exahype2::fv::rusanov::sycl Namespace Reference

Namespaces
namespace	internal

Functions
template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >
KeywordToAvoidDuplicateSymbolsForInlinedFunctions void	timeStepWithRusanovTaskgraphCopyStateless (int targetDevice, CellData< double, double > &patchData) InlineMethod
	All the memory management is discussed in the documentation of GPUCellData.
template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >
KeywordToAvoidDuplicateSymbolsForInlinedFunctions void	timeStepWithRusanovBatchedHeapStateless (int targetDevice, CellData< double, double > &patchData) InlineMethod
template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >
KeywordToAvoidDuplicateSymbolsForInlinedFunctions void	timeStepWithRusanovPatchwiseHeapStateless (int targetDevice, CellData< double, double > &patchData) InlineMethod
template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >
KeywordToAvoidDuplicateSymbolsForInlinedFunctions void	timeStepWithRusanovTaskgraphUSMStateless (int targetDevice, CellData< double, double > &patchData) InlineMethod
template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >
KeywordToAvoidDuplicateSymbolsForInlinedFunctions void	timeStepWithRusanovBatchedUSMStateless (int targetDevice, CellData< double, double > &patchData) InlineMethod
	This version allocates the temporary data on the GPU via a device malloc, handing in the standard memory, and finally frees the memory again.
template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >
KeywordToAvoidDuplicateSymbolsForInlinedFunctions void	timeStepWithRusanovPatchwiseUSMStateless (int targetDevice, CellData< double, double > &patchData) InlineMethod
	1:1 translation of the numerical scheme.
template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >
KeywordToAvoidDuplicateSymbolsForInlinedFunctions void	timeStepWithRusanovTaskgraphManagedStateless (int targetDevice, CellData< double, double > &patchData) InlineMethod
template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >
KeywordToAvoidDuplicateSymbolsForInlinedFunctions void	timeStepWithRusanovBatchedManagedStateless (int targetDevice, CellData< double, double > &patchData) InlineMethod
template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >
KeywordToAvoidDuplicateSymbolsForInlinedFunctions void	timeStepWithRusanovPatchwiseManagedStateless (int targetDevice, CellData< double, double > &patchData) InlineMethod
template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >
KeywordToAvoidDuplicateSymbolsForInlinedFunctions void	timeStepWithRusanovTaskgraphCopyStateless (int targetDevice, CellData< double, double > &patchData, ::tarch::timing::Measurement &measurement) InlineMethod
	Variant of kernel invocation which times core compute time.
template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >
KeywordToAvoidDuplicateSymbolsForInlinedFunctions void	timeStepWithRusanovBatchedHeapStateless (int targetDevice, CellData< double, double > &patchData, ::tarch::timing::Measurement &measurement) InlineMethod
template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >
KeywordToAvoidDuplicateSymbolsForInlinedFunctions void	timeStepWithRusanovPatchwiseHeapStateless (int targetDevice, CellData< double, double > &patchData, ::tarch::timing::Measurement &measurement) InlineMethod
template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >
KeywordToAvoidDuplicateSymbolsForInlinedFunctions void	timeStepWithRusanovTaskgraphUSMStateless (int targetDevice, CellData< double, double > &patchData, ::tarch::timing::Measurement &measurement) InlineMethod
template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >
KeywordToAvoidDuplicateSymbolsForInlinedFunctions void	timeStepWithRusanovBatchedUSMStateless (int targetDevice, CellData< double, double > &patchData, ::tarch::timing::Measurement &measurement) InlineMethod
template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >
KeywordToAvoidDuplicateSymbolsForInlinedFunctions void	timeStepWithRusanovPatchwiseUSMStateless (int targetDevice, CellData< double, double > &patchData, ::tarch::timing::Measurement &measurement) InlineMethod
template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >
KeywordToAvoidDuplicateSymbolsForInlinedFunctions void	timeStepWithRusanovTaskgraphManagedStateless (int targetDevice, CellData< double, double > &patchData, ::tarch::timing::Measurement &measurement) InlineMethod
template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >
KeywordToAvoidDuplicateSymbolsForInlinedFunctions void	timeStepWithRusanovBatchedManagedStateless (int targetDevice, CellData< double, double > &patchData, ::tarch::timing::Measurement &measurement) InlineMethod
template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >
KeywordToAvoidDuplicateSymbolsForInlinedFunctions void	timeStepWithRusanovPatchwiseManagedStateless (int targetDevice, CellData< double, double > &patchData, ::tarch::timing::Measurement &measurement) InlineMethod

Function Documentation

timeStepWithRusanovBatchedHeapStateless() [1/2]

template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >

KeywordToAvoidDuplicateSymbolsForInlinedFunctions void exahype2::fv::rusanov::sycl::timeStepWithRusanovBatchedHeapStateless	(	int	targetDevice,
		CellData< double, double > &	patchData )

Referenced by runBenchmarks().

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timeStepWithRusanovBatchedHeapStateless() [2/2]

template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >

KeywordToAvoidDuplicateSymbolsForInlinedFunctions void exahype2::fv::rusanov::sycl::timeStepWithRusanovBatchedHeapStateless	(	int	targetDevice,
		CellData< double, double > &	patchData,
		::tarch::timing::Measurement &	measurement )

timeStepWithRusanovBatchedManagedStateless() [1/2]

template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >

KeywordToAvoidDuplicateSymbolsForInlinedFunctions void exahype2::fv::rusanov::sycl::timeStepWithRusanovBatchedManagedStateless	(	int	targetDevice,
		CellData< double, double > &	patchData )

Referenced by runBenchmarks().

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timeStepWithRusanovBatchedManagedStateless() [2/2]

template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >

KeywordToAvoidDuplicateSymbolsForInlinedFunctions void exahype2::fv::rusanov::sycl::timeStepWithRusanovBatchedManagedStateless	(	int	targetDevice,
		CellData< double, double > &	patchData,
		::tarch::timing::Measurement &	measurement )

timeStepWithRusanovBatchedUSMStateless() [1/2]

template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >

KeywordToAvoidDuplicateSymbolsForInlinedFunctions void exahype2::fv::rusanov::sycl::timeStepWithRusanovBatchedUSMStateless	(	int	targetDevice,
		CellData< double, double > &	patchData )

This version allocates the temporary data on the GPU via a device malloc, handing in the standard memory, and finally frees the memory again.

That is, the version relies on SYCL's USM to move data automatically forth and back.

Referenced by runBenchmarks().

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timeStepWithRusanovBatchedUSMStateless() [2/2]

template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >

KeywordToAvoidDuplicateSymbolsForInlinedFunctions void exahype2::fv::rusanov::sycl::timeStepWithRusanovBatchedUSMStateless	(	int	targetDevice,
		CellData< double, double > &	patchData,
		::tarch::timing::Measurement &	measurement )

timeStepWithRusanovPatchwiseHeapStateless() [1/2]

template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >

KeywordToAvoidDuplicateSymbolsForInlinedFunctions void exahype2::fv::rusanov::sycl::timeStepWithRusanovPatchwiseHeapStateless	(	int	targetDevice,
		CellData< double, double > &	patchData )

Referenced by runBenchmarks().

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timeStepWithRusanovPatchwiseHeapStateless() [2/2]

template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >

KeywordToAvoidDuplicateSymbolsForInlinedFunctions void exahype2::fv::rusanov::sycl::timeStepWithRusanovPatchwiseHeapStateless	(	int	targetDevice,
		CellData< double, double > &	patchData,
		::tarch::timing::Measurement &	measurement )

timeStepWithRusanovPatchwiseManagedStateless() [1/2]

template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >

KeywordToAvoidDuplicateSymbolsForInlinedFunctions void exahype2::fv::rusanov::sycl::timeStepWithRusanovPatchwiseManagedStateless	(	int	targetDevice,
		CellData< double, double > &	patchData )

timeStepWithRusanovPatchwiseManagedStateless() [2/2]

template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >

KeywordToAvoidDuplicateSymbolsForInlinedFunctions void exahype2::fv::rusanov::sycl::timeStepWithRusanovPatchwiseManagedStateless	(	int	targetDevice,
		CellData< double, double > &	patchData,
		::tarch::timing::Measurement &	measurement )

timeStepWithRusanovPatchwiseUSMStateless() [1/2]

template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >

KeywordToAvoidDuplicateSymbolsForInlinedFunctions void exahype2::fv::rusanov::sycl::timeStepWithRusanovPatchwiseUSMStateless	(	int	targetDevice,
		CellData< double, double > &	patchData )

1:1 translation of the numerical scheme.

This version allocates the temporary data on the GPU via a device malloc, handing in the standard memory, and finally frees the memory again. That is, the version relies on SYCL's USM to move data automatically forth and back.

Referenced by runBenchmarks().

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timeStepWithRusanovPatchwiseUSMStateless() [2/2]

template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >

KeywordToAvoidDuplicateSymbolsForInlinedFunctions void exahype2::fv::rusanov::sycl::timeStepWithRusanovPatchwiseUSMStateless	(	int	targetDevice,
		CellData< double, double > &	patchData,
		::tarch::timing::Measurement &	measurement )

timeStepWithRusanovTaskgraphCopyStateless() [1/2]

template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >

KeywordToAvoidDuplicateSymbolsForInlinedFunctions void exahype2::fv::rusanov::sycl::timeStepWithRusanovTaskgraphCopyStateless	(	int	targetDevice,
		CellData< double, double > &	patchData )

All the memory management is discussed in the documentation of GPUCellData.

Task-graph implementation with copying

Task-graph realisation of the kernel where the input data and result are explicitly copied forth and back between GPU and CPU. This routine employs GPUCopyCellData as a wrapper around the host data.

After that, the call is forwarded to the corresponding internal implementation.

See also

exahype2::fv::rusanov::sycl::internal

Referenced by runBenchmarks().

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timeStepWithRusanovTaskgraphCopyStateless() [2/2]

template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >

KeywordToAvoidDuplicateSymbolsForInlinedFunctions void exahype2::fv::rusanov::sycl::timeStepWithRusanovTaskgraphCopyStateless	(	int	targetDevice,
		CellData< double, double > &	patchData,
		::tarch::timing::Measurement &	measurement )

Variant of kernel invocation which times core compute time.

timeStepWithRusanovTaskgraphManagedStateless() [1/2]

template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >

KeywordToAvoidDuplicateSymbolsForInlinedFunctions void exahype2::fv::rusanov::sycl::timeStepWithRusanovTaskgraphManagedStateless	(	int	targetDevice,
		CellData< double, double > &	patchData )

timeStepWithRusanovTaskgraphManagedStateless() [2/2]

template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >

KeywordToAvoidDuplicateSymbolsForInlinedFunctions void exahype2::fv::rusanov::sycl::timeStepWithRusanovTaskgraphManagedStateless	(	int	targetDevice,
		CellData< double, double > &	patchData,
		::tarch::timing::Measurement &	measurement )

timeStepWithRusanovTaskgraphUSMStateless() [1/2]

template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >

KeywordToAvoidDuplicateSymbolsForInlinedFunctions void exahype2::fv::rusanov::sycl::timeStepWithRusanovTaskgraphUSMStateless	(	int	targetDevice,
		CellData< double, double > &	patchData )

Referenced by runBenchmarks().

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timeStepWithRusanovTaskgraphUSMStateless() [2/2]

template<class SolverType , std::size_t NumberOfVolumesPerAxisInPatch, std::size_t HaloSize, std::size_t NumberOfUnknowns, std::size_t NumberOfAuxiliaryVariables, bool EvaluateFlux, bool EvaluateNonconservativeProduct, bool EvaluateSource, bool EvaluateMaximumEigenvalueAfterTimeStep, class TempDataEnumeratorType >

KeywordToAvoidDuplicateSymbolsForInlinedFunctions void exahype2::fv::rusanov::sycl::timeStepWithRusanovTaskgraphUSMStateless	(	int	targetDevice,
		CellData< double, double > &	patchData,
		::tarch::timing::Measurement &	measurement )