Visual Servoing Platform
version 3.1.0
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#include <visp3/core/vpForceTwistMatrix.h>
Public Member Functions | |
vpForceTwistMatrix () | |
vpForceTwistMatrix (const vpForceTwistMatrix &F) | |
vpForceTwistMatrix (const vpHomogeneousMatrix &M, bool full=true) | |
vpForceTwistMatrix (const vpTranslationVector &t, const vpRotationMatrix &R) | |
vpForceTwistMatrix (const vpTranslationVector &t, const vpThetaUVector &thetau) | |
vpForceTwistMatrix (const double tx, const double ty, const double tz, const double tux, const double tuy, const double tuz) | |
vpForceTwistMatrix (const vpRotationMatrix &R) | |
vpForceTwistMatrix (const vpThetaUVector &thetau) | |
virtual | ~vpForceTwistMatrix () |
vpForceTwistMatrix | buildFrom (const vpTranslationVector &t, const vpRotationMatrix &R) |
vpForceTwistMatrix | buildFrom (const vpTranslationVector &t, const vpThetaUVector &thetau) |
vpForceTwistMatrix | buildFrom (const vpHomogeneousMatrix &M, bool full=true) |
vpForceTwistMatrix | buildFrom (const vpRotationMatrix &R) |
vpForceTwistMatrix | buildFrom (const vpThetaUVector &thetau) |
void | eye () |
vpForceTwistMatrix | operator* (const vpForceTwistMatrix &F) const |
vpMatrix | operator* (const vpMatrix &M) const |
vpColVector | operator* (const vpColVector &H) const |
vpForceTwistMatrix & | operator= (const vpForceTwistMatrix &H) |
int | print (std::ostream &s, unsigned int length, char const *intro=0) const |
void | resize (const unsigned int nrows, const unsigned int ncols, const bool flagNullify=true) |
Deprecated functions | |
vp_deprecated void | init () |
vp_deprecated void | setIdentity () |
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) |
double * | operator[] (unsigned int i) |
double * | operator[] (unsigned int i) const |
vpArray2D< double > | hadamard (const vpArray2D< double > &m) const |
Static Public Member Functions | |
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 |
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) |
This class derived from vpArray2D<double> implements the 6 by 6 matrix which transforms force/torque from one frame to another. This matrix is also called force/torque twist transformation matrix.
The full force/torque twist transformation matrix allows to compute the force/torque at point a expressed in frame a knowing its force/torque at point b expressed in frame b. This matrix is defined as:
where is a rotation matrix and is a translation vector.
When the point where the velocity is expressed doesn't change, the matrix becomes block diagonal. It allows than to compute the force/torque at point b expressed in frame a knowing its force/torque at point b expressed in frame b :
The code belows shows for example how to convert a force/torque skew from probe frame to a sensor frame.
Definition at line 115 of file vpForceTwistMatrix.h.
vpForceTwistMatrix::vpForceTwistMatrix | ( | ) |
Initialize a force/torque twist transformation matrix to identity.
Definition at line 89 of file vpForceTwistMatrix.cpp.
References eye().
vpForceTwistMatrix::vpForceTwistMatrix | ( | const vpForceTwistMatrix & | F | ) |
Initialize a force/torque twist transformation matrix from another force/torque twist matrix.
F | : Force/torque twist matrix used as initializer. |
Definition at line 98 of file vpForceTwistMatrix.cpp.
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explicit |
Initialize a force/torque twist transformation matrix from an homogeneous matrix with
M | : Homogeneous matrix used to initialize the twist transformation matrix. |
full | : Boolean used to indicate which matrix should be filled.
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Definition at line 129 of file vpForceTwistMatrix.cpp.
References buildFrom(), and vpHomogeneousMatrix::getRotationMatrix().
vpForceTwistMatrix::vpForceTwistMatrix | ( | const vpTranslationVector & | t, |
const vpRotationMatrix & | R | ||
) |
Initialize a force/torque twist transformation matrix from a translation vector t and a rotation matrix R.
t | : Translation vector. |
R | : Rotation matrix. |
Definition at line 200 of file vpForceTwistMatrix.cpp.
References buildFrom().
vpForceTwistMatrix::vpForceTwistMatrix | ( | const vpTranslationVector & | t, |
const vpThetaUVector & | thetau | ||
) |
Initialize a force/torque twist transformation matrix from a translation vector t and a rotation vector with parametrization.
t | : Translation vector. |
thetau | : rotation vector used to initialize . |
Definition at line 156 of file vpForceTwistMatrix.cpp.
References buildFrom().
vpForceTwistMatrix::vpForceTwistMatrix | ( | const double | tx, |
const double | ty, | ||
const double | tz, | ||
const double | tux, | ||
const double | tuy, | ||
const double | tuz | ||
) |
Initialize a force/torque twist transformation matrix from a translation vector and a rotation vector with parametrization.
tx,ty,tz | : Translation vector in meters. |
tux,tuy,tuz | : rotation vector expressed in radians used to initialize . |
Definition at line 245 of file vpForceTwistMatrix.cpp.
References buildFrom().
vpForceTwistMatrix::vpForceTwistMatrix | ( | const vpRotationMatrix & | R | ) |
Initialize a force/torque block diagonal twist transformation matrix from a rotation matrix R.
R | : Rotation matrix. |
Definition at line 223 of file vpForceTwistMatrix.cpp.
References buildFrom().
vpForceTwistMatrix::vpForceTwistMatrix | ( | const vpThetaUVector & | thetau | ) |
Initialize a force/torque block diagonal twist transformation matrix from a rotation vector with parametrization.
thetau | : rotation vector used to initialize . |
Definition at line 179 of file vpForceTwistMatrix.cpp.
References buildFrom().
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inlinevirtual |
Destructor.
Definition at line 138 of file vpForceTwistMatrix.h.
References operator*(), and vpArray2D< Type >::operator=().
vpForceTwistMatrix vpForceTwistMatrix::buildFrom | ( | const vpTranslationVector & | t, |
const vpRotationMatrix & | R | ||
) |
Build a force/torque twist transformation matrix from a translation vector t and a rotation matrix R.
t | : Translation vector. |
R | : Rotation matrix. |
Definition at line 402 of file vpForceTwistMatrix.cpp.
References vpTranslationVector::skew().
Referenced by buildFrom(), and vpForceTwistMatrix().
vpForceTwistMatrix vpForceTwistMatrix::buildFrom | ( | const vpTranslationVector & | tv, |
const vpThetaUVector & | thetau | ||
) |
Initialize a force/torque twist transformation matrix from a translation vector t and a rotation vector with parametrization.
tv | : Translation vector. |
thetau | : rotation vector used to initialise . |
Definition at line 465 of file vpForceTwistMatrix.cpp.
References buildFrom().
vpForceTwistMatrix vpForceTwistMatrix::buildFrom | ( | const vpHomogeneousMatrix & | M, |
bool | full = true |
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) |
Initialize a force/torque twist transformation matrix from an homogeneous matrix with
M | : Homogeneous matrix used to initialize the velocity twist transformation matrix. |
full | : Boolean used to indicate which matrix should be filled.
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Definition at line 523 of file vpForceTwistMatrix.cpp.
References buildFrom(), vpHomogeneousMatrix::getRotationMatrix(), and vpHomogeneousMatrix::getTranslationVector().
vpForceTwistMatrix vpForceTwistMatrix::buildFrom | ( | const vpRotationMatrix & | R | ) |
Build a block diagonal force/torque twist transformation matrix from a rotation matrix R.
R | : Rotation matrix. |
Definition at line 433 of file vpForceTwistMatrix.cpp.
vpForceTwistMatrix vpForceTwistMatrix::buildFrom | ( | const vpThetaUVector & | thetau | ) |
Initialize a force/torque block diagonal twist transformation matrix from a rotation vector with parametrization.
thetau | : rotation vector used to initialise . |
Definition at line 489 of file vpForceTwistMatrix.cpp.
References buildFrom().
void vpForceTwistMatrix::eye | ( | ) |
Initialize the force/torque 6 by 6 twist matrix to identity.
Definition at line 74 of file vpForceTwistMatrix.cpp.
Referenced by setIdentity(), and vpForceTwistMatrix().
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inlineinherited |
Return the number of columns of the 2D array.
Definition at line 146 of file vpArray2D.h.
References vpArray2D< Type >::colNum, vpArray2D< Type >::getMaxValue(), and vpArray2D< Type >::getMinValue().
Referenced by vpRowVector::cppPrint(), vpMatrix::cppPrint(), vpRowVector::csvPrint(), vpMatrix::csvPrint(), vpMatrix::detByLU(), vpMatrix::extract(), vpRotationMatrix::getCol(), vpHomogeneousMatrix::getCol(), vpMatrix::getCol(), vpMatrix::getRow(), vpMatrix::kernel(), vpRowVector::maplePrint(), vpMatrix::maplePrint(), vpRowVector::matlabPrint(), vpMatrix::matlabPrint(), vpRowVector::operator*(), vpRowVector::operator+(), vpRowVector::operator+=(), vpRowVector::operator-(), vpRowVector::operator-=(), print(), vpVelocityTwistMatrix::print(), vpRowVector::print(), vpMatrix::print(), vpMatrix::pseudoInverse(), and vpMatrix::row().
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inherited |
Return the array max value.
Definition at line 671 of file vpArray2D.h.
References vpArray2D< Type >::data, and vpArray2D< Type >::dsize.
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inherited |
Return the array min value.
Definition at line 655 of file vpArray2D.h.
References vpArray2D< Type >::data, and vpArray2D< Type >::dsize.
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inlineinherited |
Return the number of rows of the 2D array.
Definition at line 156 of file vpArray2D.h.
References vpArray2D< Type >::rowNum.
Referenced by vpMatrix::column(), vpColVector::cppPrint(), vpMatrix::cppPrint(), vpColVector::csvPrint(), vpMatrix::csvPrint(), vpMatrix::detByLU(), vpMatrix::extract(), vpRotationMatrix::getCol(), vpHomogeneousMatrix::getCol(), vpMatrix::getCol(), vpMatrix::getRow(), vpMatrix::inverseByCholesky(), vpMatrix::kernel(), vpColVector::maplePrint(), vpMatrix::maplePrint(), vpColVector::matlabPrint(), vpMatrix::matlabPrint(), vpColVector::operator+(), vpColVector::operator+=(), vpColVector::operator-(), vpColVector::operator-=(), print(), vpVelocityTwistMatrix::print(), vpPoseVector::print(), vpColVector::print(), vpMatrix::print(), and vpMatrix::pseudoInverse().
Compute the Hadamard product (element wise matrix multiplication).
m | : Second matrix; |
Definition at line 690 of file vpArray2D.h.
References vpArray2D< Type >::colNum, vpArray2D< Type >::data, vpException::dimensionError, vpArray2D< Type >::dsize, vpArray2D< Type >::getCols(), vpArray2D< Type >::getRows(), vpArray2D< Type >::resize(), and vpArray2D< Type >::rowNum.
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inline |
Definition at line 182 of file vpForceTwistMatrix.h.
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inlinestaticinherited |
Load a matrix from a file.
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. |
Definition at line 318 of file vpArray2D.h.
References vpException::badValue, and vpArray2D< Type >::resize().
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inlinestaticinherited |
Load an array from a YAML-formatted file.
filename | : absolute file name. |
A | : array to be loaded from the file. |
header | : header of the file is loaded in this parameter. |
Definition at line 426 of file vpArray2D.h.
References vpArray2D< Type >::resize().
vpForceTwistMatrix vpForceTwistMatrix::operator* | ( | const vpForceTwistMatrix & | F | ) | const |
Operator that allows to multiply a force/torque twist transformation matrix by an other force/torque skew transformation matrix.
Definition at line 272 of file vpForceTwistMatrix.cpp.
References vpArray2D< double >::rowPtrs, and vpArray2D< Type >::rowPtrs.
Operator that allows to multiply a force/torque skew transformation matrix by a matrix.
vpException::dimensionError | : If is not a 6 rows dimension matrix. |
Definition at line 294 of file vpForceTwistMatrix.cpp.
References vpException::dimensionError, vpArray2D< Type >::getCols(), vpArray2D< Type >::getRows(), and vpArray2D< double >::rowPtrs.
vpColVector vpForceTwistMatrix::operator* | ( | const vpColVector & | H | ) | const |
Operator that allows to multiply a force/torque skew transformation matrix by a column vector.
H | : Force/torque skew vector . |
For example, this operator can be used to convert a force/torque skew from sensor frame into the probe frame :
The example below shows how to handle that transformation.
vpException::dimensionError | If is not a 6 dimension vector. |
Definition at line 361 of file vpForceTwistMatrix.cpp.
References vpException::dimensionError, vpArray2D< Type >::getRows(), and vpArray2D< double >::rowPtrs.
vpForceTwistMatrix & vpForceTwistMatrix::operator= | ( | const vpForceTwistMatrix & | M | ) |
Copy operator.
M | : Force/torque twist matrix to copy. |
Definition at line 60 of file vpForceTwistMatrix.cpp.
References vpArray2D< double >::rowPtrs, and vpArray2D< Type >::rowPtrs.
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inlineinherited |
Set element using A[i][j] = x.
Definition at line 264 of file vpArray2D.h.
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inlineinherited |
Get element using x = A[i][j].
Definition at line 266 of file vpArray2D.h.
int vpForceTwistMatrix::print | ( | std::ostream & | s, |
unsigned int | length, | ||
char const * | intro = 0 |
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) | const |
Pretty print a force/torque twist matrix. The data are tabulated. The common widths before and after the decimal point are set with respect to the parameter maxlen.
s | Stream used for the printing. |
length | The suggested width of each matrix 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. |
intro | The introduction which is printed before the matrix. Can be set to zero (or omitted), in which case the introduction is not printed. |
Definition at line 552 of file vpForceTwistMatrix.cpp.
References vpArray2D< double >::getCols(), vpArray2D< double >::getRows(), and vpMath::maximum().
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inline |
This function is not applicable to a velocity twist matrix that is always a 6-by-6 matrix.
vpException::fatalError | When this function is called. |
Definition at line 165 of file vpForceTwistMatrix.h.
References vpException::fatalError.
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inlineinherited |
Set the size of the array and initialize all the values to zero.
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. |
Definition at line 171 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=(), and vpMatrix::stack().
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inlinestaticinherited |
Save a matrix to a file.
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. |
Warning : If you save the matrix as in a text file the precision is less than if you save it in a binary file.
Definition at line 508 of file vpArray2D.h.
References vpArray2D< Type >::getCols(), and vpArray2D< Type >::getRows().
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inlinestaticinherited |
Save an array in a YAML-formatted file.
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. |
Here is an example of outputs.
Content of matrix.yml:
Content of matrixIndent.yml:
Definition at line 597 of file vpArray2D.h.
References vpArray2D< Type >::getCols(), and vpArray2D< Type >::getRows().
void vpForceTwistMatrix::setIdentity | ( | ) |
Set the twist transformation matrix to identity.
Definition at line 647 of file vpForceTwistMatrix.cpp.
References eye().
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inlineinherited |
Return the number of elements of the 2D array.
Definition at line 158 of file vpArray2D.h.
References vpArray2D< Type >::rowNum.
Referenced by vpRowVector::insert(), vpColVector::insert(), vpColVector::operator*(), and vpMatrix::stack().
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related |
This function performs generalized matrix multiplication: D = alpha*op(A)*op(B) + beta*op(C), where op(X) is X or X^T. Operation on A, B and C matrices is described by enumeration vpGEMMmethod().
For example, to compute D = alpha*A^T*B^T+beta*C we need to call :
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:
vpException::incorrectMatrixSizeError | if the sizes of the matrices do not allow the operations. |
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 393 of file vpGEMM.h.
References vpException::functionNotImplementedError.
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related |
Enumeration of the operations applied on matrices in vpGEMM() function.
Operations are :
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protectedinherited |
Number of columns in the array.
Definition at line 76 of file vpArray2D.h.
Referenced by vpMatrix::AAt(), vpMatrix::AtA(), vpColVector::clear(), vpMatrix::detByLU(), vpMatrix::diag(), vpMatrix::eigenValues(), vpMatrix::expm(), vpMatrix::eye(), vpMatrix::getRow(), vpColVector::hadamard(), vpMatrix::hadamard(), vpMatrix::infinityNorm(), vpSubColVector::init(), vpSubRowVector::init(), vpSubMatrix::init(), vpRowVector::insert(), vpMatrix::insert(), vpMatrix::inverseByCholesky(), vpRotationMatrix::operator*(), vpRowVector::operator*(), vpMatrix::operator*(), vpRotationMatrix::operator*=(), vpRowVector::operator*=(), vpMatrix::operator*=(), vpRowVector::operator+(), vpRowVector::operator+=(), vpMatrix::operator+=(), vpRowVector::operator-(), vpRowVector::operator-=(), vpMatrix::operator-=(), vpRowVector::operator/(), vpMatrix::operator/(), vpRowVector::operator/=(), vpMatrix::operator/=(), vpMatrix::operator<<(), vpColVector::operator<<(), vpSubRowVector::operator=(), vpSubMatrix::operator=(), vpRowVector::operator=(), vpColVector::operator=(), vpMatrix::operator=(), vpRowVector::reshape(), vpMatrix::setIdentity(), vpMatrix::solveBySVD(), vpMatrix::stack(), vpRowVector::stack(), vpMatrix::stackColumns(), vpMatrix::stackRows(), vpRowVector::sum(), vpMatrix::sum(), vpRowVector::sumSquare(), vpMatrix::sumSquare(), vpRowVector::t(), vpMatrix::t(), vpMatrix::transpose(), vpColVector::vpColVector(), and vpMatrix::vpMatrix().
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inherited |
Address of the first element of the data array.
Definition at line 84 of file vpArray2D.h.
Referenced by vpMatrix::AtA(), vpHomogeneousMatrix::buildFrom(), vpThetaUVector::buildFrom(), vpRzyzVector::buildFrom(), vpRxyzVector::buildFrom(), vpRzyxVector::buildFrom(), vpSubColVector::checkParentStatus(), vpSubRowVector::checkParentStatus(), vpSubMatrix::checkParentStatus(), vpColVector::clear(), vpHomogeneousMatrix::convert(), vpMatrix::detByLU(), vpTranslationVector::euclideanNorm(), vpRowVector::euclideanNorm(), vpMatrix::euclideanNorm(), vpMatrix::expm(), vpThetaUVector::extract(), vpMatrix::getRow(), vpThetaUVector::getTheta(), vpThetaUVector::getU(), vpColVector::hadamard(), vpMatrix::hadamard(), vpSubColVector::init(), vpSubRowVector::init(), vpSubMatrix::init(), vpColVector::insert(), vpMatrix::insert(), vpMatrix::inverseByCholesky(), vpTranslationVector::operator*(), vpRowVector::operator*(), vpColVector::operator*(), vpHomography::operator*(), vpMatrix::operator*(), vpTranslationVector::operator-(), vpRowVector::operator-(), vpColVector::operator-(), vpTranslationVector::operator/(), vpRowVector::operator/(), vpColVector::operator/(), vpHomography::operator/(), vpHomography::operator/=(), vpSubColVector::operator=(), vpSubRowVector::operator=(), vpQuaternionVector::operator=(), vpTranslationVector::operator=(), vpRowVector::operator=(), vpRzyzVector::operator=(), vpRxyzVector::operator=(), vpRzyxVector::operator=(), vpColVector::operator=(), vpThetaUVector::operator=(), vpMatrix::operator=(), vpColVector::operator[](), vpRowVector::reshape(), vpColVector::reshape(), vpQuaternionVector::set(), vpMatrix::stack(), vpMatrix::stackRows(), vpColVector::sum(), vpColVector::sumSquare(), vpRotationVector::t(), vpTranslationVector::t(), vpPoseVector::t(), vpRowVector::t(), vpColVector::t(), vpColVector::vpColVector(), vpMatrix::vpMatrix(), vpQuaternionVector::vpQuaternionVector(), vpRxyzVector::vpRxyzVector(), vpRzyxVector::vpRzyxVector(), vpRzyzVector::vpRzyzVector(), vpThetaUVector::vpThetaUVector(), vpQuaternionVector::w(), vpQuaternionVector::x(), vpQuaternionVector::y(), vpQuaternionVector::z(), vpSubColVector::~vpSubColVector(), vpSubMatrix::~vpSubMatrix(), and vpSubRowVector::~vpSubRowVector().
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protectedinherited |
Current array size (rowNum * colNum)
Definition at line 80 of file vpArray2D.h.
Referenced by vpColVector::clear(), vpTranslationVector::euclideanNorm(), vpRowVector::euclideanNorm(), vpMatrix::euclideanNorm(), vpColVector::hadamard(), vpMatrix::hadamard(), vpSubColVector::init(), vpSubRowVector::init(), vpSubMatrix::init(), vpTranslationVector::operator*(), vpRotationVector::operator*(), vpTranslationVector::operator-(), vpTranslationVector::operator/(), vpRzyzVector::operator=(), vpRxyzVector::operator=(), vpRzyxVector::operator=(), vpThetaUVector::operator=(), vpColVector::operator=(), vpMatrix::operator=(), vpRowVector::reshape(), vpColVector::reshape(), vpMatrix::stackRows(), vpRotationVector::t(), vpColVector::vpColVector(), and vpMatrix::vpMatrix().
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protectedinherited |
Number of rows in the array.
Definition at line 74 of file vpArray2D.h.
Referenced by vpMatrix::AAt(), vpMatrix::AtA(), vpColVector::clear(), vpMatrix::detByLU(), 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::inverseByCholesky(), vpRotationMatrix::operator*(), vpTranslationVector::operator*(), vpHomogeneousMatrix::operator*(), vpColVector::operator*(), vpMatrix::operator*(), vpRotationMatrix::operator*=(), vpTranslationVector::operator*=(), vpColVector::operator*=(), vpMatrix::operator*=(), vpColVector::operator+(), vpColVector::operator+=(), vpMatrix::operator+=(), vpColVector::operator-(), vpColVector::operator-=(), vpMatrix::operator-=(), vpColVector::operator/(), vpMatrix::operator/(), vpTranslationVector::operator/=(), vpColVector::operator/=(), vpMatrix::operator/=(), vpMatrix::operator<<(), vpColVector::operator<<(), vpSubColVector::operator=(), vpSubRowVector::operator=(), vpSubMatrix::operator=(), vpTranslationVector::operator=(), vpRowVector::operator=(), vpColVector::operator=(), vpMatrix::operator=(), vpColVector::reshape(), vpMatrix::setIdentity(), vpMatrix::stack(), vpColVector::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(), and vpMatrix::vpMatrix().
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protectedinherited |
Address of the first element of each rows.
Definition at line 78 of file vpArray2D.h.
Referenced by vpMatrix::AAt(), vpColVector::clear(), vpMatrix::infinityNorm(), vpSubColVector::init(), vpSubRowVector::init(), vpSubMatrix::init(), vpRowVector::init(), vpColVector::init(), vpMatrix::init(), vpRotationMatrix::operator*(), operator*(), vpVelocityTwistMatrix::operator*(), vpHomogeneousMatrix::operator*(), vpMatrix::operator*(), vpRotationMatrix::operator*=(), vpMatrix::operator*=(), vpMatrix::operator+=(), vpMatrix::operator-=(), vpMatrix::operator/(), vpMatrix::operator/=(), vpMatrix::operator<<(), vpColVector::operator<<(), vpSubMatrix::operator=(), vpRotationMatrix::operator=(), vpHomogeneousMatrix::operator=(), operator=(), vpVelocityTwistMatrix::operator=(), vpRowVector::operator=(), vpColVector::operator=(), vpMatrix::operator=(), vpMatrix::stackColumns(), vpRowVector::sum(), vpMatrix::sum(), vpRotationVector::sumSquare(), vpTranslationVector::sumSquare(), vpRowVector::sumSquare(), vpMatrix::sumSquare(), vpMatrix::transpose(), vpColVector::vpColVector(), and vpMatrix::vpMatrix().