IGLib  1.7.2
The IGLib base library EXTENDED - with other lilbraries and applications.
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Test.MultiIntegrateTest Class Reference

Public Member Functions

Interval[] UnitCube (int d)
 
Interval[] SymmetricUnitCube (int d)
 
void SeperableIntegrals ()
 
void BallVolumeIntegrals ()
 
void ZetaIntegrals ()
 
void DoubleIntegrals ()
 
void WatsonIntegrals ()
 
void SteinmetzVolume ()
 
void RambleIntegrals ()
 
void BoxIntegrals ()
 
void MoreBox ()
 
void IsingIntegrals ()
 
double BoxIntegralB (int d, int r, EvaluationSettings settings)
 
double BoxIntegralD (int d, int r, EvaluationSettings settings)
 
void GaussianIntegrals ()
 

Private Member Functions

double RambleIntegral (int d, int s, EvaluationSettings settings)
 

Member Function Documentation

Interval [] Test.MultiIntegrateTest.UnitCube ( int  d)
inline

References Meta.Numerics.Interval.FromEndpoints().

Referenced by Test.MultiIntegrateTest.BallVolumeIntegrals(), Test.MultiIntegrateTest.DoubleIntegrals(), Test.MultiIntegrateTest.SeperableIntegrals(), and Test.MultiIntegrateTest.ZetaIntegrals().

Interval [] Test.MultiIntegrateTest.SymmetricUnitCube ( int  d)
inline

References Meta.Numerics.Interval.FromEndpoints().

Referenced by Test.MultiIntegrateTest.SteinmetzVolume().

void Test.MultiIntegrateTest.SeperableIntegrals ( )
inline

References Meta.Numerics.Interval.ClosedContains(), Meta.Numerics.UncertainValue.ConfidenceInterval(), Meta.Numerics.Analysis.IntegrationResult.Estimate, Meta.Numerics.Analysis.EvaluationResult.EvaluationCount, Meta.Numerics.Functions.AdvancedIntegerMath.Factorial(), Meta.Numerics.Analysis.MultiFunctionMath.Integrate(), Meta.Numerics.MoreMath.Pow(), and Test.MultiIntegrateTest.UnitCube().

void Test.MultiIntegrateTest.BallVolumeIntegrals ( )
inline

References Meta.Numerics.Interval.ClosedContains(), Meta.Numerics.UncertainValue.ConfidenceInterval(), Meta.Numerics.Analysis.IntegrationResult.Estimate, Meta.Numerics.Analysis.EvaluationResult.EvaluationCount, Meta.Numerics.Functions.AdvancedMath.Gamma(), Meta.Numerics.Analysis.MultiFunctionMath.Integrate(), Meta.Numerics.MoreMath.Pow(), Test.MultiIntegrateTest.UnitCube(), and Meta.Numerics.UncertainValue.Value.

void Test.MultiIntegrateTest.ZetaIntegrals ( )
inline

References Meta.Numerics.Interval.ClosedContains(), Meta.Numerics.UncertainValue.ConfidenceInterval(), Meta.Numerics.Analysis.IntegrationResult.Estimate, Meta.Numerics.Analysis.EvaluationResult.EvaluationCount, Meta.Numerics.Analysis.MultiFunctionMath.Integrate(), Meta.Numerics.Functions.AdvancedMath.RiemannZeta(), Test.MultiIntegrateTest.UnitCube(), and Meta.Numerics.UncertainValue.Value.

void Test.MultiIntegrateTest.DoubleIntegrals ( )
inline

References Meta.Numerics.Functions.AdvancedMath.Catalan, Meta.Numerics.Interval.ClosedContains(), Meta.Numerics.UncertainValue.ConfidenceInterval(), Meta.Numerics.Analysis.IntegrationResult.Estimate, Meta.Numerics.Functions.AdvancedMath.EulerGamma, Meta.Numerics.Analysis.EvaluationResult.EvaluationCount, Meta.Numerics.Analysis.MultiFunctionMath.Integrate(), and Test.MultiIntegrateTest.UnitCube().

void Test.MultiIntegrateTest.WatsonIntegrals ( )
inline

References Meta.Numerics.Interval.ClosedContains(), Meta.Numerics.UncertainValue.ConfidenceInterval(), Meta.Numerics.Analysis.IntegrationResult.Estimate, Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Functions.AdvancedMath.Gamma(), Meta.Numerics.Analysis.MultiFunctionMath.Integrate(), and Meta.Numerics.MoreMath.Pow().

void Test.MultiIntegrateTest.SteinmetzVolume ( )
inline

References Meta.Numerics.Interval.ClosedContains(), Meta.Numerics.UncertainValue.ConfidenceInterval(), Meta.Numerics.Analysis.MultiFunctionMath.Integrate(), and Test.MultiIntegrateTest.SymmetricUnitCube().

void Test.MultiIntegrateTest.RambleIntegrals ( )
inline

References Meta.Numerics.Functions.AdvancedMath.Gamma(), Meta.Numerics.MoreMath.Pow(), Test.MultiIntegrateTest.RambleIntegral(), and Meta.Numerics.Analysis.EvaluationSettings.RelativePrecision.

double Test.MultiIntegrateTest.RambleIntegral ( int  d,
int  s,
EvaluationSettings  settings 
)
inlineprivate

References Meta.Numerics.ComplexMath.Abs(), Meta.Numerics.Analysis.MultiFunctionMath.Integrate(), and Meta.Numerics.MoreMath.Pow().

Referenced by Test.MultiIntegrateTest.RambleIntegrals().

void Test.MultiIntegrateTest.BoxIntegrals ( )
inline

References Meta.Numerics.Analysis.EvaluationSettings.RelativePrecision.

void Test.MultiIntegrateTest.MoreBox ( )
inline
void Test.MultiIntegrateTest.IsingIntegrals ( )
inline

References Meta.Numerics.Analysis.IntegrationResult.Estimate, Meta.Numerics.Analysis.EvaluationResult.EvaluationCount, Meta.Numerics.Functions.AdvancedIntegerMath.Factorial(), Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Analysis.MultiFunctionMath.Integrate(), Meta.Numerics.Functions.AdvancedMath.RiemannZeta(), and Meta.Numerics.MoreMath.Sqr().

double Test.MultiIntegrateTest.BoxIntegralB ( int  d,
int  r,
EvaluationSettings  settings 
)
inline

References Meta.Numerics.Analysis.MultiFunctionMath.Integrate().

double Test.MultiIntegrateTest.BoxIntegralD ( int  d,
int  r,
EvaluationSettings  settings 
)
inline

References Meta.Numerics.Analysis.MultiFunctionMath.Integrate().

void Test.MultiIntegrateTest.GaussianIntegrals ( )
inline

References Meta.Numerics.Matrices.SymmetricMatrix.CholeskyDecomposition(), Meta.Numerics.Interval.ClosedContains(), Meta.Numerics.UncertainValue.ConfidenceInterval(), Meta.Numerics.Matrices.CholeskyDecomposition.Determinant(), Meta.Numerics.Analysis.IntegrationResult.Estimate, Meta.Numerics.Interval.FromEndpoints(), Meta.Numerics.Analysis.MultiFunctionMath.Integrate(), Meta.Numerics.MoreMath.Pow(), and Meta.Numerics.Matrices.ColumnVector.Transpose().

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