TypeOfCellTriangle.h File Reference

#include <vtkm/Math.h>
#include <vtkm/VectorAnalysis.h>

Go to the source code of this file.

Functions
template<typename Scalar , typename Vector , typename CollectionOfPoints >
VTKM_EXEC Vector	GetTriangleL0 (const CollectionOfPoints &pts)
	The Verdict manual defines a set of commonly used components of a triangle. More...
template<typename Scalar , typename Vector , typename CollectionOfPoints >
VTKM_EXEC Vector	GetTriangleL1 (const CollectionOfPoints &pts)
	Returns the L1 vector, as defined by the verdict manual. More...
template<typename Scalar , typename Vector , typename CollectionOfPoints >
VTKM_EXEC Vector	GetTriangleL2 (const CollectionOfPoints &pts)
	Returns the L2 vector, as defined by the verdict manual. More...
template<typename Scalar , typename Vector , typename CollectionOfPoints >
VTKM_EXEC Scalar	GetTriangleL0Magnitude (const CollectionOfPoints &pts)
	Returns the L0 vector's magnitude, as defined by the verdict manual. More...
template<typename Scalar , typename Vector , typename CollectionOfPoints >
VTKM_EXEC Scalar	GetTriangleL1Magnitude (const CollectionOfPoints &pts)
	Returns the L1 vector's magnitude, as defined by the verdict manual. More...
template<typename Scalar , typename Vector , typename CollectionOfPoints >
VTKM_EXEC Scalar	GetTriangleL2Magnitude (const CollectionOfPoints &pts)
	Returns the L2 vector's magnitude, as defined by the verdict manual. More...
template<typename Scalar , typename Vector , typename CollectionOfPoints >
VTKM_EXEC Scalar	GetTriangleLMax (const CollectionOfPoints &pts)
	Returns the Max of the magnitude of each vector which makes up the sides of the triangle. More...
template<typename Scalar , typename Vector , typename CollectionOfPoints >
VTKM_EXEC Scalar	GetTriangleLMin (const CollectionOfPoints &pts)
	Returns the Min of the magnitude of each vector which makes up the sides of the triangle. More...
template<typename Scalar , typename Vector , typename CollectionOfPoints >
VTKM_EXEC Scalar	GetTriangleArea (const CollectionOfPoints &pts)
	Returns the area of the triangle. More...
template<typename Scalar , typename Vector , typename CollectionOfPoints >
VTKM_EXEC Scalar	GetTriangleInradius (const CollectionOfPoints &pts)
	Returns the radius of a circle inscribed within the given triangle. More...
template<typename Scalar , typename Vector , typename CollectionOfPoints >
VTKM_EXEC Scalar	GetTriangleCircumradius (const CollectionOfPoints &pts)
	Returns the radius of a circle circumscribed around the given triangle. More...

Function Documentation

GetTriangleArea()

template<typename Scalar , typename Vector , typename CollectionOfPoints >

VTKM_EXEC Scalar GetTriangleArea

(

const CollectionOfPoints &

pts

)

Returns the area of the triangle.

Parameters

[in]

pts

The three points which define the verticies of the triangle.

Returns

Returns the are of the triangle..

GetTriangleCircumradius()

template<typename Scalar , typename Vector , typename CollectionOfPoints >

VTKM_EXEC Scalar GetTriangleCircumradius

(

const CollectionOfPoints &

pts

)

Returns the radius of a circle circumscribed around the given triangle.

This is commonly denoted as 'R'.

Parameters

[in]

pts

The three points which define the verticies of the triangle.

Returns

Returns the circumradius.

GetTriangleInradius()

template<typename Scalar , typename Vector , typename CollectionOfPoints >

VTKM_EXEC Scalar GetTriangleInradius

(

const CollectionOfPoints &

pts

)

Returns the radius of a circle inscribed within the given triangle.

This is commonly denoted as 'r'.

Parameters

[in]

pts

The three points which define the verticies of the triangle.

Returns

Returns the inradius.

GetTriangleL0()

template<typename Scalar , typename Vector , typename CollectionOfPoints >

VTKM_EXEC Vector GetTriangleL0

(

const CollectionOfPoints &

pts

)

The Verdict manual defines a set of commonly used components of a triangle.

For example, area, side lengths, and so forth.

These definitions can be found starting on page 17 of the Verdict manual.

This file contains a set of functions which implement return the values of those commonly used components for subsequent use in metrics. Returns the L0 vector, as defined by the verdict manual.

Parameters

[in]

pts

The three points which define the triangle.

Returns

Returns the vector.

GetTriangleL0Magnitude()

template<typename Scalar , typename Vector , typename CollectionOfPoints >

VTKM_EXEC Scalar GetTriangleL0Magnitude

(

const CollectionOfPoints &

pts

)

Returns the L0 vector's magnitude, as defined by the verdict manual.

Parameters

[in]

pts

The three points which define the triangle.

Returns

Returns the magnitude of the vector.

GetTriangleL1()

template<typename Scalar , typename Vector , typename CollectionOfPoints >

VTKM_EXEC Vector GetTriangleL1

(

const CollectionOfPoints &

pts

)

Returns the L1 vector, as defined by the verdict manual.

Parameters

[in]

pts

The three points which define the triangle.

Returns

Returns the vector.

GetTriangleL1Magnitude()

template<typename Scalar , typename Vector , typename CollectionOfPoints >

VTKM_EXEC Scalar GetTriangleL1Magnitude

(

const CollectionOfPoints &

pts

)

Returns the L1 vector's magnitude, as defined by the verdict manual.

Parameters

[in]

pts

The three points which define the triangle.

Returns

Returns the magnitude of the vector.

GetTriangleL2()

template<typename Scalar , typename Vector , typename CollectionOfPoints >

VTKM_EXEC Vector GetTriangleL2

(

const CollectionOfPoints &

pts

)

Returns the L2 vector, as defined by the verdict manual.

Parameters

[in]

pts

The three points which define the triangle.

Returns

Returns the vector.

GetTriangleL2Magnitude()

template<typename Scalar , typename Vector , typename CollectionOfPoints >

VTKM_EXEC Scalar GetTriangleL2Magnitude

(

const CollectionOfPoints &

pts

)

Returns the L2 vector's magnitude, as defined by the verdict manual.

Parameters

[in]

pts

The three points which define the triangle.

Returns

Returns the magnitude of the vector.

GetTriangleLMax()

template<typename Scalar , typename Vector , typename CollectionOfPoints >

VTKM_EXEC Scalar GetTriangleLMax

(

const CollectionOfPoints &

pts

)

Returns the Max of the magnitude of each vector which makes up the sides of the triangle.

That is to say, the length of the longest side.

Parameters

[in]

pts

The three points which define the verticies of the triangle.

Returns

Returns the max of the triangle side lengths.

GetTriangleLMin()

template<typename Scalar , typename Vector , typename CollectionOfPoints >

VTKM_EXEC Scalar GetTriangleLMin

(

const CollectionOfPoints &

pts

)

Returns the Min of the magnitude of each vector which makes up the sides of the triangle.

That is to say, the length of the shortest side.

Parameters

[in]

pts

The three points which define the verticies of the triangle.

Returns

Returns the max of the triangle side lengths.