========= Functions ========= .. currentmodule:: openturns General mathematical functions ============================== .. autosummary:: :toctree: _generated/ :template: class.rst_t Function 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 :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 PythonFieldFunction ValueFunction VertexValueFunction PythonFieldFunction PythonFieldToPointFunction PythonPointToFieldFunction OpenTURNSPythonFieldFunction OpenTURNSPythonFieldToPointFunction OpenTURNSPythonPointToFieldFunction P1LagrangeInterpolation 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 EvaluationImplementation AggregatedEvaluation ComposedEvaluation DatabaseEvaluation DistanceToDomainEvaluation DualLinearCombinationEvaluation IndicatorEvaluation LinearCombinationEvaluation LinearEvaluation MarginalEvaluation MarginalTransformationEvaluation MemoizeEvaluation NoEvaluation ParametricEvaluation PiecewiseHermiteEvaluation PiecewiseLinearEvaluation P1LagrangeEvaluation 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 constants & functions ============================= 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.AccurateSum SpecFunc.BesselI0 SpecFunc.BesselI1 SpecFunc.BesselK SpecFunc.BesselKDerivative SpecFunc.Beta SpecFunc.BinomialCoefficient SpecFunc.BitCount SpecFunc.Cbrt 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.LnBeta SpecFunc.LnGamma 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 TimerCallback .. _coupling_tools: 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