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=========
Functions
=========
.. currentmodule:: openturns
General mathematical functions
==============================
.. autosummary::
:toctree: _generated/
:template: class.rst_t
NumericalMathFunction
PythonFunction
OpenTURNSPythonFunction
Various functions
=================
.. autosummary::
:toctree: _generated/
:template: class.rst_t
ComposedNumericalMathFunction
LinearNumericalMathFunction
ProductNumericalMathFunction
QuadraticNumericalMathFunction
Dynamical functions
===================
.. autosummary::
:toctree: _generated/
:template: class.rst_t
DynamicalFunction
PythonDynamicalFunction
SpatialFunction
TemporalFunction
Collection of functions
=======================
.. autosummary::
:toctree: _generated/
:template: class.rst_t
Basis
FunctionalBasis
OrthogonalBasis
BasisSequence
Finite differentiation schemes
==============================
.. autosummary::
:toctree: _generated/
:template: class.rst_t
CenteredFiniteDifferenceGradient
CenteredFiniteDifferenceHessian
FiniteDifferenceGradient
FiniteDifferenceHessian
NonCenteredFiniteDifferenceGradient
FiniteDifferenceStep
ConstantStep
BlendedStep
Evaluation functions
====================
.. autosummary::
:toctree: _generated/
:template: class.rst_t
NumericalMathEvaluationImplementation
AggregatedNumericalMathEvaluationImplementation
AnalyticalNumericalMathEvaluationImplementation
ComposedNumericalMathEvaluationImplementation
DatabaseNumericalMathEvaluationImplementation
DualLinearCombinationEvaluationImplementation
IndicatorNumericalMathEvaluationImplementation
LinearCombinationEvaluationImplementation
LinearNumericalMathEvaluationImplementation
MarginalTransformationEvaluation
NoNumericalMathEvaluationImplementation
ParametricEvaluationImplementation
PiecewiseHermiteEvaluationImplementation
PiecewiseLinearEvaluationImplementation
P1LagrangeEvaluationImplementation
ProductNumericalMathEvaluationImplementation
ProductPolynomialEvaluationImplementation
QuadraticNumericalMathEvaluationImplementation
Gradient functions
==================
.. autosummary::
:toctree: _generated/
:template: class.rst_t
NumericalMathGradientImplementation
AnalyticalNumericalMathGradientImplementation
ComposedNumericalMathGradientImplementation
ConstantNumericalMathGradientImplementation
DualLinearCombinationGradientImplementation
LinearCombinationGradientImplementation
LinearNumericalMathGradientImplementation
NoNumericalMathGradientImplementation
ParametricGradientImplementation
ProductNumericalMathGradientImplementation
Hessian functions
=================
.. autosummary::
:toctree: _generated/
:template: class.rst_t
NumericalMathHessianImplementation
AnalyticalNumericalMathHessianImplementation
ComposedNumericalMathHessianImplementation
ConstantNumericalMathHessianImplementation
DualLinearCombinationHessianImplementation
LinearCombinationHessianImplementation
NoNumericalMathHessianImplementation
ParametricHessianImplementation
ProductNumericalMathHessianImplementation
Cross-validation algorithm
==========================
.. autosummary::
:toctree: _generated/
:template: class.rst_t
ODESolver
RungeKutta
Special constants & functions
=============================
Numerical constants
-------------------
.. FAILS: http://trac.openturns.org/ticket/724
.. autodata:: SpecFunc.EULERSQRT6_PI
.. autodata:: SpecFunc.EulerConstant
.. autodata:: SpecFunc.ISQRT2PI
.. autodata:: SpecFunc.LogMaxNumericalScalar
.. autodata:: SpecFunc.LogMinNumericalScalar
.. autodata:: SpecFunc.LOGSQRT2PI
.. autodata:: SpecFunc.MaxNumericalScalar
.. autodata:: SpecFunc.MaximumIteration
.. autodata:: SpecFunc.MinNumericalScalar
.. autodata:: SpecFunc.NumericalScalarEpsilon
.. autodata:: SpecFunc.PI2_3
.. autodata:: SpecFunc.PI2_6
.. autodata:: SpecFunc.PI_SQRT3
.. autodata:: SpecFunc.PI_SQRT6
.. autodata:: SpecFunc.Precision
.. autodata:: SpecFunc.SQRT2PI
.. autodata:: SpecFunc.SQRT3_PI
.. autodata:: SpecFunc.ZETA3
Special functions
-----------------
Special functions are implemented as C++ static methods and are hence casted
as Python functions.
.. autosummary::
:toctree: _generated/
:template: function.rst_t
SpecFunc_BesselI0
SpecFunc_BesselI1
SpecFunc_BesselK
SpecFunc_Beta
SpecFunc_BitCount
SpecFunc_Cbrt
SpecFunc_Dawson
SpecFunc_Debye
SpecFunc_DiGamma
SpecFunc_DiGammaInv
SpecFunc_DiLog
SpecFunc_Ei
SpecFunc_Erf
SpecFunc_ErfC
SpecFunc_ErfCX
SpecFunc_ErfI
SpecFunc_ErfInverse
SpecFunc_Expm1
SpecFunc_Faddeeva
SpecFunc_FaddeevaIm
SpecFunc_Gamma
SpecFunc_GammaCorrection
SpecFunc_HyperGeom_1_1
SpecFunc_HyperGeom_2_1
SpecFunc_HyperGeom_2_2
SpecFunc_IGamma1pm1
SpecFunc_IncompleteBeta
SpecFunc_IncompleteBetaInverse
SpecFunc_IncompleteGamma
SpecFunc_IncompleteGammaInverse
SpecFunc_LambertW
SpecFunc_LnBeta
SpecFunc_LnGamma
SpecFunc_Log1MExp
SpecFunc_Log1p
SpecFunc_LogBesselI0
SpecFunc_LogBesselI1
SpecFunc_LogBesselK
SpecFunc_LogBeta
SpecFunc_LogGamma
SpecFunc_LogGamma1p
SpecFunc_NextPowerOfTwo
SpecFunc_Psi
SpecFunc_RegularizedIncompleteBeta
SpecFunc_RegularizedIncompleteBetaInverse
SpecFunc_RegularizedIncompleteGamma
SpecFunc_RegularizedIncompleteGammaInverse
SpecFunc_TriGamma
External code coupling
======================
.. autosummary::
:toctree: _generated/
:template: function.rst_t
coupling_tools.replace
coupling_tools.execute
coupling_tools.get_value
coupling_tools.get_line_col
coupling_tools.get_regex
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