JMATH::JMatrix5S Class Reference

5 x 5 symmetric matrix More...

#include <JMatrix5S.hh>

Inheritance diagram for JMATH::JMatrix5S:

Public Member Functions
	JMatrix5S ()
	Default constructor. More...
	JMatrix5S (const JMatrix5D &A)
	Contructor. More...
	JMatrix5S (const double __a00, const double __a01, const double __a02, const double __a03, const double __a04, const double __a11, const double __a12, const double __a13, const double __a14, const double __a22, const double __a23, const double __a24, const double __a33, const double __a34, const double __a44)
	Contructor. More...
void	invert ()
	Invert matrix. More...
JMatrix5D &	setIdentity ()
	Set to identity matrix. More...
void	set (const JMatrix5D &A)
	Set matrix. More...
JMatrix5D &	reset ()
	Set matrix to the null matrix. More...
JMatrix5D &	transpose ()
	Transpose. More...
JMatrix5D &	negate ()
	Negate matrix. More...
JMatrix5D &	add (const JMatrix5D &A)
	Matrix addition. More...
JMatrix5D &	sub (const JMatrix5D &A)
	Matrix subtraction. More...
JMatrix5D &	mul (const double factor)
	Scale matrix. More...
const JMatrix5D &	mul (const JMatrix5D &A, const JMatrix5D &B)
	Matrix multiplication. More...
JMatrix5D &	mul (const JSecond_t &object)
	Multiply with object. More...
JMatrix5D &	div (const double factor)
	Scale matrix. More...
bool	equals (const JMatrix5D &A, const double eps=std::numeric_limits< double >::min()) const
	Equality. More...
bool	isIdentity (const double eps=std::numeric_limits< double >::min()) const
	Test identity. More...
double	getDeterminant () const
	Get determinant of matrix. More...
void	transform (double &__x0, double &__x1, double &__x2, double &__x3, double &__x4) const
	Transform. More...
double	operator() (int row, int col) const
	Get matrix element. More...
double &	operator() (int row, int col)
	Get matrix element. More...

Static Public Member Functions
static const JMatrix5D &	getInstance ()
	Get reference to unique instance of this class object. More...
static const JMatrix5D &	getIdentity ()
	Get reference to unique instance of this class object. More...

Public Attributes
double	a00
double	a01
double	a02
double	a03
double	a04
double	a10
double	a11
double	a12
double	a13
double	a14
double	a20
double	a21
double	a22
double	a23
double	a24
double	a30
double	a31
double	a32
double	a33
double	a34
double	a40
double	a41
double	a42
double	a43
double	a44

Static Public Attributes
static const int	NUMBER_OF_DIMENSIONS = 5

Detailed Description

5 x 5 symmetric matrix

Definition at line 26 of file JMatrix5S.hh.

Constructor & Destructor Documentation

JMatrix5S() [1/3]

JMATH::JMatrix5S::JMatrix5S ( )

inline

Default constructor.

Definition at line 33 of file JMatrix5S.hh.

                :
      JMatrix5D()
    {}

JMatrix5S() [2/3]

JMATH::JMatrix5S::JMatrix5S ( const JMatrix5D &  A )

inline

Contructor.

Parameters

A

matrix

Definition at line 43 of file JMatrix5S.hh.

                                  :
      JMatrix5D(A)
    {}

JMatrix5S() [3/3]

JMATH::JMatrix5S::JMatrix5S ( const double  __a00, const double  __a01, const double  __a02, const double  __a03, const double  __a04, const double  __a11, const double  __a12, const double  __a13, const double  __a14, const double  __a22, const double  __a23, const double  __a24, const double  __a33, const double  __a34, const double  __a44  )

inline

Contructor.

Parameters

__a00	(0,0)
__a01	(0,1)
__a02	(0,2)
__a03	(0,3)
__a04	(0,4)
__a11	(1,1)
__a12	(1,2)
__a13	(1,3)
__a14	(1,4)
__a22	(2,2)
__a23	(2,3)
__a24	(2,4)
__a33	(3,3)
__a34	(3,4)
__a44	(4,4)

Definition at line 67 of file JMatrix5S.hh.

                                    :
      JMatrix5D(__a00, __a01, __a02, __a03, __a04,
                __a01, __a11, __a12, __a13, __a14,
                __a02, __a12, __a22, __a23, __a24,
                __a03, __a13, __a23, __a33, __a34,
                __a04, __a14, __a24, __a34, __a44)
    {}

Member Function Documentation

invert()

void JMATH::JMatrix5S::invert ( )

inline

Invert matrix.

Definition at line 83 of file JMatrix5S.hh.

    {
      using std::swap;
 
      if (isIdentity()) {
        return;
      }
 
      // LDU decomposition
 
      int    p0 = 0; // permute row 0
      int    p1 = 0; // permute row 1
      int    p2 = 0; // permute row 2
      int    p3 = 0; // permute row 3
 
      double val;
 
      val = a00;
 
      if (fabs(a10) > fabs(val)) {
        p0  = 1;
        val = a10;
      }
 
      if (fabs(a20) > fabs(val)) {
        p0  = 2;
        val = a20;
      }
 
      if (fabs(a30) > fabs(val)) {
        p0  = 3;
        val = a30;
      }
 
      if (fabs(a40) > fabs(val)) {
        p0  = 4;
        val = a40;
      }
 
      switch (p0) {
 
      case 1:
        swap(a00,a10);
        swap(a01,a11);
        swap(a02,a12);
        swap(a03,a13);
        swap(a04,a14);
        break;
 
      case 2:
        swap(a00,a20);
        swap(a01,a21);
        swap(a02,a22);
        swap(a03,a23);
        swap(a04,a24);
        break;
 
      case 3:
        swap(a00,a30);
        swap(a01,a31);
        swap(a02,a32);
        swap(a03,a33);
        swap(a04,a34);
        break;
 
      case 4:
        swap(a00,a40);
        swap(a01,a41);
        swap(a02,a42);
        swap(a03,a43);
        swap(a04,a44);
        break;
      }
 
      if (val == 0) {
        throw JDivisionByZero("LDU decomposition zero pivot");
      }
 
      a10 /= val;
      a11 -= a10 * a01;
      a12 -= a10 * a02;
      a13 -= a10 * a03;
      a14 -= a10 * a04;
 
      a20 /= val;
      a21 -= a20 * a01;
      a22 -= a20 * a02;
      a23 -= a20 * a03;
      a24 -= a20 * a04;
 
      a30 /= val;
      a31 -= a30 * a01;
      a32 -= a30 * a02;
      a33 -= a30 * a03;
      a34 -= a30 * a04;
 
      a40 /= val;
      a41 -= a40 * a01;
      a42 -= a40 * a02;
      a43 -= a40 * a03;
      a44 -= a40 * a04;
 
      val = a11;
 
      if (fabs(a21) > fabs(val)) {
        p1  = 2;
        val = a21;
      }
 
      if (fabs(a31) > fabs(val)) {
        p1  = 3;
        val = a31;
      }
 
      if (fabs(a41) > fabs(val)) {
        p1  = 4;
        val = a41;
      }
 
      switch (p1) {
 
      case 2:
        swap(a10,a20);
        swap(a11,a21);
        swap(a12,a22);
        swap(a13,a23);
        swap(a14,a24);
        break;
 
      case 3:
        swap(a10,a30);
        swap(a11,a31);
        swap(a12,a32);
        swap(a13,a33);
        swap(a14,a34);
        break;
 
      case 4:
        swap(a10,a40);
        swap(a11,a41);
        swap(a12,a42);
        swap(a13,a43);
        swap(a14,a44);
        break;
      }
 
      if (val == 0) {
        throw JDivisionByZero("LDU decomposition zero pivot");
      }
 
      a21 /= val;
      a22 -= a21 * a12;
      a23 -= a21 * a13;
      a24 -= a21 * a14;
 
      a31 /= val;
      a32 -= a31 * a12;
      a33 -= a31 * a13;
      a34 -= a31 * a14;
 
      a41 /= val;
      a42 -= a41 * a12;
      a43 -= a41 * a13;
      a44 -= a41 * a14;
 
      val = a22;
 
      if (fabs(a32) > fabs(val)) {
        p2  = 3;
        val = a32;
      }
 
      if (fabs(a42) > fabs(val)) {
        p2  = 4;
        val = a42;
      }
 
      switch (p2) {
 
      case 3:
        swap(a20,a30);
        swap(a21,a31);
        swap(a22,a32);
        swap(a23,a33);
        swap(a24,a34);
        break;
 
      case 4:
        swap(a20,a40);
        swap(a21,a41);
        swap(a22,a42);
        swap(a23,a43);
        swap(a24,a44);
        break;
      }
      
      if (val == 0) {
        throw JDivisionByZero("LDU decomposition zero pivot");
      }
 
      a32 /= val;
      a33 -= a32 * a23;
      a34 -= a32 * a24;
 
      a42 /= val;
      a43 -= a42 * a23;
      a44 -= a42 * a24;
 
      val = a33;
 
      if (fabs(a43) > fabs(val)) {
        p3  = 4;
        val = a43;
      }
 
      switch (p3) {
 
      case 4:
        swap(a30,a40);
        swap(a31,a41);
        swap(a32,a42);
        swap(a33,a43);
        swap(a34,a44);
        break;
      }
      
      if (val == 0) {
        throw JDivisionByZero("LDU decomposition zero pivot");
      }
 
      a43 /= val;
      a44 -= a43 * a34;
 
      // invert D
 
      if (a44 == 0) {
        throw JDivisionByZero("D matrix not invertable");
      }
 
      a00  = 1.0 / a00;
      a11  = 1.0 / a11;
      a22  = 1.0 / a22;
      a33  = 1.0 / a33;
      a44  = 1.0 / a44;
 
      // invert U
 
      a01 *= -a00;
      a01 *=  a11;
 
      a02 *= -a00;
      a02 -=  a01 * a12;
      a02 *=  a22;
 
      a03 *= -a00;
      a03 -=  a01 * a13;
      a03 -=  a02 * a23;
      a03 *=  a33;
 
      a04 *= -a00;
      a04 -=  a01 * a14;
      a04 -=  a02 * a24;
      a04 -=  a03 * a34;
      a04 *=  a44;
 
      a12 *= -a11;
      a12 *=  a22;
 
      a13 *= -a11;
      a13 -=  a12 * a23;
      a13 *=  a33;
 
      a14 *= -a11;
      a14 -=  a12 * a24;
      a14 -=  a13 * a34;
      a14 *=  a44;
 
      a23 *= -a22;
      a23 *=  a33;
 
      a24 *= -a22;
      a24 -=  a23 * a34;
      a24 *=  a44;
 
      a34 *= -a33;
      a34 *=  a44;
 
      // invert L
 
      a43  = -a43;
 
      a42  = -a42;
      a42 -=  a43 * a32;
 
      a41  = -a41;
      a41 -=  a42 * a21;
      a41 -=  a43 * a31;
 
      a40  = -a40;
      a40 -=  a41 * a10;
      a40 -=  a42 * a20;
      a40 -=  a43 * a30;
 
      a32  = -a32;
 
      a31  = -a31;
      a31 -=  a32 * a21;
 
      a30  = -a30;
      a30 -=  a31 * a10;
      a30 -=  a32 * a20;
 
      a21  = -a21;
      a20  = -a20;
      a20 -=  a21 * a10;
      a10  = -a10;
 
      // U^-1 x L^-1
 
      a00 += a01 * a10  +  a02 * a20  +  a03 * a30  +  a04 * a40;
      a01 += a02 * a21  +  a03 * a31  +  a04 * a41;
      a02 += a03 * a32  +  a04 * a42;
      a03 += a04 * a43;
 
      a10 *= a11;
      a10 += a12 * a20  +  a13 * a30  +  a14 * a40;
      a11 += a12 * a21  +  a13 * a31  +  a14 * a41;
      a12 += a13 * a32  +  a14 * a42;
      a13 += a14 * a43;
 
      a20 *= a22;
      a20 += a23 * a30  +  a24 * a40;
      a21 *= a22;
      a21 += a23 * a31  +  a24 * a41;
      a22 += a23 * a32  +  a24 * a42;
      a23 += a24 * a43;
 
      a30 *= a33;
      a30 += a34 * a40;
      a31 *= a33;
      a31 += a34 * a41;
      a32 *= a33;
      a32 += a34 * a42;
      a33 += a34 * a43;
 
      a40 *= a44;
      a41 *= a44;
      a42 *= a44;
      a43 *= a44;
 
      switch (p3) {
 
      case 4:
        swap(a03,a04);
        swap(a13,a14);
        swap(a23,a24);
        swap(a33,a34);
        swap(a43,a44);
        break;
      }
 
      switch (p2) {
 
      case 3:
        swap(a02,a03);
        swap(a12,a13);
        swap(a22,a23);
        swap(a32,a33);
        swap(a42,a43);
        break;
 
      case 4:
        swap(a02,a04);
        swap(a12,a14);
        swap(a22,a24);
        swap(a32,a34);
        swap(a42,a44);
        break; 
      }
      
      switch (p1) {
 
      case 2:
        swap(a01,a02);
        swap(a11,a12);
        swap(a21,a22);
        swap(a31,a32);
        swap(a41,a42);
        break;
 
      case 3:
        swap(a01,a03);
        swap(a11,a13);
        swap(a21,a23);
        swap(a31,a33);
        swap(a41,a43);
        break;
 
      case 4:
        swap(a01,a04);
        swap(a11,a14);
        swap(a21,a24);
        swap(a31,a34);
        swap(a41,a44);
        break;
      }
      
      switch (p0) {
        
      case 1:
        swap(a00,a01);
        swap(a10,a11);
        swap(a20,a21);
        swap(a30,a31);
        swap(a40,a41);
        break;
 
      case 2:
        swap(a00,a02);
        swap(a10,a12);
        swap(a20,a22);
        swap(a30,a32);
        swap(a40,a42);
        break;
 
      case 3:
        swap(a00,a03);
        swap(a10,a13);
        swap(a20,a23);
        swap(a30,a33);
        swap(a40,a43);
        break;
 
      case 4:
        swap(a00,a04);
        swap(a10,a14);
        swap(a20,a24);
        swap(a30,a34);
        swap(a40,a44);
        break;
      }
    }

getInstance()

static const JMatrix5D& JMATH::JMatrix5D::getInstance ( )

inlinestaticinherited

Get reference to unique instance of this class object.

Returns

zero matrix

Definition at line 101 of file JMatrix5D.hh.

    {
      static JMatrix5D matrix;
 
      return matrix;
    }

setIdentity()

JMatrix5D& JMATH::JMatrix5D::setIdentity ( )

inlineinherited

Set to identity matrix.

Returns

this matrix

Definition at line 114 of file JMatrix5D.hh.

    {
      a00 = 1.0;  a01 = 0.0;  a02 = 0.0;  a03 = 0.0;  a04 = 0.0;  
      a10 = 0.0;  a11 = 1.0;  a12 = 0.0;  a13 = 0.0;  a14 = 0.0;  
      a20 = 0.0;  a21 = 0.0;  a22 = 1.0;  a23 = 0.0;  a24 = 0.0;  
      a30 = 0.0;  a31 = 0.0;  a32 = 0.0;  a33 = 1.0;  a34 = 0.0;  
      a40 = 0.0;  a41 = 0.0;  a42 = 0.0;  a43 = 0.0;  a44 = 1.0;  
 
      return *this;
    }

getIdentity()

static const JMatrix5D& JMATH::JMatrix5D::getIdentity ( )

inlinestaticinherited

Get reference to unique instance of this class object.

Returns

identity matrix

Definition at line 131 of file JMatrix5D.hh.

    {
      static JMatrix5D matrix(JMatrix5D().setIdentity());
 
      return matrix;
    }

set()

void JMATH::JMatrix5D::set ( const JMatrix5D &  A )

inlineinherited

Set matrix.

Parameters

A

matrix

Definition at line 144 of file JMatrix5D.hh.

    {
      static_cast<JMatrix5D&>(*this) = A;
    }

reset()

JMatrix5D& JMATH::JMatrix5D::reset ( )

inlineinherited

Set matrix to the null matrix.

Returns

this matrix

Definition at line 155 of file JMatrix5D.hh.

    {
      *this = JMatrix5D();
 
      return *this;
    }

transpose()

JMatrix5D& JMATH::JMatrix5D::transpose ( )

inlineinherited

Transpose.

Returns

this matrix

Definition at line 168 of file JMatrix5D.hh.

    {
      using std::swap;
 
      swap(a10, a01);
      swap(a20, a02);
      swap(a21, a12);
      swap(a30, a03);
      swap(a31, a13);
      swap(a32, a23);
      swap(a40, a04);
      swap(a41, a14);
      swap(a42, a24);
      swap(a43, a34);
 
      return *this;
    }

negate()

JMatrix5D& JMATH::JMatrix5D::negate ( )

inlineinherited

Negate matrix.

Returns

-this matrix

Definition at line 192 of file JMatrix5D.hh.

    {
      a00 = -a00;  a01 = -a01;  a02 = -a02;  a03 = -a03;  a04 = -a04;
      a10 = -a10;  a11 = -a11;  a12 = -a12;  a13 = -a13;  a14 = -a14;
      a20 = -a20;  a21 = -a21;  a22 = -a22;  a13 = -a23;  a14 = -a24;
      a30 = -a30;  a31 = -a31;  a32 = -a32;  a33 = -a33;  a34 = -a34;
      a40 = -a40;  a41 = -a41;  a42 = -a42;  a43 = -a43;  a44 = -a44;
 
      return *this;
    }

add()

JMatrix5D& JMATH::JMatrix5D::add ( const JMatrix5D &  A )

inlineinherited

Matrix addition.

Parameters

A

matrix

Returns

this matrix + A

Definition at line 210 of file JMatrix5D.hh.

    {
      a00 += A.a00;  a01 += A.a01;  a02 += A.a02;  a03 += A.a03;  a04 += A.a04;
      a10 += A.a10;  a11 += A.a11;  a12 += A.a12;  a13 += A.a13;  a14 += A.a14;
      a20 += A.a20;  a21 += A.a21;  a22 += A.a22;  a23 += A.a23;  a24 += A.a24;
      a30 += A.a30;  a31 += A.a31;  a32 += A.a32;  a33 += A.a33;  a34 += A.a34;
      a40 += A.a40;  a41 += A.a41;  a42 += A.a42;  a43 += A.a43;  a44 += A.a44;
  
      return *this;
    }

sub()

JMatrix5D& JMATH::JMatrix5D::sub ( const JMatrix5D &  A )

inlineinherited

Matrix subtraction.

Parameters

A

matrix

Returns

this matrix - A

Definition at line 228 of file JMatrix5D.hh.

    {
      a00 -= A.a00;  a01 -= A.a01;  a02 -= A.a02;  a03 -= A.a03;  a04 -= A.a04;
      a10 -= A.a10;  a11 -= A.a11;  a12 -= A.a12;  a13 -= A.a13;  a14 -= A.a14;
      a20 -= A.a20;  a21 -= A.a21;  a22 -= A.a22;  a23 -= A.a23;  a24 -= A.a24;
      a30 -= A.a30;  a31 -= A.a31;  a32 -= A.a32;  a33 -= A.a33;  a34 -= A.a34;
      a40 -= A.a40;  a41 -= A.a41;  a42 -= A.a42;  a43 -= A.a43;  a44 -= A.a44;
  
      return *this;
    }

mul() [1/3]

JMatrix5D& JMATH::JMatrix5D::mul ( const double  factor )

inlineinherited

Scale matrix.

Parameters

factor

factor

Returns

this matrix * factor

Definition at line 246 of file JMatrix5D.hh.

    {
      a00 *= factor; a01 *= factor; a02 *= factor; a03 *= factor; a04 *= factor;
      a10 *= factor; a11 *= factor; a12 *= factor; a13 *= factor; a14 *= factor;
      a20 *= factor; a21 *= factor; a22 *= factor; a23 *= factor; a24 *= factor;
      a30 *= factor; a31 *= factor; a32 *= factor; a33 *= factor; a34 *= factor;
      a40 *= factor; a41 *= factor; a42 *= factor; a43 *= factor; a44 *= factor;
 
      return *this;
    }

mul() [2/3]

const JMatrix5D& JMATH::JMatrix5D::mul ( const JMatrix5D &  A, const JMatrix5D &  B  )

inlineinherited

Matrix multiplication.

Parameters

A	matrix
B	matrix

Returns

this matrix

Definition at line 283 of file JMatrix5D.hh.

    {
      a00 = A.a00 * B.a00  +  A.a01 * B.a10  +  A.a02 * B.a20  +  A.a03 * B.a30  +  A.a04 * B.a40;
      a01 = A.a00 * B.a01  +  A.a01 * B.a11  +  A.a02 * B.a21  +  A.a03 * B.a31  +  A.a04 * B.a41;
      a02 = A.a00 * B.a02  +  A.a01 * B.a12  +  A.a02 * B.a22  +  A.a03 * B.a32  +  A.a04 * B.a42;
      a03 = A.a00 * B.a03  +  A.a01 * B.a13  +  A.a02 * B.a23  +  A.a03 * B.a33  +  A.a04 * B.a43;
      a04 = A.a00 * B.a04  +  A.a01 * B.a14  +  A.a02 * B.a24  +  A.a03 * B.a34  +  A.a04 * B.a44;
        
      a10 = A.a10 * B.a00  +  A.a11 * B.a10  +  A.a12 * B.a20  +  A.a13 * B.a30  +  A.a14 * B.a40;
      a11 = A.a10 * B.a01  +  A.a11 * B.a11  +  A.a12 * B.a21  +  A.a13 * B.a31  +  A.a14 * B.a41;
      a12 = A.a10 * B.a02  +  A.a11 * B.a12  +  A.a12 * B.a22  +  A.a13 * B.a32  +  A.a14 * B.a42;
      a13 = A.a10 * B.a03  +  A.a11 * B.a13  +  A.a12 * B.a23  +  A.a13 * B.a33  +  A.a14 * B.a43;
      a14 = A.a10 * B.a04  +  A.a11 * B.a14  +  A.a12 * B.a24  +  A.a13 * B.a34  +  A.a14 * B.a44;
      
      a20 = A.a20 * B.a00  +  A.a21 * B.a10  +  A.a22 * B.a20  +  A.a23 * B.a30  +  A.a24 * B.a40;
      a21 = A.a20 * B.a01  +  A.a21 * B.a11  +  A.a22 * B.a21  +  A.a23 * B.a31  +  A.a24 * B.a41;
      a22 = A.a20 * B.a02  +  A.a21 * B.a12  +  A.a22 * B.a22  +  A.a23 * B.a32  +  A.a24 * B.a42;
      a23 = A.a20 * B.a03  +  A.a21 * B.a13  +  A.a22 * B.a23  +  A.a23 * B.a33  +  A.a24 * B.a43;
      a24 = A.a20 * B.a04  +  A.a21 * B.a14  +  A.a22 * B.a24  +  A.a23 * B.a34  +  A.a24 * B.a44;
        
      a30 = A.a30 * B.a00  +  A.a31 * B.a10  +  A.a32 * B.a20  +  A.a33 * B.a30  +  A.a34 * B.a40;
      a31 = A.a30 * B.a01  +  A.a31 * B.a11  +  A.a32 * B.a21  +  A.a33 * B.a31  +  A.a34 * B.a41;
      a32 = A.a30 * B.a02  +  A.a31 * B.a12  +  A.a32 * B.a22  +  A.a33 * B.a32  +  A.a34 * B.a42;
      a33 = A.a30 * B.a03  +  A.a31 * B.a13  +  A.a32 * B.a23  +  A.a33 * B.a33  +  A.a34 * B.a43;
      a34 = A.a30 * B.a04  +  A.a31 * B.a14  +  A.a32 * B.a24  +  A.a33 * B.a34  +  A.a34 * B.a44;
      
      a40 = A.a40 * B.a00  +  A.a41 * B.a10  +  A.a42 * B.a20  +  A.a43 * B.a30  +  A.a44 * B.a40;
      a41 = A.a40 * B.a01  +  A.a41 * B.a11  +  A.a42 * B.a21  +  A.a43 * B.a31  +  A.a44 * B.a41;
      a42 = A.a40 * B.a02  +  A.a41 * B.a12  +  A.a42 * B.a22  +  A.a43 * B.a32  +  A.a44 * B.a42;
      a43 = A.a40 * B.a03  +  A.a41 * B.a13  +  A.a42 * B.a23  +  A.a43 * B.a33  +  A.a44 * B.a43;
      a44 = A.a40 * B.a04  +  A.a41 * B.a14  +  A.a42 * B.a24  +  A.a43 * B.a34  +  A.a44 * B.a44;
      
      return *this;
    }

mul() [3/3]

JMatrix5D & JMATH::JMath< JMatrix5D , JSecond_t >::mul ( const JSecond_t &  object )

inlineinherited

Multiply with object.

Parameters

object

object

Returns

result object

Definition at line 273 of file JMath.hh.

    {
      return static_cast<JFirst_t&>(*this) = JCalculator<JFirst_t>::calculator.mul(static_cast<const JFirst_t&>(*this), object);
    }

div()

JMatrix5D& JMATH::JMatrix5D::div ( const double  factor )

inlineinherited

Scale matrix.

Parameters

factor

factor

Returns

this matrix / factor

Definition at line 264 of file JMatrix5D.hh.

    {
      a00 /= factor; a01 /= factor; a02 /= factor; a03 /= factor; a04 /= factor;
      a10 /= factor; a11 /= factor; a12 /= factor; a13 /= factor; a14 /= factor;
      a20 /= factor; a21 /= factor; a22 /= factor; a23 /= factor; a24 /= factor;
      a30 /= factor; a31 /= factor; a32 /= factor; a33 /= factor; a34 /= factor;
      a40 /= factor; a41 /= factor; a42 /= factor; a43 /= factor; a44 /= factor;
 
      return *this;
    }

equals()

bool JMATH::JMatrix5D::equals ( const JMatrix5D &  A, const double  eps = std::numeric_limits<double>::min()  ) const

inlineinherited

Equality.

Parameters

A	matrix
eps	numerical precision

Returns

true if matrices identical; else false

Definition at line 327 of file JMatrix5D.hh.

    {
      return (fabs(a00 - A.a00) <= eps  &&
              fabs(a01 - A.a01) <= eps  &&
              fabs(a02 - A.a02) <= eps  &&
              fabs(a03 - A.a03) <= eps  &&
              fabs(a04 - A.a04) <= eps  &&
              fabs(a10 - A.a10) <= eps  &&
              fabs(a11 - A.a11) <= eps  &&
              fabs(a12 - A.a12) <= eps  &&
              fabs(a13 - A.a13) <= eps  &&
              fabs(a14 - A.a14) <= eps  &&
              fabs(a20 - A.a20) <= eps  &&
              fabs(a21 - A.a21) <= eps  &&
              fabs(a22 - A.a22) <= eps  &&
              fabs(a23 - A.a23) <= eps  &&
              fabs(a24 - A.a24) <= eps  &&
              fabs(a30 - A.a30) <= eps  &&
              fabs(a31 - A.a31) <= eps  &&
              fabs(a32 - A.a32) <= eps  &&
              fabs(a33 - A.a33) <= eps  &&
              fabs(a34 - A.a34) <= eps  &&
              fabs(a40 - A.a40) <= eps  &&
              fabs(a41 - A.a41) <= eps  &&
              fabs(a42 - A.a42) <= eps  &&
              fabs(a43 - A.a43) <= eps  &&
              fabs(a44 - A.a44) <= eps);
    }

isIdentity()

bool JMATH::JMatrix5D::isIdentity ( const double  eps = std::numeric_limits<double>::min() ) const

inlineinherited

Test identity.

Parameters

eps	numerical precision

Returns

true if identity matrix; else false

Definition at line 364 of file JMatrix5D.hh.

    {
      return equals(getIdentity(), eps);
    }

getDeterminant()

double JMATH::JMatrix5D::getDeterminant ( ) const

inlineinherited

Get determinant of matrix.

Returns

determinant of matrix

Definition at line 375 of file JMatrix5D.hh.

    {
      double det = 0.0;
 
      det += a00 * JMatrix4D(a11, a12, a13, a14,
                             a21, a22, a23, a24,
                             a31, a32, a33, a34,
                             a41, a42, a43, a44).getDeterminant();
 
      det -= a01 * JMatrix4D(a10, a12, a13, a14,
                             a20, a22, a23, a24,
                             a30, a32, a33, a34,
                             a40, a42, a43, a44).getDeterminant();
 
      det += a02 * JMatrix4D(a10, a11, a13, a14,
                             a20, a21, a23, a24,
                             a30, a31, a33, a34,
                             a40, a41, a43, a44).getDeterminant();
 
      det -= a03 * JMatrix4D(a10, a11, a12, a14,
                             a20, a21, a22, a24,
                             a30, a31, a32, a34,
                             a40, a41, a42, a44).getDeterminant();
 
      det += a04 * JMatrix4D(a10, a11, a12, a13,
                             a20, a21, a22, a23,
                             a30, a31, a32, a33,
                             a40, a41, a42, a43).getDeterminant();
 
      return det;
    }

transform()

void JMATH::JMatrix5D::transform ( double &  __x0, double &  __x1, double &  __x2, double &  __x3, double &  __x4  ) const

inlineinherited

Transform.

Parameters

__x0	x0 value
__x1	x1 value
__x2	x2 value
__x3	x3 value
__x4	x4 value

Definition at line 417 of file JMatrix5D.hh.

    {
      const double x0 = a00 * __x0  +  a01 * __x1  +  a02 * __x2  +  a03 * __x3  +  a04 * __x4;
      const double x1 = a10 * __x0  +  a11 * __x1  +  a12 * __x2  +  a13 * __x3  +  a14 * __x4;
      const double x2 = a20 * __x0  +  a21 * __x1  +  a22 * __x2  +  a23 * __x3  +  a24 * __x4;
      const double x3 = a30 * __x0  +  a31 * __x1  +  a32 * __x2  +  a33 * __x3  +  a34 * __x4;
      const double x4 = a40 * __x0  +  a41 * __x1  +  a42 * __x2  +  a43 * __x3  +  a44 * __x4;
 
      __x0 = x0;
      __x1 = x1;
      __x2 = x2;
      __x3 = x3;
      __x4 = x4;
    }

operator()() [1/2]

double JMATH::JMatrix5D::operator() ( int  row, int  col  ) const

inlineinherited

Get matrix element.

Parameters

row	row number
col	column number

Returns

matrix element at (row,col)

Definition at line 501 of file JMatrix5D.hh.

    {
      return (&a00)[row * NUMBER_OF_DIMENSIONS + col];
    }

operator()() [2/2]

double& JMATH::JMatrix5D::operator() ( int  row, int  col  )

inlineinherited

Get matrix element.

Parameters

row	row number
col	column number

Returns

matrix element at (row,col)

Definition at line 514 of file JMatrix5D.hh.

    {
      return (&a00)[row * NUMBER_OF_DIMENSIONS + col];
    }

Member Data Documentation

NUMBER_OF_DIMENSIONS

const int JMATH::JMatrix5D::NUMBER_OF_DIMENSIONS = 5

staticinherited

Definition at line 520 of file JMatrix5D.hh.

a00

double JMATH::JMatrix5D::a00

inherited

Definition at line 522 of file JMatrix5D.hh.

a01

double JMATH::JMatrix5D::a01

inherited

Definition at line 522 of file JMatrix5D.hh.

a02

double JMATH::JMatrix5D::a02

inherited

Definition at line 522 of file JMatrix5D.hh.

a03

double JMATH::JMatrix5D::a03

inherited

Definition at line 522 of file JMatrix5D.hh.

a04

double JMATH::JMatrix5D::a04

inherited

Definition at line 522 of file JMatrix5D.hh.

a10

double JMATH::JMatrix5D::a10

inherited

Definition at line 523 of file JMatrix5D.hh.

a11

double JMATH::JMatrix5D::a11

inherited

Definition at line 523 of file JMatrix5D.hh.

a12

double JMATH::JMatrix5D::a12

inherited

Definition at line 523 of file JMatrix5D.hh.

a13

double JMATH::JMatrix5D::a13

inherited

Definition at line 523 of file JMatrix5D.hh.

a14

double JMATH::JMatrix5D::a14

inherited

Definition at line 523 of file JMatrix5D.hh.

a20

double JMATH::JMatrix5D::a20

inherited

Definition at line 524 of file JMatrix5D.hh.

a21

double JMATH::JMatrix5D::a21

inherited

Definition at line 524 of file JMatrix5D.hh.

a22

double JMATH::JMatrix5D::a22

inherited

Definition at line 524 of file JMatrix5D.hh.

a23

double JMATH::JMatrix5D::a23

inherited

Definition at line 524 of file JMatrix5D.hh.

a24

double JMATH::JMatrix5D::a24

inherited

Definition at line 524 of file JMatrix5D.hh.

a30

double JMATH::JMatrix5D::a30

inherited

Definition at line 525 of file JMatrix5D.hh.

a31

double JMATH::JMatrix5D::a31

inherited

Definition at line 525 of file JMatrix5D.hh.

a32

double JMATH::JMatrix5D::a32

inherited

Definition at line 525 of file JMatrix5D.hh.

a33

double JMATH::JMatrix5D::a33

inherited

Definition at line 525 of file JMatrix5D.hh.

a34

double JMATH::JMatrix5D::a34

inherited

Definition at line 525 of file JMatrix5D.hh.

a40

double JMATH::JMatrix5D::a40

inherited

Definition at line 526 of file JMatrix5D.hh.

a41

double JMATH::JMatrix5D::a41

inherited

Definition at line 526 of file JMatrix5D.hh.

a42

double JMATH::JMatrix5D::a42

inherited

Definition at line 526 of file JMatrix5D.hh.

a43

double JMATH::JMatrix5D::a43

inherited

Definition at line 526 of file JMatrix5D.hh.

a44

double JMATH::JMatrix5D::a44

inherited

Definition at line 526 of file JMatrix5D.hh.

---

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

• JMatrix5S.hh