========= 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 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 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 SymbolicEvaluation ComposedEvaluation DatabaseEvaluation DualLinearCombinationEvaluation IndicatorEvaluation LinearCombinationEvaluation LinearEvaluation MarginalTransformationEvaluation NoEvaluation ParametricEvaluation PiecewiseHermiteEvaluation PiecewiseLinearEvaluation P1LagrangeEvaluation ProductEvaluation ProductPolynomialEvaluation QuadraticEvaluation MarginalEvaluation 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 ============================= Numerical constants ------------------- .. FAILS: http://trac.openturns.org/ticket/724 .. autodata:: SpecFunc.EULERSQRT6_PI .. autodata:: SpecFunc.EulerConstant .. autodata:: SpecFunc.ISQRT2PI .. autodata:: SpecFunc.LogMaxScalar .. autodata:: SpecFunc.LogMinScalar .. autodata:: SpecFunc.LOGSQRT2PI .. autodata:: SpecFunc.MaxScalar .. autodata:: SpecFunc.MaximumIteration .. autodata:: SpecFunc.MinScalar .. autodata:: SpecFunc.ScalarEpsilon .. 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_BinomialCoefficient 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_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