Dtk_pnt Class Reference

This is a mathematical point class. More...

Inheritance diagram for Dtk_pnt:

Public Member Functions
Dtk_pnt	Affinitised (const Dtk_pnt &p, const Dtk_dir &xdir, const Dtk_dir &ydir, double f[3]) const
void	Affinity (const Dtk_pnt &, const Dtk_dir &xdir, const Dtk_dir &ydir, double f[3])
void	Affinity (double f[3])
	Dtk_pnt ()
	default constructor More...
	Dtk_pnt (const double d[])
	constructor from a 3 double array More...
	Dtk_pnt (const Dtk_pnt &s)
	copy constructor More...
	Dtk_pnt (double a, double b, double c=0.0)
	constructor from 3 double More...
void	GetXYZ (Dtk_Double64 &outX, Dtk_Double64 &outY, Dtk_Double64 &outZ) const
	Retrieves to the 3 coordinates of the class. More...
int	IsEqual (const Dtk_pnt &inPointToCompare, const double inTolerance) const
	test if 2 Dtk_pnt are equal - with a tolerance - More...
Dtk_pnt	Multiplied (const CDtk_3dMat &matrix) const
Dtk_pnt	MultipliedByTransposed (const CDtk_3dMat &matrix) const
void	Multiply (const CDtk_3dMat &matrix)
void	MultiplyByTransposed (const CDtk_3dMat &matrix)
Dtk_pnt	operator* (const CDtk_3dMat &matrix) const
Dtk_pnt	operator* (double a) const
void	operator*= (const CDtk_3dMat &matrix)
Dtk_pnt &	operator*= (double)
Dtk_pnt &	operator+= (const Dtk_dir &)
	translate the Dtk_pnt with the given Dtk_dir More...
Dtk_pnt	operator- ()
Dtk_pnt &	operator-= (const Dtk_dir &)
	translate (in the opposite direction) the Dtk_pnt with the given Dtk_dir More...
Dtk_pnt &	operator/= (double)
Dtk_pnt &	operator= (const Dtk_pnt &s)
double &	operator[] (Dtk_Size_t i)
	access to a specified coordinate of the Dtk_pnt More...
const double &	operator[] (Dtk_Size_t i) const
	access to a specified coordinate of the Dtk_pnt. More...
Dtk_pnt	PostMultiplied (const CDtk_3dMat &matrix) const
void	PostMultiply (const CDtk_3dMat &matrix)
double	Project (const Dtk_dir &zdir, double d)
double	Project (const Dtk_dir &zdir, double d, const Dtk_dir &zPrj)
double	Project (const Dtk_pnt &org, const Dtk_dir &zdir)
double	Project (const Dtk_pnt &org, const Dtk_dir &zdir, const Dtk_dir &zPrj)
Dtk_pnt	Projected (const Dtk_dir &zdir, double d) const
Dtk_pnt	Projected (const Dtk_dir &zdir, double d, const Dtk_dir &zPrj) const
Dtk_pnt	Projected (const Dtk_pnt &org, const Dtk_dir &zdir) const
Dtk_pnt	Projected (const Dtk_pnt &org, const Dtk_dir &zdir, const Dtk_dir &zPrj) const
Dtk_pnt	ProjectedOnLine (const Dtk_pnt &org, const Dtk_dir &dir) const
void	ProjectOnLine (const Dtk_pnt &org, const Dtk_dir &dir)
void	Rotate (const Dtk_dir &dir, double angle, const Dtk_pnt &center)
void	Rotate (const Dtk_pnt &p0, const CDtk_3dMat &matrix)
Dtk_pnt	Rotated (const Dtk_dir &dir, double angle, const Dtk_pnt &center) const
Dtk_pnt	Rotated (const Dtk_pnt &p0, const CDtk_3dMat &matrix) const
void	Scale (const Dtk_pnt &p0, double s)
Dtk_pnt	Scaled (const Dtk_pnt &p0, double s) const
void	SetXYZ (const Dtk_Double64 &inX, const Dtk_Double64 &inY, const Dtk_Double64 &inZ)
	Sets the 3 coordinates of the class. More...
double	Solve (const CDtk_3dMat &matrix, const Dtk_dir &col3)
double	Solve (const Dtk_dir &col0, const Dtk_dir &col1, const Dtk_dir &col2, const Dtk_dir &col3)
Dtk_pnt	Symetrised (const Dtk_pnt &opl, const Dtk_dir &zpl) const
void	Symetry (const Dtk_dir &zpl)
void	Symetry (const Dtk_pnt &opl, const Dtk_dir &zpl)
void	Transform (const CDtk_3dMat &matrix)
Dtk_pnt	Transformed (const CDtk_3dMat &matrix) const
void	Translate (const Dtk_dir &dir)
void	Translate (const Dtk_pnt &p0, const Dtk_pnt &p1)
Dtk_pnt	Translated (const Dtk_dir &dir) const
Dtk_pnt	Translated (const Dtk_pnt &p0, const Dtk_pnt &p1) const
double &	x ()
	access to x coordinate of the Dtk_pnt. More...
const double &	x () const
	access to x coordinate of the Dtk_pnt. More...
double &	y ()
	access to y coordinate of the Dtk_pnt. More...
const double &	y () const
	access to y coordinate of the Dtk_pnt. More...
double &	z ()
	access to z coordinate of the Dtk_pnt. More...
const double &	z () const
	access to z coordinate of the Dtk_pnt. More...
	~Dtk_pnt ()

Static Public Member Functions
static Dtk_Double64	ProcessDistance (const Dtk_pnt &inPoint1, const Dtk_pnt &inPoint2)
static void	ProcessMiddlePoint (const Dtk_pnt &inPntA, const Dtk_pnt &inPntB, Dtk_pnt &outMiddlePnt)

Protected Attributes
double	_Coords [3]

Friends
double	Argument (const Dtk_pnt &O, const Dtk_dir &x, const Dtk_dir &y, const Dtk_pnt &P)
double	Argument (const Dtk_pnt &O, const Dtk_dir &x, const Dtk_pnt &P)
double	Argument (const Dtk_pnt &P)
int	operator!= (const Dtk_pnt &, const Dtk_pnt &)
	test if 2 Dtk_pnt are different More...
Dtk_pnt	operator* (double, const Dtk_pnt &)
Dtk_pnt	operator+ (const Dtk_pnt &, const Dtk_dir &)
	translate a Dtk_pnt with a Dtk_dir More...
Dtk_dir	operator- (const Dtk_pnt &, const Dtk_dir &)
	translate (in the opposite direction) a Dtk_pnt with a Dtk_dir More...
Dtk_pnt	operator/ (const Dtk_pnt &, double)
Dtk_pnt	operator/ (double, const Dtk_pnt &)
std::ostream &	operator<< (std::ostream &o, const Dtk_pnt &d)
int	operator== (const Dtk_pnt &, const Dtk_pnt &)
	test if 2 Dtk_pnt are equal More...

Detailed Description

This is a mathematical point class.

This class provides all method about points

Constructor & Destructor Documentation

Dtk_pnt() [1/4]

Dtk_pnt::Dtk_pnt

(

)

default constructor

~Dtk_pnt()

Dtk_pnt::~Dtk_pnt

(

)

{}

Dtk_pnt() [2/4]

Dtk_pnt::Dtk_pnt

(

const Dtk_pnt &

s

)

copy constructor

Dtk_pnt() [3/4]

Dtk_pnt::Dtk_pnt	(	double	a,
		double	b,
		double	c = 0.0
	)

constructor from 3 double

Dtk_pnt() [4/4]

Dtk_pnt::Dtk_pnt

(

const double

d[]

)

constructor from a 3 double array

Member Function Documentation

Affinitised()

Dtk_pnt Dtk_pnt::Affinitised	(	const Dtk_pnt &	p,
		const Dtk_dir &	xdir,
		const Dtk_dir &	ydir,
		double	f[3]
	)		const

Affinity() [1/2]

void Dtk_pnt::Affinity	(	const Dtk_pnt &	,
		const Dtk_dir &	xdir,
		const Dtk_dir &	ydir,
		double	f[3]
	)

Affinity() [2/2]

void Dtk_pnt::Affinity

(

double

f[3]

)

{ _Coords[ 0 ] *= f[ 0 ]; _Coords[ 1 ] *= f[ 1 ];  _Coords[ 2 ] *= f[ 2 ]; }

GetXYZ()

void Dtk_pnt::GetXYZ	(	Dtk_Double64 &	outX,
		Dtk_Double64 &	outY,
		Dtk_Double64 &	outZ
	)		const

Retrieves to the 3 coordinates of the class.

Warning

You can't modify the returned value.

     {
          outX = _Coords[ 0 ];
          outY = _Coords[ 1 ];
          outZ = _Coords[ 2 ];
     }

IsEqual()

int Dtk_pnt::IsEqual	(	const Dtk_pnt &	inPointToCompare,
		const double	inTolerance
	)		const

test if 2 Dtk_pnt are equal - with a tolerance -

Parameters

pnt2	the Dtk_pnt to compare
tol	the tolerance to compare

Returns

0 if not equals != 0 else

Sample:

Dtk_pnt a(0.0,0.0,0.0);
Dtk_pnt b(15.0,0.0,0.0);
...
if(a.is_equal(b, 0.1))
{...}

Multiplied()

Dtk_pnt Dtk_pnt::Multiplied

(

const CDtk_3dMat &

matrix

)

const

MultipliedByTransposed()

Dtk_pnt Dtk_pnt::MultipliedByTransposed

(

const CDtk_3dMat &

matrix

)

const

Multiply()

void Dtk_pnt::Multiply

(

const CDtk_3dMat &

matrix

)

MultiplyByTransposed()

void Dtk_pnt::MultiplyByTransposed

(

const CDtk_3dMat &

matrix

)

operator*() [1/2]

Dtk_pnt Dtk_pnt::operator*

(

const CDtk_3dMat &

matrix

)

const

{
     return Multiplied( matrix );
}

operator*() [2/2]

Dtk_pnt Dtk_pnt::operator*

(

double

a

)

const

{ return Dtk_pnt( _Coords[ 0 ] * a, _Coords[ 1 ] * a, _Coords[ 2 ] * a ); }

operator*=() [1/2]

void Dtk_pnt::operator*=

(

const CDtk_3dMat &

matrix

)

{
     Multiply( matrix );
}

operator*=() [2/2]

Dtk_pnt& Dtk_pnt::operator*=

(

double

)

operator+=()

Dtk_pnt& Dtk_pnt::operator+=

(

const Dtk_dir &

)

translate the Dtk_pnt with the given Dtk_dir

Parameters

a	the translation direction

Sample:

Dtk_pnt a(0.0,0.0,0.0);
Dtk_dir b(15.0,0.0,0.0);
a += b; //Now a is (15.0,0.0,0.0)

operator-()

Dtk_pnt Dtk_pnt::operator-

(

)

operator-=()

Dtk_pnt& Dtk_pnt::operator-=

(

const Dtk_dir &

)

translate (in the opposite direction) the Dtk_pnt with the given Dtk_dir

Parameters

a	the translation direction

Sample:

Dtk_pnt a(0.0,0.0,0.0);
Dtk_dir b(15.0,0.0,0.0);
a -= b; //Now a is (-15.0,0.0,0.0)

operator/=()

Dtk_pnt& Dtk_pnt::operator/=

(

double

)

operator=()

Dtk_pnt& Dtk_pnt::operator=

(

const Dtk_pnt &

s

)

operator[]() [1/2]

double& Dtk_pnt::operator[]

(

Dtk_Size_t

i

)

access to a specified coordinate of the Dtk_pnt

• i = 0 => X coordinate
• i = 1 => Y coordinate
• i = 2 => Z coordinate

     {
          Pdtk_Assert( i < 3 );
          return _Coords[ i ];
     }

operator[]() [2/2]

const double& Dtk_pnt::operator[]

(

Dtk_Size_t

i

)

const

access to a specified coordinate of the Dtk_pnt.

Warning

You can't modify the returned value.

• i = 0 => X coordinate
• i = 1 => Y coordinate
• i = 2 => Z coordinate

     {
          Pdtk_Assert( i < 3 );
          return _Coords[ i ];
     }

PostMultiplied()

Dtk_pnt Dtk_pnt::PostMultiplied

(

const CDtk_3dMat &

matrix

)

const

PostMultiply()

void Dtk_pnt::PostMultiply

(

const CDtk_3dMat &

matrix

)

ProcessDistance()

static Dtk_Double64 Dtk_pnt::ProcessDistance ( const Dtk_pnt &  inPoint1, const Dtk_pnt &  inPoint2  )

static

     {
          Dtk_Double64 dist = 0.0;
          Dtk_Size_t i;
 
          for( i = 0; i < 3; i++ )
               dist += ( inPoint1[ i ] - inPoint2[ i ] ) * ( inPoint1[ i ] - inPoint2[ i ] );
 
          return static_cast< Dtk_Double64 >( sqrt( dist ) );
     }

ProcessMiddlePoint()

static void Dtk_pnt::ProcessMiddlePoint ( const Dtk_pnt &  inPntA, const Dtk_pnt &  inPntB, Dtk_pnt &  outMiddlePnt  )

static

     {
          for( Dtk_Size_t i = 0; i < 3; i++ )
               outMiddlePnt[ i ] = ( inPntA[ i ] + inPntB[ i ] ) / 2.0;
     }

Project() [1/4]

double Dtk_pnt::Project	(	const Dtk_dir &	zdir,
		double	d
	)

Project() [2/4]

double Dtk_pnt::Project	(	const Dtk_dir &	zdir,
		double	d,
		const Dtk_dir &	zPrj
	)

Project() [3/4]

double Dtk_pnt::Project	(	const Dtk_pnt &	org,
		const Dtk_dir &	zdir
	)

Project() [4/4]

double Dtk_pnt::Project	(	const Dtk_pnt &	org,
		const Dtk_dir &	zdir,
		const Dtk_dir &	zPrj
	)

Projected() [1/4]

Dtk_pnt Dtk_pnt::Projected	(	const Dtk_dir &	zdir,
		double	d
	)		const

{
     Dtk_pnt tmp = *this;
     tmp.Project( zdir, d );
     return tmp;
}

Projected() [2/4]

Dtk_pnt Dtk_pnt::Projected	(	const Dtk_dir &	zdir,
		double	d,
		const Dtk_dir &	zPrj
	)		const

{
     Dtk_pnt tmp = *this;
     tmp.Project( zdir, d, zprj );
     return tmp;
}

Projected() [3/4]

Dtk_pnt Dtk_pnt::Projected	(	const Dtk_pnt &	org,
		const Dtk_dir &	zdir
	)		const

{
     Dtk_pnt tmp = *this;
     tmp.Project( org, zdir );
     return tmp;
}

Projected() [4/4]

Dtk_pnt Dtk_pnt::Projected	(	const Dtk_pnt &	org,
		const Dtk_dir &	zdir,
		const Dtk_dir &	zPrj
	)		const

{
     Dtk_pnt tmp = *this;
     tmp.Project( org, zdir, zprj );
     return tmp;
}

ProjectedOnLine()

Dtk_pnt Dtk_pnt::ProjectedOnLine	(	const Dtk_pnt &	org,
		const Dtk_dir &	dir
	)		const

{
     Dtk_pnt tmp = *this;
     tmp.ProjectOnLine( org, dir );
     return tmp;
}

ProjectOnLine()

void Dtk_pnt::ProjectOnLine	(	const Dtk_pnt &	org,
		const Dtk_dir &	dir
	)

Rotate() [1/2]

void Dtk_pnt::Rotate	(	const Dtk_dir &	dir,
		double	angle,
		const Dtk_pnt &	center
	)

Rotate() [2/2]

void Dtk_pnt::Rotate	(	const Dtk_pnt &	p0,
		const CDtk_3dMat &	matrix
	)

Rotated() [1/2]

Dtk_pnt Dtk_pnt::Rotated	(	const Dtk_dir &	dir,
		double	angle,
		const Dtk_pnt &	center
	)		const

Rotated() [2/2]

Dtk_pnt Dtk_pnt::Rotated	(	const Dtk_pnt &	p0,
		const CDtk_3dMat &	matrix
	)		const

Scale()

void Dtk_pnt::Scale	(	const Dtk_pnt &	p0,
		double	s
	)

Scaled()

Dtk_pnt Dtk_pnt::Scaled	(	const Dtk_pnt &	p0,
		double	s
	)		const

SetXYZ()

void Dtk_pnt::SetXYZ	(	const Dtk_Double64 &	inX,
		const Dtk_Double64 &	inY,
		const Dtk_Double64 &	inZ
	)

Sets the 3 coordinates of the class.

     {
          _Coords[ 0 ] = inX;
          _Coords[ 1 ] = inY;
          _Coords[ 2 ] = inZ;
     }

Solve() [1/2]

double Dtk_pnt::Solve	(	const CDtk_3dMat &	matrix,
		const Dtk_dir &	col3
	)

Solve() [2/2]

double Dtk_pnt::Solve	(	const Dtk_dir &	col0,
		const Dtk_dir &	col1,
		const Dtk_dir &	col2,
		const Dtk_dir &	col3
	)

Symetrised()

Dtk_pnt Dtk_pnt::Symetrised	(	const Dtk_pnt &	opl,
		const Dtk_dir &	zpl
	)		const

Symetry() [1/2]

void Dtk_pnt::Symetry

(

const Dtk_dir &

zpl

)

Symetry() [2/2]

void Dtk_pnt::Symetry	(	const Dtk_pnt &	opl,
		const Dtk_dir &	zpl
	)

Transform()

void Dtk_pnt::Transform

(

const CDtk_3dMat &

matrix

)

Transformed()

Dtk_pnt Dtk_pnt::Transformed

(

const CDtk_3dMat &

matrix

)

const

Translate() [1/2]

void Dtk_pnt::Translate

(

const Dtk_dir &

dir

)

Translate() [2/2]

void Dtk_pnt::Translate	(	const Dtk_pnt &	p0,
		const Dtk_pnt &	p1
	)

Translated() [1/2]

Dtk_pnt Dtk_pnt::Translated

(

const Dtk_dir &

dir

)

const

Translated() [2/2]

Dtk_pnt Dtk_pnt::Translated	(	const Dtk_pnt &	p0,
		const Dtk_pnt &	p1
	)		const

x() [1/2]

double& Dtk_pnt::x

(

)

access to x coordinate of the Dtk_pnt.

{ return _Coords[ 0 ]; }

x() [2/2]

const double& Dtk_pnt::x

(

)

const

access to x coordinate of the Dtk_pnt.

Warning

You can't modify the returned value.

{ return _Coords[ 0 ]; }

y() [1/2]

double& Dtk_pnt::y

(

)

access to y coordinate of the Dtk_pnt.

{ return _Coords[ 1 ]; }

y() [2/2]

const double& Dtk_pnt::y

(

)

const

access to y coordinate of the Dtk_pnt.

Warning

You can't modify the returned value.

{ return _Coords[ 1 ]; }

z() [1/2]

double& Dtk_pnt::z

(

)

access to z coordinate of the Dtk_pnt.

{ return _Coords[ 2 ]; }

z() [2/2]

const double& Dtk_pnt::z

(

)

const

access to z coordinate of the Dtk_pnt.

Warning

You can't modify the returned value.

{ return _Coords[ 2 ]; }

Friends And Related Function Documentation

Argument [1/3]

double Argument ( const Dtk_pnt &  O, const Dtk_dir &  x, const Dtk_dir &  y, const Dtk_pnt &  P  )

friend

Argument [2/3]

double Argument ( const Dtk_pnt &  O, const Dtk_dir &  x, const Dtk_pnt &  P  )

friend

Argument [3/3]

double Argument ( const Dtk_pnt &  P )

friend

operator!=

int operator!= ( const Dtk_pnt &  , const Dtk_pnt &    )

friend

test if 2 Dtk_pnt are different

Parameters

u	the first Dtk_pnt
v	the second Dtk_pnt

Returns

0 if equals != 0 else

Sample:

Dtk_pnt a(0.0,0.0,0.0);
Dtk_pnt b(15.0,0.0,0.0);
...
if(a != b)
{...}

operator*

Dtk_pnt operator* ( double  , const Dtk_pnt &    )

friend

operator+

Dtk_pnt operator+ ( const Dtk_pnt &  , const Dtk_dir &    )

friend

translate a Dtk_pnt with a Dtk_dir

Parameters

u	the point to translate
v	the translation direction

Returns

the translated point

Sample:

Dtk_pnt a(0.0,0.0,0.0);
Dtk_dir b(15.0,0.0,0.0);
Dtk_pnt c;
c = a + b; //Now c is (15.0,0.0,0.0)

operator-

Dtk_dir operator- ( const Dtk_pnt &  , const Dtk_dir &    )

friend

translate (in the opposite direction) a Dtk_pnt with a Dtk_dir

Parameters

u	the point to translate
v	the translation direction

Returns

the translated point

Sample:

Dtk_pnt a(0.0,0.0,0.0);
Dtk_dir b(15.0,0.0,0.0);
Dtk_pnt c;
c = a - b; //Now c is (-15.0,0.0,0.0)

operator/ [1/2]

Dtk_pnt operator/ ( const Dtk_pnt &  , double    )

friend

operator/ [2/2]

Dtk_pnt operator/ ( double  , const Dtk_pnt &    )

friend

operator<<

std::ostream& operator<< ( std::ostream &  o, const Dtk_pnt &  d  )

friend

operator==

int operator== ( const Dtk_pnt &  , const Dtk_pnt &    )

friend

test if 2 Dtk_pnt are equal

Parameters

u	the first Dtk_pnt
v	the second Dtk_pnt

Returns

0 if not equals != 0 else

Sample:

Dtk_pnt a(0.0,0.0,0.0);
Dtk_pnt b(15.0,0.0,0.0);
...
if(a == b)
{...}

Field Documentation

_Coords

double Dtk_pnt::_Coords[3]

protected