DGtal::SimpleMatrixSpecializations< TMatrix, TM, TN > Struct Template Reference

#include <SimpleMatrixSpecializations.h>

Public Types
typedef TMatrix::Component	Component
typedef TMatrix	Matrix

Public Member Functions
	BOOST_STATIC_ASSERT (TM==TMatrix::M)
	BOOST_STATIC_ASSERT (TN==TMatrix::N)

Static Public Member Functions
static Component	minorDeterminant (const Matrix &M, const DGtal::Dimension i, const DGtal::Dimension j)
static Component	determinant (const Matrix &M)

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Detailed Description

template<typename TMatrix, DGtal::Dimension TM, DGtal::Dimension TN>
struct DGtal::SimpleMatrixSpecializations< TMatrix, TM, TN >

Aim: Implement internal matrix services for specialized matrix size.

Description of template class 'SimpleMatrixSpecializations'

Deterimant of a matrix and the determinant of a minor of the matrix is specialized for 2x2 and 3x3 matrices.

Template Parameters:

TMatrix	a type of matrix
TM	number of rows
TN	number of columns

Definition at line 68 of file SimpleMatrixSpecializations.h.

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Member Typedef Documentation

template<typename TMatrix, DGtal::Dimension TM, DGtal::Dimension TN>

typedef TMatrix::Component DGtal::SimpleMatrixSpecializations< TMatrix, TM, TN >::Component

Matrix componenets type.

Definition at line 73 of file SimpleMatrixSpecializations.h.

template<typename TMatrix, DGtal::Dimension TM, DGtal::Dimension TN>

typedef TMatrix DGtal::SimpleMatrixSpecializations< TMatrix, TM, TN >::Matrix

Matrix type.

Definition at line 75 of file SimpleMatrixSpecializations.h.

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Member Function Documentation

template<typename TMatrix, DGtal::Dimension TM, DGtal::Dimension TN>

DGtal::SimpleMatrixSpecializations< TMatrix, TM, TN >::BOOST_STATIC_ASSERT

(

TM

= =TMatrix::M

)

template<typename TMatrix, DGtal::Dimension TM, DGtal::Dimension TN>

DGtal::SimpleMatrixSpecializations< TMatrix, TM, TN >::BOOST_STATIC_ASSERT

(

TN

= =TMatrix::N

)

template<typename M >

DGtal::SimpleMatrixSpecializations< M, 3, 3 >::Component DGtal::SimpleMatrixSpecializations< M >::determinant ( const Matrix &  M )

inlinestatic

Returns the determinant of square matrix. Slow method for large matrices.

Precondition:

this must be NxN

Returns:

the determinant.

Definition at line 78 of file SimpleMatrixSpecializations.ih.

{
  BOOST_STATIC_ASSERT(TM == TN);
  
  Component d = DGtal::NumberTraits<Component>::ZERO;
  for(DGtal::Dimension i= 0; i< TM; ++i)
    d += aM(i,0) * aM.cofactor(i,0);
  return d;
}

template<typename M >

DGtal::SimpleMatrixSpecializations< M, 3, 3 >::Component DGtal::SimpleMatrixSpecializations< M >::minorDeterminant ( const Matrix &  M, const DGtal::Dimension  i, const DGtal::Dimension  j  )

inlinestatic

Return the minor determinant (i,j) of the current matrix

Parameters:

i	row index
j	column index

Returns:

the minor (i,j)

Definition at line 42 of file SimpleMatrixSpecializations.ih.

{
  BOOST_STATIC_ASSERT(TM == TN);
  ASSERT(ai<TM);
  ASSERT(aj<TN);
  DGtal::SimpleMatrix<Component,TM-1,TN-1> mat;
  DGtal::Dimension indexR=0;
  DGtal::Dimension indexC=0;
  for (DGtal::Dimension i=0; i<TM; i++)
    for (DGtal::Dimension j=0; j<TN; j++)
      {
        if (i!=ai && j!=aj)
          {
            ASSERT(indexR < TM -1);
            ASSERT(indexC < TN -1);
            mat.setComponent(indexR,indexC, aM(i,j));
            indexC++;
          }
        if (indexC==TM-1)
          {
            indexC=0;
            indexR++;
          }

        if (indexR==TM-1)
          return mat.determinant();
      }
 
  return mat.determinant();
}

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

• SimpleMatrixSpecializations.h
• SimpleMatrixSpecializations.ih