Kratos::NurbsUtilities Namespace Reference

Utility functions for NURBS computation. More...

Typedefs
Type Definitions
typedef std::size_t	IndexType
typedef std::size_t	SizeType

Functions
Static Operations
IndexType	GetUpperSpan (const SizeType PolynomialDegree, const Vector &rKnots, const double ParameterT)
IndexType	GetLowerSpan (const SizeType PolynomialDegree, const Vector &rKnots, const double ParameterT)
SizeType	GetPolynomialDegree (const SizeType NumberOfKnots, const SizeType NumberOfControlPoints)
SizeType	GetNumberOfKnots (const SizeType PolynomialDegree, const SizeType NumberOfControlPoints)
SizeType	GetNumberOfControlPoints (const SizeType PolynomialDegree, const SizeType NumberOfKnots)
SizeType	GetNumberOfSpans (const SizeType PolynomialDegree, const SizeType NumberOfKnots)
static constexpr SizeType	GetBinomCoefficient (const SizeType N, const SizeType K) noexcept
static constexpr IndexType	GetVectorIndexFromMatrixIndices (const SizeType NumberPerRow, const SizeType NumberPerColumn, const IndexType RowIndex, const IndexType ColumnIndex) noexcept
static constexpr IndexType	GetVectorIndexFromMatrixIndices (const SizeType NumberPerRow, const SizeType NumberPerColumn, const SizeType NumberPerDepth, const IndexType RowIndex, const IndexType ColumnIndex, const IndexType DepthIndex) noexcept
	Computes a vector index from three matrix indices. More...
static std::pair< IndexType, IndexType >	GetMatrixIndicesFromVectorIndex (const SizeType NumberPerRow, const SizeType NumberPerColumn, const IndexType Index) noexcept
static array_1d< IndexType, 3 >	GetMatrixIndicesFromVectorIndex (const SizeType NumberPerRow, const SizeType NumberPerColumn, const SizeType NumberPerDepth, const IndexType Index) noexcept
	Computes three matrix indices from vector index. More...

Detailed Description

Utility functions for NURBS computation.

Typedef Documentation

IndexType

typedef std::size_t Kratos::NurbsUtilities::IndexType

SizeType

typedef std::size_t Kratos::NurbsUtilities::SizeType

Function Documentation

GetBinomCoefficient()

static constexpr SizeType Kratos::NurbsUtilities::GetBinomCoefficient ( const SizeType  N, const SizeType  K  )

inlinestaticconstexprnoexcept

GetLowerSpan()

IndexType Kratos::NurbsUtilities::GetLowerSpan ( const SizeType  PolynomialDegree, const Vector &  rKnots, const double  ParameterT  )

inline

GetMatrixIndicesFromVectorIndex() [1/2]

static std::pair<IndexType, IndexType> Kratos::NurbsUtilities::GetMatrixIndicesFromVectorIndex ( const SizeType  NumberPerRow, const SizeType  NumberPerColumn, const IndexType  Index  )

inlinestaticnoexcept

GetMatrixIndicesFromVectorIndex() [2/2]

static array_1d<IndexType,3> Kratos::NurbsUtilities::GetMatrixIndicesFromVectorIndex ( const SizeType  NumberPerRow, const SizeType  NumberPerColumn, const SizeType  NumberPerDepth, const IndexType  Index  )

inlinestaticnoexcept

Computes three matrix indices from vector index.

Matrix serialization: First walk along rows, then colums, then into depths.

Returns

indices within Matrix.

GetNumberOfControlPoints()

SizeType Kratos::NurbsUtilities::GetNumberOfControlPoints ( const SizeType  PolynomialDegree, const SizeType  NumberOfKnots  )

inline

GetNumberOfKnots()

SizeType Kratos::NurbsUtilities::GetNumberOfKnots ( const SizeType  PolynomialDegree, const SizeType  NumberOfControlPoints  )

inline

GetNumberOfSpans()

SizeType Kratos::NurbsUtilities::GetNumberOfSpans ( const SizeType  PolynomialDegree, const SizeType  NumberOfKnots  )

inline

GetPolynomialDegree()

SizeType Kratos::NurbsUtilities::GetPolynomialDegree ( const SizeType  NumberOfKnots, const SizeType  NumberOfControlPoints  )

inline

GetUpperSpan()

IndexType Kratos::NurbsUtilities::GetUpperSpan ( const SizeType  PolynomialDegree, const Vector &  rKnots, const double  ParameterT  )

inline

GetVectorIndexFromMatrixIndices() [1/2]

static constexpr IndexType Kratos::NurbsUtilities::GetVectorIndexFromMatrixIndices ( const SizeType  NumberPerRow, const SizeType  NumberPerColumn, const IndexType  RowIndex, const IndexType  ColumnIndex  )

inlinestaticconstexprnoexcept

GetVectorIndexFromMatrixIndices() [2/2]

static constexpr IndexType Kratos::NurbsUtilities::GetVectorIndexFromMatrixIndices ( const SizeType  NumberPerRow, const SizeType  NumberPerColumn, const SizeType  NumberPerDepth, const IndexType  RowIndex, const IndexType  ColumnIndex, const IndexType  DepthIndex  )

inlinestaticconstexprnoexcept

Computes a vector index from three matrix indices.

Matrix serialization: First walk along rows, then colums, then into depths.

Returns

Index within vector.