Geometry

Lengths, areas, volumes and centroids of finite-element shapes, and related parametrization utilities. More...

Namespaces
namespace	minitensor::ELEMENT

Classes
class	minitensor::SphericalParametrization< T, N >
class	minitensor::StereographicParametrization< T, N >
class	minitensor::ProjectiveParametrization< T, N >
class	minitensor::TangentParametrization< T, N >
class	minitensor::CartesianParametrization< T, N >
class	minitensor::ParametricGrid< T, N >

Enumerations
enum	minitensor::ELEMENT::Type {   minitensor::ELEMENT::UNKNOWN , minitensor::ELEMENT::SEGMENTAL , minitensor::ELEMENT::TRIANGULAR , minitensor::ELEMENT::QUADRILATERAL ,   minitensor::ELEMENT::TETRAHEDRAL , minitensor::ELEMENT::HEXAHEDRAL }

Functions
template<typename T , Index N>
KOKKOS_INLINE_FUNCTION T	minitensor::length (Vector< T, N > const &p0, Vector< T, N > const &p1)
template<typename T , Index N>
KOKKOS_INLINE_FUNCTION T	minitensor::area (Vector< T, N > const &p0, Vector< T, N > const &p1, Vector< T, N > const &p2)
template<typename T , Index N>
KOKKOS_INLINE_FUNCTION T	minitensor::area (Vector< T, N > const &p0, Vector< T, N > const &p1, Vector< T, N > const &p2, Vector< T, N > const &p3)
template<typename T , Index N>
KOKKOS_INLINE_FUNCTION T	minitensor::volume (Vector< T, N > const &p0, Vector< T, N > const &p1, Vector< T, N > const &p2, Vector< T, N > const &p3)
template<typename T , Index N>
KOKKOS_INLINE_FUNCTION T	minitensor::volume (Vector< T, N > const &p0, Vector< T, N > const &p1, Vector< T, N > const &p2, Vector< T, N > const &p3, Vector< T, N > const &p4, Vector< T, N > const &p5, Vector< T, N > const &p6, Vector< T, N > const &p7)
template<typename T , Index N>
Vector< T, N >	minitensor::centroid (std::vector< Vector< T, N > > const &points)
template<typename T , Index N>
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::normal (Vector< T, N > const &p0, Vector< T, N > const &p1, Vector< T, N > const &p2)
template<typename T , Index N>
KOKKOS_INLINE_FUNCTION bool	minitensor::in_normal_side (Vector< T, N > const &p, Vector< T, N > const &p0, Vector< T, N > const &p1, Vector< T, N > const &p2, T const tolerance=0)
template<typename T , typename I , Index N>
KOKKOS_INLINE_FUNCTION std::pair< Vector< T, N >, Vector< T, N > >	minitensor::bounding_box (I start, I end)
template<typename T , typename I >
KOKKOS_INLINE_FUNCTION std::pair< Vector< T, DYNAMIC >, Vector< T, DYNAMIC > >	minitensor::bounding_box (I start, I end)
template<typename T , Index N>
KOKKOS_INLINE_FUNCTION bool	minitensor::in_box (Vector< T, N > const &p, Vector< T, N > const &min, Vector< T, N > const &max)
template<typename T , Index N>
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::random_in_box (Vector< T, N > const &min, Vector< T, N > const &max)
template<typename T , Index N>
KOKKOS_INLINE_FUNCTION bool	minitensor::in_tetrahedron (Vector< T, N > const &p, Vector< T, N > const &p0, Vector< T, N > const &p1, Vector< T, N > const &p2, Vector< T, N > const &p3, T const tolerance=0)
template<typename T , Index N>
KOKKOS_INLINE_FUNCTION bool	minitensor::in_hexahedron (Vector< T, N > const &p, Vector< T, N > const &p0, Vector< T, N > const &p1, Vector< T, N > const &p2, Vector< T, N > const &p3, Vector< T, N > const &p4, Vector< T, N > const &p5, Vector< T, N > const &p6, Vector< T, N > const &p7, T const tolerance=0)
template<typename T , Index N>
std::vector< Vector< T, N > >::size_type	minitensor::closest_point (Vector< T, N > const &p, std::vector< Vector< T, N > > const &n)
template<typename T , typename Iterator >
KOKKOS_INLINE_FUNCTION T	minitensor::median (Iterator begin, Iterator end)
template<typename T , Index N>
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::interpolate_quadrilateral (Vector< T, dimension_const< N, 2 >::value > &xi, Vector< T, N > const &p0, Vector< T, N > const &p1, Vector< T, N > const &p2, Vector< T, N > const &p3)
template<typename T , Index N>
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::interpolate_triangle (Vector< T, dimension_const< N, 3 >::value > &xi, Vector< T, N > const &p0, Vector< T, N > const &p1, Vector< T, N > const &p2)
template<typename T , Index N>
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::interpolate_hexahedron (Vector< T, dimension_const< N, 3 >::value > &xi, Vector< T, N > const &p0, Vector< T, N > const &p1, Vector< T, N > const &p2, Vector< T, N > const &p3, Vector< T, N > const &p4, Vector< T, N > const &p5, Vector< T, N > const &p6, Vector< T, N > const &p7)
template<typename T , Index N>
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::interpolate_tetrahedron (Vector< T, dimension_const< N, 4 >::value > &xi, Vector< T, N > const &p0, Vector< T, N > const &p1, Vector< T, N > const &p2, Vector< T, N > const &p3)
template<typename T , Index M, Index N>
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::interpolate_element (ELEMENT::Type element_type, Vector< T, M > &xi, std::vector< Vector< T, N > > const &v)
template<typename T , Index N>
std::vector< std::vector< T > >	minitensor::distance_matrix (std::vector< Vector< T, N > > const &points)
template<typename T >
std::vector< T >	minitensor::minimum_distances (std::vector< std::vector< T > > const &distances)
KOKKOS_INLINE_FUNCTION ELEMENT::Type	minitensor::find_type (Index const dimension, Index const number_nodes)
KOKKOS_INLINE_FUNCTION	minitensor::SphericalParametrization< T, N >::SphericalParametrization (Tensor4< T, N > const &A)
KOKKOS_INLINE_FUNCTION void	minitensor::SphericalParametrization< T, N >::operator() (Vector< T, dimension_const< N, 2 >::value > const &parameters)
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::SphericalParametrization< T, N >::get_normal (Vector< T, dimension_const< N, 2 >::value > const &parameters) const
KOKKOS_INLINE_FUNCTION T	minitensor::SphericalParametrization< T, N >::get_minimum () const
KOKKOS_INLINE_FUNCTION T	minitensor::SphericalParametrization< T, N >::get_maximum () const
KOKKOS_INLINE_FUNCTION Vector< T, 2 >	minitensor::SphericalParametrization< T, N >::get_arg_minimum () const
KOKKOS_INLINE_FUNCTION Vector< T, 2 >	minitensor::SphericalParametrization< T, N >::get_arg_maximum () const
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::SphericalParametrization< T, N >::get_normal_minimum () const
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::SphericalParametrization< T, N >::get_normal_maximum () const
KOKKOS_INLINE_FUNCTION	minitensor::StereographicParametrization< T, N >::StereographicParametrization (Tensor4< T, N > const &A)
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::StereographicParametrization< T, N >::get_normal (Vector< T, dimension_const< N, 2 >::value > const &parameters) const
KOKKOS_INLINE_FUNCTION void	minitensor::StereographicParametrization< T, N >::operator() (Vector< T, dimension_const< N, 2 >::value > const &parameters)
KOKKOS_INLINE_FUNCTION T	minitensor::StereographicParametrization< T, N >::get_minimum () const
KOKKOS_INLINE_FUNCTION T	minitensor::StereographicParametrization< T, N >::get_maximum () const
KOKKOS_INLINE_FUNCTION Vector< T, 2 >	minitensor::StereographicParametrization< T, N >::get_arg_minimum () const
KOKKOS_INLINE_FUNCTION Vector< T, 2 >	minitensor::StereographicParametrization< T, N >::get_arg_maximum () const
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::StereographicParametrization< T, N >::get_normal_minimum () const
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::StereographicParametrization< T, N >::get_normal_maximum () const
KOKKOS_INLINE_FUNCTION	minitensor::ProjectiveParametrization< T, N >::ProjectiveParametrization (Tensor4< T, N > const &A)
KOKKOS_INLINE_FUNCTION void	minitensor::ProjectiveParametrization< T, N >::operator() (Vector< T, dimension_const< N, 3 >::value > const &parameters)
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::ProjectiveParametrization< T, N >::get_normal (Vector< T, dimension_const< N, 3 >::value > const &parameters) const
KOKKOS_INLINE_FUNCTION T	minitensor::ProjectiveParametrization< T, N >::get_minimum () const
KOKKOS_INLINE_FUNCTION T	minitensor::ProjectiveParametrization< T, N >::get_maximum () const
KOKKOS_INLINE_FUNCTION Vector< T, 3 >	minitensor::ProjectiveParametrization< T, N >::get_arg_minimum () const
KOKKOS_INLINE_FUNCTION Vector< T, 3 >	minitensor::ProjectiveParametrization< T, N >::get_arg_maximum () const
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::ProjectiveParametrization< T, N >::get_normal_minimum () const
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::ProjectiveParametrization< T, N >::get_normal_maximum () const
KOKKOS_INLINE_FUNCTION	minitensor::TangentParametrization< T, N >::TangentParametrization (Tensor4< T, N > const &A)
KOKKOS_INLINE_FUNCTION void	minitensor::TangentParametrization< T, N >::operator() (Vector< T, dimension_const< N, 2 >::value > const &parameters)
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::TangentParametrization< T, N >::get_normal (Vector< T, dimension_const< N, 2 >::value > const &parameters) const
KOKKOS_INLINE_FUNCTION T	minitensor::TangentParametrization< T, N >::get_minimum () const
KOKKOS_INLINE_FUNCTION T	minitensor::TangentParametrization< T, N >::get_maximum () const
KOKKOS_INLINE_FUNCTION Vector< T, 2 >	minitensor::TangentParametrization< T, N >::get_arg_minimum () const
KOKKOS_INLINE_FUNCTION Vector< T, 2 >	minitensor::TangentParametrization< T, N >::get_arg_maximum () const
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::TangentParametrization< T, N >::get_normal_minimum () const
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::TangentParametrization< T, N >::get_normal_maximum () const
KOKKOS_INLINE_FUNCTION	minitensor::CartesianParametrization< T, N >::CartesianParametrization (Tensor4< T, N > const &A)
KOKKOS_INLINE_FUNCTION void	minitensor::CartesianParametrization< T, N >::operator() (Vector< T, dimension_const< N, 3 >::value > const &parameters)
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::CartesianParametrization< T, N >::get_normal (Vector< T, dimension_const< N, 3 >::value > const &parameters) const
KOKKOS_INLINE_FUNCTION T	minitensor::CartesianParametrization< T, N >::get_minimum () const
KOKKOS_INLINE_FUNCTION T	minitensor::CartesianParametrization< T, N >::get_maximum () const
KOKKOS_INLINE_FUNCTION Vector< T, 3 >	minitensor::CartesianParametrization< T, N >::get_arg_minimum () const
KOKKOS_INLINE_FUNCTION Vector< T, 3 >	minitensor::CartesianParametrization< T, N >::get_arg_maximum () const
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::CartesianParametrization< T, N >::get_normal_minimum () const
KOKKOS_INLINE_FUNCTION Vector< T, N >	minitensor::CartesianParametrization< T, N >::get_normal_maximum () const
KOKKOS_INLINE_FUNCTION	minitensor::ParametricGrid< T, N >::ParametricGrid ()
KOKKOS_INLINE_FUNCTION	minitensor::ParametricGrid< T, N >::ParametricGrid (Vector< T, N > const &lower, Vector< T, N > const &upper, Vector< Index, N > const &points_per_dimension)
template<typename Visitor >
KOKKOS_INLINE_FUNCTION void	minitensor::ParametricGrid< T, N >::traverse (Visitor &visitor) const

Variables
Tensor4< T, N > const &	minitensor::SphericalParametrization< T, N >::tangent_
T	minitensor::SphericalParametrization< T, N >::minimum_
Vector< T, 2 >	minitensor::SphericalParametrization< T, N >::arg_minimum_
T	minitensor::SphericalParametrization< T, N >::maximum_
Vector< T, 2 >	minitensor::SphericalParametrization< T, N >::arg_maximum_
Tensor4< T, N > const &	minitensor::StereographicParametrization< T, N >::tangent_
T	minitensor::StereographicParametrization< T, N >::minimum_
Vector< T, 2 >	minitensor::StereographicParametrization< T, N >::arg_minimum_
T	minitensor::StereographicParametrization< T, N >::maximum_
Vector< T, 2 >	minitensor::StereographicParametrization< T, N >::arg_maximum_
Tensor4< T, N > const &	minitensor::ProjectiveParametrization< T, N >::tangent_
T	minitensor::ProjectiveParametrization< T, N >::minimum_
Vector< T, 3 >	minitensor::ProjectiveParametrization< T, N >::arg_minimum_
T	minitensor::ProjectiveParametrization< T, N >::maximum_
Vector< T, 3 >	minitensor::ProjectiveParametrization< T, N >::arg_maximum_
Tensor4< T, N > const &	minitensor::TangentParametrization< T, N >::tangent_
T	minitensor::TangentParametrization< T, N >::minimum_
Vector< T, 2 >	minitensor::TangentParametrization< T, N >::arg_minimum_
T	minitensor::TangentParametrization< T, N >::maximum_
Vector< T, 2 >	minitensor::TangentParametrization< T, N >::arg_maximum_
Tensor4< T, N > const &	minitensor::CartesianParametrization< T, N >::tangent_
T	minitensor::CartesianParametrization< T, N >::minimum_
Vector< T, 3 >	minitensor::CartesianParametrization< T, N >::arg_minimum_
T	minitensor::CartesianParametrization< T, N >::maximum_
Vector< T, 3 >	minitensor::CartesianParametrization< T, N >::arg_maximum_
Vector< T, N >	minitensor::ParametricGrid< T, N >::lower_
Vector< T, N >	minitensor::ParametricGrid< T, N >::upper_
Vector< Index, N >	minitensor::ParametricGrid< T, N >::points_per_dimension_

Detailed Description

Lengths, areas, volumes and centroids of finite-element shapes, and related parametrization utilities.

Enumeration Type Documentation

Type

enum minitensor::ELEMENT::Type

Finite element types.

Enumerator
UNKNOWN
SEGMENTAL
TRIANGULAR
QUADRILATERAL
TETRAHEDRAL
HEXAHEDRAL

Definition at line 29 of file MiniTensor_Geometry.h.

Function Documentation

length()

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION T minitensor::length	(	Vector< T, N > const &	p0,
		Vector< T, N > const &	p1
	)

Length of a segment

Definition at line 1558 of file MiniTensor_Geometry.h.

area() [1/2]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION T minitensor::area	(	Vector< T, N > const &	p0,
		Vector< T, N > const &	p1,
		Vector< T, N > const &	p2
	)

Area of a triangle

Definition at line 1569 of file MiniTensor_Geometry.h.

area() [2/2]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION T minitensor::area	(	Vector< T, N > const &	p0,
		Vector< T, N > const &	p1,
		Vector< T, N > const &	p2,
		Vector< T, N > const &	p3
	)

Area of a quadrilateral. Taken from: Calculation of the volume of a general hexahedron for flow predictions Davies, D. E.; Salmond, D. J. AIAA Journal (ISSN 0001-1452), vol. 23, June 1985, p. 954-956. Their vertex naming convention: ABCD Our convention: 0123

Definition at line 1592 of file MiniTensor_Geometry.h.

volume() [1/2]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION T minitensor::volume	(	Vector< T, N > const &	p0,
		Vector< T, N > const &	p1,
		Vector< T, N > const &	p2,
		Vector< T, N > const &	p3
	)

Volume of tetrahedron

Definition at line 1610 of file MiniTensor_Geometry.h.

volume() [2/2]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION T minitensor::volume	(	Vector< T, N > const &	p0,
		Vector< T, N > const &	p1,
		Vector< T, N > const &	p2,
		Vector< T, N > const &	p3,
		Vector< T, N > const &	p4,
		Vector< T, N > const &	p5,
		Vector< T, N > const &	p6,
		Vector< T, N > const &	p7
	)

Volume of hexahedron Taken from: Calculation of the volume of a general hexahedron for flow predictions Davies, D. E.; Salmond, D. J. AIAA Journal (ISSN 0001-1452), vol. 23, June 1985, p. 954-956. Their vertex naming convention: ABCDEFGH Our convention: 45670123

Definition at line 1634 of file MiniTensor_Geometry.h.

centroid()

template<typename T , Index N>

Vector< T, N > minitensor::centroid

(

std::vector< Vector< T, N > > const &

points

)

Centroids of segment, triangle, tetrahedron, quadrilateral and hexahedron. For these we can just take the average of the vertices. WARNING: This is not the center of mass.

Definition at line 1684 of file MiniTensor_Geometry.h.

normal()

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::normal	(	Vector< T, N > const &	p0,
		Vector< T, N > const &	p1,
		Vector< T, N > const &	p2
	)

The surface normal of a face Input: 3 independent nodes on the face Output: normal vector

Definition at line 1705 of file MiniTensor_Geometry.h.

in_normal_side()

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION bool minitensor::in_normal_side	(	Vector< T, N > const &	p,
		Vector< T, N > const &	p0,
		Vector< T, N > const &	p1,
		Vector< T, N > const &	p2,
		T const	tolerance = 0
	)

Given 3 points p0, p1, p2 that define a plane determine if point p is in the same side of the normal to the plane as defined by the right hand rule. If a tolrance is given, use that as criterion for minimal distance.

Definition at line 1726 of file MiniTensor_Geometry.h.

bounding_box() [1/2]

template<typename T , typename I , Index N>

KOKKOS_INLINE_FUNCTION std::pair< Vector< T, N >, Vector< T, N > > minitensor::bounding_box	(	I	start,
		I	end
	)

Given two iterators to a container of points, find the associated bounding box.

Parameters

start	iterator that begins the sequence of points
end	iterator that ends the sequence of points

Returns

vectors that define the bounding box

Definition at line 1755 of file MiniTensor_Geometry.h.

bounding_box() [2/2]

template<typename T , typename I >

KOKKOS_INLINE_FUNCTION std::pair< Vector< T, DYNAMIC >, Vector< T, DYNAMIC > > minitensor::bounding_box	(	I	start,
		I	end
	)

Bounding box of a sequence of points.

Definition at line 1793 of file MiniTensor_Geometry.h.

in_box()

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION bool minitensor::in_box	(	Vector< T, N > const &	p,
		Vector< T, N > const &	min,
		Vector< T, N > const &	max
	)

Determine if a given point is inside a bounding box.

Parameters

p	the point
min	lower corner of the box
max	upper corner of the box

Returns

whether the point is inside

Definition at line 1807 of file MiniTensor_Geometry.h.

random_in_box()

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::random_in_box	(	Vector< T, N > const &	min,
		Vector< T, N > const &	max
	)

Generate random point inside bounding box

Parameters

min	lower corner of the bounding box
max	upper corner of the bounding box

Returns

p point inside box

Definition at line 1835 of file MiniTensor_Geometry.h.

in_tetrahedron()

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION bool minitensor::in_tetrahedron	(	Vector< T, N > const &	p,
		Vector< T, N > const &	p0,
		Vector< T, N > const &	p1,
		Vector< T, N > const &	p2,
		Vector< T, N > const &	p3,
		T const	tolerance = 0
	)

Given 4 points p0, p1, p2, p3 that define a tetrahedron determine if point p is inside it. If a tolrance is given, use that as criterion for minimal distance.

Definition at line 1858 of file MiniTensor_Geometry.h.

in_hexahedron()

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION bool minitensor::in_hexahedron	(	Vector< T, N > const &	p,
		Vector< T, N > const &	p0,
		Vector< T, N > const &	p1,
		Vector< T, N > const &	p2,
		Vector< T, N > const &	p3,
		Vector< T, N > const &	p4,
		Vector< T, N > const &	p5,
		Vector< T, N > const &	p6,
		Vector< T, N > const &	p7,
		T const	tolerance = 0
	)

Given 8 points that define a hexahedron determine if point p is inside it. Assumption: faces are planar If a tolrance is given, use that as criterion for minimal distance.

Definition at line 1882 of file MiniTensor_Geometry.h.

closest_point()

template<typename T , Index N>

std::vector< Vector< T, N > >::size_type minitensor::closest_point	(	Vector< T, N > const &	p,
		std::vector< Vector< T, N > > const &	n
	)

Closest point

Parameters

p	the point
n	vector of points to test

Returns

index to closest point

Definition at line 1912 of file MiniTensor_Geometry.h.

median()

template<typename T , typename Iterator >

KOKKOS_INLINE_FUNCTION T minitensor::median	(	Iterator	begin,
		Iterator	end
	)

Median of a sequence defined by random access iterators. Undefined for empty set.

Parameters

begin	iterator that begins the sequence
end	iterator that ends the sequence

Returns

median of sequence

Definition at line 1953 of file MiniTensor_Geometry.h.

interpolate_quadrilateral()

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::interpolate_quadrilateral	(	Vector< T, dimension_const< N, 2 >::value > &	xi,
		Vector< T, N > const &	p0,
		Vector< T, N > const &	p1,
		Vector< T, N > const &	p2,
		Vector< T, N > const &	p3
	)

Given quadrilateral nodes and a position in parametric coordinates, interpolate.

Parameters

xi	position in parametric coordinates
p0	corner node
p1	corner node
p2	corner node
p3	corner node

Returns

interpolated position

Definition at line 2007 of file MiniTensor_Geometry.h.

interpolate_triangle()

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::interpolate_triangle	(	Vector< T, dimension_const< N, 3 >::value > &	xi,
		Vector< T, N > const &	p0,
		Vector< T, N > const &	p1,
		Vector< T, N > const &	p2
	)

Given triangle nodes and a position in parametric coordinates, interpolate.

Parameters

xi	position in parametric coordinates
p0	corner node
p1	corner node
p2	corner node

Returns

interpolated position

Definition at line 2043 of file MiniTensor_Geometry.h.

interpolate_hexahedron()

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::interpolate_hexahedron	(	Vector< T, dimension_const< N, 3 >::value > &	xi,
		Vector< T, N > const &	p0,
		Vector< T, N > const &	p1,
		Vector< T, N > const &	p2,
		Vector< T, N > const &	p3,
		Vector< T, N > const &	p4,
		Vector< T, N > const &	p5,
		Vector< T, N > const &	p6,
		Vector< T, N > const &	p7
	)

Given hexahedron nodes and a position in parametric coordinates, interpolate.

Parameters

xi	position in parametric coordinates
p0	corner node
p1	corner node
p2	corner node
p3	corner node
p4	corner node
p5	corner node
p6	corner node
p7	corner node

Returns

interpolated position

Definition at line 2067 of file MiniTensor_Geometry.h.

interpolate_tetrahedron()

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::interpolate_tetrahedron	(	Vector< T, dimension_const< N, 4 >::value > &	xi,
		Vector< T, N > const &	p0,
		Vector< T, N > const &	p1,
		Vector< T, N > const &	p2,
		Vector< T, N > const &	p3
	)

Given tetrahedron nodes and a position in parametric coordinates, interpolate.

Parameters

xi	position in parametric coordinates
p0	corner node
p1	corner node
p2	corner node
p3	corner node

Returns

interpolated position

Definition at line 2121 of file MiniTensor_Geometry.h.

interpolate_element()

template<typename T , Index M, Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::interpolate_element	(	ELEMENT::Type	element_type,
		Vector< T, M > &	xi,
		std::vector< Vector< T, N > > const &	v
	)

Given element type and nodes and a position in parametric coordinates, interpolate.

Parameters

element_type	element type
xi	position in parametric coordinates
v	... corner nodes

Returns

interpolated position

Definition at line 2147 of file MiniTensor_Geometry.h.

distance_matrix()

template<typename T , Index N>

std::vector< std::vector< T > > minitensor::distance_matrix

(

std::vector< Vector< T, N > > const &

points

)

Given a vector of points, determine distances between all of them.

Parameters

points

vector of points

Returns

distance matrix

Definition at line 2190 of file MiniTensor_Geometry.h.

minimum_distances()

template<typename T >

std::vector< T > minitensor::minimum_distances

(

std::vector< std::vector< T > > const &

distances

)

Given a distance matrix, determine the minimum distance between two distinct points.

Parameters

distances

distance matrix

Returns

minimum distance

Definition at line 2227 of file MiniTensor_Geometry.h.

find_type()

KOKKOS_INLINE_FUNCTION ELEMENT::Type minitensor::find_type	(	Index const	dimension,
		Index const	number_nodes
	)

Given space dimension and number of (vertex) nodes, determine the type of a finite element.

Definition at line 1015 of file MiniTensor_Geometry.h.

SphericalParametrization()

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION minitensor::SphericalParametrization< T, N >::SphericalParametrization

(

Tensor4< T, N > const &

A

)

Constructor that takes material tangent

Parameters

A	material tangent (fourth-order tensor)

Definition at line 1052 of file MiniTensor_Geometry.h.

operator()() [1/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION void minitensor::SphericalParametrization< T, N >::operator()

(

Vector< T, dimension_const< N, 2 >::value > const &

parameters

)

Evaluate the localization determinant for the normal defined by the spherical angles and update the extrema found so far.

Parameters

parameters

spherical angles (phi, theta)

Definition at line 1093 of file MiniTensor_Geometry.h.

get_normal() [1/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::SphericalParametrization< T, N >::get_normal

(

Vector< T, dimension_const< N, 2 >::value > const &

parameters

)

const

Unit normal for the given spherical angles.

Parameters

parameters

spherical angles (phi, theta)

Returns

unit normal on the sphere

Definition at line 1071 of file MiniTensor_Geometry.h.

get_minimum() [1/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION T minitensor::SphericalParametrization< T, N >::get_minimum ( ) const

inline

Smallest localization determinant found so far.

Definition at line 406 of file MiniTensor_Geometry.h.

get_maximum() [1/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION T minitensor::SphericalParametrization< T, N >::get_maximum ( ) const

inline

Largest localization determinant found so far.

Definition at line 413 of file MiniTensor_Geometry.h.

get_arg_minimum() [1/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, 2 > minitensor::SphericalParametrization< T, N >::get_arg_minimum ( ) const

inline

Parameters at which the minimum determinant occurs.

Definition at line 420 of file MiniTensor_Geometry.h.

get_arg_maximum() [1/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, 2 > minitensor::SphericalParametrization< T, N >::get_arg_maximum ( ) const

inline

Parameters at which the maximum determinant occurs.

Definition at line 427 of file MiniTensor_Geometry.h.

get_normal_minimum() [1/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::SphericalParametrization< T, N >::get_normal_minimum ( ) const

inline

Normal at which the minimum determinant occurs.

Definition at line 434 of file MiniTensor_Geometry.h.

get_normal_maximum() [1/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::SphericalParametrization< T, N >::get_normal_maximum ( ) const

inline

Normal at which the maximum determinant occurs.

Definition at line 441 of file MiniTensor_Geometry.h.

StereographicParametrization()

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION minitensor::StereographicParametrization< T, N >::StereographicParametrization

(

Tensor4< T, N > const &

A

)

Constructor that takes material tangent

Parameters

A	material tangent (fourth-order tensor)

Definition at line 1127 of file MiniTensor_Geometry.h.

get_normal() [2/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::StereographicParametrization< T, N >::get_normal

(

Vector< T, dimension_const< N, 2 >::value > const &

parameters

)

const

Unit normal from the inverse stereographic projection.

Parameters

parameters

stereographic projection coordinates (x, y)

Returns

unit normal on the sphere

Definition at line 1146 of file MiniTensor_Geometry.h.

operator()() [2/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION void minitensor::StereographicParametrization< T, N >::operator()

(

Vector< T, dimension_const< N, 2 >::value > const &

parameters

)

Evaluate the localization determinant for the normal defined by the stereographic coordinates and update the extrema found so far.

Parameters

parameters

stereographic projection coordinates (x, y)

Definition at line 1173 of file MiniTensor_Geometry.h.

get_minimum() [2/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION T minitensor::StereographicParametrization< T, N >::get_minimum ( ) const

inline

Smallest localization determinant found so far.

Definition at line 514 of file MiniTensor_Geometry.h.

get_maximum() [2/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION T minitensor::StereographicParametrization< T, N >::get_maximum ( ) const

inline

Largest localization determinant found so far.

Definition at line 521 of file MiniTensor_Geometry.h.

get_arg_minimum() [2/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, 2 > minitensor::StereographicParametrization< T, N >::get_arg_minimum ( ) const

inline

Parameters at which the minimum determinant occurs.

Definition at line 528 of file MiniTensor_Geometry.h.

get_arg_maximum() [2/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, 2 > minitensor::StereographicParametrization< T, N >::get_arg_maximum ( ) const

inline

Parameters at which the maximum determinant occurs.

Definition at line 535 of file MiniTensor_Geometry.h.

get_normal_minimum() [2/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::StereographicParametrization< T, N >::get_normal_minimum ( ) const

inline

Normal at which the minimum determinant occurs.

Definition at line 542 of file MiniTensor_Geometry.h.

get_normal_maximum() [2/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::StereographicParametrization< T, N >::get_normal_maximum ( ) const

inline

Normal at which the maximum determinant occurs.

Definition at line 549 of file MiniTensor_Geometry.h.

ProjectiveParametrization()

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION minitensor::ProjectiveParametrization< T, N >::ProjectiveParametrization

(

Tensor4< T, N > const &

A

)

Constructor that takes material tangent

Definition at line 1207 of file MiniTensor_Geometry.h.

operator()() [3/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION void minitensor::ProjectiveParametrization< T, N >::operator()

(

Vector< T, dimension_const< N, 3 >::value > const &

parameters

)

Evaluate the localization determinant for the normal defined by the projective coordinates and update the extrema found so far.

Parameters

parameters

homogeneous (projective) coordinates (x, y, z)

Definition at line 1260 of file MiniTensor_Geometry.h.

get_normal() [3/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::ProjectiveParametrization< T, N >::get_normal

(

Vector< T, dimension_const< N, 3 >::value > const &

parameters

)

const

Normalized normal for the given homogeneous coordinates.

Parameters

parameters

homogeneous (projective) coordinates (x, y, z)

Returns

unit normal, or (1, 1, 1) for the zero vector

Definition at line 1226 of file MiniTensor_Geometry.h.

get_minimum() [3/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION T minitensor::ProjectiveParametrization< T, N >::get_minimum ( ) const

inline

Smallest localization determinant found so far.

Definition at line 621 of file MiniTensor_Geometry.h.

get_maximum() [3/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION T minitensor::ProjectiveParametrization< T, N >::get_maximum ( ) const

inline

Largest localization determinant found so far.

Definition at line 628 of file MiniTensor_Geometry.h.

get_arg_minimum() [3/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, 3 > minitensor::ProjectiveParametrization< T, N >::get_arg_minimum ( ) const

inline

Parameters at which the minimum determinant occurs.

Definition at line 635 of file MiniTensor_Geometry.h.

get_arg_maximum() [3/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, 3 > minitensor::ProjectiveParametrization< T, N >::get_arg_maximum ( ) const

inline

Parameters at which the maximum determinant occurs.

Definition at line 642 of file MiniTensor_Geometry.h.

get_normal_minimum() [3/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::ProjectiveParametrization< T, N >::get_normal_minimum ( ) const

inline

Normal at which the minimum determinant occurs.

Definition at line 649 of file MiniTensor_Geometry.h.

get_normal_maximum() [3/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::ProjectiveParametrization< T, N >::get_normal_maximum ( ) const

inline

Normal at which the maximum determinant occurs.

Definition at line 656 of file MiniTensor_Geometry.h.

TangentParametrization()

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION minitensor::TangentParametrization< T, N >::TangentParametrization

(

Tensor4< T, N > const &

A

)

Constructor that takes material tangent

Definition at line 1294 of file MiniTensor_Geometry.h.

operator()() [4/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION void minitensor::TangentParametrization< T, N >::operator()

(

Vector< T, dimension_const< N, 2 >::value > const &

parameters

)

Evaluate the localization determinant for the normal defined by the tangent coordinates and update the extrema found so far.

Parameters

parameters

tangent coordinates (x, y)

Definition at line 1346 of file MiniTensor_Geometry.h.

get_normal() [4/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::TangentParametrization< T, N >::get_normal

(

Vector< T, dimension_const< N, 2 >::value > const &

parameters

)

const

Unit normal from the exponential map of the tangent coordinates.

Parameters

parameters

tangent coordinates (x, y)

Returns

unit normal on the sphere

Definition at line 1313 of file MiniTensor_Geometry.h.

get_minimum() [4/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION T minitensor::TangentParametrization< T, N >::get_minimum ( ) const

inline

Smallest localization determinant found so far.

Definition at line 729 of file MiniTensor_Geometry.h.

get_maximum() [4/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION T minitensor::TangentParametrization< T, N >::get_maximum ( ) const

inline

Largest localization determinant found so far.

Definition at line 736 of file MiniTensor_Geometry.h.

get_arg_minimum() [4/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, 2 > minitensor::TangentParametrization< T, N >::get_arg_minimum ( ) const

inline

Parameters at which the minimum determinant occurs.

Definition at line 743 of file MiniTensor_Geometry.h.

get_arg_maximum() [4/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, 2 > minitensor::TangentParametrization< T, N >::get_arg_maximum ( ) const

inline

Parameters at which the maximum determinant occurs.

Definition at line 750 of file MiniTensor_Geometry.h.

get_normal_minimum() [4/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::TangentParametrization< T, N >::get_normal_minimum ( ) const

inline

Normal at which the minimum determinant occurs.

Definition at line 757 of file MiniTensor_Geometry.h.

get_normal_maximum() [4/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::TangentParametrization< T, N >::get_normal_maximum ( ) const

inline

Normal at which the maximum determinant occurs.

Definition at line 764 of file MiniTensor_Geometry.h.

CartesianParametrization()

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION minitensor::CartesianParametrization< T, N >::CartesianParametrization

(

Tensor4< T, N > const &

A

)

Constructor that takes material tangent

Parameters

A	material tangent (fourth-order tensor)

Definition at line 1380 of file MiniTensor_Geometry.h.

operator()() [5/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION void minitensor::CartesianParametrization< T, N >::operator()

(

Vector< T, dimension_const< N, 3 >::value > const &

parameters

)

Evaluate the localization determinant for the normal defined by the Cartesian coordinates and update the extrema found so far.

Parameters

parameters

Cartesian components (x, y, z)

Definition at line 1424 of file MiniTensor_Geometry.h.

get_normal() [5/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::CartesianParametrization< T, N >::get_normal

(

Vector< T, dimension_const< N, 3 >::value > const &

parameters

)

const

Normal formed directly from the Cartesian components. Note: not normalized.

Parameters

parameters

Cartesian components (x, y, z)

Returns

normal vector (x, y, z)

Definition at line 1399 of file MiniTensor_Geometry.h.

get_minimum() [5/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION T minitensor::CartesianParametrization< T, N >::get_minimum ( ) const

inline

Smallest localization determinant found so far.

Definition at line 838 of file MiniTensor_Geometry.h.

get_maximum() [5/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION T minitensor::CartesianParametrization< T, N >::get_maximum ( ) const

inline

Largest localization determinant found so far.

Definition at line 845 of file MiniTensor_Geometry.h.

get_arg_minimum() [5/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, 3 > minitensor::CartesianParametrization< T, N >::get_arg_minimum ( ) const

inline

Parameters at which the minimum determinant occurs.

Definition at line 852 of file MiniTensor_Geometry.h.

get_arg_maximum() [5/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, 3 > minitensor::CartesianParametrization< T, N >::get_arg_maximum ( ) const

inline

Parameters at which the maximum determinant occurs.

Definition at line 859 of file MiniTensor_Geometry.h.

get_normal_minimum() [5/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::CartesianParametrization< T, N >::get_normal_minimum ( ) const

inline

Normal at which the minimum determinant occurs.

Definition at line 866 of file MiniTensor_Geometry.h.

get_normal_maximum() [5/5]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION Vector< T, N > minitensor::CartesianParametrization< T, N >::get_normal_maximum ( ) const

inline

Normal at which the maximum determinant occurs.

Definition at line 873 of file MiniTensor_Geometry.h.

ParametricGrid() [1/2]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION minitensor::ParametricGrid< T, N >::ParametricGrid ( )

inline

Default constructor

Definition at line 921 of file MiniTensor_Geometry.h.

ParametricGrid() [2/2]

template<typename T , Index N>

KOKKOS_INLINE_FUNCTION minitensor::ParametricGrid< T, N >::ParametricGrid	(	Vector< T, N > const &	lower,
		Vector< T, N > const &	upper,
		Vector< Index, N > const &	points_per_dimension
	)

Constructor that defines grid limits

Parameters

lower	lower limit
upper	upper limit
points_per_dimension	number of points in each dimension

Definition at line 1456 of file MiniTensor_Geometry.h.

traverse()

template<typename T , Index N>

template<typename Visitor >

KOKKOS_INLINE_FUNCTION void minitensor::ParametricGrid< T, N >::traverse

(

Visitor &

visitor

)

const

Traverse the grid, applying the visitor to each grid point.

Parameters

visitor

functor to apply at each grid point

Definition at line 1478 of file MiniTensor_Geometry.h.

Variable Documentation

tangent_ [1/5]

template<typename T , Index N>

Tensor4<T, N> const& minitensor::SphericalParametrization< T, N >::tangent_

private

Material tangent

Definition at line 449 of file MiniTensor_Geometry.h.

minimum_ [1/5]

template<typename T , Index N>

T minitensor::SphericalParametrization< T, N >::minimum_

private

Minimum of the localization determinant

Definition at line 455 of file MiniTensor_Geometry.h.

arg_minimum_ [1/5]

template<typename T , Index N>

Vector<T, 2> minitensor::SphericalParametrization< T, N >::arg_minimum_

private

Parameters of the minimum

Definition at line 461 of file MiniTensor_Geometry.h.

maximum_ [1/5]

template<typename T , Index N>

T minitensor::SphericalParametrization< T, N >::maximum_

private

Maximum of the localization determinant

Definition at line 467 of file MiniTensor_Geometry.h.

arg_maximum_ [1/5]

template<typename T , Index N>

Vector<T, 2> minitensor::SphericalParametrization< T, N >::arg_maximum_

private

Parameters of the maximum

Definition at line 473 of file MiniTensor_Geometry.h.

tangent_ [2/5]

template<typename T , Index N>

Tensor4<T, N> const& minitensor::StereographicParametrization< T, N >::tangent_

private

Material tangent

Definition at line 557 of file MiniTensor_Geometry.h.

minimum_ [2/5]

template<typename T , Index N>

T minitensor::StereographicParametrization< T, N >::minimum_

private

Minimum of the localization determinant

Definition at line 563 of file MiniTensor_Geometry.h.

arg_minimum_ [2/5]

template<typename T , Index N>

Vector<T, 2> minitensor::StereographicParametrization< T, N >::arg_minimum_

private

Parameters of the minimum

Definition at line 569 of file MiniTensor_Geometry.h.

maximum_ [2/5]

template<typename T , Index N>

T minitensor::StereographicParametrization< T, N >::maximum_

private

Maximum of the localization determinant

Definition at line 575 of file MiniTensor_Geometry.h.

arg_maximum_ [2/5]

template<typename T , Index N>

Vector<T, 2> minitensor::StereographicParametrization< T, N >::arg_maximum_

private

Parameters of the maximum

Definition at line 581 of file MiniTensor_Geometry.h.

tangent_ [3/5]

template<typename T , Index N>

Tensor4<T, N> const& minitensor::ProjectiveParametrization< T, N >::tangent_

private

Material tangent

Definition at line 664 of file MiniTensor_Geometry.h.

minimum_ [3/5]

template<typename T , Index N>

T minitensor::ProjectiveParametrization< T, N >::minimum_

private

Minimum of the localization determinant

Definition at line 670 of file MiniTensor_Geometry.h.

arg_minimum_ [3/5]

template<typename T , Index N>

Vector<T, 3> minitensor::ProjectiveParametrization< T, N >::arg_minimum_

private

Parameters of the minimum

Definition at line 676 of file MiniTensor_Geometry.h.

maximum_ [3/5]

template<typename T , Index N>

T minitensor::ProjectiveParametrization< T, N >::maximum_

private

Maximum of the localization determinant

Definition at line 682 of file MiniTensor_Geometry.h.

arg_maximum_ [3/5]

template<typename T , Index N>

Vector<T, 3> minitensor::ProjectiveParametrization< T, N >::arg_maximum_

private

Parameters of the maximum

Definition at line 688 of file MiniTensor_Geometry.h.

tangent_ [4/5]

template<typename T , Index N>

Tensor4<T, N> const& minitensor::TangentParametrization< T, N >::tangent_

private

Material tangent

Definition at line 772 of file MiniTensor_Geometry.h.

minimum_ [4/5]

template<typename T , Index N>

T minitensor::TangentParametrization< T, N >::minimum_

private

Minimum of the localization determinant

Definition at line 778 of file MiniTensor_Geometry.h.

arg_minimum_ [4/5]

template<typename T , Index N>

Vector<T, 2> minitensor::TangentParametrization< T, N >::arg_minimum_

private

Parameters of the minimum

Definition at line 784 of file MiniTensor_Geometry.h.

maximum_ [4/5]

template<typename T , Index N>

T minitensor::TangentParametrization< T, N >::maximum_

private

Maximum of the localization determinant

Definition at line 790 of file MiniTensor_Geometry.h.

arg_maximum_ [4/5]

template<typename T , Index N>

Vector<T, 2> minitensor::TangentParametrization< T, N >::arg_maximum_

private

Parameters of the maximum

Definition at line 796 of file MiniTensor_Geometry.h.

tangent_ [5/5]

template<typename T , Index N>

Tensor4<T, N> const& minitensor::CartesianParametrization< T, N >::tangent_

private

Material tangent

Definition at line 881 of file MiniTensor_Geometry.h.

minimum_ [5/5]

template<typename T , Index N>

T minitensor::CartesianParametrization< T, N >::minimum_

private

Minimum of the localization determinant

Definition at line 887 of file MiniTensor_Geometry.h.

arg_minimum_ [5/5]

template<typename T , Index N>

Vector<T, 3> minitensor::CartesianParametrization< T, N >::arg_minimum_

private

Parameters of the minimum

Definition at line 893 of file MiniTensor_Geometry.h.

maximum_ [5/5]

template<typename T , Index N>

T minitensor::CartesianParametrization< T, N >::maximum_

private

Maximum of the localization determinant

Definition at line 899 of file MiniTensor_Geometry.h.

arg_maximum_ [5/5]

template<typename T , Index N>

Vector<T, 3> minitensor::CartesianParametrization< T, N >::arg_maximum_

private

Parameters of the maximum

Definition at line 905 of file MiniTensor_Geometry.h.

lower_

template<typename T , Index N>

Vector<T, N> minitensor::ParametricGrid< T, N >::lower_

private

Lower limits of the grid

Definition at line 950 of file MiniTensor_Geometry.h.

upper_

template<typename T , Index N>

Vector<T, N> minitensor::ParametricGrid< T, N >::upper_

private

Upper limits of the grid

Definition at line 956 of file MiniTensor_Geometry.h.

points_per_dimension_

template<typename T , Index N>

Vector<Index, N> minitensor::ParametricGrid< T, N >::points_per_dimension_

private

Number of grid points in each dimension

Definition at line 962 of file MiniTensor_Geometry.h.