CctwMatrix3x3< T > Class Template Reference

#include <cctwmatrix3x3.h>

Inheritance diagram for CctwMatrix3x3< T >:

Collaboration diagram for CctwMatrix3x3< T >:

Public Member Functions
	CctwMatrix3x3 ()
	CctwMatrix3x3 (CctwVector3D< T > c1, CctwVector3D< T > c2, CctwVector3D< T > c3)
	CctwMatrix3x3 (T a11, T a12, T a13, T a21, T a22, T a23, T a31, T a32, T a33)
T &	operator() (int row, int col)
const T &	operator() (int row, int col) const
CctwMatrix3x3	operator+ (const CctwMatrix3x3 &mat) const
CctwMatrix3x3	operator+= (const CctwMatrix3x3 &mat)
CctwMatrix3x3	operator- (const CctwMatrix3x3 &mat) const
CctwMatrix3x3	operator-= (const CctwMatrix3x3 &mat)
CctwMatrix3x3	operator* (const CctwMatrix3x3 &mat) const
CctwVector3D< T >	operator* (const CctwVector3D< T > &vec) const
bool	operator== (const CctwMatrix3x3 &mat) const
bool	operator!= (const CctwMatrix3x3 &mat) const
double	determinant () const
CctwMatrix3x3	inverted (bool *invertible=NULL) const
CctwMatrix3x3	transposed () const
void	setToIdentity ()
void	setSettingsValue (QSettings *settings, QString name)
template<>
void	customSaver (const QVariant &val, QSettings *settings, QString name)

Static Public Member Functions
static CctwMatrix3x3	zero ()
static CctwMatrix3x3	identity ()
static CctwMatrix3x3	rotationMatrix (double r1, double r2, double r3)
static CctwMatrix3x3	rotX (double r)
static CctwMatrix3x3	rotY (double r)
static CctwMatrix3x3	rotZ (double r)
static void	customSaver (const QVariant &val, QSettings *settings, QString name)

Private Attributes
T	m_Matrix [3][3]

Friends
template<typename T1 >
class	CctwMatrix3x3
template<typename T1 >
class	CctwVector3D

Detailed Description

template<typename T>
class CctwMatrix3x3< T >

Definition at line 10 of file cctwmatrix3x3.h.

Constructor & Destructor Documentation

template<typename T >

CctwMatrix3x3< T >::CctwMatrix3x3

(

)

Definition at line 5 of file cctwmatrix3x3.cpp.

{
  setToIdentity();
}

template<typename T>

CctwMatrix3x3< T >::CctwMatrix3x3	(	CctwVector3D< T >	c1,
		CctwVector3D< T >	c2,
		CctwVector3D< T >	c3
	)

Definition at line 11 of file cctwmatrix3x3.cpp.

{
  for (int row=0; row<3; ++row) {
    m_Matrix[row][0]=c1(row);
    m_Matrix[row][1]=c2(row);
    m_Matrix[row][2]=c3(row);
  }
}

template<typename T>

CctwMatrix3x3< T >::CctwMatrix3x3	(	T	a11,
		T	a12,
		T	a13,
		T	a21,
		T	a22,
		T	a23,
		T	a31,
		T	a32,
		T	a33
	)

Definition at line 21 of file cctwmatrix3x3.cpp.

{
  m_Matrix[0][0] = a11;
  m_Matrix[0][1] = a12;
  m_Matrix[0][2] = a13;
  m_Matrix[1][0] = a21;
  m_Matrix[1][1] = a22;
  m_Matrix[1][2] = a23;
  m_Matrix[2][0] = a31;
  m_Matrix[2][1] = a32;
  m_Matrix[2][2] = a33;
}

Member Function Documentation

template<typename T>

static void CctwMatrix3x3< T >::customSaver ( const QVariant &  val, QSettings *  settings, QString  name  )

static

template<>

void CctwMatrix3x3< int >::customSaver	(	const QVariant &	val,
		QSettings *	settings,
		QString	name
	)

Definition at line 329 of file cctwmatrix3x3.cpp.

References CctwMatrix3x3< T >::setSettingsValue().

{
  CctwIntMatrix3x3 mat = val.value<CctwIntMatrix3x3 >();

  mat.setSettingsValue(settings, name);
}

template<typename T >

double CctwMatrix3x3< T >::determinant

(

)

const

Definition at line 167 of file cctwmatrix3x3.cpp.

{
  double
      a = m_Matrix[0][0],
      b = m_Matrix[0][1],
      c = m_Matrix[0][2],
      d = m_Matrix[1][0],
      e = m_Matrix[1][1],
      f = m_Matrix[1][2],
      g = m_Matrix[2][0],
      h = m_Matrix[2][1],
      k = m_Matrix[2][2];

  return a*(e*k - f*h) + b*(f*g - d*k) + c*(d*h - e*g);
}

template<typename T >

CctwMatrix3x3< T > CctwMatrix3x3< T >::identity ( )

static

Definition at line 301 of file cctwmatrix3x3.cpp.

Referenced by CctwCrystalCoordinateTransform::setCurrentFrame().

{
  return CctwMatrix3x3<T>(1,0,0, 0,1,0, 0,0,1);
}

template<typename T >

CctwMatrix3x3< T > CctwMatrix3x3< T >::inverted

(

bool *

invertible = NULL

)

const

Definition at line 184 of file cctwmatrix3x3.cpp.

References CctwMatrix3x3< T >::m_Matrix.

Referenced by CctwCrystalCoordinateTransform::createBMatrix(), CctwCrystalCoordinateTransform::setCurrentFrame(), and CctwCrystalCoordinateTransform::updateFromParameters().

{
  CctwMatrix3x3<T> inv;
  double det = determinant();

  if (det != 0.0) {
    double
        a = m_Matrix[0][0],
        b = m_Matrix[1][0],
        c = m_Matrix[2][0],
        d = m_Matrix[0][1],
        e = m_Matrix[1][1],
        f = m_Matrix[2][1],
        g = m_Matrix[0][2],
        h = m_Matrix[1][2],
        k = m_Matrix[2][2];

    inv.m_Matrix[0][0] = (e*k - f*h)/det;
    inv.m_Matrix[1][0] =-(b*k - c*h)/det;
    inv.m_Matrix[2][0] = (b*f - c*e)/det;

    inv.m_Matrix[0][1] =-(d*k - f*g)/det;
    inv.m_Matrix[1][1] = (a*k - c*g)/det;
    inv.m_Matrix[2][1] =-(a*f - c*d)/det;

    inv.m_Matrix[0][2] = (d*h - e*g)/det;
    inv.m_Matrix[1][2] =-(a*h - b*g)/det;
    inv.m_Matrix[2][2] = (a*e - b*d)/det;

    if (invertible) {
      *invertible = true;
    }
  } else {
    if (invertible) {
      *invertible = false;
    }
  }

  return inv;
}

template<typename T >

bool CctwMatrix3x3< T >::operator!=

(

const CctwMatrix3x3< T > &

mat

)

const

Definition at line 139 of file cctwmatrix3x3.cpp.

References CctwMatrix3x3< T >::m_Matrix.

{
  for (int row = 0; row < 3; ++row) {
    for (int col = 0; col < 3; ++col) {
      if (m_Matrix[row][col] != mat.m_Matrix[row][col]) {
        return true;
      }
    }
  }

  return false;
}

template<typename T >

T & CctwMatrix3x3< T >::operator()	(	int	row,
		int	col
	)

Definition at line 35 of file cctwmatrix3x3.cpp.

{
  return m_Matrix[row][col];
}

template<typename T >

const T & CctwMatrix3x3< T >::operator()	(	int	row,
		int	col
	)		const

Definition at line 41 of file cctwmatrix3x3.cpp.

{
  return m_Matrix[row][col];
}

template<typename T >

CctwMatrix3x3< T > CctwMatrix3x3< T >::operator*

(

const CctwMatrix3x3< T > &

mat

)

const

Definition at line 95 of file cctwmatrix3x3.cpp.

References CctwMatrix3x3< T >::m_Matrix.

{
  CctwMatrix3x3<T> result;
  for (int row = 0; row < 3; ++row) {
      for (int col = 0; col < 3; ++col) {
          T sum(0.0f);
          for (int j = 0; j < 3; ++j) {
              sum += m_Matrix[row][j] * mat.m_Matrix[j][col];
          }
          result.m_Matrix[row][col] = sum;
      }
  }
  return result;
}

template<typename T>

CctwVector3D< T > CctwMatrix3x3< T >::operator*

(

const CctwVector3D< T > &

vec

)

const

Definition at line 111 of file cctwmatrix3x3.cpp.

{
  CctwVector3D<T> result;
  for (int row = 0; row < 3; ++row) {
    T sum(0.0f);
    for (int j = 0; j < 3; ++j) {
      sum += m_Matrix[row][j] * vec(j);
    }
    result(row) = sum;
  }
  return result;
}

template<typename T >

CctwMatrix3x3< T > CctwMatrix3x3< T >::operator+

(

const CctwMatrix3x3< T > &

mat

)

const

Definition at line 47 of file cctwmatrix3x3.cpp.

References CctwMatrix3x3< T >::m_Matrix.

{
  CctwMatrix3x3<T> result;
  for (int row = 0; row < 3; ++row) {
      for (int col = 0; col < 3; ++col) {
          result.m_Matrix[row][col] = m_Matrix[row][col] + mat.m_Matrix[row][col];
      }
  }
  return result;
}

template<typename T >

CctwMatrix3x3< T > CctwMatrix3x3< T >::operator+=

(

const CctwMatrix3x3< T > &

mat

)

Definition at line 59 of file cctwmatrix3x3.cpp.

References CctwMatrix3x3< T >::m_Matrix.

{
  for (int row = 0; row < 3; ++row) {
      for (int col = 0; col < 3; ++col) {
          m_Matrix[row][col] += mat.m_Matrix[row][col];
      }
  }
  return *this;
}

template<typename T >

CctwMatrix3x3< T > CctwMatrix3x3< T >::operator-

(

const CctwMatrix3x3< T > &

mat

)

const

Definition at line 70 of file cctwmatrix3x3.cpp.

References CctwMatrix3x3< T >::m_Matrix.

{
  CctwMatrix3x3<T> result;
  for (int row = 0; row < 3; ++row) {
      for (int col = 0; col < 3; ++col) {
          result.m_Matrix[row][col] = m_Matrix[row][col] - mat.m_Matrix[row][col];
      }
  }

  return result;
}

template<typename T >

CctwMatrix3x3< T > CctwMatrix3x3< T >::operator-=

(

const CctwMatrix3x3< T > &

mat

)

Definition at line 83 of file cctwmatrix3x3.cpp.

References CctwMatrix3x3< T >::m_Matrix.

{
  for (int row = 0; row < 3; ++row) {
      for (int col = 0; col < 3; ++col) {
          m_Matrix[row][col] -= mat.m_Matrix[row][col];
      }
  }

  return *this;
}

template<typename T >

bool CctwMatrix3x3< T >::operator==

(

const CctwMatrix3x3< T > &

mat

)

const

Definition at line 125 of file cctwmatrix3x3.cpp.

References CctwMatrix3x3< T >::m_Matrix.

{
  for (int row = 0; row < 3; ++row) {
    for (int col = 0; col < 3; ++col) {
      if (m_Matrix[row][col] != mat.m_Matrix[row][col]) {
        return false;
      }
    }
  }

  return true;
}

template<typename T >

CctwMatrix3x3< T > CctwMatrix3x3< T >::rotationMatrix ( double  r1, double  r2, double  r3  )

static

Definition at line 240 of file cctwmatrix3x3.cpp.

References CctwMatrix3x3< T >::rotX(), CctwMatrix3x3< T >::rotY(), and CctwMatrix3x3< T >::rotZ().

{
  CctwMatrix3x3<T> rx = CctwMatrix3x3<T>::rotX(r1);
  CctwMatrix3x3<T> ry = CctwMatrix3x3<T>::rotY(r2);
  CctwMatrix3x3<T> rz = CctwMatrix3x3<T>::rotZ(r3);

  return rx*ry*rz;
}

template<typename T >

CctwMatrix3x3< T > CctwMatrix3x3< T >::rotX ( double  r )

static

Definition at line 250 of file cctwmatrix3x3.cpp.

Referenced by CctwMatrix3x3< T >::rotationMatrix(), and CctwCrystalCoordinateTransform::setCurrentFrame().

{
  CctwMatrix3x3<T> res;
  T cosr = ::cos(r),
    sinr = ::sin(r);

  res(1,1) = cosr;
  res(1,2) = -sinr;
  res(2,1) = sinr;
  res(2,2) = cosr;

  return res;
}

template<typename T >

CctwMatrix3x3< T > CctwMatrix3x3< T >::rotY ( double  r )

static

Definition at line 265 of file cctwmatrix3x3.cpp.

Referenced by CctwMatrix3x3< T >::rotationMatrix(), and CctwCrystalCoordinateTransform::setCurrentFrame().

{
  CctwMatrix3x3<T> res;
  T cosr = ::cos(r),
    sinr = ::sin(r);

  res(0,0) = cosr;
  res(0,2) = sinr;
  res(2,0) = -sinr;
  res(2,2) = cosr;

  return res;
}

template<typename T >

CctwMatrix3x3< T > CctwMatrix3x3< T >::rotZ ( double  r )

static

Definition at line 280 of file cctwmatrix3x3.cpp.

Referenced by CctwMatrix3x3< T >::rotationMatrix(), and CctwCrystalCoordinateTransform::setCurrentFrame().

{
  CctwMatrix3x3<T> res;
  T cosr = ::cos(r),
    sinr = ::sin(r);

  res(0,0) = cosr;
  res(0,1) = -sinr;
  res(1,0) = sinr;
  res(1,1) = cosr;

  return res;
}

template<typename T >

void CctwMatrix3x3< T >::setSettingsValue	(	QSettings *	settings,
		QString	name
	)

Definition at line 307 of file cctwmatrix3x3.cpp.

Referenced by CctwMatrix3x3< double >::customSaver(), and CctwMatrix3x3< T >::customSaver().

{
  settings->beginGroup(name);

  for (int r=0; r<3; r++) {
    for (int c=0; c<3; c++) {
      settings->setValue(QString("r%1c%2").arg(r).arg(c), operator()(r,c));
    }
  }

  settings->endGroup();
}

template<typename T >

void CctwMatrix3x3< T >::setToIdentity

(

)

Definition at line 153 of file cctwmatrix3x3.cpp.

{
  for (int col = 0; col < 3; ++col) {
      for (int row = 0; row < 3; ++row) {
          if (row == col) {
              m_Matrix[row][col] = 1.0f;
          } else {
              m_Matrix[row][col] = 0.0f;
          }
      }
  }
}

template<typename T >

CctwMatrix3x3< T > CctwMatrix3x3< T >::transposed

(

)

const

Definition at line 226 of file cctwmatrix3x3.cpp.

Referenced by CctwCrystalCoordinateTransform::createBMatrix().

{
  CctwMatrix3x3<T> tr;

  for (int i=0; i<3; i++) {
    for (int j=0; j<3; j++) {
      tr(j,i) = operator() (i,j);
    }
  }

  return tr;
}

template<typename T >

CctwMatrix3x3< T > CctwMatrix3x3< T >::zero ( )

static

Definition at line 295 of file cctwmatrix3x3.cpp.

{
  return CctwMatrix3x3<T>(0,0,0,0,0,0,0,0,0);
}

Friends And Related Function Documentation

template<typename T>

template<typename T1 >

friend class CctwMatrix3x3

friend

Definition at line 39 of file cctwmatrix3x3.h.

template<typename T>

template<typename T1 >

friend class CctwVector3D

friend

Definition at line 42 of file cctwmatrix3x3.h.

Member Data Documentation

template<typename T>

T CctwMatrix3x3< T >::m_Matrix[3][3]

private

Definition at line 55 of file cctwmatrix3x3.h.

Referenced by CctwMatrix3x3< T >::inverted(), CctwMatrix3x3< T >::operator!=(), CctwMatrix3x3< T >::operator*(), CctwMatrix3x3< T >::operator+(), CctwMatrix3x3< T >::operator+=(), CctwMatrix3x3< T >::operator-(), CctwMatrix3x3< T >::operator-=(), and CctwMatrix3x3< T >::operator==().

---

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

• /home/jennings/development/cctw/cctw-code/cctwlib/cctwmatrix3x3.h
• /home/jennings/development/cctw/cctw-code/cctwlib/cctwmatrix3x3.cpp