nurbs_utilities.h File Reference

#include "containers/array_1d.h"

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Namespaces
	Kratos
	REF: G. R. Cowper, GAUSSIAN QUADRATURE FORMULAS FOR TRIANGLES.
	Kratos::NurbsUtilities
	Utility functions for NURBS computation.

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

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