Point Class Reference

#include <point.h>

Inheritance diagram for Point:

[legend]

List of all members.

Public Member Functions
	Point (const Real x=0., const Real y=0., const Real z=0.)
	Point (const Point &p)
	Point (const TypeVector< Real > &p)
virtual	~Point ()
template<typename T2 >
void	assign (const TypeVector< T2 > &)
T	operator() (const unsigned int i) const
T &	operator() (const unsigned int i)
template<typename T2 >
TypeVector< typename CompareTypes< T, T2 > ::supertype >	operator+ (const TypeVector< T2 > &) const
template<typename T2 >
const TypeVector< T > &	operator+= (const TypeVector< T2 > &)
template<typename T2 >
void	add (const TypeVector< T2 > &)
template<typename T2 >
void	add_scaled (const TypeVector< T2 > &, const T)
template<typename T2 >
TypeVector< typename CompareTypes< T, T2 > ::supertype >	operator- (const TypeVector< T2 > &) const
TypeVector< T >	operator- () const
template<typename T2 >
const TypeVector< T > &	operator-= (const TypeVector< T2 > &)
template<typename T2 >
void	subtract (const TypeVector< T2 > &)
template<typename T2 >
void	subtract_scaled (const TypeVector< T2 > &, const T)
template<typename Scalar >
boostcopy::enable_if_c < ScalarTraits< Scalar > ::value, TypeVector< typename CompareTypes< T, Scalar > ::supertype > >::type	operator* (const Scalar) const
template<typename T2 >
CompareTypes< T, T2 >::supertype	operator* (const TypeVector< T2 > &) const
const TypeVector< T > &	operator*= (const T)
template<typename Scalar >
boostcopy::enable_if_c < ScalarTraits< Scalar > ::value, TypeVector< typename CompareTypes< T, Scalar > ::supertype > >::type	operator/ (const Scalar) const
const TypeVector< T > &	operator/= (const T)
template<typename T2 >
TypeVector< typename CompareTypes< T, T2 > ::supertype >	cross (const TypeVector< T2 > &) const
TypeVector< T >	unit () const
Real	size () const
Real	size_sq () const
void	zero ()
bool	relative_fuzzy_equals (const TypeVector< T > &rhs, Real tol=TOLERANCE) const
bool	absolute_fuzzy_equals (const TypeVector< T > &rhs, Real tol=TOLERANCE) const
bool	operator== (const TypeVector< T > &rhs) const
bool	operator!= (const TypeVector< T > &rhs) const
template<>
bool	operator!= (const TypeVector< Real > &rhs) const
bool	operator< (const TypeVector< T > &rhs) const
template<>
bool	operator< (const TypeVector< Complex > &rhs) const
bool	operator> (const TypeVector< T > &rhs) const
template<>
bool	operator> (const TypeVector< Complex > &rhs) const
void	print (std::ostream &os) const
void	write_unformatted (std::ostream &out, const bool newline=true) const
Protected Attributes
T	_coords [LIBMESH_DIM]
Friends
class	Node
std::ostream &	operator<< (std::ostream &os, const TypeVector< T > &t)

---

Detailed Description

A Point defines a location in LIBMESH_DIM dimensional Real space. Points are always real-valued, even if the library is configured with --enable-complex.

Author:

Benjamin S. Kirk, 2003.

Definition at line 42 of file point.h.

---

Constructor & Destructor Documentation

Point::Point	(	const Real	x = 0.,
		const Real	y = 0.,
		const Real	z = 0.
	)			[inline]

Constructor. By default sets all entries to 0. Gives the point 0 in LIBMESH_DIM dimensions.

Definition at line 89 of file point.h.

Referenced by Node::PackedNode::build_point().

                            :
  TypeVector<Real> (x,y,z)
{
}

Point::Point

(

const Point &

p

)

[inline]

Copy-constructor.

Definition at line 99 of file point.h.

                            :
  TypeVector<Real> (p)
{
}

Point::Point

(

const TypeVector< Real > &

p

)

[inline]

Copy-constructor.

Definition at line 107 of file point.h.

                                       :
  TypeVector<Real> (p)
{
}

virtual Point::~Point

(

)

[inline, virtual]

Empty.

Definition at line 67 of file point.h.

{}

---

Member Function Documentation

template<typename T >

bool TypeVector< T >::absolute_fuzzy_equals	(	const TypeVector< T > &	rhs,
		Real	tol = TOLERANCE
	)			const [inline, inherited]

Returns:

true iff two vectors occupy approximately the same physical location in space, to within an absolute tolerance of tol.

Definition at line 755 of file type_vector.h.

References TypeVector< T >::_coords.

Referenced by LocationMap< T >::find(), and TypeVector< T >::relative_fuzzy_equals().

{
#if LIBMESH_DIM == 1
  return (std::abs(_coords[0] - rhs._coords[0])
          <= tol);
#endif

#if LIBMESH_DIM == 2
  return (std::abs(_coords[0] - rhs._coords[0]) +
          std::abs(_coords[1] - rhs._coords[1])
          <= tol);
#endif

#if LIBMESH_DIM == 3
  return (std::abs(_coords[0] - rhs._coords[0]) +
          std::abs(_coords[1] - rhs._coords[1]) +
          std::abs(_coords[2] - rhs._coords[2])
          <= tol);
#endif
}

template<typename T >

template<typename T2 >

void TypeVector< T >::add

(

const TypeVector< T2 > &

p

)

[inline, inherited]

Add to this vector without creating a temporary.

Definition at line 426 of file type_vector.h.

References TypeVector< T >::_coords.

Referenced by Elem::centroid(), InfFE< Dim, T_radial, T_map >::inverse_map(), FE< Dim, T >::inverse_map(), LaplaceMeshSmoother::smooth(), and MeshTools::Modification::smooth().

{
#if LIBMESH_DIM == 1
  _coords[0] += p._coords[0];
#endif
  
#if LIBMESH_DIM == 2
  _coords[0] += p._coords[0];
  _coords[1] += p._coords[1];
#endif
  
#if LIBMESH_DIM == 3
  _coords[0] += p._coords[0];
  _coords[1] += p._coords[1];
  _coords[2] += p._coords[2];
#endif

}

template<typename T >

template<typename T2 >

void TypeVector< T >::add_scaled	(	const TypeVector< T2 > &	p,
		const T	factor
	)			[inline, inherited]

Add a scaled value to this vector without creating a temporary.

Definition at line 450 of file type_vector.h.

References TypeVector< T >::_coords.

Referenced by HPCoarsenTest::add_projection(), KellyErrorEstimator::boundary_side_integration(), System::calculate_norm(), Elem::coarsen(), FEBase::coarsened_dof_values(), FEMContext::fixed_interior_gradient(), FEMContext::fixed_side_gradient(), MeshFunction::gradient(), FEMContext::interior_gradient(), KellyErrorEstimator::internal_side_integration(), InfFE< Dim, T_radial, T_map >::inverse_map(), FE< Dim, T >::map(), FE< Dim, T >::map_eta(), FE< Dim, T >::map_xi(), FE< Dim, T >::map_zeta(), PatchRecoveryErrorEstimator::EstimateError::operator()(), HPCoarsenTest::select_refinement(), FEMContext::side_gradient(), and MeshTools::Modification::smooth().

{
#if LIBMESH_DIM == 1
  _coords[0] += factor*p(0);
#endif
  
#if LIBMESH_DIM == 2
  _coords[0] += factor*p(0);
  _coords[1] += factor*p(1);
#endif
  
#if LIBMESH_DIM == 3
  _coords[0] += factor*p(0);
  _coords[1] += factor*p(1);
  _coords[2] += factor*p(2);
#endif

}

template<typename T >

template<typename T2 >

void TypeVector< T >::assign

(

const TypeVector< T2 > &

p

)

[inline, inherited]

Assign to a vector without creating a temporary.

Definition at line 335 of file type_vector.h.

References TypeVector< T >::_coords.

{
  for (unsigned int i=0; i<LIBMESH_DIM; i++)
    _coords[i] = p._coords[i];
}

template<typename T >

template<typename T2 >

TypeVector< typename CompareTypes< T, T2 >::supertype > TypeVector< T >::cross

(

const TypeVector< T2 > &

p

)

const [inline, inherited]

Cross 2 vectors together, i.e. cross-product.

Definition at line 696 of file type_vector.h.

References TypeVector< T >::_coords.

Referenced by FEBase::compute_face_map(), FEXYZ< Dim >::compute_face_values(), Plane::create_from_three_points(), Tri3::volume(), Quad4::volume(), Tet4::volume(), Pyramid5::volume(), Prism6::volume(), and Hex8::volume().

{
  typedef typename CompareTypes<T, T2>::supertype TS;
  libmesh_assert (LIBMESH_DIM == 3);

  // |     i          j          k    |
  // |(*this)(0) (*this)(1) (*this)(2)|
  // |   p(0)       p(1)       p(2)   |

  return TypeVector<TS>( _coords[1]*p._coords[2] - _coords[2]*p._coords[1],
                        -_coords[0]*p._coords[2] + _coords[2]*p._coords[0],
                         _coords[0]*p._coords[1] - _coords[1]*p._coords[0]);
}

template<>

bool TypeVector< Real >::operator!=

(

const TypeVector< Real > &

rhs

)

const [inline, inherited]

Definition at line 827 of file type_vector.h.

{
  return (!(*this == rhs));
}

template<typename T >

bool TypeVector< T >::operator!=

(

const TypeVector< T > &

rhs

)

const [inherited]

Returns:

true iff two vectors do not occupy approximately the same physical location in space.

template<typename T >

T & TypeVector< T >::operator()

(

const unsigned int

i

)

[inline, inherited]

Return a writeable reference to the element of the vector.

Definition at line 363 of file type_vector.h.

References TypeVector< T >::_coords.

{
#if LIBMESH_DIM < 3

  if (i >= LIBMESH_DIM)
    {
//       std::cerr << "ERROR:  You are assigning to a vector component" << std::endl
//              << "that is out of range for the compiled LIBMESH_DIM!"      << std::endl
//              << " LIBMESH_DIM=" << LIBMESH_DIM << " , i=" << i
//              << std::endl;
      libmesh_error();
    }
  
#endif
  
  libmesh_assert (i<LIBMESH_DIM);
  
  return _coords[i];
}

template<typename T >

T TypeVector< T >::operator()

(

const unsigned int

i

)

const [inline, inherited]

Return the element of the vector.

Definition at line 345 of file type_vector.h.

References TypeVector< T >::_coords.

{
  libmesh_assert (i<3);

#if LIBMESH_DIM < 3
  
  if (i > (LIBMESH_DIM-1))
    return 0.;
  
#endif
  
  return _coords[i];
}

template<typename T >

template<typename T2 >

CompareTypes< T, T2 >::supertype TypeVector< T >::operator*

(

const TypeVector< T2 > &

p

)

const [inline, inherited]

Multiply 2 vectors together, i.e. dot-product. The vectors may be of different types.

Definition at line 673 of file type_vector.h.

References TypeVector< T >::_coords.

{
#if LIBMESH_DIM == 1
  return _coords[0]*p._coords[0];
#endif
  
#if LIBMESH_DIM == 2
  return (_coords[0]*p._coords[0] +
          _coords[1]*p._coords[1]);
#endif
  
#if LIBMESH_DIM == 3
  return (_coords[0]*p(0) +
          _coords[1]*p(1) +
          _coords[2]*p(2));
#endif
}

template<typename T >

template<typename Scalar >

boostcopy::enable_if_c< ScalarTraits< Scalar >::value, TypeVector< typename CompareTypes< T, Scalar >::supertype > >::type TypeVector< T >::operator*

(

const Scalar

factor

)

const [inline, inherited]

Multiply a vector by a number, i.e. scale.

Definition at line 562 of file type_vector.h.

References TypeVector< T >::_coords.

{
  typedef typename CompareTypes<T, Scalar>::supertype TS;

#if LIBMESH_DIM == 1
  return TypeVector<TS>(_coords[0]*factor);
#endif
  
#if LIBMESH_DIM == 2 
  return TypeVector<TS>(_coords[0]*factor,
                        _coords[1]*factor);
#endif
  
#if LIBMESH_DIM == 3
  return TypeVector<TS>(_coords[0]*factor,
                        _coords[1]*factor, 
                        _coords[2]*factor);
#endif  
}

template<typename T >

const TypeVector< T > & TypeVector< T >::operator*=

(

const T

factor

)

[inline, inherited]

Multiply this vector by a number, i.e. scale.

Definition at line 599 of file type_vector.h.

References TypeVector< T >::_coords.

{
#if LIBMESH_DIM == 1
  _coords[0] *= factor;
#endif
  
#if LIBMESH_DIM == 2
  _coords[0] *= factor;
  _coords[1] *= factor;
#endif
  
#if LIBMESH_DIM == 3
  _coords[0] *= factor;
  _coords[1] *= factor;
  _coords[2] *= factor;
#endif

  return *this;
}

template<typename T >

template<typename T2 >

TypeVector< typename CompareTypes< T, T2 >::supertype > TypeVector< T >::operator+

(

const TypeVector< T2 > &

p

)

const [inline, inherited]

Add two vectors.

Definition at line 389 of file type_vector.h.

References TypeVector< T >::_coords.

{
  typedef typename CompareTypes<T, T2>::supertype TS;
#if LIBMESH_DIM == 1
  return TypeVector<TS> (_coords[0] + p._coords[0]);
#endif

#if LIBMESH_DIM == 2 
  return TypeVector<TS> (_coords[0] + p._coords[0],
                         _coords[1] + p._coords[1]);
#endif

#if LIBMESH_DIM == 3
  return TypeVector<TS> (_coords[0] + p._coords[0],
                         _coords[1] + p._coords[1],
                         _coords[2] + p._coords[2]);
#endif
               
}

template<typename T >

template<typename T2 >

const TypeVector< T > & TypeVector< T >::operator+=

(

const TypeVector< T2 > &

p

)

[inline, inherited]

Add to this vector.

Definition at line 414 of file type_vector.h.

{
  this->add (p);

  return *this;
}

template<typename T >

TypeVector< T > TypeVector< T >::operator-

(

)

const [inline, inherited]

Return the opposite of a vector

Definition at line 534 of file type_vector.h.

References TypeVector< T >::_coords, and TypeVector< T >::TypeVector.

{
  
#if LIBMESH_DIM == 1
  return TypeVector(-_coords[0]);
#endif

#if LIBMESH_DIM == 2 
  return TypeVector(-_coords[0],
                    -_coords[1]);
#endif

#if LIBMESH_DIM == 3
  return TypeVector(-_coords[0],
                    -_coords[1], 
                    -_coords[2]);
#endif
  
}

template<typename T >

template<typename T2 >

TypeVector< typename CompareTypes< T, T2 >::supertype > TypeVector< T >::operator-

(

const TypeVector< T2 > &

p

)

const [inline, inherited]

Subtract two vectors.

Definition at line 475 of file type_vector.h.

References TypeVector< T >::_coords.

{
  typedef typename CompareTypes<T, T2>::supertype TS;

#if LIBMESH_DIM == 1
  return TypeVector<TS>(_coords[0] - p._coords[0]);
#endif

#if LIBMESH_DIM == 2 
  return TypeVector<TS>(_coords[0] - p._coords[0],
                        _coords[1] - p._coords[1]);
#endif

#if LIBMESH_DIM == 3
  return TypeVector<TS>(_coords[0] - p._coords[0],
                        _coords[1] - p._coords[1],
                        _coords[2] - p._coords[2]);
#endif

}

template<typename T >

template<typename T2 >

const TypeVector< T > & TypeVector< T >::operator-=

(

const TypeVector< T2 > &

p

)

[inline, inherited]

Subtract from this vector.

Definition at line 501 of file type_vector.h.

References TypeVector< T >::subtract().

{
  this->subtract (p);

  return *this;
}

template<typename T >

template<typename Scalar >

boostcopy::enable_if_c< ScalarTraits< Scalar >::value, TypeVector< typename CompareTypes< T, Scalar >::supertype > >::type TypeVector< T >::operator/

(

const Scalar

factor

)

const [inline, inherited]

Divide a vector by a number, i.e. scale.

Definition at line 627 of file type_vector.h.

References TypeVector< T >::_coords.

{
  libmesh_assert (factor != static_cast<T>(0.));

  typedef typename CompareTypes<T, Scalar>::supertype TS;
  
#if LIBMESH_DIM == 1
  return TypeVector<TS>(_coords[0]/factor);
#endif
  
#if LIBMESH_DIM == 2 
  return TypeVector<TS>(_coords[0]/factor,
                        _coords[1]/factor);
#endif
  
#if LIBMESH_DIM == 3
  return TypeVector<TS>(_coords[0]/factor,
                        _coords[1]/factor, 
                        _coords[2]/factor);
#endif
  
}

template<typename T >

const TypeVector< T > & TypeVector< T >::operator/=

(

const T

factor

)

[inline, inherited]

Divide this vector by a number, i.e. scale.

Definition at line 656 of file type_vector.h.

References TypeVector< T >::_coords.

{
  libmesh_assert (factor != static_cast<T>(0.));
  
  for (unsigned int i=0; i<LIBMESH_DIM; i++)
    _coords[i] /= factor;

  return *this;
}

template<>

bool TypeVector< Complex >::operator<

(

const TypeVector< Complex > &

rhs

)

const [inline, inherited]

Definition at line 141 of file type_vector.C.

{
  for (unsigned int i=0; i<LIBMESH_DIM; i++)
    {
      if ((*this)(i).real() < rhs(i).real())
        return true;
      if ((*this)(i).real() > rhs(i).real())
        return false;
      if ((*this)(i).imag() < rhs(i).imag())
        return true;
      if ((*this)(i).imag() > rhs(i).imag())
        return false;
    }
  return false;
}

template<typename T >

bool TypeVector< T >::operator<

(

const TypeVector< T > &

rhs

)

const [inline, inherited]

Returns:

true if this vector is "less" than another. Useful for sorting. Also used for choosing some arbitrary basis function orientations

Definition at line 110 of file type_vector.C.

{
  for (unsigned int i=0; i<LIBMESH_DIM; i++)
    {
      if ((*this)(i) < rhs(i))
        return true;
      if ((*this)(i) > rhs(i))
        return false;
    }
  return false;
}

template<typename T >

bool TypeVector< T >::operator==

(

const TypeVector< T > &

rhs

)

const [inline, inherited]

Returns:

true iff two vectors occupy approximately the same physical location in space, to within an absolute tolerance of TOLERANCE.

Definition at line 805 of file type_vector.h.

References TypeVector< T >::_coords.

{
#if LIBMESH_DIM == 1
  return (_coords[0] == rhs._coords[0]);
#endif

#if LIBMESH_DIM == 2
  return (_coords[0] == rhs._coords[0] &&
          _coords[1] == rhs._coords[1]);
#endif

#if LIBMESH_DIM == 3
  return (_coords[0] == rhs._coords[0] &&
          _coords[1] == rhs._coords[1] &&
          _coords[2] == rhs._coords[2]);
#endif
}

template<>

bool TypeVector< Complex >::operator>

(

const TypeVector< Complex > &

rhs

)

const [inline, inherited]

Definition at line 160 of file type_vector.C.

{
  for (unsigned int i=0; i<LIBMESH_DIM; i++)
    {
      if ((*this)(i).real() > rhs(i).real())
        return true;
      if ((*this)(i).real() < rhs(i).real())
        return false;
      if ((*this)(i).imag() > rhs(i).imag())
        return true;
      if ((*this)(i).imag() < rhs(i).imag())
        return false;
    }
  return false;
}

template<typename T >

bool TypeVector< T >::operator>

(

const TypeVector< T > &

rhs

)

const [inline, inherited]

Returns:

true if this vector is "greater" than another. Useful for sorting. Also used for choosing some arbitrary basis function orientations

Definition at line 125 of file type_vector.C.

{
  for (unsigned int i=0; i<LIBMESH_DIM; i++)
    {
      if ((*this)(i) > rhs(i))
        return true;
      if ((*this)(i) < rhs(i))
        return false;
    }
  return false;
}

template<typename T >

void TypeVector< T >::print

(

std::ostream &

os

)

const [inline, inherited]

Formatted print to std::cout.

Definition at line 63 of file type_vector.C.

{
#if LIBMESH_DIM == 1
  
  os << "x=" << (*this)(0) << '\n';
  
#endif
#if LIBMESH_DIM == 2
  
  os << "(x,y)=("
     << std::setw(8) << (*this)(0) << ", "
     << std::setw(8) << (*this)(1) << ")"
     << '\n';

#endif
#if LIBMESH_DIM == 3
  
  os <<  "(x,y,z)=("
     << std::setw(8) << (*this)(0) << ", "
     << std::setw(8) << (*this)(1) << ", "
     << std::setw(8) << (*this)(2) << ")"
     << '\n';
#endif
}

template<typename T >

bool TypeVector< T >::relative_fuzzy_equals	(	const TypeVector< T > &	rhs,
		Real	tol = TOLERANCE
	)			const [inline, inherited]

Returns:

true iff two vectors occupy approximately the same physical location in space, to within a relative tolerance of tol.

Definition at line 780 of file type_vector.h.

References TypeVector< T >::_coords, and TypeVector< T >::absolute_fuzzy_equals().

Referenced by Quad9::has_affine_map(), Quad8::has_affine_map(), Quad4::has_affine_map(), Prism6::has_affine_map(), Prism18::has_affine_map(), Prism15::has_affine_map(), Hex8::has_affine_map(), Hex27::has_affine_map(), and Hex20::has_affine_map().

{
#if LIBMESH_DIM == 1
  return this->absolute_fuzzy_equals(rhs, tol *
                                     (std::abs(_coords[0]) + std::abs(rhs._coords[0])));
#endif

#if LIBMESH_DIM == 2
  return this->absolute_fuzzy_equals(rhs, tol * 
                                     (std::abs(_coords[0]) + std::abs(rhs._coords[0]) +
                                      std::abs(_coords[1]) + std::abs(rhs._coords[1])));
#endif

#if LIBMESH_DIM == 3
  return this->absolute_fuzzy_equals(rhs, tol *
                                     (std::abs(_coords[0]) + std::abs(rhs._coords[0]) +
                                      std::abs(_coords[1]) + std::abs(rhs._coords[1]) +
                                      std::abs(_coords[2]) + std::abs(rhs._coords[2])));
#endif
}

template<typename T >

Real TypeVector< T >::size

(

)

const [inline, inherited]

Returns the magnitude of the vector, i.e. the square-root of the sum of the elements squared.

Definition at line 714 of file type_vector.h.

References TypeVector< T >::size_sq().

Referenced by Sphere::above_surface(), InfElemBuilder::build_inf_elem(), Elem::hmax(), Elem::hmin(), InfFE< Dim, T_radial, T_map >::inverse_map(), FE< Dim, T >::inverse_map(), FEInterface::inverse_map(), Tri3::min_and_max_angle(), Tet4::min_and_max_angle(), Sphere::on_surface(), Tri::quality(), MeshTools::Modification::smooth(), Sphere::surface_coords(), and TypeVector< T >::unit().

{
  return std::sqrt(this->size_sq());  
}

template<typename T >

Real TypeVector< T >::size_sq

(

)

const [inline, inherited]

Returns the magnitude of the vector squared, i.e. the sum of the element magnitudes squared.

Definition at line 733 of file type_vector.h.

References TypeVector< T >::_coords, and libmesh_norm().

Referenced by ExactSolution::_compute_error(), System::calculate_norm(), ExactErrorEstimator::find_squared_element_error(), HPCoarsenTest::select_refinement(), TypeVector< T >::size(), Sphere::Sphere(), and Edge3::volume().

{
#if LIBMESH_DIM == 1
  return (libmesh_norm(_coords[0]));
#endif
  
#if LIBMESH_DIM == 2
  return (libmesh_norm(_coords[0]) +
          libmesh_norm(_coords[1]));
#endif
  
#if LIBMESH_DIM == 3
  return (libmesh_norm(_coords[0]) +
          libmesh_norm(_coords[1]) + 
          libmesh_norm(_coords[2]));
#endif
}

template<typename T >

template<typename T2 >

void TypeVector< T >::subtract

(

const TypeVector< T2 > &

p

)

[inline, inherited]

Subtract from this vector without creating a temporary.

Definition at line 513 of file type_vector.h.

References TypeVector< T >::_coords.

Referenced by TypeVector< T >::operator-=().

{
  for (unsigned int i=0; i<LIBMESH_DIM; i++)
    _coords[i] -= p._coords[i];
}

template<typename T >

template<typename T2 >

void TypeVector< T >::subtract_scaled	(	const TypeVector< T2 > &	p,
		const T	factor
	)			[inline, inherited]

Subtract a scaled value from this vector without creating a temporary.

Definition at line 524 of file type_vector.h.

References TypeVector< T >::_coords.

Referenced by HPCoarsenTest::select_refinement().

{
  for (unsigned int i=0; i<LIBMESH_DIM; i++)
    _coords[i] -= factor*p(i);
}

template<typename T >

TypeVector< T > TypeVector< T >::unit

(

)

const [inline, inherited]

Think of a vector as a dim dimensional vector. This will return a unit vector aligned in that direction.

Definition at line 36 of file type_vector.C.

References TypeVector< T >::_coords, and TypeVector< T >::size().

Referenced by FEBase::compute_face_map(), FEXYZ< Dim >::compute_face_values(), Plane::create_from_point_normal(), Plane::create_from_three_points(), MeshTools::Modification::distort(), and Sphere::unit_normal().

{

  const Real length = size();
  
  libmesh_assert (length != static_cast<Real>(0.));
  
#if LIBMESH_DIM == 1
  return TypeVector<T>(_coords[0]/length);
#endif
  
#if LIBMESH_DIM == 2 
  return TypeVector<T>(_coords[0]/length,
                       _coords[1]/length);
#endif
  
#if LIBMESH_DIM == 3
  return TypeVector<T>(_coords[0]/length,
                       _coords[1]/length, 
                       _coords[2]/length);
#endif
  
}

template<typename T >

void TypeVector< T >::write_unformatted	(	std::ostream &	out,
		const bool	newline = true
	)			const [inline, inherited]

Unformatted print to the stream out. Simply prints the elements of the vector separated by spaces. Optionally prints a newline, which it does by default.

Definition at line 93 of file type_vector.C.

Referenced by InfElemBuilder::build_inf_elem(), TecplotIO::write_ascii(), and DivaIO::write_stream().

{
  libmesh_assert (out);

  out << std::setiosflags(std::ios::showpoint)
      << (*this)(0) << " "
      << (*this)(1) << " "
      << (*this)(2) << " ";

  if (newline)
    out << '\n';      
}

template<typename T >

void TypeVector< T >::zero

(

)

[inline, inherited]

Zero the vector in any dimension.

Definition at line 723 of file type_vector.h.

References TypeVector< T >::_coords.

{
  for (unsigned int i=0; i<LIBMESH_DIM; i++)
    _coords[i] = 0.;
}

---

Friends And Related Function Documentation

friend class Node [friend]

Returns:

a key associated with this point. Useful for sorting. Make the derived class a friend

Definition at line 81 of file point.h.

template<typename T >

std::ostream& operator<<	(	std::ostream &	os,
		const TypeVector< T > &	t
	)			[friend, inherited]

Formatted print as above but allows you to do Point p(1,2,3); std::cout << p << std::endl;

Definition at line 268 of file type_vector.h.

  {
    t.print(os);
    return os;
  }

---

Member Data Documentation

template<typename T >

T TypeVector< T >::_coords[LIBMESH_DIM] [protected, inherited]

The coordinates of the TypeVector

Definition at line 286 of file type_vector.h.

Referenced by TypeVector< T >::absolute_fuzzy_equals(), TypeVector< T >::add(), TypeVector< T >::add_scaled(), TypeVector< T >::assign(), TypeVector< T >::cross(), TypeVector< T >::operator()(), TypeVector< T >::operator*(), TypeVector< T >::operator*=(), TypeVector< T >::operator+(), TypeVector< T >::operator-(), TypeVector< T >::operator/(), TypeVector< T >::operator/=(), TypeVector< T >::operator==(), TypeVector< T >::relative_fuzzy_equals(), TypeVector< T >::size_sq(), TypeVector< T >::subtract(), TypeVector< T >::subtract_scaled(), TypeVector< T >::TypeVector(), TypeVector< T >::unit(), and TypeVector< T >::zero().

---

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

• point.h