A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. This triangle with vertices A, B, and C is which can be accessed using vertex(...) More...

#include <Triangle.hpp>

Inheritance diagram for Triangle< t_dims, t_type, t_vertex >:

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Collaboration diagram for Triangle< t_dims, t_type, t_vertex >:

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Public Member Functions
template<class t_angle_type >
constexpr Angle< t_angle_type >	angle (TriangleLocation location) const

template<class t_angle_type >
constexpr Angle< t_angle_type >	angle (uint01 triangle_node) const

template<class t_area_type >
constexpr t_area_type	area () const

template<uint01 t_new_dims, class t_new_type >
constexpr Triangle< t_new_dims, t_new_type >	as () const

constexpr t_vertex	center () const

constexpr t_vertex	centroid () const

constexpr bool	contains (const t_vertex &vertex_point, t_type epsilon=t_type(0.0001)) const

constexpr bool	contains (const Vector< t_dims - 1, t_type > &p) const

constexpr LineSegment< t_dims, t_type, t_vertex >	edge (TriangleLocation location) const
	Edges the given location.

constexpr LineSegment< t_dims, t_type, t_vertex >	edge (uint01 triangle_node_a, uint01 triangle_node_b) const

constexpr TriangleLocation	getIdentityOf (const LineSegment< t_dims, t_type, t_vertex > &line) const

constexpr TriangleLocation	getIdentityOf (const LineSegment< t_dims, t_type, t_vertex > &line, t_type epsilon) const

constexpr TriangleLocation	getIdentityOf (const t_vertex &p) const

constexpr TriangleLocation	getIdentityOf (const t_vertex &p, t_type epsilon) const

constexpr TriangleLocation	getLocation (const LineSegment< t_dims, t_type, t_vertex > &line, t_type epsilon=cast< t_type >(0)) const

constexpr TriangleLocation	getLocation (const t_vertex &p, t_type epsilon=cast< t_type >(0)) const

bool	hasVertex (const t_vertex &point) const

constexpr void	invert ()

constexpr const t_vertex &	nextVertexCCW (const t_vertex &point) const

constexpr const t_vertex &	nextVertexCW (const t_vertex &point) const

template<bool is_normalized, class t_normal_type = t_type>
constexpr Vector< t_dims, t_normal_type >	normal () const

constexpr TriangleLocation	sharesObject (TriangleLocation object_to_check, const Triangle< t_dims, t_type, t_vertex > &tri, t_type epsilon=0) const

constexpr fltp08	tan (uint01 triangle_node) const

constexpr	Triangle ()

constexpr	Triangle (const t_type &a)

constexpr	Triangle (const t_type &a, const t_type &b, const t_type &c)

constexpr	Triangle (const t_vertex &a, const t_vertex &b, const t_vertex &c)

constexpr	Triangle (const t_vertex &vector)

constexpr t_vertex &	vertex (TriangleLocation triangle_node)
	Vertices the given triangle node.

constexpr const t_vertex &	vertex (TriangleLocation triangle_node) const
	Vertices the given triangle node.

constexpr t_vertex &	vertex (uint01 triangle_node)

constexpr const t_vertex &	vertex (uint01 triangle_node) const

constexpr uint01	vertexIndex (const t_vertex &p) const

Public Member Functions inherited from Vector< t_dims, t_type >
template<class t_new_type >
constexpr Vector< t_dims, t_new_type >	as () const

template<uint01 t_new_dim, class t_new_type >
constexpr Vector< t_new_dim, t_new_type >	as () const

template<uint01 t_new_dim, class t_new_type >
constexpr Vector< t_new_dim, t_new_type >	as (t_new_type extra_fill_value) const

template<LocationValues t_max_min>
constexpr uint01	dimensionalIndex () const

template<LocationValues t_max_min>
constexpr t_type	dimensionalValue () const

template<class t_magnitude_type = t_type>
constexpr t_magnitude_type	magnitude () const

constexpr t_type	magnitudeSquared () const

template<class t_norm_type = t_type>
constexpr Vector< t_dims, t_norm_type >	normalized (Vector< t_dims, t_norm_type > value_if_nan=Constant< Vector< t_dims, t_norm_type > >::Invalid) const

template<uint01 tdims = t_dims, typename = typename std::enable_if<tdims == 1>::type>
constexpr	operator const t_type & () const

template<uint01 tdims = t_dims, typename = typename std::enable_if<tdims == 1>::type>
constexpr	operator t_type & ()

constexpr Vector< t_dims, t_type >	operator- () const

constexpr Vector< t_dims, t_type > &	operator= (const t_type &scaler)

constexpr const t_type &	operator[] (const uint01 dimension_index) const

constexpr t_type &	operator[] (uint01 dimension_index)

constexpr t_type	product () const

constexpr t_type	sum () const

constexpr	Vector () noexcept

template<uint01 tdims = t_dims>
constexpr	Vector (const t_type &prefix, typename std::enable_if< tdims >=2, const Vector< t_dims - 1, t_type > & >::type vector)

template<uint01 tdims = t_dims>
constexpr	Vector (const t_type &prefix_a, const t_type &prefix_b, typename std::enable_if< tdims >=3, const Vector< tdims - 1, t_type > & >::type vector)

constexpr	Vector (const t_type &scaler) noexcept

template<uint01 tdims = t_dims>
constexpr	Vector (const t_type &x, const t_type &y, const t_type &z, const t_type &w, const t_type &v, const t_type &u, const t_type &t, const t_type &s, typename std::enable_if< tdims==9, const t_type & >::type r)

template<uint01 tdims = t_dims>
constexpr	Vector (const t_type &x, const t_type &y, const t_type &z, const t_type &w, const t_type &v, typename std::enable_if< tdims==6, const t_type & >::type u)

template<uint01 tdims = t_dims>
constexpr	Vector (const t_type &x, const t_type &y, const t_type &z, const t_type &w, typename std::enable_if< tdims==5, const t_type & >::type v)

template<uint01 tdims = t_dims>
constexpr	Vector (const t_type &x, const t_type &y, const t_type &z, typename std::enable_if< tdims==4, const t_type & >::type w)

template<uint01 tdims = t_dims>
constexpr	Vector (const t_type &x, const t_type &y, const typename std::enable_if< tdims==3, const t_type & >::type z)

template<uint01 tdims = t_dims>
constexpr	Vector (const t_type &x, typename std::enable_if< tdims==2, const t_type & >::type y)

constexpr	Vector (const t_type(&vector)[t_dims])

template<uint01 tdims = t_dims>
constexpr	Vector (const Vector< getMax(tdims - 2, 0), t_type > &vector, const t_type &suffix_a, typename std::enable_if< tdims >=3, const t_type & >::type suffix_b)

template<class t_vec_type >
constexpr	Vector (const Vector< t_dims, t_vec_type > &vector) noexcept

template<uint01 tdims = t_dims>
constexpr	Vector (const Vector< tdims - 1, t_type > &vector, typename std::enable_if< tdims >=2, const t_type & >::type suffix)

Additional Inherited Members
Static Public Member Functions inherited from Vector< t_dims, t_type >
static constexpr uint01	NumberOfDimensions ()

static constexpr t_type	Type ()

Static Public Member Functions inherited from TriangleBase
static constexpr TriangleLocation	NextVertexCCW (TriangleLocation location)
	Returns the point location counter-clockwise to given point location.

static constexpr TriangleLocation	NextVertexCW (TriangleLocation location)
	Returns the point location clockwise to given point location.

static constexpr TriangleLocation	oppositeLocation (TriangleLocation location)

Protected Attributes inherited from Vector< t_dims, t_type >
t_type	m_values [t_dims]

Detailed Description

template<uint01 t_dims, class t_type, class t_vertex = Vertex<t_dims, t_type>>
class NDEVR::Triangle< t_dims, t_type, t_vertex >

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. This triangle with vertices A, B, and C is which can be accessed using vertex(...)

Class: Triangle

Author: Tyler Parke

Date: 2017-11-17

Constructor & Destructor Documentation

◆ Triangle() [1/5]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

Triangle ( )

inlineconstexpr

◆ Triangle() [2/5]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

Triangle ( const t_type & a )

inlineexplicitconstexpr

◆ Triangle() [3/5]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

Triangle	(	const t_type &	a,
		const t_type &	b,
		const t_type &	c )

inlineconstexpr

◆ Triangle() [4/5]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

Triangle ( const t_vertex & vector )

inlineexplicitconstexpr

◆ Triangle() [5/5]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

Triangle	(	const t_vertex &	a,
		const t_vertex &	b,
		const t_vertex &	c )

inlineconstexpr

Member Function Documentation

◆ angle() [1/2]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

template<class t_angle_type >

Angle< t_angle_type > angle ( TriangleLocation location ) const

inlinenodiscardconstexpr

Angles the given location.

Author: Tyler Parke

Date: 2017-11-17

Parameters: location - The location.

Returns: An Angle.

◆ angle() [2/2]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

template<class t_angle_type >

Angle< t_angle_type > angle ( uint01 triangle_node ) const

inlinenodiscardconstexpr

Angles the given triangle node.

Author: Tyler Parke

Date: 2018-11-24

Parameters: triangle_node - The triangle node.

Returns: An Angle.

◆ area()

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

template<class t_area_type >

t_area_type area ( ) const

inlinenodiscardconstexpr

Gets the area.

Author: Tyler Parke

Date: 2017-11-17

Returns: A t_area_type.

◆ as()

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

template<uint01 t_new_dims, class t_new_type >

Triangle< t_new_dims, t_new_type > as ( ) const

inlinenodiscardconstexpr

Gets as.

Author: Tyler Parke

Date: 2017-11-17

Returns: as.

◆ center()

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

t_vertex center ( ) const

inlinenodiscardconstexpr

Gets the center.

Author: Tyler Parke

Date: 2017-11-17

Returns: A t_vertex.

◆ centroid()

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

t_vertex centroid ( ) const

inlinenodiscardconstexpr

Gets the centroid.

Author: Tyler Parke

Date: 2017-11-17

Returns: A t_vertex.

◆ contains() [1/2]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

bool contains	(	const t_vertex &	vertex_point,
		t_type	epsilon = t_type(0.0001) ) const

inlinenodiscardconstexpr

Query if this object contains the given vertex.

Author: Tyler Parke

Date: 2017-11-17

Parameters: vertex_point - The const t_vertex& to test for containment.

Returns: True if the object is in this collection, false if not.

◆ contains() [2/2]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

bool contains ( const Vector< t_dims - 1, t_type > & p ) const

inlinenodiscardconstexpr

Query if this object contains the given p.

Author: Tyler Parke

Date: 2017-11-17

Parameters: p - The const Vector<t_dims-1,t_type>& to test for containment.

Returns: True if the object is in this collection, false if not.

◆ edge() [1/2]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

LineSegment< t_dims, t_type, t_vertex > edge ( TriangleLocation location ) const

inlinenodiscardconstexpr

Edges the given location.

Author: Tyler Parke

Date: 2017-11-17

Parameters: location - The location.

Returns: A LineSegment<t_dims,t_type,t_vertex>

◆ edge() [2/2]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

LineSegment< t_dims, t_type, t_vertex > edge	(	uint01	triangle_node_a,
		uint01	triangle_node_b ) const

inlinenodiscardconstexpr

Edges.

Author: Tyler Parke

Date: 2017-11-17

Parameters: triangle_node_a - The triangle node a. triangle_node_b - The triangle node b.

Returns: A LineSegment<t_dims,t_type,t_vertex>

◆ getIdentityOf() [1/4]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

TriangleLocation getIdentityOf ( const LineSegment< t_dims, t_type, t_vertex > & line ) const

inlinenodiscardconstexpr

◆ getIdentityOf() [2/4]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

TriangleLocation getIdentityOf	(	const LineSegment< t_dims, t_type, t_vertex > &	line,
		t_type	epsilon ) const

inlinenodiscardconstexpr

◆ getIdentityOf() [3/4]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

TriangleLocation getIdentityOf ( const t_vertex & p ) const

inlinenodiscardconstexpr

◆ getIdentityOf() [4/4]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

TriangleLocation getIdentityOf	(	const t_vertex &	p,
		t_type	epsilon ) const

inlinenodiscardconstexpr

◆ getLocation() [1/2]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

TriangleLocation getLocation	(	const LineSegment< t_dims, t_type, t_vertex > &	line,
		t_type	epsilon = cast<t_type>(0) ) const

inlinenodiscardconstexpr

◆ getLocation() [2/2]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

TriangleLocation getLocation	(	const t_vertex &	p,
		t_type	epsilon = cast<t_type>(0) ) const

inlinenodiscardconstexpr

◆ hasVertex()

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

bool hasVertex ( const t_vertex & point ) const

inline

◆ invert()

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

void invert ( )

inlineconstexpr

Inverts this object.

Author: Tyler Parke

Date: 2017-11-17

◆ nextVertexCCW()

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

const t_vertex & nextVertexCCW ( const t_vertex & point ) const

inlineconstexpr

Returns the point counter-clockwise to given point. Note the given point must be a vertex of the triangle

Author: Tyler Parke

Date: 2017-05-15

◆ nextVertexCW()

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

const t_vertex & nextVertexCW ( const t_vertex & point ) const

inlineconstexpr

Returns the point clockwise to given point. Note the given point must be a vertex of the triangle

Author: Tyler Parke

Date: 2017-05-15

◆ normal()

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

template<bool is_normalized, class t_normal_type = t_type>

Vector< t_dims, t_normal_type > normal ( ) const

inlinenodiscardconstexpr

Gets the normal.

Author: Tyler Parke

Date: 2017-11-17

Returns: A Vector<t_dims,t_normal_type>

◆ sharesObject()

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

TriangleLocation sharesObject	(	TriangleLocation	object_to_check,
		const Triangle< t_dims, t_type, t_vertex > &	tri,
		t_type	epsilon = 0 ) const

inlinenodiscardconstexpr

Shares object.

Author: Tyler Parke

Date: 2017-11-17

Parameters: object_to_check - The object to check. tri - The triangle. epsilon - (Optional) The epsilon.

Returns: A TriangleLocation.

◆ tan()

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

fltp08 tan ( uint01 triangle_node ) const

inlinenodiscardconstexpr

◆ vertex() [1/4]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

t_vertex & vertex ( TriangleLocation triangle_node )

inlinenodiscardconstexpr

Vertices the given triangle node.

Author: Tyler Parke

Date: 2017-11-17

Parameters: triangle_node - The triangle node.

Returns: A reference to a t_vertex.

◆ vertex() [2/4]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

const t_vertex & vertex ( TriangleLocation triangle_node ) const

inlinenodiscardconstexpr

Vertices the given triangle node.

Author: Tyler Parke

Date: 2017-11-17

Parameters: triangle_node - The triangle node.

Returns: A reference to a const t_vertex.

◆ vertex() [3/4]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

t_vertex & vertex ( uint01 triangle_node )

inlinenodiscardconstexpr

Vertices the given triangle node.

Author: Tyler Parke

Date: 2017-11-17

Parameters: triangle_node - The triangle node.

Returns: A reference to a t_vertex.

◆ vertex() [4/4]

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

const t_vertex & vertex ( uint01 triangle_node ) const

inlinenodiscardconstexpr

Vertices the given triangle node.

Author: Tyler Parke

Date: 2017-11-17

Parameters: triangle_node - The triangle node.

Returns: A reference to a const t_vertex.

◆ vertexIndex()

template<uint01 t_dims, class t_type , class t_vertex = Vertex<t_dims, t_type>>

uint01 vertexIndex ( const t_vertex & p ) const

inlinenodiscardconstexpr

Gets a location.

Author: Tyler Parke

Date: 2017-11-17

Parameters: p - A Vector<t_dims,t_type> to process. epsilon - (Optional) The epsilon.

Returns: The location.

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

Base/Headers/Triangle.hpp

Public Member Functions

Additional Inherited Members

Detailed Description

Date: 2017-11-17

Constructor & Destructor Documentation

◆ Triangle() [1/5]

◆ Triangle() [2/5]

◆ Triangle() [3/5]

◆ Triangle() [4/5]

◆ Triangle() [5/5]

Member Function Documentation

◆ angle() [1/2]

Returns: An Angle.

◆ angle() [2/2]

Returns: An Angle.

◆ area()

Returns: A t_area_type.

◆ as()

Returns: as.

◆ center()

Returns: A t_vertex.

◆ centroid()

Returns: A t_vertex.

◆ contains() [1/2]

Returns: True if the object is in this collection, false if not.

◆ contains() [2/2]

Returns: True if the object is in this collection, false if not.

◆ edge() [1/2]

Returns: A LineSegment<t_dims,t_type,t_vertex>

◆ edge() [2/2]

Returns: A LineSegment<t_dims,t_type,t_vertex>

◆ getIdentityOf() [1/4]

◆ getIdentityOf() [2/4]

◆ getIdentityOf() [3/4]

◆ getIdentityOf() [4/4]

◆ getLocation() [1/2]

◆ getLocation() [2/2]

◆ hasVertex()

◆ invert()

Date: 2017-11-17

◆ nextVertexCCW()

Date: 2017-05-15

◆ nextVertexCW()

Date: 2017-05-15

◆ normal()

Returns: A Vector<t_dims,t_normal_type>

◆ sharesObject()

Returns: A TriangleLocation.

◆ tan()

◆ vertex() [1/4]

Returns: A reference to a t_vertex.

◆ vertex() [2/4]

Returns: A reference to a const t_vertex.

◆ vertex() [3/4]

Returns: A reference to a t_vertex.

◆ vertex() [4/4]

Returns: A reference to a const t_vertex.

◆ vertexIndex()

Returns: The location.