition at line 1103 of file vpArray2D.h.

◆ data

double * vpArray2D< double >::data

inherited

Address of the first element of the data array.

Examples: catchArray2D.cpp, catchQuaternion.cpp, catchRotation.cpp, perfMatrixMultiplication.cpp, testDisplacement.cpp, testMatrix.cpp, testTranslationVector.cpp, testUniversalRobotsGetData.cpp, tutorial-bridge-opencv-matrix.cpp, and tutorial-matlab.cpp.

Definition at line 148 of file vpArray2D.h.

◆ dsize

unsigned int vpArray2D< double >::dsize

protectedinherited

Current array size (rowNum * colNum)

Definition at line 1107 of file vpArray2D.h.

◆ m_parent

vpColVector* vpSubColVector::m_parent

protected

Parent vpColVector.

Definition at line 82 of file vpSubColVector.h.

Referenced by checkParentStatus(), and init().

◆ m_pRowNum

unsigned int vpSubColVector::m_pRowNum

protected

Number of row of parent vpColVector at initialization.

Definition at line 80 of file vpSubColVector.h.

Referenced by checkParentStatus(), init(), and operator=().

◆ rowNum

unsigned int vpArray2D< double >::rowNum

protectedinherited

Number of rows in the array.

Definition at line 1101 of file vpArray2D.h.

◆ rowPtrs

double ** vpArray2D< double >::rowPtrs

protectedinherited

Address of the first element of each rows.

Definition at line 1105 of file vpArray2D.h.

Public Member Functions

Static Public Member Functions

Public Attributes

Protected Attributes

Related Functions

Inherited I/O from vpArray2D with Static Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ vpSubColVector() [1/2]

◆ vpSubColVector() [2/2]

◆ ~vpSubColVector()

Member Function Documentation

◆ checkParentStatus()

◆ clear()

◆ conv2() [1/2]

◆ conv2() [2/2]

◆ cppPrint()

◆ cross()

◆ crossProd()

◆ csvPrint()

◆ deg2rad()

◆ dotProd()

◆ extract()

◆ frobeniusNorm()

◆ getCols()

◆ getMaxValue()

◆ getMinValue()

◆ getRows()

◆ hadamard() [1/2]

◆ hadamard() [2/2]

◆ infinityNorm()

◆ init() [1/2]

◆ init() [2/2]

◆ insert() [1/3]

◆ insert() [2/3]

◆ insert() [3/3]

◆ invSort()

◆ load()

◆ loadYAML()

◆ maplePrint()

◆ matlabPrint()

◆ mean()

◆ median()

◆ normalize() [1/2]

◆ normalize() [2/2]

◆ operator!=() [1/3]

◆ operator!=() [2/3]

◆ operator!=() [3/3]

◆ operator*() [1/4]

◆ operator*() [2/4]

◆ operator*() [3/4]

◆ operator*() [4/4]

◆ operator*=()

◆ operator+() [1/2]

◆ operator+() [2/2]

◆ operator+=()

◆ operator,()

◆ operator-() [1/2]

◆ operator-() [2/2]

◆ operator-=()

◆ operator/()

◆ operator/=()

◆ operator<<() [1/3]

◆ operator<<() [2/3]

◆ operator<<() [3/3]

◆ operator=() [1/7]

◆ operator=() [2/7]

◆ operator=() [3/7]

◆ operator=() [4/7]

◆ operator=() [5/7]

◆ operator=() [6/7]

◆ operator=() [7/7]

◆ operator==() [1/3]

◆ operator==() [2/3]

◆ operator==() [3/3]

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ print()

◆ rad2deg()

◆ reshape() [1/2]