========= 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