Intrepid2::RealSpaceTools< ExecSpaceType > Class Template Reference

Implementation of basic linear algebra functionality in Euclidean space. More...

#include <Intrepid2_RealSpaceTools.hpp>

Classes
struct	Serial

Static Public Member Functions
template<typename outputValueType , class... outputProperties, typename inputValueType , class... inputProperties>
static void	extractScalarValues (Kokkos::DynRankView< outputValueType, outputProperties...> output, const Kokkos::DynRankView< inputValueType, inputProperties...> input)
	Extract scalar type values from Sacado-based array. More...
template<typename outputValueType , class... outputProperties, typename inputValueType , class... inputProperties>
static void	clone (Kokkos::DynRankView< outputValueType, outputProperties...> output, const Kokkos::DynRankView< inputValueType, inputProperties...> input)
	Clone input array. More...
template<typename absArrayValueType , class... absArrayProperties, typename inArrayValueType , class... inArrayProperties>
static void	absval (Kokkos::DynRankView< absArrayValueType, absArrayProperties...> absArray, const Kokkos::DynRankView< inArrayValueType, inArrayProperties...> inArray)
	Computes absolute value of an array. More...
template<typename inoutArrayValueType , class... inoutArrayProperties>
static void	absval (Kokkos::DynRankView< inoutArrayValueType, inoutArrayProperties...> inoutArray)
	Computes, in place, absolute value of an array. More...
template<typename normArrayValueType , class... normArrayProperties, typename inVecValueType , class... inVecProperties>
static void	vectorNorm (Kokkos::DynRankView< normArrayValueType, normArrayProperties...> normArray, const Kokkos::DynRankView< inVecValueType, inVecProperties...> inVecs, const ENorm normType)
	Computes norms (1, 2, infinity) of vectors stored in a array of total rank 2 (array of vectors), indexed by (i0, D), or 3 (array of arrays of vectors), indexed by (i0, i1, D). More...
template<typename transposeMatValueType , class... transposeMatProperties, typename inMatValueType , class... inMatProperties>
static void	transpose (Kokkos::DynRankView< transposeMatValueType, transposeMatProperties...> transposeMats, const Kokkos::DynRankView< inMatValueType, inMatProperties...> inMats)
	Computes transposes of square matrices stored in an array of total rank 2 (single matrix), indexed by (D, D), 3 (array of matrices), indexed by (i0, D, D), or 4 (array of arrays of matrices), indexed by (i0, i1, D, D). More...
template<typename inverseMatValueType , class... inverseMatProperties, typename inMatValueType , class... inMatProperties>
static void	inverse (Kokkos::DynRankView< inverseMatValueType, inverseMatProperties...> inverseMats, const Kokkos::DynRankView< inMatValueType, inMatProperties...> inMats)
	Computes inverses of nonsingular matrices stored in an array of total rank 2 (single matrix), indexed by (D, D), 3 (array of matrices), indexed by (i0, D, D), or 4 (array of arrays of matrices), indexed by (i0, i1, D, D). More...
template<typename detArrayValueType , class... detArrayProperties, typename inMatValueType , class... inMatProperties>
static void	det (Kokkos::DynRankView< detArrayValueType, detArrayProperties...> detArray, const Kokkos::DynRankView< inMatValueType, inMatProperties...> inMats)
	Computes determinants of matrices stored in an array of total rank 3 (array of matrices), indexed by (i0, D, D), or 4 (array of arrays of matrices), indexed by (i0, i1, D, D). More...
template<typename sumArrayValueType , class... sumArrayProperties, typename inArray1ValueType , class... inArray1Properties, typename inArray2ValueType , class... inArray2Properties>
static void	add (Kokkos::DynRankView< sumArrayValueType, sumArrayProperties...> sumArray, const Kokkos::DynRankView< inArray1ValueType, inArray1Properties...> inArray1, const Kokkos::DynRankView< inArray2ValueType, inArray2Properties...> inArray2)
	Adds arrays inArray1 and inArray2: sumArray = inArray1 + inArray2. More...
template<typename inoutSumArrayValueType , class... inoutSumArrayProperties, typename inArrayValueType , class... inArrayProperties>
static void	add (Kokkos::DynRankView< inoutSumArrayValueType, inoutSumArrayProperties...> inoutSumArray, const Kokkos::DynRankView< inArrayValueType, inArrayProperties...> inArray)
	Adds, in place, inArray into inoutSumArray: inoutSumArray = inoutSumArray + inArray. More...
template<typename diffArrayValueType , class... diffArrayProperties, typename inArray1ValueType , class... inArray1Properties, typename inArray2ValueType , class... inArray2Properties>
static void	subtract (Kokkos::DynRankView< diffArrayValueType, diffArrayProperties...> diffArray, const Kokkos::DynRankView< inArray1ValueType, inArray1Properties...> inArray1, const Kokkos::DynRankView< inArray2ValueType, inArray2Properties...> inArray2)
	Subtracts inArray2 from inArray1: diffArray = inArray1 - inArray2. More...
template<typename inoutDiffArrayValueType , class... inoutDiffArrayProperties, typename inArrayValueType , class... inArrayProperties>
static void	subtract (Kokkos::DynRankView< inoutDiffArrayValueType, inoutDiffArrayProperties...> diffArray, const Kokkos::DynRankView< inArrayValueType, inArrayProperties...> inArray)
	Subtracts, in place, inArray from diffArray: diffArray = diffArray - inArray. More...
template<typename ValueType , typename scaledArrayValueType , class... scaledArrayProperties, typename inArrayValueType , class... inArrayProperties>
static void	scale (Kokkos::DynRankView< scaledArrayValueType, scaledArrayProperties...> scaledArray, const Kokkos::DynRankView< inArrayValueType, inArrayProperties...> inArray, const ValueType alpha)
	Multiplies array inArray by the scalar scalar (componentwise): scaledArray = scalar * inArray. More...
template<typename ValueType , typename inoutScaledArrayValueType , class... inoutScaledArrayProperties>
static void	scale (Kokkos::DynRankView< inoutScaledArrayValueType, inoutScaledArrayProperties...> inoutScaledArray, const ValueType alpha)
	Multiplies, in place, array inoutScaledArray by the scalar scalar (componentwise): inoutScaledArray = scalar * inoutScaledArray. More...
template<typename dotArrayValueType , class... dotArrayProperties, typename inVec1ValueType , class... inVec1Properties, typename inVec2ValueType , class... inVec2Properties>
static void	dot (Kokkos::DynRankView< dotArrayValueType, dotArrayProperties...> dotArray, const Kokkos::DynRankView< inVec1ValueType, inVec1Properties...> inVecs1, const Kokkos::DynRankView< inVec2ValueType, inVec2Properties...> inVecs2)
	Computes dot product of vectors stored in an array of total rank 2 (array of vectors), indexed by (i0, D), or 3 (array of arrays of vectors), indexed by (i0, i1, D). More...
template<typename matVecValueType , class... matVecProperties, typename inMatValueType , class... inMatProperties, typename inVecValueType , class... inVecProperties>
static void	matvec (Kokkos::DynRankView< matVecValueType, matVecProperties...> matVecs, const Kokkos::DynRankView< inMatValueType, inMatProperties...> inMats, const Kokkos::DynRankView< inVecValueType, inVecProperties...> inVecs)
	Matrix-vector left multiply using multidimensional arrays: matVec = inMat * inVec. More...
template<typename vecProdValueType , class... vecProdProperties, typename inLeftValueType , class... inLeftProperties, typename inRightValueType , class... inRightProperties>
static void	vecprod (Kokkos::DynRankView< vecProdValueType, vecProdProperties...> vecProd, const Kokkos::DynRankView< inLeftValueType, inLeftProperties...> inLeft, const Kokkos::DynRankView< inRightValueType, inRightProperties...> inRight)
	Vector product using multidimensional arrays: vecProd = inVecLeft x inVecRight More...

Detailed Description

template<typename ExecSpaceType = void>
class Intrepid2::RealSpaceTools< ExecSpaceType >

Implementation of basic linear algebra functionality in Euclidean space.

Note:

• Compiled on devices (KOKKOS_INLINE_FUNCTION)
• Callable on devices and Kokkos functor (no temporary allocation)
• parallel_for inside of Intrepid functions is dictated by the provided execution space
• With Kokkos::Serial, functions (that already contain parallel_for) can be nested in Kokkos functors
• When a function is decorated with KOKKOS_INLINE_FUNCTION, remove Teuchos testing and std::vectors
• For norm and det computations, the value_type is chosen from the first input container.
• As the name says, the class assumes that input containers are "real type" and not complex type.
• Functions that are designed for small problems are not parallelized e.g., dot, norm and det. These functions have non-void return types and expect to be used for small problems. However, high level (working on cell-level) functions are parallelized.

Definition at line 79 of file Intrepid2_RealSpaceTools.hpp.

Member Function Documentation

template<typename SpT >

template<typename absArrayValueType , class... absArrayProperties, typename inArrayValueType , class... inArrayProperties>

void Intrepid2::RealSpaceTools< SpT >::absval ( Kokkos::DynRankView< absArrayValueType, absArrayProperties...>  absArray, const Kokkos::DynRankView< inArrayValueType, inArrayProperties...>  inArray  )

static

Computes absolute value of an array.

Parameters

outArray	[out] - output array
inArray	[in] - input array

Note

Requirements (checked at runtime, in debug mode):

• rank(absArray) == rank(inArray)
• dimensions(absArray) == dimensions(inArray)

Definition at line 405 of file Intrepid2_RealSpaceToolsDef.hpp.

Referenced by Intrepid2::RealSpaceTools< ExecSpaceType >::absval().

template<typename SpT >

template<typename inoutArrayValueType , class... inoutAbsArrayProperties>

void Intrepid2::RealSpaceTools< SpT >::absval ( Kokkos::DynRankView< inoutArrayValueType, inoutAbsArrayProperties...>  inoutArray )

static

Computes, in place, absolute value of an array.

Parameters

inoutArray

[in/out] - input/output array

Definition at line 437 of file Intrepid2_RealSpaceToolsDef.hpp.

References Intrepid2::RealSpaceTools< ExecSpaceType >::absval().

template<typename SpT >

template<typename sumArrayValueType , class... sumArrayProperties, typename inArray1ValueType , class... inArray1Properties, typename inArray2ValueType , class... inArray2Properties>

void Intrepid2::RealSpaceTools< SpT >::add ( Kokkos::DynRankView< sumArrayValueType, sumArrayProperties...>  sumArray, const Kokkos::DynRankView< inArray1ValueType, inArray1Properties...>  inArray1, const Kokkos::DynRankView< inArray2ValueType, inArray2Properties...>  inArray2  )

static

Adds arrays inArray1 and inArray2:
sumArray = inArray1 + inArray2.

Parameters

sumArray	[out] - sum
inArray1	[in] - first summand
inArray2	[in] - second summand

Note

Requirements (checked at runtime, in debug mode):

• rank(sumArray) == rank(inArray1) == rank(inArray2)
• dimensions(sumArray) == dimensions(inArray1) == dimensions(inArray2)

Definition at line 874 of file Intrepid2_RealSpaceToolsDef.hpp.

Referenced by Intrepid2::RealSpaceTools< ExecSpaceType >::add().

template<typename SpT >

template<typename inoutSumArrayValueType , class... inoutSumArrayProperties, typename inArrayValueType , class... inArrayProperties>

void Intrepid2::RealSpaceTools< SpT >::add ( Kokkos::DynRankView< inoutSumArrayValueType, inoutSumArrayProperties...>  inoutSumArray, const Kokkos::DynRankView< inArrayValueType, inArrayProperties...>  inArray  )

static

Adds, in place, inArray into inoutSumArray:
inoutSumArray = inoutSumArray + inArray.

Parameters

inoutSumArray	[in/out] - sum/first summand
inArray	[in] - second summand

Note

Requirements (checked at runtime, in debug mode):

• rank(inoutSumArray) == rank(inArray)
• dimensions(inoutSumArray) == dimensions(inArray)

Definition at line 909 of file Intrepid2_RealSpaceToolsDef.hpp.

References Intrepid2::RealSpaceTools< ExecSpaceType >::add().

template<typename SpT >

template<typename outputValueType , class... outputProperties, typename inputValueType , class... inputProperties>

void Intrepid2::RealSpaceTools< SpT >::clone ( Kokkos::DynRankView< outputValueType, outputProperties...>  output, const Kokkos::DynRankView< inputValueType, inputProperties...>  input  )

static

Clone input array.

Parameters

output	[out] - output array
input	[in] - input array

Note

Requirements (checked at runtime, in debug mode):

• rank(input) <= 3
• rank(output) >= rank(input)
• rank(output) - rank(input) <= 3

Definition at line 326 of file Intrepid2_RealSpaceToolsDef.hpp.

Referenced by Intrepid2::Experimental::LagrangianInterpolation< ExecSpaceType >::getDofCoordsAndCoeffs(), and Intrepid2::FunctionSpaceTools< ExecSpaceType >::HGRADtransformVALUE().

template<typename SpT >

template<typename detArrayValueType , class... detArrayProperties, typename inMatValueType , class... inMatProperties>

void Intrepid2::RealSpaceTools< SpT >::det ( Kokkos::DynRankView< detArrayValueType, detArrayProperties...>  detArray, const Kokkos::DynRankView< inMatValueType, inMatProperties...>  inMats  )

static

Computes determinants of matrices stored in an array of total rank 3 (array of matrices), indexed by (i0, D, D), or 4 (array of arrays of matrices), indexed by (i0, i1, D, D).

Parameters

detArray	[out] - array of determinants indexed by (i0) or (i0, i1)
inMats	[in] - array of matrices indexed by (i0, D, D) or (i0, i1, D, D)

Note

Requirements (checked at runtime, in debug mode):

• rank(detArray) == rank(inMats) - 2
• rank(inMats) == 3 or 4
• dimensions i0, i1 of detArray and inMats must agree
• matrix dimensions are limited to 1, 2, and 3

Definition at line 785 of file Intrepid2_RealSpaceToolsDef.hpp.

Referenced by Intrepid2::CellTools< ExecSpaceType >::setJacobianDet().

template<typename SpT >

template<typename dotArrayValueType , class... dotArrayProperties, typename inVec1ValueType , class... inVec1Properties, typename inVec2ValueType , class... inVec2Properties>

void Intrepid2::RealSpaceTools< SpT >::dot ( Kokkos::DynRankView< dotArrayValueType, dotArrayProperties...>  dotArray, const Kokkos::DynRankView< inVec1ValueType, inVec1Properties...>  inVecs1, const Kokkos::DynRankView< inVec2ValueType, inVec2Properties...>  inVecs2  )

static

Computes dot product of vectors stored in an array of total rank 2 (array of vectors), indexed by (i0, D), or 3 (array of arrays of vectors), indexed by (i0, i1, D).

Parameters

dotArray	[out] - dot product array indexed by (i0) or (i0, i1)
inVecs1	[in] - first array of vectors indexed by (i0, D) or (i0, i1, D)
inVecs2	[in] - second array of vectors indexed by (i0, D) or (i0, i1, D)

Note

Requirements (checked at runtime, in debug mode):

• rank(dotArray) == rank(inVecs1) - 1 == rank(inVecs2) - 1
• rank(inVecs1) == 2 or 3
• dimensions i0, i1 of dotArray and inVecs1 / inVecs2 must agree

Definition at line 1146 of file Intrepid2_RealSpaceToolsDef.hpp.

template<typename SpT >

template<typename outputValueType , class... outputProperties, typename inputValueType , class... inputProperties>

void Intrepid2::RealSpaceTools< SpT >::extractScalarValues ( Kokkos::DynRankView< outputValueType, outputProperties...>  output, const Kokkos::DynRankView< inputValueType, inputProperties...>  input  )

static

Extract scalar type values from Sacado-based array.

Parameters

output	[out] - output array
input	[in] - input array

Definition at line 256 of file Intrepid2_RealSpaceToolsDef.hpp.

template<typename SpT >

template<typename inverseMatValueType , class... inverseMatProperties, typename inMatValueType , class... inMatProperties>

void Intrepid2::RealSpaceTools< SpT >::inverse ( Kokkos::DynRankView< inverseMatValueType, inverseMatProperties...>  inverseMats, const Kokkos::DynRankView< inMatValueType, inMatProperties...>  inMats  )

static

Computes inverses of nonsingular matrices stored in an array of total rank 2 (single matrix), indexed by (D, D), 3 (array of matrices), indexed by (i0, D, D), or 4 (array of arrays of matrices), indexed by (i0, i1, D, D).

Parameters

inverseMats	[out] - array of inverses indexed by (D, D), (i0, D, D) or (i0, i1, D, D)
inMats	[in] - array of matrices indexed by (D, D), (i0, D, D) or (i0, i1, D, D)

Note

Requirements (checked at runtime, in debug mode):

• rank(inverseMats) == rank(inMats)
• rank(inMats) == 3 or 4
• dimensions(inverseMats) == dimensions(inMats)
• matrices must be square
• matrix dimensions are limited to 1, 2, and 3

Definition at line 701 of file Intrepid2_RealSpaceToolsDef.hpp.

Referenced by Intrepid2::CellTools< ExecSpaceType >::setJacobianInv().

template<typename SpT >

template<typename matVecValueType , class... matVecProperties, typename inMatValueType , class... inMatProperties, typename inVecValueType , class... inVecProperties>

void Intrepid2::RealSpaceTools< SpT >::matvec ( Kokkos::DynRankView< matVecValueType, matVecProperties...>  matVecs, const Kokkos::DynRankView< inMatValueType, inMatProperties...>  inMats, const Kokkos::DynRankView< inVecValueType, inVecProperties...>  inVecs  )

static

Matrix-vector left multiply using multidimensional arrays:
matVec = inMat * inVec.

An array (rank 1, 2 or 3) of "column" vectors, indexed by (D), (i0, D) or (i0, i1, D), is multiplied on the left by an array (rank 2, 3 or 4) of square matrices, indexed by (D, D), (i0, D, D) or (i0, i1, D, D).

Parameters

matVec	[out] - matrix-vector product indexed by (D), (i0, D) or (i0, i1, D)
inMat	[in] - the matrix argument indexed by (D, D), (i0, D, D) or (i0, i1, D, D)
inVec	[in] - the vector argument indexed by (D), (i0, D) or (i0, i1, D)

Note

Requirements (checked at runtime, in debug mode):

• rank(matVec) == rank(inVec) == rank(inMat) - 1
• dimensions(matVec) == dimensions(inVec)
• matrix and vector dimensions D, i0 and i1 must agree
• matrices are square

Definition at line 1241 of file Intrepid2_RealSpaceToolsDef.hpp.

Referenced by Intrepid2::CellTools< ExecSpaceType >::getPhysicalEdgeTangents(), Intrepid2::CellTools< ExecSpaceType >::getPhysicalFaceTangents(), and Intrepid2::CellTools< ExecSpaceType >::getPhysicalSideNormals().

template<typename SpT >

template<typename ValueType , typename scaledArrayValueType , class... scaledArrayProperties, typename inArrayValueType , class... inArrayProperties>

void Intrepid2::RealSpaceTools< SpT >::scale ( Kokkos::DynRankView< scaledArrayValueType, scaledArrayProperties...>  scaledArray, const Kokkos::DynRankView< inArrayValueType, inArrayProperties...>  inArray, const ValueType  alpha  )

static

Multiplies array inArray by the scalar scalar (componentwise):
scaledArray = scalar * inArray.

Parameters

scaledArray	[out] - scaled array
inArray	[in] - input array
alpha	[in] - multiplier

Note

Requirements (checked at runtime, in debug mode):

• rank(scaledArray) == rank(inArray)
• dimensions(scaledArray) == dimensions(inArray)

Definition at line 1060 of file Intrepid2_RealSpaceToolsDef.hpp.

Referenced by Intrepid2::RealSpaceTools< ExecSpaceType >::scale().

template<typename SpT >

template<typename ValueType , typename inoutScaledArrayValueType , class... inoutScaledArrayProperties>

void Intrepid2::RealSpaceTools< SpT >::scale ( Kokkos::DynRankView< inoutScaledArrayValueType, inoutScaledArrayProperties...>  inoutScaledArray, const ValueType  alpha  )

static

Multiplies, in place, array inoutScaledArray by the scalar scalar (componentwise):
inoutScaledArray = scalar * inoutScaledArray.

Parameters

inoutScaledArray	[in/out] - input/output array
alpha	[in] - multiplier

Definition at line 1094 of file Intrepid2_RealSpaceToolsDef.hpp.

References Intrepid2::RealSpaceTools< ExecSpaceType >::scale().

template<typename SpT >

template<typename diffArrayValueType , class... diffArrayProperties, typename inArray1ValueType , class... inArray1Properties, typename inArray2ValueType , class... inArray2Properties>

void Intrepid2::RealSpaceTools< SpT >::subtract ( Kokkos::DynRankView< diffArrayValueType, diffArrayProperties...>  diffArray, const Kokkos::DynRankView< inArray1ValueType, inArray1Properties...>  inArray1, const Kokkos::DynRankView< inArray2ValueType, inArray2Properties...>  inArray2  )

static

Subtracts inArray2 from inArray1:
diffArray = inArray1 - inArray2.

Parameters

diffArray	[out] - difference
inArray1	[in] - minuend
inArray2	[in] - subtrahend

Note

Requirements (checked at runtime, in debug mode):

• rank(sumArray) == rank(inArray1) == rank(inArray2)
• dimensions(sumArray) == dimensions(inArray1) == dimensions(inArray2)

Definition at line 967 of file Intrepid2_RealSpaceToolsDef.hpp.

Referenced by Intrepid2::RealSpaceTools< ExecSpaceType >::subtract().

template<typename SpT >

template<typename inoutDiffArrayValueType , class... inoutDiffArrayProperties, typename inArrayValueType , class... inArrayProperties>

void Intrepid2::RealSpaceTools< SpT >::subtract ( Kokkos::DynRankView< inoutDiffArrayValueType, inoutDiffArrayProperties...>  diffArray, const Kokkos::DynRankView< inArrayValueType, inArrayProperties...>  inArray  )

static

Subtracts, in place, inArray from diffArray:
diffArray = diffArray - inArray.

Parameters

diffArray	[in/out] - difference/minuend
inArray	[in] - subtrahend

Note

Requirements (checked at runtime, in debug mode):

• rank(inoutDiffArray) == rank(inArray)
• dimensions(inoutDiffArray) == dimensions(inArray)

Definition at line 1002 of file Intrepid2_RealSpaceToolsDef.hpp.

References Intrepid2::RealSpaceTools< ExecSpaceType >::subtract().

template<typename SpT >

template<typename transposeMatValueType , class... transposeMatProperties, typename inMatValueType , class... inMatProperties>

void Intrepid2::RealSpaceTools< SpT >::transpose ( Kokkos::DynRankView< transposeMatValueType, transposeMatProperties...>  transposeMats, const Kokkos::DynRankView< inMatValueType, inMatProperties...>  inMats  )

static

Computes transposes of square matrices stored in an array of total rank 2 (single matrix), indexed by (D, D), 3 (array of matrices), indexed by (i0, D, D), or 4 (array of arrays of matrices), indexed by (i0, i1, D, D).

Parameters

transposeMats	[out] - array of transposes indexed by (D, D), (i0, D, D) or (i0, i1, D, D)
inMats	[in] - array of matrices indexed by (D, D), (i0, D, D) or (i0, i1, D, D)

Note

Requirements (checked at runtime, in debug mode):

• rank(transposeMats) == rank(inMats)
• rank(inMats) == 3 or 4
• dimensions(transposeMats) == dimensions(inMats)
• matrices must be square

Definition at line 561 of file Intrepid2_RealSpaceToolsDef.hpp.

template<typename SpT >

template<typename vecProdValueType , class... vecProdProperties, typename inLeftValueType , class... inLeftProperties, typename inRightValueType , class... inRightProperties>

void Intrepid2::RealSpaceTools< SpT >::vecprod ( Kokkos::DynRankView< vecProdValueType, vecProdProperties...>  vecProd, const Kokkos::DynRankView< inLeftValueType, inLeftProperties...>  inLeft, const Kokkos::DynRankView< inRightValueType, inRightProperties...>  inRight  )

static

Vector product using multidimensional arrays:
vecProd = inVecLeft x inVecRight

Vector multiplication of two "column" vectors stored in arrays (rank 1, 2, or 3) indexed by (D), (i0, D) or (i0, i1, D).

Parameters

vecProd	[in] - vector product indexed by (D), (i0, D) or (i0, i1, D)
inLeft	[in] - left vector argument indexed by (D), (i0, D) or (i0, i1, D)
inRight	[in] - right vector argument indexed by (D), (i0, D) or (i0, i1, D)

Todo:

Need to decide on how to handle vecprod in 2D: is the result a vector, i.e., there's dimension D or a scalar?

Definition at line 1373 of file Intrepid2_RealSpaceToolsDef.hpp.

Referenced by Intrepid2::CellTools< ExecSpaceType >::getPhysicalFaceNormals(), and Intrepid2::CellTools< ExecSpaceType >::getReferenceFaceNormal().

template<typename SpT >

template<typename normArrayValueType , class... normArrayProperties, typename inVecValueType , class... inVecProperties>

void Intrepid2::RealSpaceTools< SpT >::vectorNorm ( Kokkos::DynRankView< normArrayValueType, normArrayProperties...>  normArray, const Kokkos::DynRankView< inVecValueType, inVecProperties...>  inVecs, const ENorm  normType  )

static

Computes norms (1, 2, infinity) of vectors stored in a array of total rank 2 (array of vectors), indexed by (i0, D), or 3 (array of arrays of vectors), indexed by (i0, i1, D).

Parameters

normArray	[out] - norm array indexed by (i0) or (i0, i1)
inVecs	[in] - array of vectors indexed by (i0, D) or (i0, i1, D)
normType	[in] - norm type

Note

Requirements (checked at runtime, in debug mode):

• rank(normArray) == rank(inVecs) - 1
• rank(inVecs) == 2 or 3
• dimensions i0, i1 of normArray and inVecs must agree

Definition at line 481 of file Intrepid2_RealSpaceToolsDef.hpp.

Referenced by Intrepid2::FunctionSpaceTools< ExecSpaceType >::computeEdgeMeasure(), and Intrepid2::FunctionSpaceTools< ExecSpaceType >::computeFaceMeasure().

---

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

• http://docs.trilinos.org/r13.0/packages/intrepid2/src/Shared/Intrepid2_RealSpaceTools.hpp
• http://docs.trilinos.org/r13.0/packages/intrepid2/src/Shared/Intrepid2_RealSpaceToolsDef.hpp