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%feature("docstring") OT::SORMResult
"Result of a SORM analysis.

Available constructors:
    SORMResult(*designPoint, limitStateVariable, isInFailureSpace*)

Notes
-----
Structure created by the method run() of the :class:`~openturns.SORM`
class and obtained thanks to its method getResult().

Parameters
----------
designPoint : sequence of float
    Design point in the standard space resulting from the optimization
    algorithm.
limitStateVariable : :class:`~openturns.Event`
    Event of which the probability is calculated.
isInFailureSpace : bool
    Indicates whether the origin of the standard space is in the failure space.


See also
--------
Analytical, AnalyticalResult, FORM, FORMResult, StrongMaximumTest"


// ---------------------------------------------------------------------

%feature("docstring") OT::SORMResult::getEventProbabilityBreitung
"Accessor to the failure probability :math:`P_{Breitung}`.

Returns
-------
probability : positive float
    The SORM failure probability :math:`P_{Breitung}` according to the
    :ref:`Breitung <Breitung_formula>` approximation."

// ---------------------------------------------------------------------

%feature("docstring") OT::SORMResult::getEventProbabilityHohenBichler
"Accessor to the failure probability :math:`P_{Hohenbichler}`.

Returns
-------
probability : positive float
    The SORM failure probability :math:`P_{Hohenbichler}` according to the
    :ref:`Hohen Bichler <Hohenbichler_formula>` approximation."

// ---------------------------------------------------------------------

%feature("docstring") OT::SORMResult::getEventProbabilityTvedt
"Accessor to the failure probability :math:`P_{Tvedt}`.

Returns
-------
probability : positive float
    The SORM failure probability :math:`P_{Tvedt}` according to the
    :ref:`Tvedt <Tvedt_formula>` approximation."

// ---------------------------------------------------------------------

%feature("docstring") OT::SORMResult::getGeneralisedReliabilityIndexBreitung
"Accessor to the Generalised Reliability Index Breitung.

Returns
-------
index : float
    Generalised reliability index evaluated from the Breitung SORM failure
    probability.

    .. math::

        \\\\beta_{Breitung} = \\\\left \\\\{
        \\\\begin{array}{ll}
        \\\\displaystyle -\\\\Phi(P_{Breitung})
        & \\\\text{if the standard space origin is not in the failure space} \\\\\\\\
        \\\\displaystyle \\\\Phi(P_{Breitung}) & \\\\text{otherwise}
        \\\\end{array}
        \\\\right."

// ---------------------------------------------------------------------

%feature("docstring") OT::SORMResult::getGeneralisedReliabilityIndexHohenBichler
"Accessor to the Generalised Reliability Index HohenBichler.

Returns
-------
index : float
    Generalised reliability index evaluated from the Hohen Bichler SORM failure
    probability.

    .. math::

        \\\\beta_{Hohenbichler} = \\\\left \\\\{
        \\\\begin{array}{ll}
        \\\\displaystyle -\\\\Phi(P_{Hohenbichler})
        & \\\\text{if the standard space origin is not in the failure space} \\\\\\\\
        \\\\displaystyle \\\\Phi(P_{Hohenbichler}) & \\\\text{otherwise}
        \\\\end{array}
        \\\\right."

// ---------------------------------------------------------------------

%feature("docstring") OT::SORMResult::getGeneralisedReliabilityIndexTvedt
"Accessor to the Generalised Reliability Index Tvedt.

Returns
-------
index : float
    Generalised reliability index evaluated from the Tvedt SORM failure
    probability.

    .. math::

        \\\\beta_{Tvedt} = \\\\left \\\\{
        \\\\begin{array}{ll}
        \\\\displaystyle -\\\\Phi(P_{Tvedt})
        & \\\\text{if the standard space origin is not in the failure space} \\\\\\\\
        \\\\displaystyle \\\\Phi(P_{Tvedt}) & \\\\text{otherwise}
        \\\\end{array}
        \\\\right."

// ---------------------------------------------------------------------

%feature("docstring") OT::SORMResult::getSortedCurvatures
"Accessor to the sorted curvatures.

Returns
-------
curvatures : :class:`~openturns.NumericalPoint`
    Curvatures of the standard limite state function at the standard design
    point :math:`(\\\\kappa_i)_{1 \\\\leq i \\\\leq n-1}` with :math:`n` the dimension
    of the random vector :math:`\\\\vect{X}`."