sofa::geometry::Hexahedron Struct Reference

#include <Hexahedron.h>

Static Public Attributes
static constexpr sofa::Size	NumberOfNodes = 8

Public Member Functions
	Hexahedron ()=delete

Static Public Member Functions
template<typename Node , typename T = std::decay_t<decltype(*std::begin(std::declval<Node>()))>, typename = std::enable_if_t<std::is_scalar_v<T>>>
static constexpr auto	center (const Node &n0, const Node &n1, const Node &n2, const Node &n3, const Node &n4, const Node &n5, const Node &n6, const Node &n7)
	Compute the center of a hexahedron. More...
template<typename Node , typename T = std::decay_t<decltype(*std::begin(std::declval<Node>()))>, typename = std::enable_if_t<std::is_scalar_v<T>>>
static constexpr auto	barycentricCoefficients (const Node &n0, const Node &n1, const Node &n2, const Node &n3, const Node &n4, const Node &n5, const Node &n6, const Node &n7, const Node &pos)
	Compute the barycentric coefficients of a node in a hexahedron. More...
template<typename Node , typename T = std::decay_t<decltype(*std::begin(std::declval<Node>()))>, typename = std::enable_if_t<std::is_scalar_v<T>>>
static constexpr auto	squaredDistanceTo (const Node &n0, const Node &n1, const Node &n2, const Node &n3, const Node &n4, const Node &n5, const Node &n6, const Node &n7, const Node &pos)
	Compute the squared distance between a node and the center of a hexahedron. More...
template<typename Node , typename T = std::decay_t<decltype(*std::begin(std::declval<Node>()))>, typename = std::enable_if_t<std::is_scalar_v<T>>>
static constexpr auto	getPositionFromBarycentricCoefficients (const Node &n0, const Node &n1, const Node &n2, const Node &n3, const Node &n4, const Node &n5, const Node &n6, const Node &n7, const sofa::type::fixed_array< SReal, 3 > &baryC)
	Compute a position from a given set of barycentric coefficients and the associated hexahedron. More...
template<typename Node , typename T = std::decay_t<decltype(*std::begin(std::declval<Node>()))>, typename = std::enable_if_t<std::is_scalar_v<T>>>
static constexpr auto	volume (const Node &n0, const Node &n1, const Node &n2, const Node &n3, const Node &n4, const Node &n5, const Node &n6, const Node &n7)
	Compute the volume of a hexahedron. More...

Attribute details

NumberOfNodes

constexpr sofa::Size sofa::geometry::Hexahedron::NumberOfNodes = 8

staticconstexpr

Constructor details

Hexahedron()

sofa::geometry::Hexahedron::Hexahedron ( )

delete

Function details

barycentricCoefficients()

template<typename Node , typename T = std::decay_t<decltype(*std::begin(std::declval<Node>()))>, typename = std::enable_if_t<std::is_scalar_v<T>>>

static constexpr auto sofa::geometry::Hexahedron::barycentricCoefficients ( const Node &  n0, const Node &  n1, const Node &  n2, const Node &  n3, const Node &  n4, const Node &  n5, const Node &  n6, const Node &  n7, const Node &  pos  )

inlinestaticconstexpr

Compute the barycentric coefficients of a node in a hexahedron.

Remarks

Due to some optimizations, the order of nodes given as parameter is necessary.

Template Parameters

Node	iterable container, with operator[]
T	scalar

Parameters

n0,n1,n2,n3,n4,n5,n6,n7	nodes of the hexahedron
pos	position of the node from which the coefficients will be computed

Returns

A Vec3 container with the barycentric coefficients of the given node

center()

template<typename Node , typename T = std::decay_t<decltype(*std::begin(std::declval<Node>()))>, typename = std::enable_if_t<std::is_scalar_v<T>>>

static constexpr auto sofa::geometry::Hexahedron::center ( const Node &  n0, const Node &  n1, const Node &  n2, const Node &  n3, const Node &  n4, const Node &  n5, const Node &  n6, const Node &  n7  )

inlinestaticconstexpr

Compute the center of a hexahedron.

Remarks

The order of nodes given as parameter is not necessary.

Template Parameters

Node	iterable container, with operator[]
T	scalar

Parameters

n0,n1,n2,n3,n4,n5,n6,n7

nodes of the hexahedron

Returns

Center of the hexahedron (same type as the given nodes)

getPositionFromBarycentricCoefficients()

template<typename Node , typename T = std::decay_t<decltype(*std::begin(std::declval<Node>()))>, typename = std::enable_if_t<std::is_scalar_v<T>>>

static constexpr auto sofa::geometry::Hexahedron::getPositionFromBarycentricCoefficients ( const Node &  n0, const Node &  n1, const Node &  n2, const Node &  n3, const Node &  n4, const Node &  n5, const Node &  n6, const Node &  n7, const sofa::type::fixed_array< SReal, 3 > &  baryC  )

inlinestaticconstexpr

Compute a position from a given set of barycentric coefficients and the associated hexahedron.

Remarks

The order of nodes given as parameter is necessary.

Template Parameters

Node	iterable container, with operator* applicable with a scalar
T	scalar

Parameters

n0,n1,n2,n3,n4,n5,n6,n7	nodes of the hexahedron
baryC	barycentric coefficients

Returns

Position computed from the coefficients, as a Node type

squaredDistanceTo()

template<typename Node , typename T = std::decay_t<decltype(*std::begin(std::declval<Node>()))>, typename = std::enable_if_t<std::is_scalar_v<T>>>

static constexpr auto sofa::geometry::Hexahedron::squaredDistanceTo ( const Node &  n0, const Node &  n1, const Node &  n2, const Node &  n3, const Node &  n4, const Node &  n5, const Node &  n6, const Node &  n7, const Node &  pos  )

inlinestaticconstexpr

Compute the squared distance between a node and the center of a hexahedron.

Remarks

Due to some optimizations, the order of nodes given as parameter is necessary.

Template Parameters

Node	iterable container, with operator[]
T	scalar

Parameters

n0,n1,n2,n3,n4,n5,n6,n7	nodes of the hexahedron
pos	position of the node from which the distance will be computed

Returns

Distance from the node and the center of the hexahedron, as a T scalar

volume()

template<typename Node , typename T = std::decay_t<decltype(*std::begin(std::declval<Node>()))>, typename = std::enable_if_t<std::is_scalar_v<T>>>

static constexpr auto sofa::geometry::Hexahedron::volume ( const Node &  n0, const Node &  n1, const Node &  n2, const Node &  n3, const Node &  n4, const Node &  n5, const Node &  n6, const Node &  n7  )

inlinestaticconstexpr

Compute the volume of a hexahedron.

Remarks

non optimized version: just return the sum of the 6 inner-tetrahedra

Template Parameters

Node	iterable container
T	scalar

Parameters

n0,n1,n2,n3,n4,n5,n6,n7

nodes of the hexahedron

Returns

Volume of the hexahedron, as a T scalar