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=========
Functions
=========
.. currentmodule:: openturns
General mathematical functions
==============================
.. autosummary::
:toctree: _generated/
:template: class.rst_t
Function
FunctionImplementation
SymbolicFunction
TranslationFunction
:template: classWithPlot.rst_t
LinearFunction
QuadraticFunction
:template: class.rst_t
DatabaseFunction
PythonFunction
OpenTURNSPythonFunction
MemoizeFunction
Algebra of functions
====================
.. autosummary::
:toctree: _generated/
:template: class.rst_t
AggregatedFunction
:template: classWithPlot.rst_t
ComposedFunction
:template: class.rst_t
DistanceToDomainFunction
DualLinearCombinationFunction
IdentityFunction
:template: classWithPlot.rst_t
IndicatorFunction
LinearCombinationFunction
:template: class.rst_t
ParametricFunction
:template: classWithPlot.rst_t
ProductFunction
:template: class.rst_t
PointToPointEvaluation
FieldToFieldConnection
FieldToPointConnection
PointToFieldConnection
PointToPointConnection
Field and mixed functions
=========================
Refer to :ref:`field_function`.
.. autosummary::
:toctree: _generated/
:template: class.rst_t
FieldFunction
FieldToPointFunction
PointToFieldFunction
ParametricPointToFieldFunction
VertexValuePointToFieldFunction
ValueFunction
VertexValueFunction
PythonFieldFunction
PythonFieldToPointFunction
PythonPointToFieldFunction
OpenTURNSPythonFieldFunction
OpenTURNSPythonFieldToPointFunction
OpenTURNSPythonPointToFieldFunction
Collection of functions
=======================
.. autosummary::
:toctree: _generated/
:template: class.rst_t
Basis
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
Evaluation
EvaluationImplementation
AggregatedEvaluation
ComposedEvaluation
DatabaseEvaluation
DistanceToDomainEvaluation
DualLinearCombinationEvaluation
IndicatorEvaluation
LinearCombinationEvaluation
LinearEvaluation
MarginalEvaluation
MemoizeEvaluation
NoEvaluation
ParametricEvaluation
PiecewiseHermiteEvaluation
PiecewiseLinearEvaluation
P1LagrangeInterpolation
:template: classWithPlot.rst_t
P1LagrangeEvaluation
:template: class.rst_t
ProductEvaluation
ProductPolynomialEvaluation
QuadraticEvaluation
SymbolicEvaluation
TranslationEvaluation
Gradient functions
==================
.. autosummary::
:toctree: _generated/
:template: class.rst_t
GradientImplementation
SymbolicGradient
ComposedGradient
ConstantGradient
DualLinearCombinationGradient
LinearCombinationGradient
LinearGradient
NoGradient
ParametricGradient
ProductGradient
MarginalGradient
Hessian functions
=================
.. autosummary::
:toctree: _generated/
:template: class.rst_t
HessianImplementation
SymbolicHessian
ComposedHessian
ConstantHessian
DualLinearCombinationHessian
LinearCombinationHessian
NoHessian
NullHessian
ParametricHessian
ProductHessian
MarginalHessian
Differential equation solvers
=============================
.. autosummary::
:toctree: _generated/
:template: class.rst_t
ODESolver
:template: ODESolver.rst_t
RungeKutta
Fehlberg
Special functions
=================
Special functions are implemented as C++ static methods and are available
as Python functions.
.. autosummary::
:toctree: _generated/
:template: function.rst_t
SpecFunc.AccurateSum
SpecFunc.BesselI0
SpecFunc.BesselI1
SpecFunc.BesselK
SpecFunc.BesselKDerivative
SpecFunc.Beta
SpecFunc.BitCount
SpecFunc.Clip01
SpecFunc.Dawson
SpecFunc.Debye
SpecFunc.DeltaLogBesselI10
SpecFunc.DiGamma
SpecFunc.DiGammaInv
SpecFunc.DiLog
SpecFunc.Ei
SpecFunc.Erf
SpecFunc.ErfC
SpecFunc.ErfCX
SpecFunc.ErfI
SpecFunc.ErfInverse
SpecFunc.Expm1
SpecFunc.Factorial
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.IPow
SpecFunc.IRoot
SpecFunc.IsNormal
SpecFunc.LambertW
SpecFunc.Log1MExp
SpecFunc.Log1p
SpecFunc.Log2
SpecFunc.LogBesselI0
SpecFunc.LogBesselI1
SpecFunc.LogBesselK
SpecFunc.LogBeta
SpecFunc.LogFactorial
SpecFunc.LogGamma
SpecFunc.LogGamma1p
SpecFunc.NextPowerOfTwo
SpecFunc.Psi
SpecFunc.RegularizedIncompleteBeta
SpecFunc.RegularizedIncompleteBetaInverse
SpecFunc.RegularizedIncompleteGamma
SpecFunc.RegularizedIncompleteGammaInverse
SpecFunc.Stirlerr
SpecFunc.TriGamma
.. _coupling_tools:
Special constants
=================
- SpecFunc.Infinity : inf
- SpecFunc.MaxScalar : maximum float value
- SpecFunc.LogMaxScalar : log of SpecFunc.MaxScalar
- SpecFunc.MinScalar : minimum positive float value
- SpecFunc.LowestScalar : -inf
- SpecFunc.LogMinScalar : log of SpecFunc.MinScalar
External code coupling
======================
These methods are dedicated to coupling external codes by means of text files.
.. 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
coupling_tools.get
1-D functions
=============
.. autosummary::
:toctree: _generated/
:template: class.rst_t
UniVariateFunction
.. _testing_module:
Testing module
==============
This module is dedicated to the development in the library.
.. autosummary::
:toctree: _generated/
:template: function.rst_t
testing.assert_almost_equal
:template: class.rst_t
testing.DistributionValidation
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