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zc_OXzeiD4*fo7@GludM4JEp5Iwat*ZM6O<^4PH8~)hQ>faLBiMY{whAChAXs7i~BI zIgGU6-BCw={q*&}?{uNW=qDTsm-`#^KQ7D3+L#hQa<1#e(|h5bve%j0*EYMdpbeN6 zTS`k52!a8G|G)>SWs{QY(>H2rPE7==vc?dGC#ygn?iIU2=!9wTT~& z$}6d0g~g{{9Vr>UfJ5zfnO85Bj?h3#FipSfv_&H#EUQUW@i{+=F8%U+F6kH2WFDQ4 z*U18(3^=nN-FbWiZ>Qh6N+ik&Ck#!?K;Rq>oc%iX;E{4)A1)OU)*Oz(x`3X-F>H$U#5=G zgtQLFvs^E$ZIrBqfnBn3S+xHer_Z!=G|tpJ#WnH$2Z~EYcR;_5<#9g~ZTzH!4Aau2 ztCoN9)Qsm~~Pfe=6tYbwoBl;Y`&r{lYy?eFlpb`vPde_1)D~3zy zLqW&cPq2?7z+%{``P2@|oR3t)QuUKO{BXGl5?g8Ie6Z!7ds#GjI?UsoesQCpbk@v@jd2 ze|dj@P<%Dh)6Xo#lJbh_vnN#3C?O+3^{&-S=!+N-11xR4-lZ3-(mKS|3oMktJ+S`z zAE9tAz$yk}t@iF~0Am6e;Z<+r;*6D)B6yrT-dr(?>8#EylL)AJs)5NetB_0H9GF2= zk7hMmPe}0h{kn2}o;HyEpYO#`9ssZK;ERg`6? zTj;!GR#D@XRFdCzZ_#VHZe-buo*?@$N8~oJijzhKsq2 + + + + + + + + bladex.blade — BladeX 0.0.1 documentation + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + +
+ + + + + + +
+
+ + + + + + +
+ +
+
+
+
+ +

Source code for bladex.blade

+"""
+Module for the blade bottom-up parametrized construction.
+"""
+import numpy as np
+import matplotlib.pyplot as plt
+from mpl_toolkits.mplot3d import Axes3D
+
+
+
[docs]class Blade(object):
+    """
+    Bottom-up parametrized blade construction.
+
+    Given the following parameters of a propeller blade:
+
+        - :math:`(X, Y)` coordinates of the blade cylindrical sections after
+          being expanded in 2D to create airfoils.
+
+        - Radial distance :math:`(r_i)` from the propeller axis of rotation
+          to each cylindrical section.
+
+        - Pitch angle :math:`(\\varphi)`, for each cylindrical section.
+
+        - Rake :math:`(k)`, in distance units, for each cylindrical section.
+
+        - Skew angle :math:`(\\theta_s)`, for each cylindrical section.
+
+    then, a bottom-up construction procedure is performed by applying series of
+    transformation operations on the airfoils according to the provided
+    parameters, to end up with a 3D CAD model of the blade, which can be
+    exported into IGES format. Also surface or volume meshes can be obtained.
+
+    Useful definitions on the propeller geometry:
+
+        - Blade cylindrical section: the cross section of a blade cut by a
+          cylinder whose centerline is the propeller axis of rotation.
+          We may also refer as "radial section".
+
+        - Pitch :math:`(P)`: the linear distance that a propeller would move in
+          one revolution with no slippage. The geometric pitch angle
+          :math:`(\\varphi)` is the angle between the pitch reference line
+          and a line perpendicular to the propeller axis of rotation.
+
+        .. math::
+            tan (\\varphi) = \\frac{\\text{pitch}}
+            {\\text{propeller circumference}} = \\frac{P}{2 \\pi r}
+
+        - Rake: the fore or aft slant of the blade with respect to a line
+          perpendicular to the propeller axis of rotation.
+
+        - Skew: the transverse sweeping of a blade such that viewing the blades
+          from fore or aft would show an asymmetrical shape.
+
+    References:
+
+    - Carlton, J. Marine propellers and propulsion. Butterworth-Heinemann, 2012.
+      http://navalex.com/downloads/Michigan_Wheel_Propeller_Geometry.pdf
+
+    - J. Babicz. Wartsila Encyclopedia of Ship Technology. 2nd ed. Wartsila
+      Corporation. 2015.
+
+    .. _transformation_operations:
+
+    Transformation operations according to the provided parameters:
+
+    .. figure:: ../../readme/transformations.png
+       :scale: 75 %
+       :alt: transformations
+
+       Airfoil 2D transformations corresponding to the pitch, rake, and skew of
+       the blade expanded cylindrical section.
+
+    --------------------------
+
+    :param array_like sections: 1D array, each element is an object of the
+        BaseProfile class at specific radial section.
+    :param array_like radii: 1D array, contains the radii values of the
+        sectional profiles.
+    :param array_like chord_lengths: 1D array, contains the value of the
+        airfoil's chord length for each radial section of the blade.
+    :param array_like pitch: 1D array, contains the local pitch values
+        (in unit length) for each radial section of the blade.
+    :param array_like rake: 1D array, contains the local rake values for each
+        radial section of the blade.
+    :param array_like skew_angles: 1D array, contains the skew angles
+        (in degrees) for each radial section of the blade.
+
+    Note that, each of the previous array_like parameters must be consistent
+    with the other parameters in terms of the radial ordering of the blade
+    sections. In particular, an array_like elements must follow the radial
+    distribution of the blade sections starting from the blade root and ends up
+    with the blade tip since the blade surface generator depends on that order.
+
+    Finally, beware that the profiles class objects in the array 'sections'
+    undergo several transformations that affect their coordinates. Therefore
+    the array must be specific to each blade class instance. For example, if
+    we generate 12 sectional profiles using NACA airfoils and we need to use
+    them in two different blade classes, then we should instantiate two class
+    objects for the profiles, as well as the blade. The following example
+    explains the fault and the correct implementations (assuming assuming we
+    already have the arrays radii, chord, pitch, rake, skew):
+
+    INCORRECT IMPLEMENTATION:
+
+    >>> sections = [bladex.profiles.NacaProfile(digits='0012', n_points=240,
+                    cosine_spacing=True) for i in range(12)]
+    >>> blade_1 = Blade(
+                    sections=sections,
+                    radii=radii,
+                    chord_lengths=chord,
+                    pitch=pitch,
+                    rake=rake,
+                    skew_angles=skew)
+    >>> blade_1.apply_transformations()
+    >>> blade_2 = Blade(
+                    sections=sections,
+                    radii=radii,
+                    chord_lengths=chord,
+                    pitch=pitch,
+                    rake=rake,
+                    skew_angles=skew)
+    >>> blade_2.apply_transformations()
+
+    The previous implementation would lead into erroneous blade coordinates due
+    to the transformed data in the array sections
+
+    CORRECT IMPLEMENTATION:
+
+    >>> sections_1 = [bladex.profiles.NacaProfile(digits='0012', n_points=240,
+                      cosine_spacing=True) for i in range(12)]
+    >>> sections_2 = [bladex.profiles.NacaProfile(digits='0012', n_points=240,
+                      cosine_spacing=True) for i in range(12)]
+    >>> blade_1 = Blade(
+                    sections=sections_1,
+                    radii=radii,
+                    chord_lengths=chord,
+                    pitch=pitch,
+                    rake=rake,
+                    skew_angles=skew)
+    >>> blade_1.apply_transformations()
+    >>> blade_2 = Blade(
+                    sections=sections_2,
+                    radii=radii,
+                    chord_lengths=chord,
+                    pitch=pitch,
+                    rake=rake,
+                    skew_angles=skew)
+    >>> blade_2.apply_transformations()
+    """
+
+    def __init__(self, sections, radii, chord_lengths, pitch, rake,
+                 skew_angles):
+        # Data are given in absolute values
+        self.sections = sections
+        self.n_sections = len(sections)
+        self.radii = radii
+        self.chord_lengths = chord_lengths
+        self.pitch = pitch
+        self.rake = rake
+        self.skew_angles = skew_angles
+        self._check_params()
+
+        self.pitch_angles = self._compute_pitch_angle()
+        self.induced_rake = self._induced_rake_from_skew()
+
+        self.blade_coordinates_up = []
+        self.blade_coordinates_down = []
+
+
[docs]    def _check_params(self):
+        """
+        Private method to check if all the blade arguments are numpy.ndarrays
+        with the same shape.
+        """
+        if not isinstance(self.sections, np.ndarray):
+            self.sections = np.asarray(self.sections)
+        if not isinstance(self.radii, np.ndarray):
+            self.radii = np.asarray(self.radii)
+        if not isinstance(self.chord_lengths, np.ndarray):
+            self.chord_lengths = np.asarray(self.chord_lengths)
+        if not isinstance(self.pitch, np.ndarray):
+            self.pitch = np.asarray(self.pitch)
+        if not isinstance(self.rake, np.ndarray):
+            self.rake = np.asarray(self.rake)
+        if not isinstance(self.skew_angles, np.ndarray):
+            self.skew_angles = np.asarray(self.skew_angles)
+
+        if not (self.sections.shape == self.radii.shape ==
+                self.chord_lengths.shape == self.pitch.shape == self.rake.shape
+                == self.skew_angles.shape):
+            raise ValueError('Arrays {sections, radii, chord_lengths, pitch, '\
+            'rake, skew_angles} do not have the same shape.')

+
+
[docs]    def _compute_pitch_angle(self):
+        """
+        Private method that computes the pitch angle from the linear pitch for
+        all blade sections.
+
+        :return: pitch angle in radians
+        :rtype: numpy.ndarray
+        """
+        return np.arctan(self.pitch / (2.0 * np.pi * self.radii))

+
+
[docs]    def _induced_rake_from_skew(self):
+        """
+        Private method that computes the induced rake from skew for all the
+        blade sections, according to :ref:`mytransformation_operations`.
+
+        :return: induced rake from skew
+        :rtype: numpy.ndarray
+        """
+        return self.radii * np.radians(self.skew_angles) * np.tan(
+            self.pitch_angles)

+
+
[docs]    def _planar_to_cylindrical(self):
+        """
+        Private method that transforms the 2D planar airfoils into 3D
+        cylindrical sections.
+
+        The cylindrical transformation is defined by the following formulas:
+
+            - :math:`x = x_{i} \\qquad \\forall x_i \\in X`
+
+            - :math:`y = r \\sin\\left( \\frac{y_i}{r} \\right) \\qquad
+              \\forall y_i \\in Y`
+
+            - :math:`z = -r \\cos\\left( \\frac{y_i}{r} \\right) \\qquad
+              \\forall y_i \\in Y`
+
+        After transformation, the method also fills the numpy.ndarray
+        "blade_coordinates" with the new :math:`(X, Y, Z)` coordinates.
+        """
+        for section, radius in zip(self.sections, self.radii):
+            theta_up = section.yup_coordinates / radius
+            theta_down = section.ydown_coordinates / radius
+
+            y_section_up = radius * np.sin(theta_up)
+            y_section_down = radius * np.sin(theta_down)
+
+            z_section_up = radius * np.cos(theta_up)
+            z_section_down = radius * np.cos(theta_down)
+
+            self.blade_coordinates_up.append(
+                np.array([section.xup_coordinates, y_section_up, z_section_up]))
+            self.blade_coordinates_down.append(
+                np.array(
+                    [section.xdown_coordinates, y_section_down,
+                     z_section_down]))

+
+
[docs]    def apply_transformations(self, reflect=True):
+        """
+        Generate a bottom-up constructed propeller blade based on the airfoil
+        transformations, see :ref:`mytransformation_operations`.
+
+        The order of the transformation operations is as follows:
+
+            1. Translate airfoils by reference points into origin.
+
+            2. Scale X, Y coordinates by a factor of the chord length. Also
+               reflect the airfoils if necessary.
+
+            3. Rotate the airfoils counter-clockwise according to the local
+               pitch angles. Beware of the orientation system.
+
+            4. Translate airfoils along X-axis by a magnitude of the local
+               rake. Perform another translation for the skew-induced rake.
+
+            5. Translate airfoils along Y-axis by a magnitude of the skewness.
+
+            6. Transform the 2D airfoils into cylindrical sections, by laying
+               each foil on a cylinder of radius equals to the section radius,
+               and the cylinder axis is the propeller axis of rotation.
+
+        :param bool reflect: if true, then reflect the coordinates of all the airfoils
+            about both X-axis and Y-axis. Default value is True.
+        """
+        for i in range(self.n_sections):
+            # Translate reference point into origin
+            self.sections[i].translate(-self.sections[i].reference_point)
+
+            if reflect:
+                self.sections[i].reflect()
+
+            # Scale the unit chord to actual length.
+            self.sections[i].scale(self.chord_lengths[i])
+
+            # Rotate according to the pitch angle.
+            # Since the current orientation system is not standard (It is
+            # left-handed Cartesian orientation system, where Y-axis points
+            # downwards and X-axis points to the right), the standard rotation
+            # matrix yields clockwise rotation.
+            self.sections[i].rotate(
+                rad_angle=np.pi / 2.0 - self.pitch_angles[i])
+
+            # Translation due to skew.
+            self.sections[i].translate(
+                [0, -self.radii[i] * np.radians(self.skew_angles[i])])
+
+            # Translate due to total rake.
+            self.sections[i].translate(
+                [-(self.rake[i] + self.induced_rake[i]), 0])
+
+        self._planar_to_cylindrical()

+
+
[docs]    def plot(self, elev=None, azim=None, outfile=None):
+        """
+        Plot the generated blade sections.
+
+        :param int elev: Set the view elevation of the axes. This can be used
+            to rotate the axes programatically. 'elev' stores the elevation
+            angle in the z plane. If elev is None, then the initial value is
+            used which was specified in the mplot3d.Axes3D constructor. Default
+            value is None
+        :param int azim: Set the view azimuth angle of the axes. This can be
+            used to rotate the axes programatically. 'azim' stores the azimuth
+            angle in the x,y plane. If azim is None, then the initial value is
+            used which was specified in the mplot3d.Axes3D constructor. Default
+            value is None
+        :param string outfile: save the plot if a filename string is provided.
+            Default value is None.
+        """
+        if not self.blade_coordinates_up:
+            raise ValueError('You must apply transformations before plotting.')
+
+        fig = plt.figure()
+        ax = fig.gca(projection=Axes3D.name)
+        ax.set_aspect('equal')
+
+        for i in range(self.n_sections):
+            ax.plot(self.blade_coordinates_up[i][0],
+                    self.blade_coordinates_up[i][1],
+                    self.blade_coordinates_up[i][2])
+            ax.plot(self.blade_coordinates_down[i][0],
+                    self.blade_coordinates_down[i][1],
+                    self.blade_coordinates_down[i][2])
+
+        plt.axis('equal')
+        ax.set_xlabel('X axis')
+        ax.set_ylabel('Y axis')
+        ax.set_zlabel('radii axis')
+        ax.xaxis.label.set_color('red')
+        ax.yaxis.label.set_color('red')
+        ax.zaxis.label.set_color('red')
+        ax.view_init(elev=elev, azim=azim)
+
+        if outfile:
+            plt.savefig(outfile)

+
+
[docs]    def _abs_to_norm(self, D_prop):
+        """
+        Private method to normalize the blade parameters.
+        """
+        self.radii = self.radii * 2. / D_prop
+        self.chord_lengths = self.chord_lengths / D_prop
+        self.pitch = self.pitch / D_prop
+        self.rake = self.rake / D_prop

+
+
[docs]    def _norm_to_abs(self, D_prop):
+        """
+        Private method that converts the normalized blade parameters into the
+        actual values.
+        """
+        self.radii = self.radii * D_prop / 2.
+        self.chord_lengths = self.chord_lengths * D_prop
+        self.pitch = self.pitch * D_prop
+        self.rake = self.rake * D_prop

+
+
[docs]    def export_ppg(self,
+                   filename='data_out.ppg',
+                   D_prop=0.25,
+                   D_hub=0.075,
+                   n_blades=5,
+                   params_normalized=False):
+        """
+        Export the generated blade parameters and sectional profiles into
+        .ppg format.
+
+        :param string filename: name of the exported file. Default is
+            'data/data_out.ppg'
+        :param float D_prop: propeller diameter
+        :param float D_hub: hub diameter
+        :param float n_blades: number of blades
+        :param bool params_normalized: since the standard .ppg format contains
+            the blade parameters in the normalized form, therefore the user
+            needs to inform whether the provided parameters (from the class
+            Blade) are normalized or not. By default the argument is set to
+            False, which assumes the user provides the blade parameters in
+            their actual values, i.e. not normalized, hence a normalization
+            operation needs to be applied so as to follow the .ppg standard
+            format.
+        """
+        thickness = np.zeros(self.n_sections)
+        camber = np.zeros(self.n_sections)
+        for i, section in enumerate(self.sections):
+            # Evaluate maximum profile thickness and camber for each section.
+            # We assume at the current step, that sectional profiles already
+            # have the coordinates (x_up,x_down) normalized by chord length (C)
+            # and subsequently (y_up,y_down) are also scaled. This implies that
+            # the computed thickness and camber are given in their normalized
+            # form, i.e. thickness=t/C and camber=f/C.
+            thickness[i] = section.max_thickness()
+            camber[i] = section.max_camber()
+
+        if params_normalized is False:
+            # Put the parameters (radii, chord, pitch, rake) in the normalized
+            # form.
+            self._abs_to_norm(D_prop=D_prop)
+
+        output_string = ""
+        output_string += 'propeller id       = SVA\n'
+        output_string += 'propeller diameter = ' + str(D_prop) + '\n'
+        output_string += 'hub diameter       = ' + str(D_hub) + '\n'
+        output_string += 'number of blades   = ' + str(n_blades) + '\n'
+        output_string += "'Elica PPTC workshop'\n"
+        output_string += 'number of radial sections         = ' + str(
+            self.n_sections) + '\n'
+        output_string += 'number of radial sections         = ' + str(
+            self.n_sections) + '\n'
+        output_string += 'number of sectional profiles      = ' + str(
+            self.n_sections) + '\n'
+        output_string += 'description of sectional profiles = BNF\n'
+        output_string += '            r/R            c/D      skew[deg]'\
+                         '         rake/D            P/D            t/C'\
+                         '            f/C\n'
+        for i in range(self.n_sections):
+            output_string += ' ' + str("%.8e" % self.radii[i]) + ' ' + str(
+                "%.8e" % self.chord_lengths[i]) + ' ' + str(
+                    "%.8e" % self.skew_angles[i]) + ' ' + str(
+                        "%.8e" % self.rake[i])
+            output_string += ' ' + str("%.8e" % self.pitch[i]) + ' ' + str(
+                "%.8e" % thickness[i]) + ' ' + str("%.8e" % camber[i]) + '\n'
+
+        for i in range(self.n_sections):
+            output_string += str("%.8e" % self.radii[i]) + '  ' + str(
+                len(self.sections[i].xup_coordinates)) + '\n'
+
+            for value in self.sections[i].xup_coordinates:
+                output_string += ' ' + str("%.8e" % value)
+            output_string += ' \n'
+            for value in self.sections[i].yup_coordinates:
+                output_string += ' ' + str("%.8e" % value)
+            output_string += ' \n'
+            for value in self.sections[i].ydown_coordinates:
+                output_string += ' ' + str("%.8e" % value)
+            output_string += ' \n'
+
+        hub_offsets = np.asarray(
+            [[-3.0, 0.305], [-0.57, 0.305], [-0.49, 0.305], [-0.41, 0.305],
+             [-0.33, 0.305], [-0.25, 0.305], [-0.17, 0.305], [0.23, 0.305],
+             [0.31, 0.285], [0.39, 0.2656], [0.47, 0.2432], [0.55, 0.2124],
+             [0.63, 0.1684], [0.71, 0.108], [0.79, 0.0]])
+
+        output_string += 'number of Hub offsets = ' + str(
+            len(hub_offsets)) + '\n'
+
+        for i, offset in enumerate(hub_offsets):
+            if i == len(hub_offsets) - 1:
+                output_string += str("%.8e" % offset[0]) + ' ' + str(
+                    "%.8e" % hub_offsets[i][1])
+                continue
+            output_string += str("%.8e" % offset[0]) + ' ' + str(
+                "%.8e" % offset[1]) + '\n'
+
+        with open(filename, 'w') as f:
+            f.write(output_string)
+
+        if params_normalized is False:
+            # Revert back normalized parameters into actual values.
+            self._norm_to_abs(D_prop=D_prop)

+
+    def __str__(self):
+        """
+        This method prints all the parameters on the screen. Its purpose is
+        for debugging.
+        """
+        string = ''
+        string += 'Blade number of sections = {}'.format(self.n_sections)
+        string += '\nBlade radii sections = {}'.format(self.radii)
+        string += '\nChord lengths of the sectional profiles'\
+                  ' = {}'.format(self.chord_lengths)
+        string += '\nRadial distribution of the pitch (in unit lengths)'\
+                  ' = {}'.format(self.pitch)
+        string += '\nRadial distribution of the rake (in unit length)'\
+                  ' = {}'.format(self.rake)
+        string += '\nRadial distribution of the skew angles'\
+                  ' (in degrees) = {}'.format(self.skew_angles)
+        string += '\nPitch angles (in radians) for the'\
+                  ' sections = {}'.format(self.pitch_angles)
+        string += '\nInduced rake from skew (in unit length)'\
+                  ' for the sections = {}'.format(self.induced_rake)
+        return string

+
+ +
+
+
+ + +
+ +
+

+ © Copyright 2018, BladeX contributors. + Last updated on Jul 26, 2018. + +

+
+ Built with Sphinx using a theme provided by Read the Docs. + +
+ +
+
+ +
+ +
+ + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/_modules/bladex/deform.html b/_modules/bladex/deform.html new file mode 100644 index 0000000..3b7f966 --- /dev/null +++ b/_modules/bladex/deform.html @@ -0,0 +1,727 @@ + + + + + + + + + + + bladex.deform — BladeX 0.0.1 documentation + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + +
+ + + + + + +
+
+ + + + + + +
+ +
+
+
+
+ +

Source code for bladex.deform

+"""
+Module to deform blade's parameters, based on a given parameter file.
+"""
+
+import numpy as np
+import matplotlib.pyplot as plt
+from .ndinterpolator import reconstruct_f, scipy_bspline
+from .params import ParamFile
+
+
+
[docs]class Deformation(object):
+    """
+    Deform parameter curves {chord, pitch, rake, skew, camber} according to
+    specific information passed through a parameter file.
+
+    The module contains several methods that are able to:
+
+        1. compute coordinates of the optimal control points, provided their
+        number from the parameter file.
+
+        2. update control points Y coordinates, provided the magnitude of the
+        Y deformation from the parameter file.
+
+        3. generate B-spline curve using the computed control points (before or
+        after their deformation), provided npoints from the parameter file
+        for spline estimation.
+
+        4. plot parametric curves, with several options. Finally export a new
+        parameter file containing the new deformed parameters.
+
+    :param str paramfile: parameter file name
+    :cvar str paramfile: parameter file name
+    :cvar class param: class object instantiated by the module params, and
+        contains all the attributes assigned by reading the parameter file.
+        Possible attributes are:
+
+        - `param.radii`
+        - `param.parameters`
+        - `param.nbasis`
+        - `param.degree`
+        - `param.deformations`
+
+        First attribute is array defines the radial sections, while the
+        remaining attributes are dictionaries with possible keys: `chord`,
+        `pitch`, `rake`, `skew`, `camber`.
+
+    :cvar dict deformed_parameters: dictionary that contains the deformed
+        parameters at the same radial sections, provided some tolerance due to
+        the spline interpolation. Possible dictionary keys are the parameters
+        `chord`, `pitch`, `rake`, `skew`, `camber`. Default value is array of
+        zeros with length equal to the radial sections.
+    :cvar dict control_points: dictionary that contains the 2D coordinates of
+        the control points associated with the B-spline parametric curve. The
+        dictionary possible keys are the parameters `chord`, `pitch`, `rake`,
+        `skew`, `camber`. Default value is None
+    :cvar dict spline: dictionary that contains the B-spline interpolation for
+        the parametric curves. The dictionary possible keys are the parameters
+        `chord`, `pitch`, `rake`, `skew`, `camber`. Each value is a 2D numpy
+        array containing the radii interpolations against the interpolations
+        for one of the parameters mentioned in the dictionary keys. Default
+        value is None.
+    """
+
+    def __init__(self, paramfile):
+        self.paramfile = paramfile
+        self.param = ParamFile()
+        self.param.read_parameters(filename=paramfile)
+        self.deformed_parameters = {
+            'chord': np.zeros(self.param.radii.size),
+            'pitch': np.zeros(self.param.radii.size),
+            'rake': np.zeros(self.param.radii.size),
+            'skew': np.zeros(self.param.radii.size),
+            'camber': np.zeros(self.param.radii.size)
+        }
+        self.control_points = {
+            'chord': None,
+            'pitch': None,
+            'rake': None,
+            'skew': None,
+            'camber': None
+        }
+        self.spline = {
+            'chord': None,
+            'pitch': None,
+            'rake': None,
+            'skew': None,
+            'camber': None
+        }
+
+    @staticmethod
+
[docs]    def _optimum_control_points(X, Y, degree, nbasis, rbf_points):
+        """
+        Private static method that computes the optimum coordinates of the
+        B-spline control points.
+
+        :param array_like X: Array of original points of the parametric curve
+            X-axis, usually array of the radii sections
+        :param array_like Y: radial distribution of parameter `chord` or
+            `pitch` or `rake` or `skew` or `camber`, corresponding to the
+            radial sections in X
+        :param int degree: degree of the B-spline construction for the
+            parametric curve
+        :param int nbasis: number of control points associated with the
+            parametric curve
+        :param int rbf_points: if specified greater than zero, then the X and Y
+            arrays are interpolated using the Wendland C2 radial basis function
+            to produce X and Y arrays with length = rbf_points. The larger
+            number of rbf_points implies better estimation of the optimum
+            control coordinates. To turn it off (i.e. compute control points
+            based on original X, Y arrays) then insert 0. (Negative values or
+            None results in same effect as zero)
+        :return: control points 2D coordinates
+        :rtype: numpy.ndarray
+        """
+        if not isinstance(rbf_points, int):
+            # in case inserted as None, then converts to zero,
+            # otherwise returns the inserted value. Useful when dealing with
+            # the parameter as a flag
+            rbf_points = int(rbf_points or 0)
+
+        if rbf_points > 0:
+            xx = np.linspace(X[0], X[-1], num=rbf_points)
+            yy = np.zeros(rbf_points)
+            reconstruct_f(
+                original_input=X,
+                original_output=Y,
+                rbf_input=xx,
+                rbf_output=yy,
+                basis='beckert_wendland_c2_basis',
+                radius=2.0)
+            X = xx
+            Y = yy
+
+        A = np.zeros((len(X), nbasis))
+        At = np.zeros((len(X), nbasis - 2))
+
+        for i in range(nbasis):
+            cv_new = np.zeros((nbasis, 3))
+            cv_new[i, 0] = 1.
+            # i-th basis function in the reference space
+            A[:, i] = scipy_bspline(cv_new, A.shape[0], degree)[:, 0]
+
+        # A tilde for the constraints on the first and last point
+        At = A[:, 1:-1]
+        # x and y of the ctrl points with constrained least square.
+        # we subtract the contribution of the first and last basis function
+        cvt_x = np.linalg.lstsq(
+            At, X - A[:, 0] * X[0] - A[:, -1] * X[-1], rcond=-1)[0]
+        cvt_y = np.linalg.lstsq(
+            At, Y - A[:, 0] * Y[0] - A[:, -1] * Y[-1], rcond=-1)[0]
+
+        # fill with the constraints the first and last point
+        opt_ctrl = np.zeros((nbasis, 2))
+        opt_ctrl[0, 0] = X[0]
+        opt_ctrl[-1, 0] = X[-1]
+        opt_ctrl[0, 1] = Y[0]
+        opt_ctrl[-1, 1] = Y[-1]
+        opt_ctrl[1:-1, 0] = cvt_x
+        opt_ctrl[1:-1, 1] = cvt_y
+
+        return opt_ctrl

+
+    @staticmethod
+
[docs]    def _check_param(param):
+        """
+        Private static method that checks the passed parameter.
+
+        :param str param: passed parameter to check. Valid values
+            are: `chord`, `pitch`, `rake`, `skew`, `camber`
+        :raises ValueError: if the param value is not one of the previous
+        """
+        params = ['chord', 'pitch', 'rake', 'skew', 'camber']
+        if not param in params:
+            raise ValueError(
+                'Valid param values are: "chord", "pitch", "rake", "skew",'\
+                 ' "camber".')

+
+
[docs]    def _check_control_points(self, param):
+        """
+        Private method to check if control points are computed.
+
+        :param str param: passed parameter to check. Valid values
+            are: `chord`, `pitch`, `rake`, `skew`, `camber`
+        :raises ValueError: if the control points have None value, i.e. not
+            computed
+        """
+        if self.control_points[param] is None:
+            raise ValueError(
+                'control_points has None value. You must compute them first.')

+
+
[docs]    def _check_spline(self, param):
+        """
+        Private method to check if spline interpolation is computed.
+
+        :param str param: passed parameter to check. Valid values
+            are: `chord`, `pitch`, `rake`, `skew`, `camber`
+        :raises ValueError: if the spline of that parameter curve has None
+            value, i.e. not computed
+        """
+        if self.spline[param] is None:
+            raise ValueError(
+                param + ' spline is None. You must first generate spline.')

+
+
[docs]    def _check_deformed(self, param):
+        """
+        Private method to check if the deformed parameters are computed.
+
+        :param str param: passed parameter to check. Valid values
+            are: `chord`, `pitch`, `rake`, `skew`, `camber`
+        :raises ValueError: if the deformed parameters have array of zeros,
+            i.e. not computed
+        """
+        if self.deformed_parameters[param].all() == 0:
+            raise ValueError(param + ' deformed points are not computed.')

+
+
[docs]    def compute_control_points(self, param, rbf_points=1000):
+        """
+        Compute the control points 2D coordinates for one of the parametric
+        curves.
+
+        :param str param: parameter corresponding to the parametric curve.
+            possible values are `chord`, `pitch`, `rake`, `skew`, `camber`
+        :param int rbf_points: if greater than zero then the Wendland C2 radial
+            basis function is used to interpolate the original arrays for the
+            parametric curve, so that the control points are computed according
+            to the interpolated arrays. Needless to mention that longer arrays
+            would produce better estimation of the control points optimum
+            coordinates. In order to turn off the rbf interpolation: specify
+            either 0 or -1 (Also a None value can be used too). Default value
+            is 1000
+        """
+        self._check_param(param=param)
+        self.control_points[param] = self._optimum_control_points(
+            X=self.param.radii,
+            Y=self.param.parameters[param],
+            degree=self.param.degree[param],
+            nbasis=self.param.nbasis[param],
+            rbf_points=rbf_points)

+
+
[docs]    def update_control_points(self, param):
+        """
+        Update the control point Y coordinate with the deformation values
+        specified in the parameter file.
+
+        :param str param: parameter corresponding to the parametric curve.
+            possible values are `chord`, `pitch`, `rake`, `skew`, `camber`
+        """
+        self._check_param(param=param)
+        self._check_control_points(param=param)
+
+        if not self.control_points[param].shape[0] == len(
+                self.param.deformations[param]):
+            raise ValueError(
+                'array of deformations must equal to number of control points')
+
+        for i in range(self.control_points[param].shape[0]):
+            self.control_points[param][i, 1] += self.param.deformations[param][
+                i]

+
+
[docs]    def generate_spline(self, param):
+        """
+        Generate the B-spline interpolations, using the information: `degree`,
+        `npoints` from the parameter file, as well as the computed 2D
+        coordinates of the control points.
+
+        :param str param: parameter corresponding to the parametric curve.
+            possible values are `chord`, `pitch`, `rake`, `skew`, `camber`
+        """
+        self._check_param(param=param)
+        self._check_control_points(param=param)
+
+        self.spline[param] = scipy_bspline(
+            cv=self.control_points[param],
+            npoints=self.param.npoints[param],
+            degree=self.param.degree[param])

+
+
[docs]    def compute_deformed_parameters(self, param, tol=1e-3):
+        """
+        This method uses the spline npoints interpolation of the parametric
+        curve to extract the parameters corresponding to the radial
+        distribution of the original undeformed array. Therefore the resulting
+        deformed parameters should be arrays of same length like that of the
+        original parameters.
+
+        :param str param: parameter corresponding to the parametric curve.
+            possible values are `chord`, `pitch`, `rake`, `skew`, `camber`
+        :param float tol: tolerance required to find the B-spline estimation
+            within the neighborhood of each of the radii sections. It is
+            important to specify the value carefully as it depends on the order
+            of the original array values, as well as the number of points for
+            the spline interpolations. Default value is 1e-3
+        """
+        self._check_param(param=param)
+        self._check_spline(param=param)
+
+        for i, val in enumerate(self.param.radii):
+            index = np.where(np.fabs(self.spline[param][:, 0] - val) < tol)[0]
+            if len(index) == 0:
+                raise ValueError(
+                    'Could not compute deformed parameter "' + param +
+                    '" at radius "' + str(val) +
+                    '". Either increase the tolerance for that parameter, or'\
+                    ' increase the spline npoints in the parameter file.'
+                )
+            if index.shape[0] > 1:
+                # In case more neighbors are found, then take first value only.
+                index = index[0]
+            self.deformed_parameters[param][i] = self.spline[param][index, 1]

+
+
[docs]    def compute_all(self,
+                    rbf_points=1000,
+                    tol_chord=1e-3,
+                    tol_pitch=1e-3,
+                    tol_rake=1e-3,
+                    tol_skew=1e-3,
+                    tol_camber=1e-3):
+        """
+        Computes everything:
+            - control points 2D coordinates
+            - deformed control points
+            - spline npoints interpolations
+            - deformed parameters of the original arrays
+
+        The previous procedure is applied for all the parameters: `chord`,
+        `pitch`, `rake`, `skew`, `camber`
+
+        :param int rbf_points: if greater than zero then the Wendland C2 radial
+            basis function is used to interpolate the original arrays for the
+            parametric curve, so that the control points are computed according
+            to the interpolated arrays. Needless to mention that longer arrays
+            would produce better estimation of the control points optimum
+            coordinates. In order to turn off the rbf interpolation then
+            specify either 0 or -1 (Also a None value can be used too). Default
+            value is 1000
+        :param float tol_chord: tolerance used to extract the chord radial
+            distribution for the deformed B-spline interpolation. Default value
+            is 1e-3
+        :param float tol_pitch: tolerance used to extract the pitch radial
+            distribution for the deformed B-spline interpolation. Default value
+            is 1e-3
+        :param float tol_rake: tolerance used to extract the rake radial
+            distribution for the deformed B-spline interpolation. Default value
+            is 1e-3
+        :param float tol_skew: tolerance used to extract the skew radial
+            distribution for the deformed B-spline interpolation. Default value
+            is 1e-3
+        :param float tol_camber: tolerance used to extract the camber radial
+            distribution for the deformed B-spline interpolation. Default value
+            is 1e-3
+
+        """
+        tols = {
+            'chord': tol_chord,
+            'pitch': tol_pitch,
+            'rake': tol_rake,
+            'skew': tol_skew,
+            'camber': tol_camber
+        }
+        params = ['chord', 'pitch', 'rake', 'skew', 'camber']
+        for param in params:
+            self.compute_control_points(param=param, rbf_points=rbf_points)
+            self.update_control_points(param=param)
+            self.generate_spline(param=param)
+            self.compute_deformed_parameters(param=param, tol=tols[param])

+
+
[docs]    def _plot_parametric_curve(self,
+                               param,
+                               original=True,
+                               ctrl_points=True,
+                               spline=True,
+                               rbf=False,
+                               rbf_points=500,
+                               deformed=False,
+                               outfile=None):
+        """
+        Private method to plot the parametric curve. Several options
+        can be specified.
+
+        :param str param: parameter corresponding to the parametric curve
+            needs to be plotted. possible values are `chord`, `pitch`, `rake`,
+            `skew`, `camber`
+        :param bool original: if True, then plot the original points of the
+            parameter at the radii sections.
+        :param bool ctrl_points: if True, then plot the control points of
+            that parametric curve.
+        :param bool spline: If True, then plot the B-spline interpolation of
+            the parametric curve.
+        :param bool rbf: if True, then plot the radial basis functions
+            interpolation of the parametric curve.
+        :param int rbf_points: number of points used for the rbf interpolation,
+            if the flag `rbf` is set True. Beware that this argument does not
+            have the same function of that when computing the control points,
+            although both uses the radial basis function interpolation with
+            the Wendland basis.
+        :param bool deformed: if True, then plot the deformed points of the
+            parameter radial distribution, estimated using the B-spline
+            interpolations within a given tolerance.
+        :param str outfile: if string is passed, then the plot is saved
+            with that name. If the value is None, then the plot is shown on
+            the screen.
+        """
+        self._check_param(param=param)
+
+        plt.figure()
+
+        if original:
+            plt.plot(
+                self.param.radii,
+                self.param.parameters[param],
+                'o',
+                label='original points')
+
+        if ctrl_points:
+            self._check_control_points(param=param)
+            plt.plot(
+                self.control_points[param][:, 0],
+                self.control_points[param][:, 1],
+                '*-',
+                label='control points')
+
+        if spline:
+            self._check_spline(param=param)
+            plt.plot(
+                self.spline[param][:, 0],
+                self.spline[param][:, 1],
+                label='spline')
+
+        if rbf:
+            xx = np.linspace(
+                self.param.radii[0], self.param.radii[-1], num=rbf_points)
+            yy = np.zeros(rbf_points)
+            reconstruct_f(
+                original_input=self.param.radii,
+                original_output=self.param.parameters[param],
+                rbf_input=xx,
+                rbf_output=yy,
+                basis='beckert_wendland_c2_basis',
+                radius=2.0)
+            plt.plot(xx, yy, label='rbf')
+
+        if deformed:
+            self._check_deformed(param=param)
+            plt.plot(
+                self.param.radii,
+                self.deformed_parameters[param],
+                '+',
+                label='deformed points')
+
+        plt.grid(linestyle='dotted')
+        plt.title(param + ' curve')
+        plt.legend()
+
+        if outfile:
+            if not isinstance(outfile, str):
+                raise ValueError('Output file name must be string.')
+            plt.savefig(outfile)
+        else:
+            plt.show()

+
+
[docs]    def plot(self,
+             param,
+             original=True,
+             ctrl_points=True,
+             spline=True,
+             rbf=False,
+             rbf_points=500,
+             deformed=False,
+             outfile=None):
+        """
+        Plot the parametric curve. Several options
+        can be specified.
+
+        :param array_like param: array_like of strings corresponding to the
+            parametric curve that needs to be plotted. possible values are
+            `chord`, `pitch`, `rake`, `skew`, `camber`
+        :param bool original: if True, then plot the original points of the
+            parameter at the radii sections. Default value is True
+        :param bool ctrl_points: if True, then plot the control points of
+            that parametric curve. Default value is True
+        :param bool spline: If True, then plot the B-spline interpolation of
+            the parametric curve. Default value is True
+        :param bool rbf: if True, then plot the radial basis functions
+            interpolation of the parametric curve. Default value is True
+        :param int rbf_points: number of points used for the rbf interpolation,
+            if the flag `rbf` is set True. Beware that this argument does not
+            have the same function of that when computing the control points,
+            although both uses the radial basis function interpolation with
+            the Wendland basis. Default value is 500
+        :param bool deformed: if True, then plot the deformed points of the
+            parameter radial distribution, estimated using the B-spline
+            interpolations within a given tolerance. Default value is False
+        :param str outfile: if string is passed, then the plot is saved
+            with that name. If the value is None, then the plot is shown on
+            the screen. Default value is None
+        """
+        if not isinstance(param, (list, tuple, np.ndarray)):
+            param = [param]
+
+        for par in param:
+            self._plot_parametric_curve(
+                param=par,
+                original=original,
+                ctrl_points=ctrl_points,
+                spline=spline,
+                rbf=rbf,
+                rbf_points=rbf_points,
+                deformed=deformed,
+                outfile=outfile)

+
+
[docs]    def export_param_file(self, outfile='parameters_mod.prm'):
+        """
+        Export a new parameter file with the new deformed parameters, while
+        all other values are kept the same as in the original parameter file
+        with the undeformed parameters. In the new parameter file (i.e. with
+        deformed parameters) the deformations arrays become array of zeros.
+
+        :param str outfile: file name to be written out
+        """
+
+        prm = ParamFile()
+        prm.radii = self.param.radii
+        params = ['chord', 'pitch', 'rake', 'skew', 'camber']
+        for param in params:
+            if np.all(self.param.deformations[param] == 0):
+                prm.parameters[param] = self.param.parameters[param]
+            else:
+                prm.parameters[param] = self.deformed_parameters[param]
+            prm.nbasis[param] = self.param.nbasis[param]
+            prm.degree[param] = self.param.nbasis[param]
+            prm.npoints[param] = self.param.npoints[param]
+            prm.deformations[param] = np.zeros(self.param.nbasis[param])
+
+        prm.write_parameters(filename=outfile)

+
+ +
+
+
+ + +
+ +
+

+ © Copyright 2018, BladeX contributors. + Last updated on Jul 26, 2018. + +

+
+ Built with Sphinx using a theme provided by Read the Docs. + +
+ +
+
+ +
+ +
+ + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/_modules/bladex/ndinterpolator.html b/_modules/bladex/ndinterpolator.html new file mode 100644 index 0000000..1e3f7c7 --- /dev/null +++ b/_modules/bladex/ndinterpolator.html @@ -0,0 +1,466 @@ + + + + + + + + + + + bladex.ndinterpolator — BladeX 0.0.1 documentation + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + +
+ + + + + + +
+
+ + + + + + +
+ +
+
+
+
+ +

Source code for bladex.ndinterpolator

+import numpy as np
+from scipy.spatial.distance import cdist
+from scipy.interpolate import splev
+
+
+
[docs]class RBF(object):
+    """
+    .. _ndinterpolator-label:
+
+    RBF ndinterpolator
+    ======================
+
+    Module focused on the implementation of the Radial Basis Functions
+    interpolation technique.  This technique is still based on the use of
+    a set of parameters, the so-called control points, as for FFD, but RBF
+    is interpolatory. Another important key point of RBF strategy relies in
+    the way we can locate the control points: in fact, instead of FFD where
+    control points need to be placed inside a regular lattice, with RBF we
+    havo no more limitations. So we have the possibility to perform localized
+    control points refiniments.
+
+    :Theoretical Insight:
+        As reference please consult M.D. Buhmann, Radial Basis Functions,
+        volume 12 of Cambridge monographs on applied and computational
+        mathematics. Cambridge University Press, UK, 2003.  This implementation
+        follows D. Forti and G. Rozza, Efficient geometrical parametrization
+        techniques of interfaces for reduced order modelling: application to
+        fluid-structure interaction coupling problems, International Journal
+        of Computational Fluid Dynamics.
+        
+        RBF shape parametrization technique is based on the definition of a map
+        :math:`\\mathcal{M}(\\boldsymbol{x}) : \\mathbb{R}^n \\rightarrow
+        \\mathbb{R}^n`, that allows the possibility of transferring data across
+        non-matching grids and facing the dynamic mesh handling. The map
+        introduced is defines as follows
+        
+        .. math::
+            \\mathcal{M}(\\boldsymbol{x}) = p(\\boldsymbol{x}) + 
+            \\sum_{i=1}^{\\mathcal{N}_C} \\gamma_i
+            \\varphi(\\| \\boldsymbol{x} - \\boldsymbol{x_{C_i}} \\|)
+        
+        where :math:`p(\\boldsymbol{x})` is a low_degree polynomial term,
+        :math:`\\gamma_i` is the weight, corresponding to the a-priori selected
+        :math:`\\mathcal{N}_C` control points, associated to the :math:`i`-th
+        basis function, and :math:`\\varphi(\\| \\boldsymbol{x} -
+        \\boldsymbol{x_{C_i}} \\|)` a radial function based on the Euclidean
+        distance between the control points position :math:`\\boldsymbol{x_{C_i}}`
+        and :math:`\\boldsymbol{x}`. A radial basis function, generally, is a
+        real-valued function whose value depends only on the distance from the
+        origin, so that :math:`\\varphi(\\boldsymbol{x}) = \\tilde{\\varphi}(
+        \\|\\boldsymbol{x} \\|)`.
+
+        The matrix version of the formula above is:
+        
+        .. math::
+            \\mathcal{M}(\\boldsymbol{x}) = \\boldsymbol{c} +
+            \\boldsymbol{Q}\\boldsymbol{x} +
+            \\boldsymbol{W^T}\\boldsymbol{d}(\\boldsymbol{x})
+        
+        The idea is that after the computation of the weights and the
+        polynomial terms from the coordinates of the control points before and
+        after the deformation, we can deform all the points of the mesh
+        accordingly. Among the most common used radial basis functions for
+        modelling 2D and 3D shapes, we consider Gaussian splines, Multi-
+        uadratic biharmonic splines, Inverted multi-quadratic biharmonic
+        splines, Thin-plate splines, Beckert and Wendland :math:`C^2` basis all
+        defined and implemented below.
+
+    :param string basis: RBF basis function
+    :param float radius: cut-off radius
+
+    """
+
+    def __init__(self, basis, radius):
+        self.bases = {
+            'gaussian_spline':
+            self.gaussian_spline,
+            'multi_quadratic_biharmonic_spline':
+            self.multi_quadratic_biharmonic_spline,
+            'inv_multi_quadratic_biharmonic_spline':
+            self.inv_multi_quadratic_biharmonic_spline,
+            'thin_plate_spline':
+            self.thin_plate_spline,
+            'beckert_wendland_c2_basis':
+            self.beckert_wendland_c2_basis
+        }
+
+        if basis in self.bases:
+            self.basis = self.bases[basis]
+        else:
+            raise NameError(
+                """The name of the basis function is not correct. Check 
+                the documentation for all the available functions.""")
+
+        self.radius = radius
+
+    # The following static methods are the implementations
+    # of the most common radial basis functions
+    @staticmethod
+
[docs]    def gaussian_spline(X, r):
+        """
+        It implements the following formula:
+
+        .. math::
+            \\varphi(\\| \\boldsymbol{x} \\|) =
+            e^{-\\frac{\\| \\boldsymbol{x} \\|^2}{r^2}}
+
+        :param numpy.ndarray X: l2-norm between given inputs of a function
+            and the locations to perform rbf approximation to that function.
+        :param float r: smoothing length, also called the cut-off radius.
+
+        :return: result: the result of the formula above.
+        :rtype: float
+        """
+        return np.exp(-(X * X) / (r * r))

+
+    @staticmethod
+
[docs]    def multi_quadratic_biharmonic_spline(X, r):
+        """
+        It implements the following formula:
+
+        .. math::
+            \\varphi(\\| \\boldsymbol{x} \\|) =
+            \\sqrt{\\| \\boldsymbol{x} \\|^2 + r^2}
+
+        :param numpy.ndarray X: l2-norm between given inputs of a function
+            and the locations to perform rbf approximation to that function.
+        :param float r: smoothing length, also called the cut-off radius.
+
+        :return: result: the result of the formula above.
+        :rtype: float
+        """
+        return np.sqrt((X * X) + (r * r))

+
+    @staticmethod
+
[docs]    def inv_multi_quadratic_biharmonic_spline(X, r):
+        """
+        It implements the following formula:
+
+        .. math::
+            \\varphi(\\| \\boldsymbol{x} \\|) =
+            (\\| \\boldsymbol{x} \\|^2 + r^2 )^{-\\frac{1}{2}}
+
+        :param numpy.ndarray X: l2-norm between given inputs of a function
+            and the locations to perform rbf approximation to that function.
+        :param float r: smoothing length, also called the cut-off radius.
+
+        :return: result: the result of the formula above.
+        :rtype: float
+        """
+        return 1.0 / (np.sqrt((X * X) + (r * r)))

+
+    @staticmethod
+
[docs]    def thin_plate_spline(X, r):
+        """
+        It implements the following formula:
+
+        .. math::
+            \\varphi(\\| \\boldsymbol{x} \\|) =
+            \\left\\| \\frac{\\boldsymbol{x} }{r} \\right\\|^2
+            \\ln \\left\\| \\frac{\\boldsymbol{x} }{r} \\right\\|
+
+        :param numpy.ndarray X: l2-norm between given inputs of a function
+            and the locations to perform rbf approximation to that function.
+        :param float r: smoothing length, also called the cut-off radius.
+
+        :return: result: the result of the formula above.
+        :rtype: float
+        """
+        arg = X / r
+        result = arg * arg
+        result = np.where(arg > 0, result * np.log(arg), result)
+        return result

+
+    @staticmethod
+
[docs]    def beckert_wendland_c2_basis(X, r):
+        """
+        It implements the following formula:
+
+        .. math::
+            \\varphi(\\| \\boldsymbol{x} \\|) =
+            \\left( 1 - \\frac{\\| \\boldsymbol{x} \\|}{r} \\right)^4 +
+            \\left( 4 \\frac{\\| \\boldsymbol{x} \\|}{r} + 1 \\right)
+
+        :param numpy.ndarray X: l2-norm between given inputs of a function
+            and the locations to perform rbf approximation to that function.
+        :param float r: smoothing length, also called the cut-off radius.
+
+        :return: result: the result of the formula above.
+        :rtype: float
+        """
+        arg = X / r
+        first = np.where((1 - arg) > 0, np.power((1 - arg), 4), 0)
+        second = (4 * arg) + 1
+        return first * second

+
+
[docs]    def weights_matrix(self, X1, X2):
+        """
+        This method returns the following matrix:
+
+        .. math::
+            \\boldsymbol{D_{ij}} = \\varphi(\\| \\boldsymbol{x_i} -
+            \\boldsymbol{y_j} \\|)
+
+        :param numpy.ndarray X1: the vector x in the formula above.
+        :param numpy.ndarray X2: the vector y in the formula above.
+
+        :return: matrix: the matrix D.
+        :rtype: numpy.ndarray
+        """
+        if X1.size == X1.shape[0]:
+            X1 = X1.reshape(-1, 1)
+        if X2.size == X2.shape[0]:
+            X2 = X2.reshape(-1, 1)
+        return self.basis(cdist(X1, X2), self.radius)

+
+
+
[docs]def reconstruct_f(original_input, original_output, rbf_input, rbf_output, basis,
+                  radius):
+    """
+    Reconstruct a function by using the radial basis function approximations.
+
+    :param array_like original_input: the original values of function inputs.
+    :param array_like original_output: the original values of function output.
+    :param array_like rbf_input: the input data for RBF approximation.
+    :param array_like rbf_output: the array elements to be updated with the RBF
+        interpolated outputs after the approximation.
+    :param string basis: radial basis function.
+    :param float radius: smoothing length, also called the cut-off radius.
+
+    :Example:
+        >>> import numpy as np
+        >>> from bladex.ndinterpolator import reconstruct_f
+        >>> x = np.arange(10)
+        >>> y = np.square(x)
+        >>> radius = 10
+        >>> n_interp = 50
+        >>> x_rbf = np.linspace(x[0], x[-1], num=n_interp)
+        >>> y_rbf = np.zeros(n_interp)
+        >>> reconstruct_f(original_input=x, original_output=y, rbf_input=x_rbf,
+            rbf_output=y_rbf, radius=radius, basis='beckert_wendland_c2_basis')
+
+    """
+    radial = RBF(basis=basis, radius=radius)
+
+    weights_coeff = np.linalg.solve(
+        radial.weights_matrix(original_input, original_input), original_output)
+
+    weights_rbf = radial.weights_matrix(rbf_input, original_input)
+
+    for i in range(rbf_input.shape[0]):
+        for j in range(original_input.shape[0]):
+            rbf_output[i] += weights_coeff[j] * weights_rbf[i][j]

+
+
+
[docs]def scipy_bspline(cv, npoints, degree):
+    """
+    Construct B-Spline curve via the control points.
+
+    :param array_like cv: control points vector (spline coefficients).
+    :param int npoints: number of points on the curve.
+    :param int degree: BSpline degree.
+    """
+    c = cv.shape[0]
+    # calculating BSpline knots
+    kv = np.clip(np.arange(c+degree+1)-degree, 0, c-degree)
+    # u is the array of points at which to return the value of the smoothed spline
+    u  = np.linspace(0, c-degree, npoints)
+    # Calculate resulting spline
+    # splev requires u, and a tuple which is a sequence of length 3 containing
+    # the knots, coefficients, and degree of the spline.
+    return np.array(splev(u, (kv, cv.T, degree))).T

+
+ +
+
+
+ + +
+ +
+

+ © Copyright 2018, BladeX contributors. + Last updated on Jul 26, 2018. + +

+
+ Built with Sphinx using a theme provided by Read the Docs. + +
+ +
+
+ +
+ +
+ + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/_modules/bladex/params.html b/_modules/bladex/params.html new file mode 100644 index 0000000..6897c39 --- /dev/null +++ b/_modules/bladex/params.html @@ -0,0 +1,484 @@ + + + + + + + + + + + bladex.params — BladeX 0.0.1 documentation + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + +
+ + + + + + +
+
+ + + + + + +
+ +
+
+
+
+ +

Source code for bladex.params

+"""
+Module to read and write a parameter file
+which can be used for parameters deformations.
+"""
+try:
+    import configparser as configparser
+except ImportError:
+    import ConfigParser as configparser
+import os
+import numpy as np
+
+
+
[docs]class ParamFile(object):
+    """
+    Read and Write a parameter file
+
+    :cvar array_like radii: contains radii values of the blade sectional
+        profiles, starting from the hub. Default value is None
+    :cvar dict parameters: dictionary that contains the radial distribution
+        of parameters `chord`, `pitch`, `rake`, `skew`, `camber` at specific
+        blade sections. Each element of the dictionary is an array_like of
+        length equals to that of the array radii. Both parameters `chord` and
+        `camber` descibes the chord length and the camber of the 2D foil
+        representing the blade section. Possible dictionary keys are `chord`,
+        `pitch`, `rake`, `skew`, `camber`. Default values are None
+    :cvar dict nbasis: dictionary that contains number of control points for
+        each parameter. Possible dictionary keys are: `chord`, `pitch`, `rake`,
+        `skew`, `camber`
+    :cvar dict degree: dictionary that contains degree of the BSpline to be
+        constructed according to the parameter radial distribution. Possible
+        dictionary keys are: `chord`, `pitch`, `rake`, `skew`, `camber`
+    :cvar dict npoints: dictionary that contains number of points to be
+        evaluated using the BSpline interpolation, for each of the parameter
+        curves. Possible dictionary keys for the parameters are: `chord`,
+        `pitch`, `rake`, `skew`, `camber`
+    :cvar dict deformations: dictionary that contains the control points
+        Y-deformations of the parameter BSpline curve. Possible dictionary
+        keys are: `chord`, `pitch`, `rake`, `skew`, `camber`
+    """
+
+    def __init__(self):
+        self.radii = None
+        self.parameters = {
+            'chord': None,
+            'pitch': None,
+            'rake': None,
+            'skew': None,
+            'camber': None
+        }
+        self.nbasis = {
+            'chord': 10,
+            'pitch': 10,
+            'rake': 10,
+            'skew': 10,
+            'camber': 10
+        }
+        self.degree = {
+            'chord': 3,
+            'pitch': 3,
+            'rake': 3,
+            'skew': 3,
+            'camber': 3
+        }
+        self.npoints = {
+            'chord': 500,
+            'pitch': 500,
+            'rake': 500,
+            'skew': 500,
+            'camber': 500
+        }
+        self.deformations = {
+            'chord': np.zeros(self.nbasis['chord']),
+            'pitch': np.zeros(self.nbasis['chord']),
+            'rake': np.zeros(self.nbasis['chord']),
+            'skew': np.zeros(self.nbasis['chord']),
+            'camber': np.zeros(self.nbasis['chord'])
+        }
+
+
[docs]    def _check_params(self):
+        """
+        Private method that is called while writing a parameter file.
+
+        1. The method checks if the user specifies a radii array, otherwise it
+        raises exception.
+
+        2. In case no values assigned to any of the remaining parameter arrays
+        then an array of zeros is assigned, in which its length is equal
+        to the radii array.
+
+        3. Any array that is not numpy is converted to be one. Finally, in case
+        the user specifies the parameter array values but not with same length,
+        then an exception is raised.
+        """
+        if self.radii is None:
+            raise ValueError('Array radii can not have a None value.')
+
+        if not isinstance(self.radii, np.ndarray):
+            self.radii = np.asarray(self.radii)
+
+        for param in ['chord', 'pitch', 'rake', 'skew', 'camber']:
+            # If any parameter is not inserted then assign that parameter
+            # with array of zeros. This is useful in case the user is
+            # interested in only one or few parameters, while not interested
+            # in (or does have information about) the remaining ones.
+            if self.parameters[param] is None:
+                self.parameters[param] = np.zeros(self.radii.shape[0])
+
+            # In case inserted parameters are not numpy arrays
+            if not isinstance(self.parameters[param], np.ndarray):
+                self.parameters[param] = np.asarray(self.parameters[param])
+
+            # check the case if user inserts inhomogeneous radial distributions
+            if not self.parameters[param].shape == self.radii.shape:
+                raise ValueError(
+                    'Array ' + param + ' must have same shape of array radii.')
+
+            # If inserted deformations array not correspond to nbasis
+            if not self.nbasis[param] == len(self.deformations[param]):
+                raise ValueError(
+                    param + ' deformations must correspond to nbasis.')

+
+
[docs]    def read_parameters(self, filename='parameters.prm'):
+        """
+        Reads in the parameters file and fill the self structure.
+
+        :param str filename: parameters file to be read in. Default value is
+            parameters.prm
+        """
+        if not isinstance(filename, str):
+            raise TypeError('filename must be a string')
+
+        # Checks if the parameters file exists. If not it writes a default
+        # parameters file with zero deformations for all parameters at uniform
+        # radial sections.
+        if not os.path.isfile(filename):
+            self.radii = np.arange(0.3, 1.1, 0.1)
+            self.write_parameters(filename=filename)
+
+        config = configparser.RawConfigParser()
+        config.read(filename)
+
+        radii = config.get('Original parameters', 'Radial sections')
+        lines = radii.split('\n')
+        self.radii = np.zeros(len(lines))
+        for j, line in enumerate(lines):
+            if len(line.split()) > 1:
+                raise ValueError(
+                    'Radial sections must have single value at each section.')
+            self.radii[j] = float(line)
+
+        params = ['chord', 'pitch', 'rake', 'skew', 'camber']
+        for param in params:
+            parameters = config.get('Original parameters',
+                                    'Radial distribution of ' + param)
+            lines = parameters.split('\n')
+            self.parameters[param] = np.zeros(len(lines))
+            for j, line in enumerate(lines):
+                if len(line.split()) > 1:
+                    raise ValueError(
+                        param +
+                        ' radial distribution must have single value at each'\
+                        ' radial section.'
+                    )
+                self.parameters[param][j] = float(line)
+
+        if not (len(self.radii) ==
+                len(self.parameters['chord']) ==
+                len(self.parameters['pitch']) ==
+                len(self.parameters['rake']) ==
+                len(self.parameters['skew']) ==
+                len(self.parameters['camber'])):
+            raise ValueError(
+                'Arrays "radii", "chord", "pitch", "rake", "skew", "camber"'\
+                ' must have same length.'
+            )
+
+        section_all = [
+            'Chord B-Spline', 'Pitch B-Spline', 'Rake B-Spline',
+            'Skew B-Spline', 'Camber B-Spline'
+        ]
+
+        for section, param in zip(section_all, params):
+            self.degree[param] = config.getint(section, 'spline degree')
+            self.npoints[param] = config.getint(section, 'spline npoints')
+            self.nbasis[param] = config.getint(section,
+                                               'number of control points')
+
+            deformations = config.get(section, 'control points Y-deformations')
+            if bool(deformations) is False:
+                raise ValueError('control points Y-deformations in section [' +
+                                 section + '] must be non-empty.')
+            lines = deformations.split('\n')
+            self.deformations[param] = np.zeros(len(lines))
+            for j, line in enumerate(lines):
+                if len(line.split()) > 1:
+                    raise ValueError(
+                        'You can pass only one value for each control point',
+                        ' Y-deformation of the ' + param)
+                self.deformations[param][j] = float(line)
+            if not len(self.deformations[param]) == self.nbasis[param]:
+                raise ValueError(param + ' has nbasis not equal deformations.')

+
+
[docs]    def write_parameters(self, filename='parameters.prm'):
+        """
+        This method writes a parameters file (.prm) called `filename` and fills
+        it with all the parameters class members. Default value is
+        parameters.prm.
+
+        :param str filename: parameters file to be written out.
+        :param bool param_pptc: if True, then the parameter arrays are replaced
+            with that of the benchmark PPTC propeller.
+        """
+        if not isinstance(filename, str):
+            raise TypeError("filename must be a string")
+
+        self._check_params()
+
+        output_string = ""
+
+        output_string += '\n[Original parameters]\n'
+        output_string += '# This section describes the radial distributions'\
+                        ' of the parameters:\n'
+        output_string += '# "chord lengths", "pitch", "rake", "skew angles",'\
+                         ' and "camber"\n'
+        output_string += '# at given radial sections.\n'
+
+        output_string += '\nRadial sections = '
+        offset = 1
+        for radius in self.radii:
+            output_string += offset * ' ' + str(radius) + '\n'
+            offset = 19
+
+        params = ['chord', 'pitch', 'rake', 'skew', 'camber']
+        gaps = [0, 0, 1, 1, -1]
+
+        for param, gap in zip(params, gaps):
+            offset = 1 + gap
+            output_string += '\nRadial distribution of ' + param + ' = '
+            for parameter in self.parameters[param]:
+                output_string += offset * ' ' + str(parameter) + '\n'
+                offset = 32
+
+        sections = [
+            '[Chord B-Spline]', '[Pitch B-Spline]', '[Rake B-Spline]',
+            '[Skew B-Spline]', '[Camber B-Spline]'
+        ]
+
+        for section, param in zip(sections, params):
+            output_string += '\n\n' + section + '\n'
+            output_string += '# This section describes the B-Spline'\
+            ' construction of the RADII -- ' + param.upper() + ' curve.\n'
+            output_string += '\n# degree of the B-Spline curve\n'
+            output_string += 'spline degree: {}\n'.format(
+                str(self.degree[param]))
+            output_string += '\n# number of points to be evaluated with the'\
+             ' B-Spline interpolation\n'
+            output_string += 'spline npoints: {}\n'.format(
+                str(self.npoints[param]))
+            output_string += '\n# number of the control points\n'
+            output_string += 'number of control points: {}\n'.format(
+                str(self.nbasis[param]))
+            output_string += '\n# Y-deformations of the control points.\n'
+            output_string += 'control points Y-deformations = '
+            offset = 1
+            for i in range(self.nbasis[param]):
+                output_string += offset * ' ' + str(
+                    self.deformations[param][i]) + '\n'
+                offset = 33
+
+        with open(filename, 'w') as f:
+            f.write(output_string)

+
+
[docs]    def __str__(self):
+        """
+        This method prints all the parameters on the screen. Its purpose is
+        for debugging.
+        """
+        string = ''
+        string += 'radii = {}'.format(self.radii)
+        params = ['chord', 'pitch', 'rake', 'skew', 'camber']
+        for param in params:
+            string += '\n\n' + param + ' = {}'.format(self.parameters[param])
+            string += '\n' + param + ' degree = {}'.format(
+                self.degree[param])
+            string += '\n' + param + ' npoints = {}'.format(
+                self.npoints[param])
+            string += '\n' + param + ' nbasis = {}'.format(self.nbasis[param])
+            string += '\n' + param + ' control points deformations = '
+            string += '{}'.format(self.deformations[param])
+        return string

+
+ +
+
+
+ + +
+ +
+

+ © Copyright 2018, BladeX contributors. + Last updated on Jul 26, 2018. + +

+
+ Built with Sphinx using a theme provided by Read the Docs. + +
+ +
+
+ +
+ +
+ + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/_modules/bladex/profilebase.html b/_modules/bladex/profilebase.html new file mode 100644 index 0000000..e6a00b1 --- /dev/null +++ b/_modules/bladex/profilebase.html @@ -0,0 +1,775 @@ + + + + + + + + + + + bladex.profilebase — BladeX 0.0.1 documentation + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + +
+ + + + + + +
+
+ + + + + + +
+ +
+
+
+
+ +

Source code for bladex.profilebase

+"""
+Base module that provides essential tools and transformations on airfoils.
+"""
+
+import numpy as np
+import matplotlib.pyplot as plt
+from .ndinterpolator import reconstruct_f
+
+
+
[docs]class ProfileBase(object):
+    """
+    Base sectional profile of the propeller blade.
+
+    Each sectional profile is a 2D airfoil that is split into two parts: the
+    upper and lower parts. The coordiates of each part is represented by two
+    arrays corresponding to the X and Y components in the 2D coordinate system.
+    Such coordinates can be either generated using NACA functions, or be
+    inserted directly by the user as custom profiles.
+
+    :param numpy.ndarray xup_coordinates: 1D array that contains the
+        X-components of the airfoil upper-half surface. Default value is None
+    :param numpy.ndarray xdown_coordinates: 1D array that contains the
+        X-components of the airfoil lower-half surface. Default value is None
+    :param numpy.ndarray yup_coordinates: 1D array that contains the
+        Y-components of the airfoil upper-half surface. Default value is None
+    :param numpy.ndarray ydown_coordinates: 1D array that contains the
+        Y-components of the airfoil lower-half surface. Default value is None
+    :param numpy.ndarray chord_line: contains the X and Y coordinates of the
+        straight line joining between the leading and trailing edges. Default
+        value is None
+    :param numpy.ndarray camber_line: contains the X and Y coordinates of the
+        curve passing through all the mid-points between the upper and lower
+        surfaces of the airfoil. Default value is None
+    :param numpy.ndarray leading_edge: 2D coordinates of the airfoil's
+        leading edge. Default values are zeros
+    :param numpy.ndarray trailing_edge: 2D coordinates of the airfoil's
+        trailing edge. Default values are zeros
+    """
+
+    def __init__(self):
+        self.xup_coordinates = None
+        self.xdown_coordinates = None
+        self.yup_coordinates = None
+        self.ydown_coordinates = None
+        self.chord_line = None
+        self.camber_line = None
+        self.leading_edge = np.zeros(2)
+        self.trailing_edge = np.zeros(2)
+
+
[docs]    def _update_edges(self):
+        """
+        Private method that identifies and updates the airfoil's leading and
+        trailing edges.
+
+        Given the airfoil coordinates from the leading to the trailing edge,
+        if the trailing edge has a non-zero thickness, then the average value
+        between the upper and lower trailing edges is taken as the true
+        trailing edge, hence both the leading and the trailing edges are always
+        unique.
+        """
+        if np.fabs(self.xup_coordinates[0] - self.xdown_coordinates[0]) > 1e-4:
+            raise ValueError('Airfoils must have xup_coordinates[0] '\
+                            'almost equal to xdown_coordinates[0]')
+        if np.fabs(
+                self.xup_coordinates[-1] - self.xdown_coordinates[-1]) > 1e-4:
+            raise ValueError('Airfoils must have xup_coordinates[-1] '\
+                             'almost equal to xdown_coordinates[-1]')
+
+        self.leading_edge[0] = self.xup_coordinates[0]
+        self.leading_edge[1] = self.yup_coordinates[0]
+        self.trailing_edge[0] = self.xup_coordinates[-1]
+
+        if self.yup_coordinates[-1] == self.ydown_coordinates[-1]:
+            self.trailing_edge[1] = self.yup_coordinates[-1]
+        else:
+            self.trailing_edge[1] = 0.5 * (
+                self.yup_coordinates[-1] + self.ydown_coordinates[-1])

+
+
[docs]    def interpolate_coordinates(self, num=500, radius=1.0):
+        """
+        Interpolate the airfoil coordinates from the given data set of
+        discrete points.
+
+        The interpolation applies the Radial Basis Function (RBF) method,
+        to construct approximations of the two functions that correspond to the
+        airfoil upper half and lower half coordinates. The RBF implementation
+        is present in :ref:`RBF ndinterpolator <ndinterpolator-label>`.
+
+        References:
+
+        Buhmann, Martin D. (2003), Radial Basis Functions: Theory
+        and Implementations.
+        http://www.cs.bham.ac.uk/~jxb/NN/l12.pdf
+        https://www.cc.gatech.edu/~isbell/tutorials/rbf-intro.pdf
+
+        :param int num: number of interpolated points. Default value is 500
+        :param float radius: range of the cut-off radius necessary for the RBF
+            interpolation. Default value is 1.0. It is quite necessary to
+            adjust the value properly so as to ensure a smooth interpolation
+        :return: interpolation points for the airfoil upper half X-component,
+            interpolation points for the airfoil lower half X-component,
+            interpolation points for the airfoil upper half Y-component,
+            interpolation points for the airfoil lower half Y-component
+        :rtype: numpy.ndarray, numpy.ndarray, numpy.ndarray, numpy.ndarray
+        :raises TypeError: if num is not of type int
+        :raises ValueError: if num is not positive, or if radius is not
+            positive
+        """
+        if not isinstance(num, int):
+            raise TypeError('Inserted value must be of type integer.')
+        if num <= 0 or radius <= 0:
+            raise ValueError('Inserted value must be positive.')
+
+        xx_up = np.linspace(
+            self.xup_coordinates[0], self.xup_coordinates[-1], num=num)
+        yy_up = np.zeros(num)
+        reconstruct_f(
+            basis='beckert_wendland_c2_basis',
+            radius=radius,
+            original_input=self.xup_coordinates,
+            original_output=self.yup_coordinates,
+            rbf_input=xx_up,
+            rbf_output=yy_up)
+        xx_down = np.linspace(
+            self.xdown_coordinates[0], self.xdown_coordinates[-1], num=num)
+        yy_down = np.zeros(num)
+        reconstruct_f(
+            basis='beckert_wendland_c2_basis',
+            radius=radius,
+            original_input=self.xdown_coordinates,
+            original_output=self.ydown_coordinates,
+            rbf_input=xx_down,
+            rbf_output=yy_down)
+
+        return xx_up, xx_down, yy_up, yy_down

+
+
[docs]    def compute_chord_line(self, n_interpolated_points=None):
+        """
+        Compute the 2D coordinates of the chord line. Also updates
+        the chord_line class member.
+
+        The chord line is the straight line that joins between the leading edge
+        and the trailing edge. It is simply computed from the equation of
+        a line passing through two points, the LE and TE.
+
+        :param int n_interpolated_points: number of points to be used for the
+            equally-spaced sample computations. If None then there is no
+            interpolation, unless the arrays x_up != x_down elementwise which
+            implies that the corresponding y_up and y_down can not be
+            comparable, hence a uniform interpolation is required. Default
+            value is None
+        """
+        self._update_edges()
+        aratio = ((self.trailing_edge[1] - self.leading_edge[1]) /
+                  (self.trailing_edge[0] - self.leading_edge[0]))
+        if not (self.xup_coordinates == self.xdown_coordinates
+                ).all() and n_interpolated_points is None:
+            # If x_up != x_down element-wise, then the corresponding y_up and
+            # y_down can not be comparable, hence a uniform interpolation is
+            # required. Also in case the interpolated_points is None,
+            # then we assume a default number of interpolated points
+            n_interpolated_points = 500
+
+        if n_interpolated_points:
+            cl_x_coordinates = np.linspace(
+                self.leading_edge[0],
+                self.trailing_edge[0],
+                num=n_interpolated_points)
+            cl_y_coordinates = (aratio *
+                                (cl_x_coordinates - self.leading_edge[0]) +
+                                self.leading_edge[1])
+            self.chord_line = np.array([cl_x_coordinates, cl_y_coordinates])
+        else:
+            cl_y_coordinates = (aratio *
+                                (self.xup_coordinates - self.leading_edge[0]) +
+                                self.leading_edge[1])
+            self.chord_line = np.array([self.xup_coordinates, cl_y_coordinates])

+
+
[docs]    def compute_camber_line(self, n_interpolated_points=None):
+        """
+        Compute the 2D coordinates of the camber line. Also updates the
+        camber_line class member.
+
+        The camber line is defined by the curve passing through all the mid
+        points between the upper surface and the lower surface of the airfoil.
+
+        :param int n_interpolated_points: number of points to be used for the
+            equally-spaced sample computations. If None then there is no
+            interpolation, unless the arrays x_up != x_down elementwise which
+            implies that the corresponding y_up and y_down can not be
+            comparable, hence a uniform interpolation is required. Default
+            value is None
+
+        We note that a uniform interpolation becomes necessary for the cases
+        when the X-coordinates of the upper and lower surfaces do not
+        correspond to the same vertical sections, since this would imply
+        inaccurate measurements for obtaining the camber line.
+        """
+        if not (self.xup_coordinates == self.xdown_coordinates
+                ).all() and n_interpolated_points is None:
+            # If x_up != x_down element-wise, then the corresponding y_up and
+            # y_down can not be comparable, hence a uniform interpolation is
+            # required. Also in case the interpolated_points is None,
+            # then we assume a default number of interpolated points
+            n_interpolated_points = 500
+
+        if n_interpolated_points:
+            cl_x_coordinates, yy_up, yy_down = (
+                self.interpolate_coordinates(num=n_interpolated_points)[1:])
+            cl_y_coordinates = 0.5 * (yy_up + yy_down)
+            self.camber_line = np.array([cl_x_coordinates, cl_y_coordinates])
+        else:
+            cl_y_coordinates = (0.5 *
+                                (self.ydown_coordinates + self.yup_coordinates))
+            self.camber_line = np.array(
+                [self.xup_coordinates, cl_y_coordinates])

+
+
[docs]    def deform_camber_line(self, percent_change, n_interpolated_points=None):
+        """
+        Deform camber line according to a given percentage of change of the
+        maximum camber. Also reconstructs the deformed airfoil's coordinates.
+
+        The percentage of change is defined as follows:
+
+        .. math::
+            \\frac{\\text{new magnitude of max camber - old magnitude of maximum \
+            camber}}{\\text{old magnitude of maximum camber}} * 100
+
+        A positive percentage means the new camber is larger than the max
+        camber value, while a negative percentage indicates the new value
+        is smaller.
+
+        We note that the method works only for airfoils in the reference
+        position, i.e. chord line lies on the X-axis and the foil is not
+        rotated, since the measurements are based on the Y-values of the
+        airfoil coordinates, hence any measurements or scalings will be
+        inaccurate for the foils not in their reference position.
+
+        :param float percent_change: percentage of change of the
+            maximum camber. Default value is None
+        :param bool interpolate:  if True, the interpolated coordinates are
+            used to compute the camber line and foil's thickness, otherwise
+            the original discrete coordinates are used. Default value is False.
+        :param int n_interpolated_points: number of points to be used for the
+            equally-spaced sample computations. If None then there is no
+            interpolation, unless the arrays x_up != x_down elementwise which
+            implies that the corresponding y_up and y_down can not be
+            comparable, hence a uniform interpolation is required. Default
+            value is None
+        """
+        # Updating camber line
+        self.compute_camber_line(n_interpolated_points=n_interpolated_points)
+        scaling_factor = percent_change / 100. + 1.
+        self.camber_line[1] *= scaling_factor
+
+        if not (self.xup_coordinates == self.xdown_coordinates
+                ).all() and n_interpolated_points is None:
+            # If x_up != x_down element-wise, then the corresponding y_up and
+            # y_down can not be comparable, hence a uniform interpolation is
+            # required. Also in case the interpolated_points is None,
+            # then we assume a default number of interpolated points
+            n_interpolated_points = 500
+
+        # Evaluating half-thickness of the undeformed airfoil,
+        # which should hold same values for the deformed foil.
+        if n_interpolated_points:
+            (self.xup_coordinates, self.xdown_coordinates, self.yup_coordinates,
+             self.ydown_coordinates
+             ) = self.interpolate_coordinates(num=n_interpolated_points)
+
+        half_thickness = 0.5 * np.fabs(
+            self.yup_coordinates - self.ydown_coordinates)
+
+        self.yup_coordinates = self.camber_line[1] + half_thickness
+        self.ydown_coordinates = self.camber_line[1] - half_thickness

+
+    @property
+    def reference_point(self):
+        """
+        Return the coordinates of the chord's mid point.
+
+        :return: reference point in 2D
+        :rtype: numpy.ndarray
+        """
+        self._update_edges()
+        reference_point = [
+            0.5 * (self.leading_edge[0] + self.trailing_edge[0]),
+            0.5 * (self.leading_edge[1] + self.trailing_edge[1])
+        ]
+        return np.asarray(reference_point)
+
+    @property
+    def chord_length(self):
+        """
+        Measure the l2-norm (Euclidean distance) between the leading edge
+        and the trailing edge.
+
+        :return: chord length
+        :rtype: float
+        """
+        self._update_edges()
+        return np.linalg.norm(self.leading_edge - self.trailing_edge)
+
+
[docs]    def max_thickness(self, n_interpolated_points=None):
+        """
+        Return the airfoil's maximum thickness.
+
+        Thickness is defined as the distnace between the upper and lower
+        surfaces of the airfoil, and can be measured in two different ways:
+
+            - American convention: measures along the line perpendicular to \
+                the mean camber line.
+
+            - British convention: measures along the line perpendicular to \
+                the chord line.
+        
+        In this implementation, the british convention is used to evaluate
+        the maximum thickness.
+
+        References:
+
+            Phillips, Warren F. (2010). Mechanics of Flight (2nd ed.). \
+                Wiley & Sons. p. 27. ISBN 978-0-470-53975-0.
+
+            Bertin, John J.; Cummings, Russel M. (2009). Pearson Prentice Hall, \
+                ed. Aerodynamics for Engineers (5th ed.). \
+                p. 199. ISBN 978-0-13-227268-1.
+
+        :param bool interpolate: if True, the interpolated coordinates are used
+            to measure the thickness; otherwise, the original discrete
+            coordinates are used. Default value is False
+        :param int n_interpolated_points: number of points to be used for the
+            equally-spaced sample computations. If None then there is no
+            interpolation, unless the arrays x_up != x_down elementwise which
+            implies that the corresponding y_up and y_down can not be
+            comparable, hence a uniform interpolation is required. Default
+            value is None
+        :return: maximum thickness
+        :rtype: float
+        """
+        if not (self.xup_coordinates == self.xdown_coordinates
+                ).all() and n_interpolated_points is None:
+            # If x_up != x_down element-wise, then the corresponding y_up and
+            # y_down can not be comparable, hence a uniform interpolation is
+            # required. Also in case the interpolated_points is None,
+            # then we assume a default number of interpolated points
+            n_interpolated_points = 500
+
+        if n_interpolated_points:
+            # Evaluation of the thickness requires comparing both y_up and
+            # y_down for the same x-section, (i.e. same x_coordinate),
+            # according to british convention. If x_up != x_down element-wise,
+            # then the corresponding y_up and y_down can not be comparable,
+            # hence a uniform interpolation is required.
+            yy_up, yy_down = self.interpolate_coordinates(
+                num=n_interpolated_points)[2:]
+            return np.fabs(yy_up - yy_down).max()
+        return np.fabs(self.yup_coordinates - self.ydown_coordinates).max()

+
+
[docs]    def max_camber(self, n_interpolated_points=500):
+        """
+        Return the magnitude of the airfoil's maximum camber.
+
+        Camber is defined as the distance between the chord line and the mean
+        camber line, and is measured along the line perpendicular to the chord
+        line.
+
+        :param bool interpolate: if True, the interpolated coordinates are used
+            to measure the camber; otherwise, the original discrete coordinates
+            are used. Default value is False
+        :param int n_interpolated_points: number of points to be used for the
+            equally-spaced sample computations. If None then there is no
+            interpolation, unless the arrays x_up != x_down elementwise which
+            implies that the corresponding y_up and y_down can not be
+            comparable, hence a uniform interpolation is required. Default
+            value is None
+        :return: maximum camber
+        :rtype: float
+        """
+        self.compute_chord_line(n_interpolated_points=n_interpolated_points)
+
+        self.compute_camber_line(n_interpolated_points=n_interpolated_points)
+
+        n_points = self.camber_line[0].size
+        camber = np.zeros(n_points)
+
+        for i in range(n_points):
+            camber[i] = np.linalg.norm(
+                self.chord_line[:, i] - self.camber_line[:, i])
+
+        max_camber = camber.max()
+        if (self.camber_line[1][camber.argmax()] <
+                self.chord_line[1][camber.argmax()]):
+            # Camber line is below the chord line, at the point of max camber
+            max_camber *= -1
+
+        return max_camber

+
+
[docs]    def rotate(self, rad_angle=None, deg_angle=None):
+        """
+        2D counter clockwise rotation about the origin of the Cartesian
+        coordinate system.
+        
+        The rotation matrix, :math:`R(\\theta)`, is used to perform rotation
+        in the 2D Euclidean space about the origin, which is -- by default --
+        the leading edge.
+
+        :math:`R(\\theta)` is defined by:
+
+        .. math::
+             \\left(\\begin{matrix} cos (\\theta) & - sin (\\theta) \\\\
+            sin (\\theta) & cos (\\theta) \\end{matrix}\\right)
+
+        Given the coordinates of point :math:`P` such that
+
+        .. math::
+            P = \\left(\\begin{matrix} x \\\\
+            y \\end{matrix}\\right),
+
+        Then, the rotated coordinates will be:
+
+        .. math::
+            P^{'} = \\left(\\begin{matrix} x^{'} \\\\
+                     y^{'} \\end{matrix}\\right)
+                  = R (\\theta) \\cdot P
+
+        If a standard right-handed Cartesian coordinate system is used, with
+        the X-axis to the right and the Y-axis up, the rotation
+        :math:`R (\\theta)` is counterclockwise. If a left-handed Cartesian
+        coordinate system is used, with X-axis directed to the right and Y-axis
+        directed down, :math:`R (\\theta)` is clockwise.
+
+        :param float rad_angle: angle in radians. Default value is None
+        :param float deg_angle: angle in degrees. Default value is None
+        :raises ValueError: if both rad_angle and deg_angle are inserted,
+            or if neither is inserted
+        """
+        if rad_angle is not None and deg_angle is not None:
+            raise ValueError(
+                'You have to pass either the angle in radians or in degrees,' \
+                ' not both.')
+        if rad_angle is not None:
+            cosine = np.cos(rad_angle)
+            sine = np.sin(rad_angle)
+        elif deg_angle is not None:
+            cosine = np.cos(np.radians(deg_angle))
+            sine = np.sin(np.radians(deg_angle))
+        else:
+            raise ValueError(
+                'You have to pass either the angle in radians or in degrees.')
+
+        rot_matrix = np.array([cosine, -sine, sine, cosine]).reshape((2, 2))
+
+        coord_matrix_up = np.vstack((self.xup_coordinates,
+                                     self.yup_coordinates))
+        coord_matrix_down = np.vstack((self.xdown_coordinates,
+                                       self.ydown_coordinates))
+
+        new_coord_matrix_up = np.zeros(coord_matrix_up.shape)
+        new_coord_matrix_down = np.zeros(coord_matrix_down.shape)
+
+        for i in range(self.xup_coordinates.shape[0]):
+            new_coord_matrix_up[:, i] = np.dot(rot_matrix,
+                                               coord_matrix_up[:, i])
+            new_coord_matrix_down[:, i] = np.dot(rot_matrix,
+                                                 coord_matrix_down[:, i])
+
+        self.xup_coordinates = new_coord_matrix_up[0]
+        self.xdown_coordinates = new_coord_matrix_down[0]
+        self.yup_coordinates = new_coord_matrix_up[1]
+        self.ydown_coordinates = new_coord_matrix_down[1]

+
+
[docs]    def translate(self, translation):
+        """
+        Translate the airfoil coordinates according to a 2D translation vector.
+        
+        :param array_like translation: the translation vector in 2D
+        """
+        self.xup_coordinates += translation[0]
+        self.xdown_coordinates += translation[0]
+        self.yup_coordinates += translation[1]
+        self.ydown_coordinates += translation[1]

+
+
[docs]    def reflect(self):
+        """
+        Reflect the airfoil coordinates about the origin, i.e. a mirror
+        transformation is performed about both the X-axis and the Y-axis.
+        """
+        self.xup_coordinates *= -1
+        self.xdown_coordinates *= -1
+        self.yup_coordinates *= -1
+        self.ydown_coordinates *= -1

+
+
[docs]    def scale(self, factor):
+        """
+        Scale the airfoil coordinates according to a scaling factor.
+
+        In order to apply the scaling without affecting the position of the
+        reference point, the method translates the airfoil by its refernce
+        point to be centered in the origin, then the scaling is applied, and
+        finally the airfoil is translated back by its reference point to the
+        initial position.
+
+        :param float factor: the scaling factor
+        """
+        ref_point = self.reference_point
+        self.translate(-ref_point)
+        self.xup_coordinates *= factor
+        self.xdown_coordinates *= factor
+        self.yup_coordinates *= factor
+        self.ydown_coordinates *= factor
+        self.translate(ref_point)

+
+
[docs]    def plot(self,
+             profile=True,
+             chord_line=False,
+             camber_line=False,
+             ref_point=False,
+             outfile=None):
+        """
+        Plot the airfoil coordinates.
+
+        :param bool profile: if True, then plot the profile coordinates.
+            Default value is True
+        :param bool chord_line: if True, then plot the chord line. Default
+            value is False
+        :param bool camber_line: if True, then plot the camber line. Default
+            value is False
+        :param bool ref_point: if True, then scatter plot the reference point.
+            Default value is False
+        :param str outfile: outfile name. If a string is provided then the
+            plot is saved with that name, otherwise the plot is not saved.
+            Default value is None
+        """
+        plt.figure()
+
+        if (self.xup_coordinates is None or self.yup_coordinates is None
+                or self.xdown_coordinates is None
+                or self.ydown_coordinates is None):
+            raise ValueError('One or all the coordinates have None value.')
+
+        if profile:
+            plt.plot(
+                self.xup_coordinates,
+                self.yup_coordinates,
+                label='Upper profile')
+            plt.plot(
+                self.xdown_coordinates,
+                self.ydown_coordinates,
+                label='Lower profile')
+
+        if chord_line:
+            if self.chord_line is None:
+                raise ValueError(
+                    'Chord line is None. You must compute it first')
+            plt.plot(self.chord_line[0], self.chord_line[1], label='Chord line')
+
+        if camber_line:
+            if self.camber_line is None:
+                raise ValueError(
+                    'Camber line is None. You must compute it first')
+            plt.plot(
+                self.camber_line[0], self.camber_line[1], label='Camber line')
+
+        if ref_point:
+            plt.scatter(
+                self.reference_point[0],
+                self.reference_point[1],
+                s=15,
+                label='Reference point')
+
+        plt.grid(linestyle='dotted')
+        plt.axis('equal')
+        plt.legend()
+
+        if outfile:
+            if not isinstance(outfile, str):
+                raise ValueError('Output file name must be string.')
+            plt.savefig(outfile)
+        else:
+            plt.show()

+
+ +
+
+
+ + +
+ +
+

+ © Copyright 2018, BladeX contributors. + Last updated on Jul 26, 2018. + +

+
+ Built with Sphinx using a theme provided by Read the Docs. + +
+ +
+
+ +
+ +
+ + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/_modules/bladex/profiles.html b/_modules/bladex/profiles.html new file mode 100644 index 0000000..74506ca --- /dev/null +++ b/_modules/bladex/profiles.html @@ -0,0 +1,506 @@ + + + + + + + + + + + bladex.profiles — BladeX 0.0.1 documentation + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + +
+ + + + + + +
+
+ + + + + + +
+ +
+
+
+
+ +

Source code for bladex.profiles

+"""
+Derived module from profilebase.py to provide the airfoil coordinates.
+"""
+from scipy.interpolate import splev, splrep
+import numpy as np
+from .profilebase import ProfileBase
+
+
+
[docs]class CustomProfile(ProfileBase):
+    """
+    Provide custom profile for the airfoil coordinates.
+
+    :param numpy.ndarray xup: 1D array that contains the X-components of the
+        airfoil's upper surface
+    :param numpy.ndarray xdown: 1D array that contains the X-components of the
+        airfoil's lower surface
+    :param numpy.ndarray yup: 1D array that contains the Y-components of the
+        airfoil's upper surface
+    :param numpy.ndarray ydown: 1D array that contains the Y-components of the
+        airfoil's lower surface
+    """
+
+    def __init__(self, xup, yup, xdown, ydown):
+        super(CustomProfile, self).__init__()
+        self.xup_coordinates = xup
+        self.yup_coordinates = yup
+        self.xdown_coordinates = xdown
+        self.ydown_coordinates = ydown
+        self._check_coordinates()
+
+
[docs]    def _check_coordinates(self):
+        """
+        Private method that checks whether the airfoil coordinates defined
+        are provided correctly.
+
+        We note that each array of coordinates must be consistent with the
+        other arrays. The upper and lower surfaces should start from exactly
+        the same point, the leading edge, and proceed on the way till the
+        trailing edge. The trailing edge might have a non-zero thickness as
+        in the case of some NACA-airfoils. In case of an open trailing edge,
+        the average coordinate between upper and lower part is taken as the
+        unique value.
+
+        :raises ValueError: if either xup, xdown, yup, ydown is None
+        :raises ValueError: if the 1D arrays xup, yup or xdown, ydown do not
+            have the same length
+        :raises ValueError: if array yup not greater than or equal array ydown
+            element-wise
+        :raises ValueError: if xdown[0] != xup[0] or ydown[0] != yup[0]
+            or xdown[-1] != xup[-1]
+        """
+        if self.xup_coordinates is None:
+            raise ValueError(
+                'object "xup_coordinates" refers to an empty array.')
+        if self.xdown_coordinates is None:
+            raise ValueError(
+                'object "xdown_coordinates" refers to an empty array.')
+        if self.yup_coordinates is None:
+            raise ValueError(
+                'object "yup_coordinates" refers to an empty array.')
+        if self.ydown_coordinates is None:
+            raise ValueError(
+                'object "ydown_coordinates" refers to an empty array.')
+
+        if not isinstance(self.xup_coordinates, np.ndarray):
+            self.xup_coordinates = np.asarray(self.xup_coordinates, dtype=float)
+        if not isinstance(self.xdown_coordinates, np.ndarray):
+            self.xdown_coordinates = np.asarray(
+                self.xdown_coordinates, dtype=float)
+        if not isinstance(self.yup_coordinates, np.ndarray):
+            self.yup_coordinates = np.asarray(self.yup_coordinates, dtype=float)
+        if not isinstance(self.ydown_coordinates, np.ndarray):
+            self.ydown_coordinates = np.asarray(
+                self.ydown_coordinates, dtype=float)
+
+        # Therefore the arrays xup_coordinates and yup_coordinates must have
+        # the same length = N, same holds for the arrays xdown_coordinates
+        # and ydown_coordinates.
+        if self.xup_coordinates.shape != self.yup_coordinates.shape:
+            raise ValueError(
+                'xup_coordinates and yup_coordinates must have same shape.')
+        if self.xdown_coordinates.shape != self.ydown_coordinates.shape:
+            raise ValueError(
+                'xdown_coordinates and ydown_coordinates must have same shape.')
+
+        # The condition yup_coordinates >= ydown_coordinates must be satisfied
+        # element-wise to the whole elements in the mentioned arrays.
+        if not all(
+                np.greater_equal(self.yup_coordinates, self.ydown_coordinates)):
+            raise ValueError(
+                'yup_coordinates is not >= ydown_coordinates elementwise.')
+
+        if not self.xdown_coordinates[0] == self.xup_coordinates[0]:
+            raise ValueError(
+                '(xdown_coordinates[0]=xup_coordinates[0]) not satisfied.')
+        if not self.ydown_coordinates[0] == self.yup_coordinates[0]:
+            raise ValueError(
+                '(ydown_coordinates[0]=yup_coordinates[0]) not satisfied.')
+        if not self.xdown_coordinates[-1] == self.xup_coordinates[-1]:
+            raise ValueError(
+                '(xdown_coordinates[-1]=xup_coordinates[-1]) not satisfied.')

+
+
+
[docs]class NacaProfile(ProfileBase):
+    """
+    Generate 4- and 5-digit NACA profiles.
+
+    The NACA airfoils are airfoil shapes for aircraft wings developed by the
+    National Advisory Committee for Aeronautics (NACA). The shape of the NACA
+    airfoils is described using a series of digits following the word "NACA".
+    The parameters in the numerical code can be entered into equations to
+    precisely generate the cross-section of the airfoil and calculate its
+    properties.
+
+    The NACA four-digit series describes airfoil by the format MPTT, where:
+
+        - M/100: indicates the maximum camber in percentage, with respect to the
+          chord length.
+
+        - P/10: indicates the location of the maximum camber measured from the
+          leading edge. The location is normalized by the chord length.
+        
+        - TT/100: the maximum thickness as fraction of the chord length.
+
+    The profile 00TT refers to a symmetrical NACA airfoil.
+
+    The NACA five-digit series describes more complex airfoil shapes.
+    Its format is: LPSTT, where:
+        
+        - L: the theoretical optimum lift coefficient at ideal
+          angle-of-attack = 0.15*L
+        
+        - P: the x-coordinate of the point of maximum camber
+          (max camber at x = 0.05*P)
+        
+        - S: indicates whether the camber is simple (S=0) or reflex (S=1)
+          TT/100: the maximum thickness in percent of chord, as in a four-digit
+          NACA airfoil code
+
+    References:
+    
+    - Moran, Jack (2003). An introduction to theoretical and computational
+      aerodynamics. Dover. p. 7. ISBN 0-486-42879-6.
+    
+    - Abbott, Ira (1959). Theory of Wing Sections: Including a Summary of
+      Airfoil Data. New York: Dover Publications. p. 115. ISBN 978-0486605869.
+
+    :param str digits: 4 or 5 digits that describes the NACA profile
+    :param int n_points: number of discrete points that represents the
+        airfoil profile. Default value is 240
+    :param bool cosine_spacing: if True, then a cosine spacing is used for the
+        airfoil coordinate distribution, otherwise linear spacing is used.
+        Default value is True
+    :raises ValueError: if n_points is not positive
+    :raises TypeError: if n_points is not of type int
+    :raises SyntaxError: if digits is not a string
+    :raises Exception: if digits is not of length 4 or 5
+    """
+
+    def __init__(self, digits, n_points=240, cosine_spacing=True):
+        super(NacaProfile, self).__init__()
+        self.digits = digits
+        self.n_points = n_points
+        self.cosine_spacing = cosine_spacing
+        self._check_args()
+        self._generate_coordinates()
+
+
[docs]    def _check_args(self):
+        """
+        Private method to check that the number of the airfoil discrete points
+        is a positive integer.
+        """
+        if not isinstance(self.digits, str):
+            raise TypeError('digits must be of type string.')
+        if isinstance(self.n_points, float):
+            self.n_points = int(self.n_points)
+        if not isinstance(self.n_points, int):
+            raise TypeError('n_points must be of type integer.')
+        if self.n_points < 0:
+            raise ValueError('n_points must be positive.')

+
+
[docs]    def _generate_coordinates(self):
+        """
+        Private method that generates the coordinates of the NACA 4 or 5 digits
+        airfoil profile. The method assumes a zero-thickness trailing edge, and
+        no half-cosine spacing.
+        """
+        a0 = +0.2969
+        a1 = -0.1260
+        a2 = -0.3516
+        a3 = +0.2843
+        a4 = -0.1036  # zero thickness TE
+
+        x = np.linspace(0.0, 1.0, num=self.n_points)
+
+        if len(self.digits) == 4:
+            # Returns n+1 points in [0 1] for the given 4-digits NACA string
+            m = float(self.digits[0]) / 100.0
+            p = float(self.digits[1]) / 10.0
+            t = float(self.digits[2:]) / 100.0
+
+            # half-thickness distribution
+            yt = 5 * t * (a0 * np.sqrt(x) + a1 * x + a2 * np.power(x, 2) +
+                          a3 * np.power(x, 3) + a4 * np.power(x, 4))
+
+            if p == 0:
+                # Symmetric foil
+                self.xup_coordinates = np.linspace(0.0, 1.0, num=self.n_points)
+                self.yup_coordinates = yt
+                self.xdown_coordinates = np.linspace(
+                    0.0, 1.0, num=self.n_points)
+                self.ydown_coordinates = -yt
+            else:
+                # Cambered foil
+                xc1 = np.asarray([xx for xx in x if xx <= p])
+                xc2 = np.asarray([xx for xx in x if xx > p])
+                yc1 = m / np.power(p, 2) * xc1 * (2 * p - xc1)
+                yc2 = m / np.power(1 - p, 2) * (1 - 2 * p + xc2) * (1 - xc2)
+                # Y-coordinates of camber line
+                yc = np.append(yc1, yc2)
+
+                if self.cosine_spacing:
+                    # points are generated according to cosine distribution of
+                    # the X-coordinates of the chord
+                    dyc1_dx = m / np.power(p, 2) * (2 * p - 2 * xc1)
+                    dyc2_dx = m / np.power(1 - p, 2) * (2 * p - 2 * xc2)
+                    dyc_dx = np.append(dyc1_dx, dyc2_dx)
+                    theta = np.arctan(dyc_dx)
+                    self.xup_coordinates = x - yt * np.sin(theta)
+                    self.yup_coordinates = yc + yt * np.cos(theta)
+                    self.xdown_coordinates = x + yt * np.sin(theta)
+                    self.ydown_coordinates = yc - yt * np.cos(theta)
+                else:
+                    # Linear spacing distribution of the foil coordinates
+                    self.xup_coordinates = np.linspace(
+                        0.0, 1.0, num=self.n_points)
+                    self.xdown_coordinates = np.linspace(
+                        0.0, 1.0, num=self.n_points)
+                    self.yup_coordinates = yc + yt
+                    self.ydown_coordinates = yc - yt
+
+        elif len(self.digits) == 5:
+            # Returns n+1 points in [0 1] for the given 5-digits NACA string
+            cld = float(self.digits[0]) * 0.15
+            p = 5.0 * float(self.digits[1]) / 100.0
+            s = float(self.digits[2])
+            t = float(self.digits[3:]) / 100.0
+
+            # half-thickness distribution
+            yt = 5 * t * (a0 * np.sqrt(x) + a1 * x + a2 * np.power(x, 2) +
+                          a3 * np.power(x, 3) + a4 * np.power(x, 4))
+
+            if s == 1:
+                # Relfex camber
+                P = np.array([0.1, 0.15, 0.2, 0.25])
+                M = np.array([0.13, 0.2170, 0.318, 0.441])
+                K = np.array([51.99, 15.793, 6.520, 3.191])
+            elif s == 0:
+                # Standard camber
+                P = np.array([0.05, 0.1, 0.15, 0.2, 0.25])
+                M = np.array([0.0580, 0.1260, 0.2025, 0.2900, 0.3910])
+                K = np.array([361.4, 51.64, 15.957, 6.643, 3.230])
+            else:
+                raise ValueError(
+                    'For NACA "LPSTT" the value of "S" can be either 0 or 1.')
+
+            if p == 0:
+                # Symmetric foil
+                self.xup_coordinates = np.linspace(0.0, 1.0, num=self.n_points)
+                self.yup_coordinates = yt
+                self.xdown_coordinates = np.linspace(
+                    0.0, 1.0, num=self.n_points)
+                self.ydown_coordinates = -yt
+            else:
+                # Cambered foil
+                spl_m = splrep(P, M)
+                spl_k = splrep(M, K)
+                m = splev(p, spl_m)
+                k1 = splev(m, spl_k)
+                xc1 = np.asarray([xx for xx in x if xx <= m])
+                xc2 = np.asarray([xx for xx in x if xx > m])
+                yc1 = k1 / 6.0 * (np.power(xc1, 3) - 3 * m * np.power(xc1, 2) +
+                                  np.power(m, 2) * (3 - m) * xc1)
+                yc2 = k1 / 6.0 * np.power(m, 3) * (1 - xc2)
+                yc = np.append(yc1, yc2)
+
+                if self.cosine_spacing:
+                    # points are generated according to cosine distribution of
+                    # the X-coordinates of the chord
+                    zc = cld / 0.3 * yc
+                    dyc1_dx = 1.0 / 6.0 * k1 * (
+                        3 * np.power(xc1, 2) - 6 * m * xc1 + np.power(m, 2) *
+                        (3 - m))
+                    dyc2_dx = np.tile(-1.0 / 6.0 * k1 * np.power(m, 3),
+                                      len(xc2))
+                    dyc_dx = np.append(dyc1_dx, dyc2_dx)
+                    theta = np.arctan(dyc_dx)
+                    self.xup_coordinates = x - yt * np.sin(theta)
+                    self.yup_coordinates = zc + yt * np.cos(theta)
+                    self.xdown_coordinates = x + yt * np.sin(theta)
+                    self.ydown_coordinates = zc - yt * np.cos(theta)
+                else:
+                    # Linear spacing distribution of the foil coordinates
+                    self.xup_coordinates = np.linspace(
+                        0.0, 1.0, num=self.n_points)
+                    self.xdown_coordinates = np.linspace(
+                        0.0, 1.0, num=self.n_points)
+                    self.yup_coordinates = yc + yt
+                    self.ydown_coordinates = yc - yt
+
+        else:
+            raise Exception

+
+ +
+
+
+ + +
+ +
+

+ © Copyright 2018, BladeX contributors. + Last updated on Jul 26, 2018. + +

+
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+ +
+ +
+ + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/_sources/LICENSE.txt b/_sources/LICENSE.txt new file mode 100644 index 0000000..2f7644a --- /dev/null +++ b/_sources/LICENSE.txt @@ -0,0 +1 @@ +.. include:: ../../LICENSE.rst diff --git a/_sources/_summaries/bladex.blade.Blade._abs_to_norm.txt b/_sources/_summaries/bladex.blade.Blade._abs_to_norm.txt new file mode 100644 index 0000000..a989f53 --- /dev/null +++ b/_sources/_summaries/bladex.blade.Blade._abs_to_norm.txt @@ -0,0 +1,6 @@ +bladex.blade.Blade._abs_to_norm +=============================== + +.. currentmodule:: bladex.blade + +.. automethod:: Blade._abs_to_norm \ No newline at end of file diff --git a/_sources/_summaries/bladex.blade.Blade._check_params.txt b/_sources/_summaries/bladex.blade.Blade._check_params.txt new file mode 100644 index 0000000..73519f6 --- /dev/null +++ b/_sources/_summaries/bladex.blade.Blade._check_params.txt @@ -0,0 +1,6 @@ +bladex.blade.Blade._check_params +================================ + +.. currentmodule:: bladex.blade + +.. automethod:: Blade._check_params \ No newline at end of file diff --git a/_sources/_summaries/bladex.blade.Blade._compute_pitch_angle.txt b/_sources/_summaries/bladex.blade.Blade._compute_pitch_angle.txt new file mode 100644 index 0000000..8c5f8d6 --- /dev/null +++ b/_sources/_summaries/bladex.blade.Blade._compute_pitch_angle.txt @@ -0,0 +1,6 @@ +bladex.blade.Blade._compute_pitch_angle +======================================= + +.. currentmodule:: bladex.blade + +.. automethod:: Blade._compute_pitch_angle \ No newline at end of file diff --git a/_sources/_summaries/bladex.blade.Blade._induced_rake_from_skew.txt b/_sources/_summaries/bladex.blade.Blade._induced_rake_from_skew.txt new file mode 100644 index 0000000..9b0b3b0 --- /dev/null +++ b/_sources/_summaries/bladex.blade.Blade._induced_rake_from_skew.txt @@ -0,0 +1,6 @@ +bladex.blade.Blade._induced_rake_from_skew +========================================== + +.. currentmodule:: bladex.blade + +.. automethod:: Blade._induced_rake_from_skew \ No newline at end of file diff --git a/_sources/_summaries/bladex.blade.Blade._norm_to_abs.txt b/_sources/_summaries/bladex.blade.Blade._norm_to_abs.txt new file mode 100644 index 0000000..c4b80f9 --- /dev/null +++ b/_sources/_summaries/bladex.blade.Blade._norm_to_abs.txt @@ -0,0 +1,6 @@ +bladex.blade.Blade._norm_to_abs +=============================== + +.. currentmodule:: bladex.blade + +.. automethod:: Blade._norm_to_abs \ No newline at end of file diff --git a/_sources/_summaries/bladex.blade.Blade._planar_to_cylindrical.txt b/_sources/_summaries/bladex.blade.Blade._planar_to_cylindrical.txt new file mode 100644 index 0000000..668a7ca --- /dev/null +++ b/_sources/_summaries/bladex.blade.Blade._planar_to_cylindrical.txt @@ -0,0 +1,6 @@ +bladex.blade.Blade._planar_to_cylindrical +========================================= + +.. currentmodule:: bladex.blade + +.. automethod:: Blade._planar_to_cylindrical \ No newline at end of file diff --git a/_sources/_summaries/bladex.blade.Blade.apply_transformations.txt b/_sources/_summaries/bladex.blade.Blade.apply_transformations.txt new file mode 100644 index 0000000..1e6376a --- /dev/null +++ b/_sources/_summaries/bladex.blade.Blade.apply_transformations.txt @@ -0,0 +1,6 @@ +bladex.blade.Blade.apply_transformations +======================================== + +.. currentmodule:: bladex.blade + +.. automethod:: Blade.apply_transformations \ No newline at end of file diff --git a/_sources/_summaries/bladex.blade.Blade.export_ppg.txt b/_sources/_summaries/bladex.blade.Blade.export_ppg.txt new file mode 100644 index 0000000..19cdf3a --- /dev/null +++ b/_sources/_summaries/bladex.blade.Blade.export_ppg.txt @@ -0,0 +1,6 @@ +bladex.blade.Blade.export_ppg +============================= + +.. currentmodule:: bladex.blade + +.. automethod:: Blade.export_ppg \ No newline at end of file diff --git a/_sources/_summaries/bladex.blade.Blade.plot.txt b/_sources/_summaries/bladex.blade.Blade.plot.txt new file mode 100644 index 0000000..710893d --- /dev/null +++ b/_sources/_summaries/bladex.blade.Blade.plot.txt @@ -0,0 +1,6 @@ +bladex.blade.Blade.plot +======================= + +.. currentmodule:: bladex.blade + +.. automethod:: Blade.plot \ No newline at end of file diff --git a/_sources/_summaries/bladex.deform.Deformation._check_control_points.txt b/_sources/_summaries/bladex.deform.Deformation._check_control_points.txt new file mode 100644 index 0000000..1b296d7 --- /dev/null +++ b/_sources/_summaries/bladex.deform.Deformation._check_control_points.txt @@ -0,0 +1,6 @@ +bladex.deform.Deformation._check_control_points +=============================================== + +.. currentmodule:: bladex.deform + +.. automethod:: Deformation._check_control_points \ No newline at end of file diff --git a/_sources/_summaries/bladex.deform.Deformation._check_deformed.txt b/_sources/_summaries/bladex.deform.Deformation._check_deformed.txt new file mode 100644 index 0000000..8e41a83 --- /dev/null +++ b/_sources/_summaries/bladex.deform.Deformation._check_deformed.txt @@ -0,0 +1,6 @@ +bladex.deform.Deformation._check_deformed +========================================= + +.. currentmodule:: bladex.deform + +.. automethod:: Deformation._check_deformed \ No newline at end of file diff --git a/_sources/_summaries/bladex.deform.Deformation._check_param.txt b/_sources/_summaries/bladex.deform.Deformation._check_param.txt new file mode 100644 index 0000000..9869278 --- /dev/null +++ b/_sources/_summaries/bladex.deform.Deformation._check_param.txt @@ -0,0 +1,6 @@ +bladex.deform.Deformation._check_param +====================================== + +.. currentmodule:: bladex.deform + +.. automethod:: Deformation._check_param \ No newline at end of file diff --git a/_sources/_summaries/bladex.deform.Deformation._check_spline.txt b/_sources/_summaries/bladex.deform.Deformation._check_spline.txt new file mode 100644 index 0000000..f5d3f8b --- /dev/null +++ b/_sources/_summaries/bladex.deform.Deformation._check_spline.txt @@ -0,0 +1,6 @@ +bladex.deform.Deformation._check_spline +======================================= + +.. currentmodule:: bladex.deform + +.. automethod:: Deformation._check_spline \ No newline at end of file diff --git a/_sources/_summaries/bladex.deform.Deformation._optimum_control_points.txt b/_sources/_summaries/bladex.deform.Deformation._optimum_control_points.txt new file mode 100644 index 0000000..dcf72d8 --- /dev/null +++ b/_sources/_summaries/bladex.deform.Deformation._optimum_control_points.txt @@ -0,0 +1,6 @@ +bladex.deform.Deformation._optimum_control_points +================================================= + +.. currentmodule:: bladex.deform + +.. automethod:: Deformation._optimum_control_points \ No newline at end of file diff --git a/_sources/_summaries/bladex.deform.Deformation.compute_all.txt b/_sources/_summaries/bladex.deform.Deformation.compute_all.txt new file mode 100644 index 0000000..9b6b9a0 --- /dev/null +++ b/_sources/_summaries/bladex.deform.Deformation.compute_all.txt @@ -0,0 +1,6 @@ +bladex.deform.Deformation.compute_all +===================================== + +.. currentmodule:: bladex.deform + +.. automethod:: Deformation.compute_all \ No newline at end of file diff --git a/_sources/_summaries/bladex.deform.Deformation.compute_control_points.txt b/_sources/_summaries/bladex.deform.Deformation.compute_control_points.txt new file mode 100644 index 0000000..4c8dec7 --- /dev/null +++ b/_sources/_summaries/bladex.deform.Deformation.compute_control_points.txt @@ -0,0 +1,6 @@ +bladex.deform.Deformation.compute_control_points +================================================ + +.. currentmodule:: bladex.deform + +.. automethod:: Deformation.compute_control_points \ No newline at end of file diff --git a/_sources/_summaries/bladex.deform.Deformation.compute_deformed_parameters.txt b/_sources/_summaries/bladex.deform.Deformation.compute_deformed_parameters.txt new file mode 100644 index 0000000..bda947f --- /dev/null +++ b/_sources/_summaries/bladex.deform.Deformation.compute_deformed_parameters.txt @@ -0,0 +1,6 @@ +bladex.deform.Deformation.compute_deformed_parameters +===================================================== + +.. currentmodule:: bladex.deform + +.. automethod:: Deformation.compute_deformed_parameters \ No newline at end of file diff --git a/_sources/_summaries/bladex.deform.Deformation.export_param_file.txt b/_sources/_summaries/bladex.deform.Deformation.export_param_file.txt new file mode 100644 index 0000000..f27ba3b --- /dev/null +++ b/_sources/_summaries/bladex.deform.Deformation.export_param_file.txt @@ -0,0 +1,6 @@ +bladex.deform.Deformation.export_param_file +=========================================== + +.. currentmodule:: bladex.deform + +.. automethod:: Deformation.export_param_file \ No newline at end of file diff --git a/_sources/_summaries/bladex.deform.Deformation.generate_spline.txt b/_sources/_summaries/bladex.deform.Deformation.generate_spline.txt new file mode 100644 index 0000000..277c94c --- /dev/null +++ b/_sources/_summaries/bladex.deform.Deformation.generate_spline.txt @@ -0,0 +1,6 @@ +bladex.deform.Deformation.generate_spline +========================================= + +.. currentmodule:: bladex.deform + +.. automethod:: Deformation.generate_spline \ No newline at end of file diff --git a/_sources/_summaries/bladex.deform.Deformation.plot.txt b/_sources/_summaries/bladex.deform.Deformation.plot.txt new file mode 100644 index 0000000..6d65a15 --- /dev/null +++ b/_sources/_summaries/bladex.deform.Deformation.plot.txt @@ -0,0 +1,6 @@ +bladex.deform.Deformation.plot +============================== + +.. currentmodule:: bladex.deform + +.. automethod:: Deformation.plot \ No newline at end of file diff --git a/_sources/_summaries/bladex.deform.Deformation.update_control_points.txt b/_sources/_summaries/bladex.deform.Deformation.update_control_points.txt new file mode 100644 index 0000000..7b5730d --- /dev/null +++ b/_sources/_summaries/bladex.deform.Deformation.update_control_points.txt @@ -0,0 +1,6 @@ +bladex.deform.Deformation.update_control_points +=============================================== + +.. currentmodule:: bladex.deform + +.. automethod:: Deformation.update_control_points \ No newline at end of file diff --git a/_sources/_summaries/bladex.ndinterpolator.RBF.beckert_wendland_c2_basis.txt b/_sources/_summaries/bladex.ndinterpolator.RBF.beckert_wendland_c2_basis.txt new file mode 100644 index 0000000..051af36 --- /dev/null +++ b/_sources/_summaries/bladex.ndinterpolator.RBF.beckert_wendland_c2_basis.txt @@ -0,0 +1,6 @@ +bladex.ndinterpolator.RBF.beckert_wendland_c2_basis +=================================================== + +.. currentmodule:: bladex.ndinterpolator + +.. automethod:: RBF.beckert_wendland_c2_basis \ No newline at end of file diff --git a/_sources/_summaries/bladex.ndinterpolator.RBF.gaussian_spline.txt b/_sources/_summaries/bladex.ndinterpolator.RBF.gaussian_spline.txt new file mode 100644 index 0000000..3c453e3 --- /dev/null +++ b/_sources/_summaries/bladex.ndinterpolator.RBF.gaussian_spline.txt @@ -0,0 +1,6 @@ +bladex.ndinterpolator.RBF.gaussian_spline +========================================= + +.. currentmodule:: bladex.ndinterpolator + +.. automethod:: RBF.gaussian_spline \ No newline at end of file diff --git a/_sources/_summaries/bladex.ndinterpolator.RBF.inv_multi_quadratic_biharmonic_spline.txt b/_sources/_summaries/bladex.ndinterpolator.RBF.inv_multi_quadratic_biharmonic_spline.txt new file mode 100644 index 0000000..ec867c2 --- /dev/null +++ b/_sources/_summaries/bladex.ndinterpolator.RBF.inv_multi_quadratic_biharmonic_spline.txt @@ -0,0 +1,6 @@ +bladex.ndinterpolator.RBF.inv_multi_quadratic_biharmonic_spline +=============================================================== + +.. currentmodule:: bladex.ndinterpolator + +.. automethod:: RBF.inv_multi_quadratic_biharmonic_spline \ No newline at end of file diff --git a/_sources/_summaries/bladex.ndinterpolator.RBF.multi_quadratic_biharmonic_spline.txt b/_sources/_summaries/bladex.ndinterpolator.RBF.multi_quadratic_biharmonic_spline.txt new file mode 100644 index 0000000..9e7877c --- /dev/null +++ b/_sources/_summaries/bladex.ndinterpolator.RBF.multi_quadratic_biharmonic_spline.txt @@ -0,0 +1,6 @@ +bladex.ndinterpolator.RBF.multi_quadratic_biharmonic_spline +=========================================================== + +.. currentmodule:: bladex.ndinterpolator + +.. automethod:: RBF.multi_quadratic_biharmonic_spline \ No newline at end of file diff --git a/_sources/_summaries/bladex.ndinterpolator.RBF.thin_plate_spline.txt b/_sources/_summaries/bladex.ndinterpolator.RBF.thin_plate_spline.txt new file mode 100644 index 0000000..d9e9435 --- /dev/null +++ b/_sources/_summaries/bladex.ndinterpolator.RBF.thin_plate_spline.txt @@ -0,0 +1,6 @@ +bladex.ndinterpolator.RBF.thin_plate_spline +=========================================== + +.. currentmodule:: bladex.ndinterpolator + +.. automethod:: RBF.thin_plate_spline \ No newline at end of file diff --git a/_sources/_summaries/bladex.ndinterpolator.RBF.weights_matrix.txt b/_sources/_summaries/bladex.ndinterpolator.RBF.weights_matrix.txt new file mode 100644 index 0000000..719cc9e --- /dev/null +++ b/_sources/_summaries/bladex.ndinterpolator.RBF.weights_matrix.txt @@ -0,0 +1,6 @@ +bladex.ndinterpolator.RBF.weights_matrix +======================================== + +.. currentmodule:: bladex.ndinterpolator + +.. automethod:: RBF.weights_matrix \ No newline at end of file diff --git a/_sources/_summaries/bladex.ndinterpolator.reconstruct_f.txt b/_sources/_summaries/bladex.ndinterpolator.reconstruct_f.txt new file mode 100644 index 0000000..7096878 --- /dev/null +++ b/_sources/_summaries/bladex.ndinterpolator.reconstruct_f.txt @@ -0,0 +1,6 @@ +bladex.ndinterpolator.reconstruct_f +=================================== + +.. currentmodule:: bladex.ndinterpolator + +.. autofunction:: reconstruct_f \ No newline at end of file diff --git a/_sources/_summaries/bladex.params.ParamFile.__str__.txt b/_sources/_summaries/bladex.params.ParamFile.__str__.txt new file mode 100644 index 0000000..f257a28 --- /dev/null +++ b/_sources/_summaries/bladex.params.ParamFile.__str__.txt @@ -0,0 +1,6 @@ +bladex.params.ParamFile.__str__ +=============================== + +.. currentmodule:: bladex.params + +.. automethod:: ParamFile.__str__ \ No newline at end of file diff --git a/_sources/_summaries/bladex.params.ParamFile._check_params.txt b/_sources/_summaries/bladex.params.ParamFile._check_params.txt new file mode 100644 index 0000000..0df5459 --- /dev/null +++ b/_sources/_summaries/bladex.params.ParamFile._check_params.txt @@ -0,0 +1,6 @@ +bladex.params.ParamFile._check_params +===================================== + +.. currentmodule:: bladex.params + +.. automethod:: ParamFile._check_params \ No newline at end of file diff --git a/_sources/_summaries/bladex.params.ParamFile.read_parameters.txt b/_sources/_summaries/bladex.params.ParamFile.read_parameters.txt new file mode 100644 index 0000000..f58f478 --- /dev/null +++ b/_sources/_summaries/bladex.params.ParamFile.read_parameters.txt @@ -0,0 +1,6 @@ +bladex.params.ParamFile.read_parameters +======================================= + +.. currentmodule:: bladex.params + +.. automethod:: ParamFile.read_parameters \ No newline at end of file diff --git a/_sources/_summaries/bladex.params.ParamFile.write_parameters.txt b/_sources/_summaries/bladex.params.ParamFile.write_parameters.txt new file mode 100644 index 0000000..7e2edf6 --- /dev/null +++ b/_sources/_summaries/bladex.params.ParamFile.write_parameters.txt @@ -0,0 +1,6 @@ +bladex.params.ParamFile.write_parameters +======================================== + +.. currentmodule:: bladex.params + +.. automethod:: ParamFile.write_parameters \ No newline at end of file diff --git a/_sources/_summaries/bladex.profilebase.ProfileBase._update_edges.txt b/_sources/_summaries/bladex.profilebase.ProfileBase._update_edges.txt new file mode 100644 index 0000000..7db9efc --- /dev/null +++ b/_sources/_summaries/bladex.profilebase.ProfileBase._update_edges.txt @@ -0,0 +1,6 @@ +bladex.profilebase.ProfileBase._update_edges +============================================ + +.. currentmodule:: bladex.profilebase + +.. automethod:: ProfileBase._update_edges \ No newline at end of file diff --git a/_sources/_summaries/bladex.profilebase.ProfileBase.chord_length.txt b/_sources/_summaries/bladex.profilebase.ProfileBase.chord_length.txt new file mode 100644 index 0000000..a3de6a6 --- /dev/null +++ b/_sources/_summaries/bladex.profilebase.ProfileBase.chord_length.txt @@ -0,0 +1,6 @@ +bladex.profilebase.ProfileBase.chord_length +=========================================== + +.. currentmodule:: bladex.profilebase + +.. autoattribute:: ProfileBase.chord_length \ No newline at end of file diff --git a/_sources/_summaries/bladex.profilebase.ProfileBase.compute_camber_line.txt b/_sources/_summaries/bladex.profilebase.ProfileBase.compute_camber_line.txt new file mode 100644 index 0000000..1356261 --- /dev/null +++ b/_sources/_summaries/bladex.profilebase.ProfileBase.compute_camber_line.txt @@ -0,0 +1,6 @@ +bladex.profilebase.ProfileBase.compute_camber_line +================================================== + +.. currentmodule:: bladex.profilebase + +.. automethod:: ProfileBase.compute_camber_line \ No newline at end of file diff --git a/_sources/_summaries/bladex.profilebase.ProfileBase.compute_chord_line.txt b/_sources/_summaries/bladex.profilebase.ProfileBase.compute_chord_line.txt new file mode 100644 index 0000000..99e0493 --- /dev/null +++ b/_sources/_summaries/bladex.profilebase.ProfileBase.compute_chord_line.txt @@ -0,0 +1,6 @@ +bladex.profilebase.ProfileBase.compute_chord_line +================================================= + +.. currentmodule:: bladex.profilebase + +.. automethod:: ProfileBase.compute_chord_line \ No newline at end of file diff --git a/_sources/_summaries/bladex.profilebase.ProfileBase.deform_camber_line.txt b/_sources/_summaries/bladex.profilebase.ProfileBase.deform_camber_line.txt new file mode 100644 index 0000000..880a43d --- /dev/null +++ b/_sources/_summaries/bladex.profilebase.ProfileBase.deform_camber_line.txt @@ -0,0 +1,6 @@ +bladex.profilebase.ProfileBase.deform_camber_line +================================================= + +.. currentmodule:: bladex.profilebase + +.. automethod:: ProfileBase.deform_camber_line \ No newline at end of file diff --git a/_sources/_summaries/bladex.profilebase.ProfileBase.flip.txt b/_sources/_summaries/bladex.profilebase.ProfileBase.flip.txt new file mode 100644 index 0000000..e5c7dc5 --- /dev/null +++ b/_sources/_summaries/bladex.profilebase.ProfileBase.flip.txt @@ -0,0 +1,6 @@ +bladex.profilebase.ProfileBase.flip +=================================== + +.. currentmodule:: bladex.profilebase + +.. automethod:: ProfileBase.flip \ No newline at end of file diff --git a/_sources/_summaries/bladex.profilebase.ProfileBase.interpolate_coordinates.txt b/_sources/_summaries/bladex.profilebase.ProfileBase.interpolate_coordinates.txt new file mode 100644 index 0000000..7a783b2 --- /dev/null +++ b/_sources/_summaries/bladex.profilebase.ProfileBase.interpolate_coordinates.txt @@ -0,0 +1,6 @@ +bladex.profilebase.ProfileBase.interpolate_coordinates +====================================================== + +.. currentmodule:: bladex.profilebase + +.. automethod:: ProfileBase.interpolate_coordinates \ No newline at end of file diff --git a/_sources/_summaries/bladex.profilebase.ProfileBase.max_camber.txt b/_sources/_summaries/bladex.profilebase.ProfileBase.max_camber.txt new file mode 100644 index 0000000..fd959b5 --- /dev/null +++ b/_sources/_summaries/bladex.profilebase.ProfileBase.max_camber.txt @@ -0,0 +1,6 @@ +bladex.profilebase.ProfileBase.max_camber +========================================= + +.. currentmodule:: bladex.profilebase + +.. automethod:: ProfileBase.max_camber \ No newline at end of file diff --git a/_sources/_summaries/bladex.profilebase.ProfileBase.max_thickness.txt b/_sources/_summaries/bladex.profilebase.ProfileBase.max_thickness.txt new file mode 100644 index 0000000..445e898 --- /dev/null +++ b/_sources/_summaries/bladex.profilebase.ProfileBase.max_thickness.txt @@ -0,0 +1,6 @@ +bladex.profilebase.ProfileBase.max_thickness +============================================ + +.. currentmodule:: bladex.profilebase + +.. automethod:: ProfileBase.max_thickness \ No newline at end of file diff --git a/_sources/_summaries/bladex.profilebase.ProfileBase.plot.txt b/_sources/_summaries/bladex.profilebase.ProfileBase.plot.txt new file mode 100644 index 0000000..88d7bc8 --- /dev/null +++ b/_sources/_summaries/bladex.profilebase.ProfileBase.plot.txt @@ -0,0 +1,6 @@ +bladex.profilebase.ProfileBase.plot +=================================== + +.. currentmodule:: bladex.profilebase + +.. automethod:: ProfileBase.plot \ No newline at end of file diff --git a/_sources/_summaries/bladex.profilebase.ProfileBase.reference_point.txt b/_sources/_summaries/bladex.profilebase.ProfileBase.reference_point.txt new file mode 100644 index 0000000..068057e --- /dev/null +++ b/_sources/_summaries/bladex.profilebase.ProfileBase.reference_point.txt @@ -0,0 +1,6 @@ +bladex.profilebase.ProfileBase.reference_point +============================================== + +.. currentmodule:: bladex.profilebase + +.. autoattribute:: ProfileBase.reference_point \ No newline at end of file diff --git a/_sources/_summaries/bladex.profilebase.ProfileBase.reflect.txt b/_sources/_summaries/bladex.profilebase.ProfileBase.reflect.txt new file mode 100644 index 0000000..cc6f799 --- /dev/null +++ b/_sources/_summaries/bladex.profilebase.ProfileBase.reflect.txt @@ -0,0 +1,6 @@ +bladex.profilebase.ProfileBase.reflect +====================================== + +.. currentmodule:: bladex.profilebase + +.. automethod:: ProfileBase.reflect \ No newline at end of file diff --git a/_sources/_summaries/bladex.profilebase.ProfileBase.rotate.txt b/_sources/_summaries/bladex.profilebase.ProfileBase.rotate.txt new file mode 100644 index 0000000..6acecdb --- /dev/null +++ b/_sources/_summaries/bladex.profilebase.ProfileBase.rotate.txt @@ -0,0 +1,6 @@ +bladex.profilebase.ProfileBase.rotate +===================================== + +.. currentmodule:: bladex.profilebase + +.. automethod:: ProfileBase.rotate \ No newline at end of file diff --git a/_sources/_summaries/bladex.profilebase.ProfileBase.scale.txt b/_sources/_summaries/bladex.profilebase.ProfileBase.scale.txt new file mode 100644 index 0000000..d43b142 --- /dev/null +++ b/_sources/_summaries/bladex.profilebase.ProfileBase.scale.txt @@ -0,0 +1,6 @@ +bladex.profilebase.ProfileBase.scale +==================================== + +.. currentmodule:: bladex.profilebase + +.. automethod:: ProfileBase.scale \ No newline at end of file diff --git a/_sources/_summaries/bladex.profilebase.ProfileBase.translate.txt b/_sources/_summaries/bladex.profilebase.ProfileBase.translate.txt new file mode 100644 index 0000000..a1e0f17 --- /dev/null +++ b/_sources/_summaries/bladex.profilebase.ProfileBase.translate.txt @@ -0,0 +1,6 @@ +bladex.profilebase.ProfileBase.translate +======================================== + +.. currentmodule:: bladex.profilebase + +.. automethod:: ProfileBase.translate \ No newline at end of file diff --git a/_sources/_summaries/bladex.profiles.CustomProfile._check_coordinates.txt b/_sources/_summaries/bladex.profiles.CustomProfile._check_coordinates.txt new file mode 100644 index 0000000..8b6c338 --- /dev/null +++ b/_sources/_summaries/bladex.profiles.CustomProfile._check_coordinates.txt @@ -0,0 +1,6 @@ +bladex.profiles.CustomProfile._check_coordinates +================================================ + +.. currentmodule:: bladex.profiles + +.. automethod:: CustomProfile._check_coordinates \ No newline at end of file diff --git a/_sources/_summaries/bladex.profiles.CustomProfile.txt b/_sources/_summaries/bladex.profiles.CustomProfile.txt new file mode 100644 index 0000000..ab70c0e --- /dev/null +++ b/_sources/_summaries/bladex.profiles.CustomProfile.txt @@ -0,0 +1,37 @@ +bladex.profiles.CustomProfile +============================= + +.. currentmodule:: bladex.profiles + +.. autoclass:: CustomProfile + + + .. automethod:: __init__ + + + .. rubric:: Methods + + .. autosummary:: + + ~CustomProfile.__init__ + ~CustomProfile.flip + ~CustomProfile.interpolate_coordinates + ~CustomProfile.max_camber + ~CustomProfile.max_thickness + ~CustomProfile.plot + ~CustomProfile.rotate + ~CustomProfile.scale + ~CustomProfile.translate + + + + + + .. rubric:: Attributes + + .. autosummary:: + + ~CustomProfile.chord_length + ~CustomProfile.reference_point + + \ No newline at end of file diff --git a/_sources/_summaries/bladex.profiles.NacaProfile._check_args.txt b/_sources/_summaries/bladex.profiles.NacaProfile._check_args.txt new file mode 100644 index 0000000..f5dd98b --- /dev/null +++ b/_sources/_summaries/bladex.profiles.NacaProfile._check_args.txt @@ -0,0 +1,6 @@ +bladex.profiles.NacaProfile._check_args +======================================= + +.. currentmodule:: bladex.profiles + +.. automethod:: NacaProfile._check_args \ No newline at end of file diff --git a/_sources/_summaries/bladex.profiles.NacaProfile._generate_coordinates.txt b/_sources/_summaries/bladex.profiles.NacaProfile._generate_coordinates.txt new file mode 100644 index 0000000..142fd93 --- /dev/null +++ b/_sources/_summaries/bladex.profiles.NacaProfile._generate_coordinates.txt @@ -0,0 +1,6 @@ +bladex.profiles.NacaProfile._generate_coordinates +================================================= + +.. currentmodule:: bladex.profiles + +.. automethod:: NacaProfile._generate_coordinates \ No newline at end of file diff --git a/_sources/blade.txt b/_sources/blade.txt new file mode 100644 index 0000000..fc41250 --- /dev/null +++ b/_sources/blade.txt @@ -0,0 +1,29 @@ +Blade +================= + +.. currentmodule:: bladex.blade + +.. automodule:: bladex.blade + +.. autosummary:: + :toctree: _summaries + :nosignatures: + + Blade._abs_to_norm + Blade._check_params + Blade._compute_pitch_angle + Blade._induced_rake_from_skew + Blade._norm_to_abs + Blade._planar_to_cylindrical + Blade.apply_transformations + Blade.plot + Blade.export_ppg + + +.. autoclass:: Blade + :members: + :private-members: + :undoc-members: + :show-inheritance: + :noindex: + diff --git a/_sources/code.txt b/_sources/code.txt new file mode 100644 index 0000000..7fbd458 --- /dev/null +++ b/_sources/code.txt @@ -0,0 +1,13 @@ +Code Documentation +================== + +.. toctree:: + :maxdepth: 2 + + blade + deform + ndinterpolator + profilebase + params + profiles + diff --git a/_sources/contact.txt b/_sources/contact.txt new file mode 100644 index 0000000..3e2298a --- /dev/null +++ b/_sources/contact.txt @@ -0,0 +1,7 @@ +Contact +======= + +Feel free to contact the authors for any informations. + +- marcotez@gmail.com +- gadalla.mah@gmail.com \ No newline at end of file diff --git a/_sources/contributing.txt b/_sources/contributing.txt new file mode 100644 index 0000000..f4b7f10 --- /dev/null +++ b/_sources/contributing.txt @@ -0,0 +1,36 @@ +How to contribute +=================== + +We'd love to accept your patches and contributions to this project. There are +just a few small guidelines you need to follow. + +Submitting a patch: + + 1. It's generally best to start by opening a new issue describing the bug or + feature you're intending to fix. Even if you think it's relatively minor, + it's helpful to know what people are working on. Mention in the initial + issue that you are planning to work on that bug or feature so that it can + be assigned to you. + + 2. Follow the normal process of forking the project, and setup a new + branch to work in. It's important that each group of changes be done in + separate branches in order to ensure that a pull request only includes the + commits related to that bug or feature. + + 3. To ensure properly formatted code, please make sure to use 4 + spaces to indent the code. You should also run pylint over your code. + It's not strictly necessary that your code be completely "lint-free", + but this will help you find common style issues. + + 4. Any significant changes should almost always be accompanied by tests. The + project already has good test coverage, so look at some of the existing + tests if you're unsure how to go about it. We're using coveralls that + is an invaluable tools for seeing which parts of your code aren't being + exercised by your tests. + + 5. Do your best to have well-formed commit messages for each change. + This provides consistency throughout the project, and ensures that commit + messages are able to be formatted properly by various git tools. + + 6. Finally, push the commits to your fork and submit a pull request. Please, + remember to rebase properly in order to maintain a clean, linear git history. \ No newline at end of file diff --git a/_sources/deform.txt b/_sources/deform.txt new file mode 100644 index 0000000..e639f9b --- /dev/null +++ b/_sources/deform.txt @@ -0,0 +1,32 @@ +Deformation +================= + +.. currentmodule:: bladex.deform + +.. automodule:: bladex.deform + +.. autosummary:: + :toctree: _summaries + :nosignatures: + + Deformation._check_control_points + Deformation._check_deformed + Deformation._check_param + Deformation._check_spline + Deformation._optimum_control_points + Deformation.compute_all + Deformation.compute_control_points + Deformation.compute_deformed_parameters + Deformation.export_param_file + Deformation.generate_spline + Deformation.plot + Deformation.update_control_points + + +.. autoclass:: Deformation + :members: + :private-members: + :undoc-members: + :show-inheritance: + :noindex: + diff --git a/_sources/index.txt b/_sources/index.txt new file mode 100644 index 0000000..9b3740f --- /dev/null +++ b/_sources/index.txt @@ -0,0 +1,53 @@ +Welcome to BladeX's documentation! +=================================================== + +Description +^^^^^^^^^^^^ + +BladeX is a Python package for blade generation. + + +Installation +-------------------- +BladeX requires numpy, scipy, matplotlib, and sphinx (for the documentation). They can be easily installed via pip. + + +The `official distribution `_ is on GitHub, and you can clone the repository using +:: + + git clone https://github.com/mathLab/BladeX + +To install the package just type: +:: + + python setup.py install + +To uninstall the package you have to rerun the installation and record the installed files in order to remove them: + +:: + + python setup.py install --record installed_files.txt + cat installed_files.txt | xargs rm -rf + + + + +Developer's Guide +-------------------- + +.. toctree:: + :maxdepth: 1 + + code + contact + contributing + LICENSE + + + +Indices and tables +^^^^^^^^^^^^^^^^^^^^^^^^ + +* :ref:`genindex` +* :ref:`modindex` +* :ref:`search` diff --git a/_sources/ndinterpolator.txt b/_sources/ndinterpolator.txt new file mode 100644 index 0000000..5e80328 --- /dev/null +++ b/_sources/ndinterpolator.txt @@ -0,0 +1,24 @@ +Ndinterpolator +================= + +.. currentmodule:: bladex.ndinterpolator + +.. automodule:: bladex.ndinterpolator + +.. autosummary:: + :toctree: _summaries + :nosignatures: + + RBF.beckert_wendland_c2_basis + RBF.gaussian_spline + RBF.inv_multi_quadratic_biharmonic_spline + RBF.multi_quadratic_biharmonic_spline + RBF.thin_plate_spline + RBF.weights_matrix + reconstruct_f + + +.. automodule:: bladex.ndinterpolator + :members: + :undoc-members: + :noindex: \ No newline at end of file diff --git a/_sources/params.txt b/_sources/params.txt new file mode 100644 index 0000000..8cb3e14 --- /dev/null +++ b/_sources/params.txt @@ -0,0 +1,24 @@ +ParamFile +================= + +.. currentmodule:: bladex.params + +.. automodule:: bladex.params + +.. autosummary:: + :toctree: _summaries + :nosignatures: + + ParamFile._check_params + ParamFile.__str__ + ParamFile.read_parameters + ParamFile.write_parameters + + +.. autoclass:: ParamFile + :members: + :private-members: + :undoc-members: + :show-inheritance: + :noindex: + diff --git a/_sources/profilebase.txt b/_sources/profilebase.txt new file mode 100644 index 0000000..4ab9c1c --- /dev/null +++ b/_sources/profilebase.txt @@ -0,0 +1,34 @@ +ProfileBase +================= + +.. currentmodule:: bladex.profilebase + +.. automodule:: bladex.profilebase + +.. autosummary:: + :toctree: _summaries + :nosignatures: + + ProfileBase._update_edges + ProfileBase.chord_length + ProfileBase.compute_camber_line + ProfileBase.compute_chord_line + ProfileBase.deform_camber_line + ProfileBase.interpolate_coordinates + ProfileBase.max_camber + ProfileBase.max_thickness + ProfileBase.plot + ProfileBase.reference_point + ProfileBase.reflect + ProfileBase.rotate + ProfileBase.scale + ProfileBase.translate + + +.. autoclass:: ProfileBase + :members: + :private-members: + :undoc-members: + :show-inheritance: + :noindex: + diff --git a/_sources/profiles.txt b/_sources/profiles.txt new file mode 100644 index 0000000..0808f9d --- /dev/null +++ b/_sources/profiles.txt @@ -0,0 +1,30 @@ +Profiles +================= + +.. currentmodule:: 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Multiple values per key are supported, + * it will always return arrays of strings for the value parts. + */ +jQuery.getQueryParameters = function(s) { + if (typeof s == 'undefined') + s = document.location.search; + var parts = s.substr(s.indexOf('?') + 1).split('&'); + var result = {}; + for (var i = 0; i < parts.length; i++) { + var tmp = parts[i].split('=', 2); + var key = jQuery.urldecode(tmp[0]); + var value = jQuery.urldecode(tmp[1]); + if (key in result) + result[key].push(value); + else + result[key] = [value]; + } + return result; +}; + +/** + * highlight a given string on a jquery object by wrapping it in + * span elements with the given class name. + */ +jQuery.fn.highlightText = function(text, className) { + function highlight(node) { + if (node.nodeType == 3) { + var val = node.nodeValue; + var pos = val.toLowerCase().indexOf(text); + if (pos >= 0 && !jQuery(node.parentNode).hasClass(className)) { + var span = document.createElement("span"); + span.className = className; + span.appendChild(document.createTextNode(val.substr(pos, text.length))); + node.parentNode.insertBefore(span, node.parentNode.insertBefore( + document.createTextNode(val.substr(pos + text.length)), + node.nextSibling)); + node.nodeValue = val.substr(0, pos); + } + } + else if (!jQuery(node).is("button, select, textarea")) { + jQuery.each(node.childNodes, function() { + highlight(this); + }); + } + } + return this.each(function() { + highlight(this); + }); +}; + +/* + * backward compatibility for jQuery.browser + * This will be supported until firefox bug is fixed. + */ +if (!jQuery.browser) { + jQuery.uaMatch = function(ua) { + ua = ua.toLowerCase(); + + var match = /(chrome)[ \/]([\w.]+)/.exec(ua) || + /(webkit)[ \/]([\w.]+)/.exec(ua) || + /(opera)(?:.*version|)[ \/]([\w.]+)/.exec(ua) || + /(msie) ([\w.]+)/.exec(ua) || + ua.indexOf("compatible") < 0 && /(mozilla)(?:.*? rv:([\w.]+)|)/.exec(ua) || + []; + + return { + browser: match[ 1 ] || "", + version: match[ 2 ] || "0" + }; + }; + jQuery.browser = {}; + jQuery.browser[jQuery.uaMatch(navigator.userAgent).browser] = true; +} + +/** + * Small JavaScript module for the documentation. + */ +var Documentation = { + + init : function() { + this.fixFirefoxAnchorBug(); + this.highlightSearchWords(); + this.initIndexTable(); + + }, + + /** + * i18n support + */ + TRANSLATIONS : {}, + PLURAL_EXPR : function(n) { return n == 1 ? 0 : 1; }, + LOCALE : 'unknown', + + // gettext and ngettext don't access this so that the functions + // can safely bound to a different name (_ = Documentation.gettext) + gettext : function(string) { + var translated = Documentation.TRANSLATIONS[string]; + if (typeof translated == 'undefined') + return string; + return (typeof translated == 'string') ? translated : translated[0]; + }, + + ngettext : function(singular, plural, n) { + var translated = Documentation.TRANSLATIONS[singular]; + if (typeof translated == 'undefined') + return (n == 1) ? singular : plural; + return translated[Documentation.PLURALEXPR(n)]; + }, + + addTranslations : function(catalog) { + for (var key in catalog.messages) + this.TRANSLATIONS[key] = catalog.messages[key]; + this.PLURAL_EXPR = new Function('n', 'return +(' + catalog.plural_expr + ')'); + this.LOCALE = catalog.locale; + }, + + /** + * add context elements like header anchor links + */ + addContextElements : function() { + $('div[id] > :header:first').each(function() { + $('\u00B6'). + attr('href', '#' + this.id). + attr('title', _('Permalink to this headline')). + appendTo(this); + }); + $('dt[id]').each(function() { + $('\u00B6'). + attr('href', '#' + this.id). + attr('title', _('Permalink to this definition')). + appendTo(this); + }); + }, + + /** + * workaround a firefox stupidity + * see: https://bugzilla.mozilla.org/show_bug.cgi?id=645075 + */ + fixFirefoxAnchorBug : function() { + if (document.location.hash) + window.setTimeout(function() { + document.location.href += ''; + }, 10); + }, + + /** + * highlight the search words provided in the url in the text + */ + highlightSearchWords : function() { + var params = $.getQueryParameters(); + var terms = (params.highlight) ? params.highlight[0].split(/\s+/) : []; + if (terms.length) { + var body = $('div.body'); + if (!body.length) { + body = $('body'); + } + window.setTimeout(function() { + $.each(terms, function() { + body.highlightText(this.toLowerCase(), 'highlighted'); + }); + }, 10); + $('

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b/_static/jquery-1.11.1.js new file mode 100644 index 0000000..d4b67f7 --- /dev/null +++ b/_static/jquery-1.11.1.js @@ -0,0 +1,10308 @@ +/*! + * jQuery JavaScript Library v1.11.1 + * http://jquery.com/ + * + * Includes Sizzle.js + * http://sizzlejs.com/ + * + * Copyright 2005, 2014 jQuery Foundation, Inc. and other contributors + * Released under the MIT license + * http://jquery.org/license + * + * Date: 2014-05-01T17:42Z + */ + +(function( global, factory ) { + + if ( typeof module === "object" && typeof module.exports === "object" ) { + // For CommonJS and CommonJS-like environments where a proper window is present, + // execute the factory and get jQuery + // For environments that do not inherently posses a window with a document + // (such as Node.js), expose a jQuery-making factory as module.exports + // This accentuates the need for the creation of a real window + // e.g. var jQuery = require("jquery")(window); + // See ticket #14549 for more info + module.exports = global.document ? + factory( global, true ) : + function( w ) { + if ( !w.document ) { + throw new Error( "jQuery requires a window with a document" ); + } + return factory( w ); + }; + } else { + factory( global ); + } + +// Pass this if window is not defined yet +}(typeof window !== "undefined" ? window : this, function( window, noGlobal ) { + +// Can't do this because several apps including ASP.NET trace +// the stack via arguments.caller.callee and Firefox dies if +// you try to trace through "use strict" call chains. (#13335) +// Support: Firefox 18+ +// + +var deletedIds = []; + +var slice = deletedIds.slice; + +var concat = deletedIds.concat; + +var push = deletedIds.push; + +var indexOf = deletedIds.indexOf; + +var class2type = {}; + +var toString = class2type.toString; + +var hasOwn = class2type.hasOwnProperty; + +var support = {}; + + + +var + version = "1.11.1", + + // Define a local copy of jQuery + jQuery = function( selector, context ) { + // The jQuery object is actually just the init constructor 'enhanced' + // Need init if jQuery is called (just allow error to be thrown if not included) + return new jQuery.fn.init( selector, context ); + }, + + // Support: Android<4.1, IE<9 + // Make sure we trim BOM and NBSP + rtrim = /^[\s\uFEFF\xA0]+|[\s\uFEFF\xA0]+$/g, + + // Matches dashed string for camelizing + rmsPrefix = /^-ms-/, + rdashAlpha = /-([\da-z])/gi, + + // Used by jQuery.camelCase as callback to replace() + fcamelCase = function( all, letter ) { + return letter.toUpperCase(); + }; + +jQuery.fn = jQuery.prototype = { + // The current version of jQuery being used + jquery: version, + + constructor: jQuery, + + // Start with an empty selector + selector: "", + + // The default length of a jQuery object is 0 + length: 0, + + toArray: function() { + return slice.call( this ); + }, + + // Get the Nth element in the matched element set OR + // Get the whole matched element set as a clean array + get: function( num ) { + return num != null ? + + // Return just the one element from the set + ( num < 0 ? this[ num + this.length ] : this[ num ] ) : + + // Return all the elements in a clean array + slice.call( this ); + }, + + // Take an array of elements and push it onto the stack + // (returning the new matched element set) + pushStack: function( elems ) { + + // Build a new jQuery matched element set + var ret = jQuery.merge( this.constructor(), elems ); + + // Add the old object onto the stack (as a reference) + ret.prevObject = this; + ret.context = this.context; + + // Return the newly-formed element set + return ret; + }, + + // Execute a callback for every element in the matched set. + // (You can seed the arguments with an array of args, but this is + // only used internally.) + each: function( callback, args ) { + return jQuery.each( this, callback, args ); + }, + + map: function( callback ) { + return this.pushStack( jQuery.map(this, function( elem, i ) { + return callback.call( elem, i, elem ); + })); + }, + + slice: function() { + return this.pushStack( slice.apply( this, arguments ) ); + }, + + first: function() { + return this.eq( 0 ); + }, + + last: function() { + return this.eq( -1 ); + }, + + eq: function( i ) { + var len = this.length, + j = +i + ( i < 0 ? len : 0 ); + return this.pushStack( j >= 0 && j < len ? [ this[j] ] : [] ); + }, + + end: function() { + return this.prevObject || this.constructor(null); + }, + + // For internal use only. + // Behaves like an Array's method, not like a jQuery method. + push: push, + sort: deletedIds.sort, + splice: deletedIds.splice +}; + +jQuery.extend = jQuery.fn.extend = function() { + var src, copyIsArray, copy, name, options, clone, + target = arguments[0] || {}, + i = 1, + length = arguments.length, + deep = false; + + // Handle a deep copy situation + if ( typeof target === "boolean" ) { + deep = target; + + // skip the boolean and the target + target = arguments[ i ] || {}; + i++; + } + + // Handle case when target is a string or something (possible in deep copy) + if ( typeof target !== "object" && !jQuery.isFunction(target) ) { + target = {}; + } + + // extend jQuery itself if only one argument is passed + if ( i === length ) { + target = this; + i--; + } + + for ( ; i < length; i++ ) { + // Only deal with non-null/undefined values + if ( (options = arguments[ i ]) != null ) { + // Extend the base object + for ( name in options ) { + src = target[ name ]; + copy = options[ name ]; + + // Prevent never-ending loop + if ( target === copy ) { + continue; + } + + // Recurse if we're merging plain objects or arrays + if ( deep && copy && ( jQuery.isPlainObject(copy) || (copyIsArray = jQuery.isArray(copy)) ) ) { + if ( copyIsArray ) { + copyIsArray = false; + clone = src && jQuery.isArray(src) ? src : []; + + } else { + clone = src && jQuery.isPlainObject(src) ? src : {}; + } + + // Never move original objects, clone them + target[ name ] = jQuery.extend( deep, clone, copy ); + + // Don't bring in undefined values + } else if ( copy !== undefined ) { + target[ name ] = copy; + } + } + } + } + + // Return the modified object + return target; +}; + +jQuery.extend({ + // Unique for each copy of jQuery on the page + expando: "jQuery" + ( version + Math.random() ).replace( /\D/g, "" ), + + // Assume jQuery is ready without the ready module + isReady: true, + + error: function( msg ) { + throw new Error( msg ); + }, + + noop: function() {}, + + // See test/unit/core.js for details concerning isFunction. + // Since version 1.3, DOM methods and functions like alert + // aren't supported. They return false on IE (#2968). + isFunction: function( obj ) { + return jQuery.type(obj) === "function"; + }, + + isArray: Array.isArray || function( obj ) { + return jQuery.type(obj) === "array"; + }, + + isWindow: function( obj ) { + /* jshint eqeqeq: false */ + return obj != null && obj == obj.window; + }, + + isNumeric: function( obj ) { + // parseFloat NaNs numeric-cast false positives (null|true|false|"") + // ...but misinterprets leading-number strings, particularly hex literals ("0x...") + // subtraction forces infinities to NaN + return !jQuery.isArray( obj ) && obj - parseFloat( obj ) >= 0; + }, + + isEmptyObject: function( obj ) { + var name; + for ( name in obj ) { + return false; + } + return true; + }, + + isPlainObject: function( obj ) { + var key; + + // Must be an Object. + // Because of IE, we also have to check the presence of the constructor property. + // Make sure that DOM nodes and window objects don't pass through, as well + if ( !obj || jQuery.type(obj) !== "object" || obj.nodeType || jQuery.isWindow( obj ) ) { + return false; + } + + try { + // Not own constructor property must be Object + if ( obj.constructor && + !hasOwn.call(obj, "constructor") && + !hasOwn.call(obj.constructor.prototype, "isPrototypeOf") ) { + return false; + } + } catch ( e ) { + // IE8,9 Will throw exceptions on certain host objects #9897 + return false; + } + + // Support: IE<9 + // Handle iteration over inherited properties before own properties. + if ( support.ownLast ) { + for ( key in obj ) { + return hasOwn.call( obj, key ); + } + } + + // Own properties are enumerated firstly, so to speed up, + // if last one is own, then all properties are own. + for ( key in obj ) {} + + return key === undefined || hasOwn.call( obj, key ); + }, + + type: function( obj ) { + if ( obj == null ) { + return obj + ""; + } + return typeof obj === "object" || typeof obj === "function" ? + class2type[ toString.call(obj) ] || "object" : + typeof obj; + }, + + // Evaluates a script in a global context + // Workarounds based on findings by Jim Driscoll + // http://weblogs.java.net/blog/driscoll/archive/2009/09/08/eval-javascript-global-context + globalEval: function( data ) { + if ( data && jQuery.trim( data ) ) { + // We use execScript on Internet Explorer + // We use an anonymous function so that context is window + // rather than jQuery in Firefox + ( window.execScript || function( data ) { + window[ "eval" ].call( window, data ); + } )( data ); + } + }, + + // Convert dashed to camelCase; used by the css and data modules + // Microsoft forgot to hump their vendor prefix (#9572) + camelCase: function( string ) { + return string.replace( rmsPrefix, "ms-" ).replace( rdashAlpha, fcamelCase ); + }, + + nodeName: function( elem, name ) { + return elem.nodeName && elem.nodeName.toLowerCase() === name.toLowerCase(); + }, + + // args is for internal usage only + each: function( obj, callback, args ) { + var value, + i = 0, + length = obj.length, + isArray = isArraylike( obj ); + + if ( args ) { + if ( isArray ) { + for ( ; i < length; i++ ) { + value = callback.apply( obj[ i ], args ); + + if ( value === false ) { + break; + } + } + } else { + for ( i in obj ) { + value = callback.apply( obj[ i ], args ); + + if ( value === false ) { + break; + } + } + } + + // A special, fast, case for the most common use of each + } else { + if ( isArray ) { + for ( ; i < length; i++ ) { + value = callback.call( obj[ i ], i, obj[ i ] ); + + if ( value === false ) { + break; + } + } + } else { + for ( i in obj ) { + value = callback.call( obj[ i ], i, obj[ i ] ); + + if ( value === false ) { + break; + } + } + } + } + + return obj; + }, + + // Support: Android<4.1, IE<9 + trim: function( text ) { + return text == null ? + "" : + ( text + "" ).replace( rtrim, "" ); + }, + + // results is for internal usage only + makeArray: function( arr, results ) { + var ret = results || []; + + if ( arr != null ) { + if ( isArraylike( Object(arr) ) ) { + jQuery.merge( ret, + typeof arr === "string" ? + [ arr ] : arr + ); + } else { + push.call( ret, arr ); + } + } + + return ret; + }, + + inArray: function( elem, arr, i ) { + var len; + + if ( arr ) { + if ( indexOf ) { + return indexOf.call( arr, elem, i ); + } + + len = arr.length; + i = i ? i < 0 ? Math.max( 0, len + i ) : i : 0; + + for ( ; i < len; i++ ) { + // Skip accessing in sparse arrays + if ( i in arr && arr[ i ] === elem ) { + return i; + } + } + } + + return -1; + }, + + merge: function( first, second ) { + var len = +second.length, + j = 0, + i = first.length; + + while ( j < len ) { + first[ i++ ] = second[ j++ ]; + } + + // Support: IE<9 + // Workaround casting of .length to NaN on otherwise arraylike objects (e.g., NodeLists) + if ( len !== len ) { + while ( second[j] !== undefined ) { + first[ i++ ] = second[ j++ ]; + } + } + + first.length = i; + + return first; + }, + + grep: function( elems, callback, invert ) { + var callbackInverse, + matches = [], + i = 0, + length = elems.length, + callbackExpect = !invert; + + // Go through the array, only saving the items + // that pass the validator function + for ( ; i < length; i++ ) { + callbackInverse = !callback( elems[ i ], i ); + if ( callbackInverse !== callbackExpect ) { + matches.push( elems[ i ] ); + } + } + + return matches; + }, + + // arg is for internal usage only + map: function( elems, callback, arg ) { + var value, + i = 0, + length = elems.length, + isArray = isArraylike( elems ), + ret = []; + + // Go through the array, translating each of the items to their new values + if ( isArray ) { + for ( ; i < length; i++ ) { + value = callback( elems[ i ], i, arg ); + + if ( value != null ) { + ret.push( value ); + } + } + + // Go through every key on the object, + } else { + for ( i in elems ) { + value = callback( elems[ i ], i, arg ); + + if ( value != null ) { + ret.push( value ); + } + } + } + + // Flatten any nested arrays + return concat.apply( [], ret ); + }, + + // A global GUID counter for objects + guid: 1, + + // Bind a function to a context, optionally partially applying any + // arguments. + proxy: function( fn, context ) { + var args, proxy, tmp; + + if ( typeof context === "string" ) { + tmp = fn[ context ]; + context = fn; + fn = tmp; + } + + // Quick check to determine if target is callable, in the spec + // this throws a TypeError, but we will just return undefined. + if ( !jQuery.isFunction( fn ) ) { + return undefined; + } + + // Simulated bind + args = slice.call( arguments, 2 ); + proxy = function() { + return fn.apply( context || this, args.concat( slice.call( arguments ) ) ); + }; + + // Set the guid of unique handler to the same of original handler, so it can be removed + proxy.guid = fn.guid = fn.guid || jQuery.guid++; + + return proxy; + }, + + now: function() { + return +( new Date() ); + }, + + // jQuery.support is not used in Core but other projects attach their + // properties to it so it needs to exist. + support: support +}); + +// Populate the class2type map +jQuery.each("Boolean Number String Function Array Date RegExp Object Error".split(" "), function(i, name) { + class2type[ "[object " + name + "]" ] = name.toLowerCase(); +}); + +function isArraylike( obj ) { + var length = obj.length, + type = jQuery.type( obj ); + + if ( type === "function" || jQuery.isWindow( obj ) ) { + return false; + } + + if ( obj.nodeType === 1 && length ) { + return true; + } + + return type === "array" || length === 0 || + typeof length === "number" && length > 0 && ( length - 1 ) in obj; +} +var Sizzle = +/*! + * Sizzle CSS Selector Engine v1.10.19 + * http://sizzlejs.com/ + * + * Copyright 2013 jQuery Foundation, Inc. and other contributors + * Released under the MIT license + * http://jquery.org/license + * + * Date: 2014-04-18 + */ +(function( window ) { + +var i, + support, + Expr, + getText, + isXML, + tokenize, + compile, + select, + outermostContext, + sortInput, + hasDuplicate, + + // Local document vars + setDocument, + document, + docElem, + documentIsHTML, + rbuggyQSA, + rbuggyMatches, + matches, + contains, + + // Instance-specific data + expando = "sizzle" + -(new Date()), + preferredDoc = window.document, + dirruns = 0, + done = 0, + classCache = createCache(), + tokenCache = createCache(), + compilerCache = createCache(), + sortOrder = function( a, b ) { + if ( a === b ) { + hasDuplicate = true; + } + return 0; + }, + + // General-purpose constants + strundefined = typeof undefined, + MAX_NEGATIVE = 1 << 31, + + // Instance methods + hasOwn = ({}).hasOwnProperty, + arr = [], + pop = arr.pop, + push_native = arr.push, + push = arr.push, + slice = arr.slice, + // Use a stripped-down indexOf if we can't use a native one + indexOf = arr.indexOf || function( elem ) { + var i = 0, + len = this.length; + for ( ; i < len; i++ ) { + if ( this[i] === elem ) { + return i; + } + } + return -1; + }, + + booleans = "checked|selected|async|autofocus|autoplay|controls|defer|disabled|hidden|ismap|loop|multiple|open|readonly|required|scoped", + + // Regular expressions + + // Whitespace characters http://www.w3.org/TR/css3-selectors/#whitespace + whitespace = "[\\x20\\t\\r\\n\\f]", + // http://www.w3.org/TR/css3-syntax/#characters + characterEncoding = "(?:\\\\.|[\\w-]|[^\\x00-\\xa0])+", + + // Loosely modeled on CSS identifier characters + // An unquoted value should be a CSS identifier http://www.w3.org/TR/css3-selectors/#attribute-selectors + // Proper syntax: http://www.w3.org/TR/CSS21/syndata.html#value-def-identifier + identifier = characterEncoding.replace( "w", "w#" ), + + // Attribute selectors: http://www.w3.org/TR/selectors/#attribute-selectors + attributes = "\\[" + whitespace + "*(" + characterEncoding + ")(?:" + whitespace + + // Operator (capture 2) + "*([*^$|!~]?=)" + whitespace + + // "Attribute values must be CSS identifiers [capture 5] or strings [capture 3 or capture 4]" + "*(?:'((?:\\\\.|[^\\\\'])*)'|\"((?:\\\\.|[^\\\\\"])*)\"|(" + identifier + "))|)" + whitespace + + "*\\]", + + pseudos = ":(" + characterEncoding + ")(?:\\((" + + // To reduce the number of selectors needing tokenize in the preFilter, prefer arguments: + // 1. quoted (capture 3; capture 4 or capture 5) + "('((?:\\\\.|[^\\\\'])*)'|\"((?:\\\\.|[^\\\\\"])*)\")|" + + // 2. simple (capture 6) + "((?:\\\\.|[^\\\\()[\\]]|" + attributes + ")*)|" + + // 3. anything else (capture 2) + ".*" + + ")\\)|)", + + // Leading and non-escaped trailing whitespace, capturing some non-whitespace characters preceding the latter + rtrim = new RegExp( "^" + whitespace + "+|((?:^|[^\\\\])(?:\\\\.)*)" + whitespace + "+$", "g" ), + + rcomma = new RegExp( "^" + whitespace + "*," + whitespace + "*" ), + rcombinators = new RegExp( "^" + whitespace + "*([>+~]|" + whitespace + ")" + whitespace + "*" ), + + rattributeQuotes = new RegExp( "=" + whitespace + "*([^\\]'\"]*?)" + whitespace + "*\\]", "g" ), + + rpseudo = new RegExp( pseudos ), + ridentifier = new RegExp( "^" + identifier + "$" ), + + matchExpr = { + "ID": new RegExp( "^#(" + characterEncoding + ")" ), + "CLASS": new RegExp( "^\\.(" + characterEncoding + ")" ), + "TAG": new RegExp( "^(" + characterEncoding.replace( "w", "w*" ) + ")" ), + "ATTR": new RegExp( "^" + attributes ), + "PSEUDO": new RegExp( "^" + pseudos ), + "CHILD": new RegExp( "^:(only|first|last|nth|nth-last)-(child|of-type)(?:\\(" + whitespace + + "*(even|odd|(([+-]|)(\\d*)n|)" + whitespace + "*(?:([+-]|)" + whitespace + + "*(\\d+)|))" + whitespace + "*\\)|)", "i" ), + "bool": new RegExp( "^(?:" + booleans + ")$", "i" ), + // For use in libraries implementing .is() + // We use this for POS matching in `select` + "needsContext": new RegExp( "^" + whitespace + "*[>+~]|:(even|odd|eq|gt|lt|nth|first|last)(?:\\(" + + whitespace + "*((?:-\\d)?\\d*)" + whitespace + "*\\)|)(?=[^-]|$)", "i" ) + }, + + rinputs = /^(?:input|select|textarea|button)$/i, + rheader = /^h\d$/i, + + rnative = /^[^{]+\{\s*\[native \w/, + + // Easily-parseable/retrievable ID or TAG or CLASS selectors + rquickExpr = /^(?:#([\w-]+)|(\w+)|\.([\w-]+))$/, + + rsibling = /[+~]/, + rescape = /'|\\/g, + + // CSS escapes http://www.w3.org/TR/CSS21/syndata.html#escaped-characters + runescape = new RegExp( "\\\\([\\da-f]{1,6}" + whitespace + "?|(" + whitespace + ")|.)", "ig" ), + funescape = function( _, escaped, escapedWhitespace ) { + var high = "0x" + escaped - 0x10000; + // NaN means non-codepoint + // Support: Firefox<24 + // Workaround erroneous numeric interpretation of +"0x" + return high !== high || escapedWhitespace ? + escaped : + high < 0 ? + // BMP codepoint + String.fromCharCode( high + 0x10000 ) : + // Supplemental Plane codepoint (surrogate pair) + String.fromCharCode( high >> 10 | 0xD800, high & 0x3FF | 0xDC00 ); + }; + +// Optimize for push.apply( _, NodeList ) +try { + push.apply( + (arr = slice.call( preferredDoc.childNodes )), + preferredDoc.childNodes + ); + // Support: Android<4.0 + // Detect silently failing push.apply + arr[ preferredDoc.childNodes.length ].nodeType; +} catch ( e ) { + push = { apply: arr.length ? + + // Leverage slice if possible + function( target, els ) { + push_native.apply( target, slice.call(els) ); + } : + + // Support: IE<9 + // Otherwise append directly + function( target, els ) { + var j = target.length, + i = 0; + // Can't trust NodeList.length + while ( (target[j++] = els[i++]) ) {} + target.length = j - 1; + } + }; +} + +function Sizzle( selector, context, results, seed ) { + var match, elem, m, nodeType, + // QSA vars + i, groups, old, nid, newContext, newSelector; + + if ( ( context ? context.ownerDocument || context : preferredDoc ) !== document ) { + setDocument( context ); + } + + context = context || document; + results = results || []; + + if ( !selector || typeof selector !== "string" ) { + return results; + } + + if ( (nodeType = context.nodeType) !== 1 && nodeType !== 9 ) { + return []; + } + + if ( documentIsHTML && !seed ) { + + // Shortcuts + if ( (match = rquickExpr.exec( selector )) ) { + // Speed-up: Sizzle("#ID") + if ( (m = match[1]) ) { + if ( nodeType === 9 ) { + elem = context.getElementById( m ); + // Check parentNode to catch when Blackberry 4.6 returns + // nodes that are no longer in the document (jQuery #6963) + if ( elem && elem.parentNode ) { + // Handle the case where IE, Opera, and Webkit return items + // by name instead of ID + if ( elem.id === m ) { + results.push( elem ); + return results; + } + } else { + return results; + } + } else { + // Context is not a document + if ( context.ownerDocument && (elem = context.ownerDocument.getElementById( m )) && + contains( context, elem ) && elem.id === m ) { + results.push( elem ); + return results; + } + } + + // Speed-up: Sizzle("TAG") + } else if ( match[2] ) { + push.apply( results, context.getElementsByTagName( selector ) ); + return results; + + // Speed-up: Sizzle(".CLASS") + } else if ( (m = match[3]) && support.getElementsByClassName && context.getElementsByClassName ) { + push.apply( results, context.getElementsByClassName( m ) ); + return results; + } + } + + // QSA path + if ( support.qsa && (!rbuggyQSA || !rbuggyQSA.test( selector )) ) { + nid = old = expando; + newContext = context; + newSelector = nodeType === 9 && selector; + + // qSA works strangely on Element-rooted queries + // We can work around this by specifying an extra ID on the root + // and working up from there (Thanks to Andrew Dupont for the technique) + // IE 8 doesn't work on object elements + if ( nodeType === 1 && context.nodeName.toLowerCase() !== "object" ) { + groups = tokenize( selector ); + + if ( (old = context.getAttribute("id")) ) { + nid = old.replace( rescape, "\\$&" ); + } else { + context.setAttribute( "id", nid ); + } + nid = "[id='" + nid + "'] "; + + i = groups.length; + while ( i-- ) { + groups[i] = nid + toSelector( groups[i] ); + } + newContext = rsibling.test( selector ) && testContext( context.parentNode ) || context; + newSelector = groups.join(","); + } + + if ( newSelector ) { + try { + push.apply( results, + newContext.querySelectorAll( newSelector ) + ); + return results; + } catch(qsaError) { + } finally { + if ( !old ) { + context.removeAttribute("id"); + } + } + } + } + } + + // All others + return select( selector.replace( rtrim, "$1" ), context, results, seed ); +} + +/** + * Create key-value caches of limited size + * @returns {Function(string, Object)} Returns the Object data after storing it on itself with + * property name the (space-suffixed) string and (if the cache is larger than Expr.cacheLength) + * deleting the oldest entry + */ +function createCache() { + var keys = []; + + function cache( key, value ) { + // Use (key + " ") to avoid collision with native prototype properties (see Issue #157) + if ( keys.push( key + " " ) > Expr.cacheLength ) { + // Only keep the most recent entries + delete cache[ keys.shift() ]; + } + return (cache[ key + " " ] = value); + } + return cache; +} + +/** + * Mark a function for special use by Sizzle + * @param {Function} fn The function to mark + */ +function markFunction( fn ) { + fn[ expando ] = true; + return fn; +} + +/** + * Support testing using an element + * @param {Function} fn Passed the created div and expects a boolean result + */ +function assert( fn ) { + var div = document.createElement("div"); + + try { + return !!fn( div ); + } catch (e) { + return false; + } finally { + // Remove from its parent by default + if ( div.parentNode ) { + div.parentNode.removeChild( div ); + } + // release memory in IE + div = null; + } +} + +/** + * Adds the same handler for all of the specified attrs + * @param {String} attrs Pipe-separated list of attributes + * @param {Function} handler The method that will be applied + */ +function addHandle( attrs, handler ) { + var arr = attrs.split("|"), + i = attrs.length; + + while ( i-- ) { + Expr.attrHandle[ arr[i] ] = handler; + } +} + +/** + * Checks document order of two siblings + * @param {Element} a + * @param {Element} b + * @returns {Number} Returns less than 0 if a precedes b, greater than 0 if a follows b + */ +function siblingCheck( a, b ) { + var cur = b && a, + diff = cur && a.nodeType === 1 && b.nodeType === 1 && + ( ~b.sourceIndex || MAX_NEGATIVE ) - + ( ~a.sourceIndex || MAX_NEGATIVE ); + + // Use IE sourceIndex if available on both nodes + if ( diff ) { + return diff; + } + + // Check if b follows a + if ( cur ) { + while ( (cur = cur.nextSibling) ) { + if ( cur === b ) { + return -1; + } + } + } + + return a ? 1 : -1; +} + +/** + * Returns a function to use in pseudos for input types + * @param {String} type + */ +function createInputPseudo( type ) { + return function( elem ) { + var name = elem.nodeName.toLowerCase(); + return name === "input" && elem.type === type; + }; +} + +/** + * Returns a function to use in pseudos for buttons + * @param {String} type + */ +function createButtonPseudo( type ) { + return function( elem ) { + var name = elem.nodeName.toLowerCase(); + return (name === "input" || name === "button") && elem.type === type; + }; +} + +/** + * Returns a function to use in pseudos for positionals + * @param {Function} fn + */ +function createPositionalPseudo( fn ) { + return markFunction(function( argument ) { + argument = +argument; + return markFunction(function( seed, matches ) { + var j, + matchIndexes = fn( [], seed.length, argument ), + i = matchIndexes.length; + + // Match elements found at the specified indexes + while ( i-- ) { + if ( seed[ (j = matchIndexes[i]) ] ) { + seed[j] = !(matches[j] = seed[j]); + } + } + }); + }); +} + +/** + * Checks a node for validity as a Sizzle context + * @param {Element|Object=} context + * @returns {Element|Object|Boolean} The input node if acceptable, otherwise a falsy value + */ +function testContext( context ) { + return context && typeof context.getElementsByTagName !== strundefined && context; +} + +// Expose support vars for convenience +support = Sizzle.support = {}; + +/** + * Detects XML nodes + * @param {Element|Object} elem An element or a document + * @returns {Boolean} True iff elem is a non-HTML XML node + */ +isXML = Sizzle.isXML = function( elem ) { + // documentElement is verified for cases where it doesn't yet exist + // (such as loading iframes in IE - #4833) + var documentElement = elem && (elem.ownerDocument || elem).documentElement; + return documentElement ? documentElement.nodeName !== "HTML" : false; +}; + +/** + * Sets document-related variables once based on the current document + * @param {Element|Object} [doc] An element or document object to use to set the document + * @returns {Object} Returns the current document + */ +setDocument = Sizzle.setDocument = function( node ) { + var hasCompare, + doc = node ? node.ownerDocument || node : preferredDoc, + parent = doc.defaultView; + + // If no document and documentElement is available, return + if ( doc === document || doc.nodeType !== 9 || !doc.documentElement ) { + return document; + } + + // Set our document + document = doc; + docElem = doc.documentElement; + + // Support tests + documentIsHTML = !isXML( doc ); + + // Support: IE>8 + // If iframe document is assigned to "document" variable and if iframe has been reloaded, + // IE will throw "permission denied" error when accessing "document" variable, see jQuery #13936 + // IE6-8 do not support the defaultView property so parent will be undefined + if ( parent && parent !== parent.top ) { + // IE11 does not have attachEvent, so all must suffer + if ( parent.addEventListener ) { + parent.addEventListener( "unload", function() { + setDocument(); + }, false ); + } else if ( parent.attachEvent ) { + parent.attachEvent( "onunload", function() { + setDocument(); + }); + } + } + + /* Attributes + ---------------------------------------------------------------------- */ + + // Support: IE<8 + // Verify that getAttribute really returns attributes and not properties (excepting IE8 booleans) + support.attributes = assert(function( div ) { + div.className = "i"; + return !div.getAttribute("className"); + }); + + /* getElement(s)By* + ---------------------------------------------------------------------- */ + + // Check if getElementsByTagName("*") returns only elements + support.getElementsByTagName = assert(function( div ) { + div.appendChild( doc.createComment("") ); + return !div.getElementsByTagName("*").length; + }); + + // Check if getElementsByClassName can be trusted + support.getElementsByClassName = rnative.test( doc.getElementsByClassName ) && assert(function( div ) { + div.innerHTML = "

"; + + // Support: Safari<4 + // Catch class over-caching + div.firstChild.className = "i"; + // Support: Opera<10 + // Catch gEBCN failure to find non-leading classes + return div.getElementsByClassName("i").length === 2; + }); + + // Support: IE<10 + // Check if getElementById returns elements by name + // The broken getElementById methods don't pick up programatically-set names, + // so use a roundabout getElementsByName test + support.getById = assert(function( div ) { + docElem.appendChild( div ).id = expando; + return !doc.getElementsByName || !doc.getElementsByName( expando ).length; + }); + + // ID find and filter + if ( support.getById ) { + Expr.find["ID"] = function( id, context ) { + if ( typeof context.getElementById !== strundefined && documentIsHTML ) { + var m = context.getElementById( id ); + // Check parentNode to catch when Blackberry 4.6 returns + // nodes that are no longer in the document #6963 + return m && m.parentNode ? [ m ] : []; + } + }; + Expr.filter["ID"] = function( id ) { + var attrId = id.replace( runescape, funescape ); + return function( elem ) { + return elem.getAttribute("id") === attrId; + }; + }; + } else { + // Support: IE6/7 + // getElementById is not reliable as a find shortcut + delete Expr.find["ID"]; + + Expr.filter["ID"] = function( id ) { + var attrId = id.replace( runescape, funescape ); + return function( elem ) { + var node = typeof elem.getAttributeNode !== strundefined && elem.getAttributeNode("id"); + return node && node.value === attrId; + }; + }; + } + + // Tag + Expr.find["TAG"] = support.getElementsByTagName ? + function( tag, context ) { + if ( typeof context.getElementsByTagName !== strundefined ) { + return context.getElementsByTagName( tag ); + } + } : + function( tag, context ) { + var elem, + tmp = [], + i = 0, + results = context.getElementsByTagName( tag ); + + // Filter out possible comments + if ( tag === "*" ) { + while ( (elem = results[i++]) ) { + if ( elem.nodeType === 1 ) { + tmp.push( elem ); + } + } + + return tmp; + } + return results; + }; + + // Class + Expr.find["CLASS"] = support.getElementsByClassName && function( className, context ) { + if ( typeof context.getElementsByClassName !== strundefined && documentIsHTML ) { + return context.getElementsByClassName( className ); + } + }; + + /* QSA/matchesSelector + ---------------------------------------------------------------------- */ + + // QSA and matchesSelector support + + // matchesSelector(:active) reports false when true (IE9/Opera 11.5) + rbuggyMatches = []; + + // qSa(:focus) reports false when true (Chrome 21) + // We allow this because of a bug in IE8/9 that throws an error + // whenever `document.activeElement` is accessed on an iframe + // So, we allow :focus to pass through QSA all the time to avoid the IE error + // See http://bugs.jquery.com/ticket/13378 + rbuggyQSA = []; + + if ( (support.qsa = rnative.test( doc.querySelectorAll )) ) { + // Build QSA regex + // Regex strategy adopted from Diego Perini + assert(function( div ) { + // Select is set to empty string on purpose + // This is to test IE's treatment of not explicitly + // setting a boolean content attribute, + // since its presence should be enough + // http://bugs.jquery.com/ticket/12359 + div.innerHTML = ""; + + // Support: IE8, Opera 11-12.16 + // Nothing should be selected when empty strings follow ^= or $= or *= + // The test attribute must be unknown in Opera but "safe" for WinRT + // http://msdn.microsoft.com/en-us/library/ie/hh465388.aspx#attribute_section + if ( div.querySelectorAll("[msallowclip^='']").length ) { + rbuggyQSA.push( "[*^$]=" + whitespace + "*(?:''|\"\")" ); + } + + // Support: IE8 + // Boolean attributes and "value" are not treated correctly + if ( !div.querySelectorAll("[selected]").length ) { + rbuggyQSA.push( "\\[" + whitespace + "*(?:value|" + booleans + ")" ); + } + + // Webkit/Opera - :checked should return selected option elements + // http://www.w3.org/TR/2011/REC-css3-selectors-20110929/#checked + // IE8 throws error here and will not see later tests + if ( !div.querySelectorAll(":checked").length ) { + rbuggyQSA.push(":checked"); + } + }); + + assert(function( div ) { + // Support: Windows 8 Native Apps + // The type and name attributes are restricted during .innerHTML assignment + var input = doc.createElement("input"); + input.setAttribute( "type", "hidden" ); + div.appendChild( input ).setAttribute( "name", "D" ); + + // Support: IE8 + // Enforce case-sensitivity of name attribute + if ( div.querySelectorAll("[name=d]").length ) { + rbuggyQSA.push( "name" + whitespace + "*[*^$|!~]?=" ); + } + + // FF 3.5 - :enabled/:disabled and hidden elements (hidden elements are still enabled) + // IE8 throws error here and will not see later tests + if ( !div.querySelectorAll(":enabled").length ) { + rbuggyQSA.push( ":enabled", ":disabled" ); + } + + // Opera 10-11 does not throw on post-comma invalid pseudos + div.querySelectorAll("*,:x"); + rbuggyQSA.push(",.*:"); + }); + } + + if ( (support.matchesSelector = rnative.test( (matches = docElem.matches || + docElem.webkitMatchesSelector || + docElem.mozMatchesSelector || + docElem.oMatchesSelector || + docElem.msMatchesSelector) )) ) { + + assert(function( div ) { + // Check to see if it's possible to do matchesSelector + // on a disconnected node (IE 9) + support.disconnectedMatch = matches.call( div, "div" ); + + // This should fail with an exception + // Gecko does not error, returns false instead + matches.call( div, "[s!='']:x" ); + rbuggyMatches.push( "!=", pseudos ); + }); + } + + rbuggyQSA = rbuggyQSA.length && new RegExp( rbuggyQSA.join("|") ); + rbuggyMatches = rbuggyMatches.length && new RegExp( rbuggyMatches.join("|") ); + + /* Contains + ---------------------------------------------------------------------- */ + hasCompare = rnative.test( docElem.compareDocumentPosition ); + + // Element contains another + // Purposefully does not implement inclusive descendent + // As in, an element does not contain itself + contains = hasCompare || rnative.test( docElem.contains ) ? + function( a, b ) { + var adown = a.nodeType === 9 ? a.documentElement : a, + bup = b && b.parentNode; + return a === bup || !!( bup && bup.nodeType === 1 && ( + adown.contains ? + adown.contains( bup ) : + a.compareDocumentPosition && a.compareDocumentPosition( bup ) & 16 + )); + } : + function( a, b ) { + if ( b ) { + while ( (b = b.parentNode) ) { + if ( b === a ) { + return true; + } + } + } + return false; + }; + + /* Sorting + ---------------------------------------------------------------------- */ + + // Document order sorting + sortOrder = hasCompare ? + function( a, b ) { + + // Flag for duplicate removal + if ( a === b ) { + hasDuplicate = true; + return 0; + } + + // Sort on method existence if only one input has compareDocumentPosition + var compare = !a.compareDocumentPosition - !b.compareDocumentPosition; + if ( compare ) { + return compare; + } + + // Calculate position if both inputs belong to the same document + compare = ( a.ownerDocument || a ) === ( b.ownerDocument || b ) ? + a.compareDocumentPosition( b ) : + + // Otherwise we know they are disconnected + 1; + + // Disconnected nodes + if ( compare & 1 || + (!support.sortDetached && b.compareDocumentPosition( a ) === compare) ) { + + // Choose the first element that is related to our preferred document + if ( a === doc || a.ownerDocument === preferredDoc && contains(preferredDoc, a) ) { + return -1; + } + if ( b === doc || b.ownerDocument === preferredDoc && contains(preferredDoc, b) ) { + return 1; + } + + // Maintain original order + return sortInput ? + ( indexOf.call( sortInput, a ) - indexOf.call( sortInput, b ) ) : + 0; + } + + return compare & 4 ? -1 : 1; + } : + function( a, b ) { + // Exit early if the nodes are identical + if ( a === b ) { + hasDuplicate = true; + return 0; + } + + var cur, + i = 0, + aup = a.parentNode, + bup = b.parentNode, + ap = [ a ], + bp = [ b ]; + + // Parentless nodes are either documents or disconnected + if ( !aup || !bup ) { + return a === doc ? -1 : + b === doc ? 1 : + aup ? -1 : + bup ? 1 : + sortInput ? + ( indexOf.call( sortInput, a ) - indexOf.call( sortInput, b ) ) : + 0; + + // If the nodes are siblings, we can do a quick check + } else if ( aup === bup ) { + return siblingCheck( a, b ); + } + + // Otherwise we need full lists of their ancestors for comparison + cur = a; + while ( (cur = cur.parentNode) ) { + ap.unshift( cur ); + } + cur = b; + while ( (cur = cur.parentNode) ) { + bp.unshift( cur ); + } + + // Walk down the tree looking for a discrepancy + while ( ap[i] === bp[i] ) { + i++; + } + + return i ? + // Do a sibling check if the nodes have a common ancestor + siblingCheck( ap[i], bp[i] ) : + + // Otherwise nodes in our document sort first + ap[i] === preferredDoc ? -1 : + bp[i] === preferredDoc ? 1 : + 0; + }; + + return doc; +}; + +Sizzle.matches = function( expr, elements ) { + return Sizzle( expr, null, null, elements ); +}; + +Sizzle.matchesSelector = function( elem, expr ) { + // Set document vars if needed + if ( ( elem.ownerDocument || elem ) !== document ) { + setDocument( elem ); + } + + // Make sure that attribute selectors are quoted + expr = expr.replace( rattributeQuotes, "='$1']" ); + + if ( support.matchesSelector && documentIsHTML && + ( !rbuggyMatches || !rbuggyMatches.test( expr ) ) && + ( !rbuggyQSA || !rbuggyQSA.test( expr ) ) ) { + + try { + var ret = matches.call( elem, expr ); + + // IE 9's matchesSelector returns false on disconnected nodes + if ( ret || support.disconnectedMatch || + // As well, disconnected nodes are said to be in a document + // fragment in IE 9 + elem.document && elem.document.nodeType !== 11 ) { + return ret; + } + } catch(e) {} + } + + return Sizzle( expr, document, null, [ elem ] ).length > 0; +}; + +Sizzle.contains = function( context, elem ) { + // Set document vars if needed + if ( ( context.ownerDocument || context ) !== document ) { + setDocument( context ); + } + return contains( context, elem ); +}; + +Sizzle.attr = function( elem, name ) { + // Set document vars if needed + if ( ( elem.ownerDocument || elem ) !== document ) { + setDocument( elem ); + } + + var fn = Expr.attrHandle[ name.toLowerCase() ], + // Don't get fooled by Object.prototype properties (jQuery #13807) + val = fn && hasOwn.call( Expr.attrHandle, name.toLowerCase() ) ? + fn( elem, name, !documentIsHTML ) : + undefined; + + return val !== undefined ? + val : + support.attributes || !documentIsHTML ? + elem.getAttribute( name ) : + (val = elem.getAttributeNode(name)) && val.specified ? + val.value : + null; +}; + +Sizzle.error = function( msg ) { + throw new Error( "Syntax error, unrecognized expression: " + msg ); +}; + +/** + * Document sorting and removing duplicates + * @param {ArrayLike} results + */ +Sizzle.uniqueSort = function( results ) { + var elem, + duplicates = [], + j = 0, + i = 0; + + // Unless we *know* we can detect duplicates, assume their presence + hasDuplicate = !support.detectDuplicates; + sortInput = !support.sortStable && results.slice( 0 ); + results.sort( sortOrder ); + + if ( hasDuplicate ) { + while ( (elem = results[i++]) ) { + if ( elem === results[ i ] ) { + j = duplicates.push( i ); + } + } + while ( j-- ) { + results.splice( duplicates[ j ], 1 ); + } + } + + // Clear input after sorting to release objects + // See https://github.com/jquery/sizzle/pull/225 + sortInput = null; + + return results; +}; + +/** + * Utility function for retrieving the text value of an array of DOM nodes + * @param {Array|Element} elem + */ +getText = Sizzle.getText = function( elem ) { + var node, + ret = "", + i = 0, + nodeType = elem.nodeType; + + if ( !nodeType ) { + // If no nodeType, this is expected to be an array + while ( (node = elem[i++]) ) { + // Do not traverse comment nodes + ret += getText( node ); + } + } else if ( nodeType === 1 || nodeType === 9 || nodeType === 11 ) { + // Use textContent for elements + // innerText usage removed for consistency of new lines (jQuery #11153) + if ( typeof elem.textContent === "string" ) { + return elem.textContent; + } else { + // Traverse its children + for ( elem = elem.firstChild; elem; elem = elem.nextSibling ) { + ret += getText( elem ); + } + } + } else if ( nodeType === 3 || nodeType === 4 ) { + return elem.nodeValue; + } + // Do not include comment or processing instruction nodes + + return ret; +}; + +Expr = Sizzle.selectors = { + + // Can be adjusted by the user + cacheLength: 50, + + createPseudo: markFunction, + + match: matchExpr, + + attrHandle: {}, + + find: {}, + + relative: { + ">": { dir: "parentNode", first: true }, + " ": { dir: "parentNode" }, + "+": { dir: "previousSibling", first: true }, + "~": { dir: "previousSibling" } + }, + + preFilter: { + "ATTR": function( match ) { + match[1] = match[1].replace( runescape, funescape ); + + // Move the given value to match[3] whether quoted or unquoted + match[3] = ( match[3] || match[4] || match[5] || "" ).replace( runescape, funescape ); + + if ( match[2] === "~=" ) { + match[3] = " " + match[3] + " "; + } + + return match.slice( 0, 4 ); + }, + + "CHILD": function( match ) { + /* matches from matchExpr["CHILD"] + 1 type (only|nth|...) + 2 what (child|of-type) + 3 argument (even|odd|\d*|\d*n([+-]\d+)?|...) + 4 xn-component of xn+y argument ([+-]?\d*n|) + 5 sign of xn-component + 6 x of xn-component + 7 sign of y-component + 8 y of y-component + */ + match[1] = match[1].toLowerCase(); + + if ( match[1].slice( 0, 3 ) === "nth" ) { + // nth-* requires argument + if ( !match[3] ) { + Sizzle.error( match[0] ); + } + + // numeric x and y parameters for Expr.filter.CHILD + // remember that false/true cast respectively to 0/1 + match[4] = +( match[4] ? match[5] + (match[6] || 1) : 2 * ( match[3] === "even" || match[3] === "odd" ) ); + match[5] = +( ( match[7] + match[8] ) || match[3] === "odd" ); + + // other types prohibit arguments + } else if ( match[3] ) { + Sizzle.error( match[0] ); + } + + return match; + }, + + "PSEUDO": function( match ) { + var excess, + unquoted = !match[6] && match[2]; + + if ( matchExpr["CHILD"].test( match[0] ) ) { + return null; + } + + // Accept quoted arguments as-is + if ( match[3] ) { + match[2] = match[4] || match[5] || ""; + + // Strip excess characters from unquoted arguments + } else if ( unquoted && rpseudo.test( unquoted ) && + // Get excess from tokenize (recursively) + (excess = tokenize( unquoted, true )) && + // advance to the next closing parenthesis + (excess = unquoted.indexOf( ")", unquoted.length - excess ) - unquoted.length) ) { + + // excess is a negative index + match[0] = match[0].slice( 0, excess ); + match[2] = unquoted.slice( 0, excess ); + } + + // Return only captures needed by the pseudo filter method (type and argument) + return match.slice( 0, 3 ); + } + }, + + filter: { + + "TAG": function( nodeNameSelector ) { + var nodeName = nodeNameSelector.replace( runescape, funescape ).toLowerCase(); + return nodeNameSelector === "*" ? + function() { return true; } : + function( elem ) { + return elem.nodeName && elem.nodeName.toLowerCase() === nodeName; + }; + }, + + "CLASS": function( className ) { + var pattern = classCache[ className + " " ]; + + return pattern || + (pattern = new RegExp( "(^|" + whitespace + ")" + className + "(" + whitespace + "|$)" )) && + classCache( className, function( elem ) { + return pattern.test( typeof elem.className === "string" && elem.className || typeof elem.getAttribute !== strundefined && elem.getAttribute("class") || "" ); + }); + }, + + "ATTR": function( name, operator, check ) { + return function( elem ) { + var result = Sizzle.attr( elem, name ); + + if ( result == null ) { + return operator === "!="; + } + if ( !operator ) { + return true; + } + + result += ""; + + return operator === "=" ? result === check : + operator === "!=" ? result !== check : + operator === "^=" ? check && result.indexOf( check ) === 0 : + operator === "*=" ? check && result.indexOf( check ) > -1 : + operator === "$=" ? check && result.slice( -check.length ) === check : + operator === "~=" ? ( " " + result + " " ).indexOf( check ) > -1 : + operator === "|=" ? result === check || result.slice( 0, check.length + 1 ) === check + "-" : + false; + }; + }, + + "CHILD": function( type, what, argument, first, last ) { + var simple = type.slice( 0, 3 ) !== "nth", + forward = type.slice( -4 ) !== "last", + ofType = what === "of-type"; + + return first === 1 && last === 0 ? + + // Shortcut for :nth-*(n) + function( elem ) { + return !!elem.parentNode; + } : + + function( elem, context, xml ) { + var cache, outerCache, node, diff, nodeIndex, start, + dir = simple !== forward ? "nextSibling" : "previousSibling", + parent = elem.parentNode, + name = ofType && elem.nodeName.toLowerCase(), + useCache = !xml && !ofType; + + if ( parent ) { + + // :(first|last|only)-(child|of-type) + if ( simple ) { + while ( dir ) { + node = elem; + while ( (node = node[ dir ]) ) { + if ( ofType ? node.nodeName.toLowerCase() === name : node.nodeType === 1 ) { + return false; + } + } + // Reverse direction for :only-* (if we haven't yet done so) + start = dir = type === "only" && !start && "nextSibling"; + } + return true; + } + + start = [ forward ? parent.firstChild : parent.lastChild ]; + + // non-xml :nth-child(...) stores cache data on `parent` + if ( forward && useCache ) { + // Seek `elem` from a previously-cached index + outerCache = parent[ expando ] || (parent[ expando ] = {}); + cache = outerCache[ type ] || []; + nodeIndex = cache[0] === dirruns && cache[1]; + diff = cache[0] === dirruns && cache[2]; + node = nodeIndex && parent.childNodes[ nodeIndex ]; + + while ( (node = ++nodeIndex && node && node[ dir ] || + + // Fallback to seeking `elem` from the start + (diff = nodeIndex = 0) || start.pop()) ) { + + // When found, cache indexes on `parent` and break + if ( node.nodeType === 1 && ++diff && node === elem ) { + outerCache[ type ] = [ dirruns, nodeIndex, diff ]; + break; + } + } + + // Use previously-cached element index if available + } else if ( useCache && (cache = (elem[ expando ] || (elem[ expando ] = {}))[ type ]) && cache[0] === dirruns ) { + diff = cache[1]; + + // xml :nth-child(...) or :nth-last-child(...) or :nth(-last)?-of-type(...) + } else { + // Use the same loop as above to seek `elem` from the start + while ( (node = ++nodeIndex && node && node[ dir ] || + (diff = nodeIndex = 0) || start.pop()) ) { + + if ( ( ofType ? node.nodeName.toLowerCase() === name : node.nodeType === 1 ) && ++diff ) { + // Cache the index of each encountered element + if ( useCache ) { + (node[ expando ] || (node[ expando ] = {}))[ type ] = [ dirruns, diff ]; + } + + if ( node === elem ) { + break; + } + } + } + } + + // Incorporate the offset, then check against cycle size + diff -= last; + return diff === first || ( diff % first === 0 && diff / first >= 0 ); + } + }; + }, + + "PSEUDO": function( pseudo, argument ) { + // pseudo-class names are case-insensitive + // http://www.w3.org/TR/selectors/#pseudo-classes + // Prioritize by case sensitivity in case custom pseudos are added with uppercase letters + // Remember that setFilters inherits from pseudos + var args, + fn = Expr.pseudos[ pseudo ] || Expr.setFilters[ pseudo.toLowerCase() ] || + Sizzle.error( "unsupported pseudo: " + pseudo ); + + // The user may use createPseudo to indicate that + // arguments are needed to create the filter function + // just as Sizzle does + if ( fn[ expando ] ) { + return fn( argument ); + } + + // But maintain support for old signatures + if ( fn.length > 1 ) { + args = [ pseudo, pseudo, "", argument ]; + return Expr.setFilters.hasOwnProperty( pseudo.toLowerCase() ) ? + markFunction(function( seed, matches ) { + var idx, + matched = fn( seed, argument ), + i = matched.length; + while ( i-- ) { + idx = indexOf.call( seed, matched[i] ); + seed[ idx ] = !( matches[ idx ] = matched[i] ); + } + }) : + function( elem ) { + return fn( elem, 0, args ); + }; + } + + return fn; + } + }, + + pseudos: { + // Potentially complex pseudos + "not": markFunction(function( selector ) { + // Trim the selector passed to compile + // to avoid treating leading and trailing + // spaces as combinators + var input = [], + results = [], + matcher = compile( selector.replace( rtrim, "$1" ) ); + + return matcher[ expando ] ? + markFunction(function( seed, matches, context, xml ) { + var elem, + unmatched = matcher( seed, null, xml, [] ), + i = seed.length; + + // Match elements unmatched by `matcher` + while ( i-- ) { + if ( (elem = unmatched[i]) ) { + seed[i] = !(matches[i] = elem); + } + } + }) : + function( elem, context, xml ) { + input[0] = elem; + matcher( input, null, xml, results ); + return !results.pop(); + }; + }), + + "has": markFunction(function( selector ) { + return function( elem ) { + return Sizzle( selector, elem ).length > 0; + }; + }), + + "contains": markFunction(function( text ) { + return function( elem ) { + return ( elem.textContent || elem.innerText || getText( elem ) ).indexOf( text ) > -1; + }; + }), + + // "Whether an element is represented by a :lang() selector + // is based solely on the element's language value + // being equal to the identifier C, + // or beginning with the identifier C immediately followed by "-". + // The matching of C against the element's language value is performed case-insensitively. + // The identifier C does not have to be a valid language name." + // http://www.w3.org/TR/selectors/#lang-pseudo + "lang": markFunction( function( lang ) { + // lang value must be a valid identifier + if ( !ridentifier.test(lang || "") ) { + Sizzle.error( "unsupported lang: " + lang ); + } + lang = lang.replace( runescape, funescape ).toLowerCase(); + return function( elem ) { + var elemLang; + do { + if ( (elemLang = documentIsHTML ? + elem.lang : + elem.getAttribute("xml:lang") || elem.getAttribute("lang")) ) { + + elemLang = elemLang.toLowerCase(); + return elemLang === lang || elemLang.indexOf( lang + "-" ) === 0; + } + } while ( (elem = elem.parentNode) && elem.nodeType === 1 ); + return false; + }; + }), + + // Miscellaneous + "target": function( elem ) { + var hash = window.location && window.location.hash; + return hash && hash.slice( 1 ) === elem.id; + }, + + "root": function( elem ) { + return elem === docElem; + }, + + "focus": function( elem ) { + return elem === document.activeElement && (!document.hasFocus || document.hasFocus()) && !!(elem.type || elem.href || ~elem.tabIndex); + }, + + // Boolean properties + "enabled": function( elem ) { + return elem.disabled === false; + }, + + "disabled": function( elem ) { + return elem.disabled === true; + }, + + "checked": function( elem ) { + // In CSS3, :checked should return both checked and selected elements + // http://www.w3.org/TR/2011/REC-css3-selectors-20110929/#checked + var nodeName = elem.nodeName.toLowerCase(); + return (nodeName === "input" && !!elem.checked) || (nodeName === "option" && !!elem.selected); + }, + + "selected": function( elem ) { + // Accessing this property makes selected-by-default + // options in Safari work properly + if ( elem.parentNode ) { + elem.parentNode.selectedIndex; + } + + return elem.selected === true; + }, + + // Contents + "empty": function( elem ) { + // http://www.w3.org/TR/selectors/#empty-pseudo + // :empty is negated by element (1) or content nodes (text: 3; cdata: 4; entity ref: 5), + // but not by others (comment: 8; processing instruction: 7; etc.) + // nodeType < 6 works because attributes (2) do not appear as children + for ( elem = elem.firstChild; elem; elem = elem.nextSibling ) { + if ( elem.nodeType < 6 ) { + return false; + } + } + return true; + }, + + "parent": function( elem ) { + return !Expr.pseudos["empty"]( elem ); + }, + + // Element/input types + "header": function( elem ) { + return rheader.test( elem.nodeName ); + }, + + "input": function( elem ) { + return rinputs.test( elem.nodeName ); + }, + + "button": function( elem ) { + var name = elem.nodeName.toLowerCase(); + return name === "input" && elem.type === "button" || name === "button"; + }, + + "text": function( elem ) { + var attr; + return elem.nodeName.toLowerCase() === "input" && + elem.type === "text" && + + // Support: IE<8 + // New HTML5 attribute values (e.g., "search") appear with elem.type === "text" + ( (attr = elem.getAttribute("type")) == null || attr.toLowerCase() === "text" ); + }, + + // Position-in-collection + "first": createPositionalPseudo(function() { + return [ 0 ]; + }), + + "last": createPositionalPseudo(function( matchIndexes, length ) { + return [ length - 1 ]; + }), + + "eq": createPositionalPseudo(function( matchIndexes, length, argument ) { + return [ argument < 0 ? argument + length : argument ]; + }), + + "even": createPositionalPseudo(function( matchIndexes, length ) { + var i = 0; + for ( ; i < length; i += 2 ) { + matchIndexes.push( i ); + } + return matchIndexes; + }), + + "odd": createPositionalPseudo(function( matchIndexes, length ) { + var i = 1; + for ( ; i < length; i += 2 ) { + matchIndexes.push( i ); + } + return matchIndexes; + }), + + "lt": createPositionalPseudo(function( matchIndexes, length, argument ) { + var i = argument < 0 ? argument + length : argument; + for ( ; --i >= 0; ) { + matchIndexes.push( i ); + } + return matchIndexes; + }), + + "gt": createPositionalPseudo(function( matchIndexes, length, argument ) { + var i = argument < 0 ? argument + length : argument; + for ( ; ++i < length; ) { + matchIndexes.push( i ); + } + return matchIndexes; + }) + } +}; + +Expr.pseudos["nth"] = Expr.pseudos["eq"]; + +// Add button/input type pseudos +for ( i in { radio: true, checkbox: true, file: true, password: true, image: true } ) { + Expr.pseudos[ i ] = createInputPseudo( i ); +} +for ( i in { submit: true, reset: true } ) { + Expr.pseudos[ i ] = createButtonPseudo( i ); +} + +// Easy API for creating new setFilters +function setFilters() {} +setFilters.prototype = Expr.filters = Expr.pseudos; +Expr.setFilters = new setFilters(); + +tokenize = Sizzle.tokenize = function( selector, parseOnly ) { + var matched, match, tokens, type, + soFar, groups, preFilters, + cached = tokenCache[ selector + " " ]; + + if ( cached ) { + return parseOnly ? 0 : cached.slice( 0 ); + } + + soFar = selector; + groups = []; + preFilters = Expr.preFilter; + + while ( soFar ) { + + // Comma and first run + if ( !matched || (match = rcomma.exec( soFar )) ) { + if ( match ) { + // Don't consume trailing commas as valid + soFar = soFar.slice( match[0].length ) || soFar; + } + groups.push( (tokens = []) ); + } + + matched = false; + + // Combinators + if ( (match = rcombinators.exec( soFar )) ) { + matched = match.shift(); + tokens.push({ + value: matched, + // Cast descendant combinators to space + type: match[0].replace( rtrim, " " ) + }); + soFar = soFar.slice( matched.length ); + } + + // Filters + for ( type in Expr.filter ) { + if ( (match = matchExpr[ type ].exec( soFar )) && (!preFilters[ type ] || + (match = preFilters[ type ]( match ))) ) { + matched = match.shift(); + tokens.push({ + value: matched, + type: type, + matches: match + }); + soFar = soFar.slice( matched.length ); + } + } + + if ( !matched ) { + break; + } + } + + // Return the length of the invalid excess + // if we're just parsing + // Otherwise, throw an error or return tokens + return parseOnly ? + soFar.length : + soFar ? + Sizzle.error( selector ) : + // Cache the tokens + tokenCache( selector, groups ).slice( 0 ); +}; + +function toSelector( tokens ) { + var i = 0, + len = tokens.length, + selector = ""; + for ( ; i < len; i++ ) { + selector += tokens[i].value; + } + return selector; +} + +function addCombinator( matcher, combinator, base ) { + var dir = combinator.dir, + checkNonElements = base && dir === "parentNode", + doneName = done++; + + return combinator.first ? + // Check against closest ancestor/preceding element + function( elem, context, xml ) { + while ( (elem = elem[ dir ]) ) { + if ( elem.nodeType === 1 || checkNonElements ) { + return matcher( elem, context, xml ); + } + } + } : + + // Check against all ancestor/preceding elements + function( elem, context, xml ) { + var oldCache, outerCache, + newCache = [ dirruns, doneName ]; + + // We can't set arbitrary data on XML nodes, so they don't benefit from dir caching + if ( xml ) { + while ( (elem = elem[ dir ]) ) { + if ( elem.nodeType === 1 || checkNonElements ) { + if ( matcher( elem, context, xml ) ) { + return true; + } + } + } + } else { + while ( (elem = elem[ dir ]) ) { + if ( elem.nodeType === 1 || checkNonElements ) { + outerCache = elem[ expando ] || (elem[ expando ] = {}); + if ( (oldCache = outerCache[ dir ]) && + oldCache[ 0 ] === dirruns && oldCache[ 1 ] === doneName ) { + + // Assign to newCache so results back-propagate to previous elements + return (newCache[ 2 ] = oldCache[ 2 ]); + } else { + // Reuse newcache so results back-propagate to previous elements + outerCache[ dir ] = newCache; + + // A match means we're done; a fail means we have to keep checking + if ( (newCache[ 2 ] = matcher( elem, context, xml )) ) { + return true; + } + } + } + } + } + }; +} + +function elementMatcher( matchers ) { + return matchers.length > 1 ? + function( elem, context, xml ) { + var i = matchers.length; + while ( i-- ) { + if ( !matchers[i]( elem, context, xml ) ) { + return false; + } + } + return true; + } : + matchers[0]; +} + +function multipleContexts( selector, contexts, results ) { + var i = 0, + len = contexts.length; + for ( ; i < len; i++ ) { + Sizzle( selector, contexts[i], results ); + } + return results; +} + +function condense( unmatched, map, filter, context, xml ) { + var elem, + newUnmatched = [], + i = 0, + len = unmatched.length, + mapped = map != null; + + for ( ; i < len; i++ ) { + if ( (elem = unmatched[i]) ) { + if ( !filter || filter( elem, context, xml ) ) { + newUnmatched.push( elem ); + if ( mapped ) { + map.push( i ); + } + } + } + } + + return newUnmatched; +} + +function setMatcher( preFilter, selector, matcher, postFilter, postFinder, postSelector ) { + if ( postFilter && !postFilter[ expando ] ) { + postFilter = setMatcher( postFilter ); + } + if ( postFinder && !postFinder[ expando ] ) { + postFinder = setMatcher( postFinder, postSelector ); + } + return markFunction(function( seed, results, context, xml ) { + var temp, i, elem, + preMap = [], + postMap = [], + preexisting = results.length, + + // Get initial elements from seed or context + elems = seed || multipleContexts( selector || "*", context.nodeType ? [ context ] : context, [] ), + + // Prefilter to get matcher input, preserving a map for seed-results synchronization + matcherIn = preFilter && ( seed || !selector ) ? + condense( elems, preMap, preFilter, context, xml ) : + elems, + + matcherOut = matcher ? + // If we have a postFinder, or filtered seed, or non-seed postFilter or preexisting results, + postFinder || ( seed ? preFilter : preexisting || postFilter ) ? + + // ...intermediate processing is necessary + [] : + + // ...otherwise use results directly + results : + matcherIn; + + // Find primary matches + if ( matcher ) { + matcher( matcherIn, matcherOut, context, xml ); + } + + // Apply postFilter + if ( postFilter ) { + temp = condense( matcherOut, postMap ); + postFilter( temp, [], context, xml ); + + // Un-match failing elements by moving them back to matcherIn + i = temp.length; + while ( i-- ) { + if ( (elem = temp[i]) ) { + matcherOut[ postMap[i] ] = !(matcherIn[ postMap[i] ] = elem); + } + } + } + + if ( seed ) { + if ( postFinder || preFilter ) { + if ( postFinder ) { + // Get the final matcherOut by condensing this intermediate into postFinder contexts + temp = []; + i = matcherOut.length; + while ( i-- ) { + if ( (elem = matcherOut[i]) ) { + // Restore matcherIn since elem is not yet a final match + temp.push( (matcherIn[i] = elem) ); + } + } + postFinder( null, (matcherOut = []), temp, xml ); + } + + // Move matched elements from seed to results to keep them synchronized + i = matcherOut.length; + while ( i-- ) { + if ( (elem = matcherOut[i]) && + (temp = postFinder ? indexOf.call( seed, elem ) : preMap[i]) > -1 ) { + + seed[temp] = !(results[temp] = elem); + } + } + } + + // Add elements to results, through postFinder if defined + } else { + matcherOut = condense( + matcherOut === results ? + matcherOut.splice( preexisting, matcherOut.length ) : + matcherOut + ); + if ( postFinder ) { + postFinder( null, results, matcherOut, xml ); + } else { + push.apply( results, matcherOut ); + } + } + }); +} + +function matcherFromTokens( tokens ) { + var checkContext, matcher, j, + len = tokens.length, + leadingRelative = Expr.relative[ tokens[0].type ], + implicitRelative = leadingRelative || Expr.relative[" "], + i = leadingRelative ? 1 : 0, + + // The foundational matcher ensures that elements are reachable from top-level context(s) + matchContext = addCombinator( function( elem ) { + return elem === checkContext; + }, implicitRelative, true ), + matchAnyContext = addCombinator( function( elem ) { + return indexOf.call( checkContext, elem ) > -1; + }, implicitRelative, true ), + matchers = [ function( elem, context, xml ) { + return ( !leadingRelative && ( xml || context !== outermostContext ) ) || ( + (checkContext = context).nodeType ? + matchContext( elem, context, xml ) : + matchAnyContext( elem, context, xml ) ); + } ]; + + for ( ; i < len; i++ ) { + if ( (matcher = Expr.relative[ tokens[i].type ]) ) { + matchers = [ addCombinator(elementMatcher( matchers ), matcher) ]; + } else { + matcher = Expr.filter[ tokens[i].type ].apply( null, tokens[i].matches ); + + // Return special upon seeing a positional matcher + if ( matcher[ expando ] ) { + // Find the next relative operator (if any) for proper handling + j = ++i; + for ( ; j < len; j++ ) { + if ( Expr.relative[ tokens[j].type ] ) { + break; + } + } + return setMatcher( + i > 1 && elementMatcher( matchers ), + i > 1 && toSelector( + // If the preceding token was a descendant combinator, insert an implicit any-element `*` + tokens.slice( 0, i - 1 ).concat({ value: tokens[ i - 2 ].type === " " ? "*" : "" }) + ).replace( rtrim, "$1" ), + matcher, + i < j && matcherFromTokens( tokens.slice( i, j ) ), + j < len && matcherFromTokens( (tokens = tokens.slice( j )) ), + j < len && toSelector( tokens ) + ); + } + matchers.push( matcher ); + } + } + + return elementMatcher( matchers ); +} + +function matcherFromGroupMatchers( elementMatchers, setMatchers ) { + var bySet = setMatchers.length > 0, + byElement = elementMatchers.length > 0, + superMatcher = function( seed, context, xml, results, outermost ) { + var elem, j, matcher, + matchedCount = 0, + i = "0", + unmatched = seed && [], + setMatched = [], + contextBackup = outermostContext, + // We must always have either seed elements or outermost context + elems = seed || byElement && Expr.find["TAG"]( "*", outermost ), + // Use integer dirruns iff this is the outermost matcher + dirrunsUnique = (dirruns += contextBackup == null ? 1 : Math.random() || 0.1), + len = elems.length; + + if ( outermost ) { + outermostContext = context !== document && context; + } + + // Add elements passing elementMatchers directly to results + // Keep `i` a string if there are no elements so `matchedCount` will be "00" below + // Support: IE<9, Safari + // Tolerate NodeList properties (IE: "length"; Safari: ) matching elements by id + for ( ; i !== len && (elem = elems[i]) != null; i++ ) { + if ( byElement && elem ) { + j = 0; + while ( (matcher = elementMatchers[j++]) ) { + if ( matcher( elem, context, xml ) ) { + results.push( elem ); + break; + } + } + if ( outermost ) { + dirruns = dirrunsUnique; + } + } + + // Track unmatched elements for set filters + if ( bySet ) { + // They will have gone through all possible matchers + if ( (elem = !matcher && elem) ) { + matchedCount--; + } + + // Lengthen the array for every element, matched or not + if ( seed ) { + unmatched.push( elem ); + } + } + } + + // Apply set filters to unmatched elements + matchedCount += i; + if ( bySet && i !== matchedCount ) { + j = 0; + while ( (matcher = setMatchers[j++]) ) { + matcher( unmatched, setMatched, context, xml ); + } + + if ( seed ) { + // Reintegrate element matches to eliminate the need for sorting + if ( matchedCount > 0 ) { + while ( i-- ) { + if ( !(unmatched[i] || setMatched[i]) ) { + setMatched[i] = pop.call( results ); + } + } + } + + // Discard index placeholder values to get only actual matches + setMatched = condense( setMatched ); + } + + // Add matches to results + push.apply( results, setMatched ); + + // Seedless set matches succeeding multiple successful matchers stipulate sorting + if ( outermost && !seed && setMatched.length > 0 && + ( matchedCount + setMatchers.length ) > 1 ) { + + Sizzle.uniqueSort( results ); + } + } + + // Override manipulation of globals by nested matchers + if ( outermost ) { + dirruns = dirrunsUnique; + outermostContext = contextBackup; + } + + return unmatched; + }; + + return bySet ? + markFunction( superMatcher ) : + superMatcher; +} + +compile = Sizzle.compile = function( selector, match /* Internal Use Only */ ) { + var i, + setMatchers = [], + elementMatchers = [], + cached = compilerCache[ selector + " " ]; + + if ( !cached ) { + // Generate a function of recursive functions that can be used to check each element + if ( !match ) { + match = tokenize( selector ); + } + i = match.length; + while ( i-- ) { + cached = matcherFromTokens( match[i] ); + if ( cached[ expando ] ) { + setMatchers.push( cached ); + } else { + elementMatchers.push( cached ); + } + } + + // Cache the compiled function + cached = compilerCache( selector, matcherFromGroupMatchers( elementMatchers, setMatchers ) ); + + // Save selector and tokenization + cached.selector = selector; + } + return cached; +}; + +/** + * A low-level selection function that works with Sizzle's compiled + * selector functions + * @param {String|Function} selector A selector or a pre-compiled + * selector function built with Sizzle.compile + * @param {Element} context + * @param {Array} [results] + * @param {Array} [seed] A set of elements to match against + */ +select = Sizzle.select = function( selector, context, results, seed ) { + var i, tokens, token, type, find, + compiled = typeof selector === "function" && selector, + match = !seed && tokenize( (selector = compiled.selector || selector) ); + + results = results || []; + + // Try to minimize operations if there is no seed and only one group + if ( match.length === 1 ) { + + // Take a shortcut and set the context if the root selector is an ID + tokens = match[0] = match[0].slice( 0 ); + if ( tokens.length > 2 && (token = tokens[0]).type === "ID" && + support.getById && context.nodeType === 9 && documentIsHTML && + Expr.relative[ tokens[1].type ] ) { + + context = ( Expr.find["ID"]( token.matches[0].replace(runescape, funescape), context ) || [] )[0]; + if ( !context ) { + return results; + + // Precompiled matchers will still verify ancestry, so step up a level + } else if ( compiled ) { + context = context.parentNode; + } + + selector = selector.slice( tokens.shift().value.length ); + } + + // Fetch a seed set for right-to-left matching + i = matchExpr["needsContext"].test( selector ) ? 0 : tokens.length; + while ( i-- ) { + token = tokens[i]; + + // Abort if we hit a combinator + if ( Expr.relative[ (type = token.type) ] ) { + break; + } + if ( (find = Expr.find[ type ]) ) { + // Search, expanding context for leading sibling combinators + if ( (seed = find( + token.matches[0].replace( runescape, funescape ), + rsibling.test( tokens[0].type ) && testContext( context.parentNode ) || context + )) ) { + + // If seed is empty or no tokens remain, we can return early + tokens.splice( i, 1 ); + selector = seed.length && toSelector( tokens ); + if ( !selector ) { + push.apply( results, seed ); + return results; + } + + break; + } + } + } + } + + // Compile and execute a filtering function if one is not provided + // Provide `match` to avoid retokenization if we modified the selector above + ( compiled || compile( selector, match ) )( + seed, + context, + !documentIsHTML, + results, + rsibling.test( selector ) && testContext( context.parentNode ) || context + ); + return results; +}; + +// One-time assignments + +// Sort stability +support.sortStable = expando.split("").sort( sortOrder ).join("") === expando; + +// Support: Chrome<14 +// Always assume duplicates if they aren't passed to the comparison function +support.detectDuplicates = !!hasDuplicate; + +// Initialize against the default document +setDocument(); + +// Support: Webkit<537.32 - Safari 6.0.3/Chrome 25 (fixed in Chrome 27) +// Detached nodes confoundingly follow *each other* +support.sortDetached = assert(function( div1 ) { + // Should return 1, but returns 4 (following) + return div1.compareDocumentPosition( document.createElement("div") ) & 1; +}); + +// Support: IE<8 +// Prevent attribute/property "interpolation" +// http://msdn.microsoft.com/en-us/library/ms536429%28VS.85%29.aspx +if ( !assert(function( div ) { + div.innerHTML = ""; + return div.firstChild.getAttribute("href") === "#" ; +}) ) { + addHandle( "type|href|height|width", function( elem, name, isXML ) { + if ( !isXML ) { + return elem.getAttribute( name, name.toLowerCase() === "type" ? 1 : 2 ); + } + }); +} + +// Support: IE<9 +// Use defaultValue in place of getAttribute("value") +if ( !support.attributes || !assert(function( div ) { + div.innerHTML = ""; + div.firstChild.setAttribute( "value", "" ); + return div.firstChild.getAttribute( "value" ) === ""; +}) ) { + addHandle( "value", function( elem, name, isXML ) { + if ( !isXML && elem.nodeName.toLowerCase() === "input" ) { + return elem.defaultValue; + } + }); +} + +// Support: IE<9 +// Use getAttributeNode to fetch booleans when getAttribute lies +if ( !assert(function( div ) { + return div.getAttribute("disabled") == null; +}) ) { + addHandle( booleans, function( elem, name, isXML ) { + var val; + if ( !isXML ) { + return elem[ name ] === true ? name.toLowerCase() : + (val = elem.getAttributeNode( name )) && val.specified ? + val.value : + null; + } + }); +} + +return Sizzle; + +})( window ); + + + +jQuery.find = Sizzle; +jQuery.expr = Sizzle.selectors; +jQuery.expr[":"] = jQuery.expr.pseudos; +jQuery.unique = Sizzle.uniqueSort; +jQuery.text = Sizzle.getText; +jQuery.isXMLDoc = Sizzle.isXML; +jQuery.contains = Sizzle.contains; + + + +var rneedsContext = jQuery.expr.match.needsContext; + +var rsingleTag = (/^<(\w+)\s*\/?>(?:<\/\1>|)$/); + + + +var risSimple = /^.[^:#\[\.,]*$/; + +// Implement the identical functionality for filter and not +function winnow( elements, qualifier, not ) { + if ( jQuery.isFunction( qualifier ) ) { + return jQuery.grep( elements, function( elem, i ) { + /* jshint -W018 */ + return !!qualifier.call( elem, i, elem ) !== not; + }); + + } + + if ( qualifier.nodeType ) { + return jQuery.grep( elements, function( elem ) { + return ( elem === qualifier ) !== not; + }); + + } + + if ( typeof qualifier === "string" ) { + if ( risSimple.test( qualifier ) ) { + return jQuery.filter( qualifier, elements, not ); + } + + qualifier = jQuery.filter( qualifier, elements ); + } + + return jQuery.grep( elements, function( elem ) { + return ( jQuery.inArray( elem, qualifier ) >= 0 ) !== not; + }); +} + +jQuery.filter = function( expr, elems, not ) { + var elem = elems[ 0 ]; + + if ( not ) { + expr = ":not(" + expr + ")"; + } + + return elems.length === 1 && elem.nodeType === 1 ? + jQuery.find.matchesSelector( elem, expr ) ? [ elem ] : [] : + jQuery.find.matches( expr, jQuery.grep( elems, function( elem ) { + return elem.nodeType === 1; + })); +}; + +jQuery.fn.extend({ + find: function( selector ) { + var i, + ret = [], + self = this, + len = self.length; + + if ( typeof selector !== "string" ) { + return this.pushStack( jQuery( selector ).filter(function() { + for ( i = 0; i < len; i++ ) { + if ( jQuery.contains( self[ i ], this ) ) { + return true; + } + } + }) ); + } + + for ( i = 0; i < len; i++ ) { + jQuery.find( selector, self[ i ], ret ); + } + + // Needed because $( selector, context ) becomes $( context ).find( selector ) + ret = this.pushStack( len > 1 ? jQuery.unique( ret ) : ret ); + ret.selector = this.selector ? this.selector + " " + selector : selector; + return ret; + }, + filter: function( selector ) { + return this.pushStack( winnow(this, selector || [], false) ); + }, + not: function( selector ) { + return this.pushStack( winnow(this, selector || [], true) ); + }, + is: function( selector ) { + return !!winnow( + this, + + // If this is a positional/relative selector, check membership in the returned set + // so $("p:first").is("p:last") won't return true for a doc with two "p". + typeof selector === "string" && rneedsContext.test( selector ) ? + jQuery( selector ) : + selector || [], + false + ).length; + } +}); + + +// Initialize a jQuery object + + +// A central reference to the root jQuery(document) +var rootjQuery, + + // Use the correct document accordingly with window argument (sandbox) + document = window.document, + + // A simple way to check for HTML strings + // Prioritize #id over to avoid XSS via location.hash (#9521) + // Strict HTML recognition (#11290: must start with <) + rquickExpr = /^(?:\s*(<[\w\W]+>)[^>]*|#([\w-]*))$/, + + init = jQuery.fn.init = function( selector, context ) { + var match, elem; + + // HANDLE: $(""), $(null), $(undefined), $(false) + if ( !selector ) { + return this; + } + + // Handle HTML strings + if ( typeof selector === "string" ) { + if ( selector.charAt(0) === "<" && selector.charAt( selector.length - 1 ) === ">" && selector.length >= 3 ) { + // Assume that strings that start and end with <> are HTML and skip the regex check + match = [ null, selector, null ]; + + } else { + match = rquickExpr.exec( selector ); + } + + // Match html or make sure no context is specified for #id + if ( match && (match[1] || !context) ) { + + // HANDLE: $(html) -> $(array) + if ( match[1] ) { + context = context instanceof jQuery ? context[0] : context; + + // scripts is true for back-compat + // Intentionally let the error be thrown if parseHTML is not present + jQuery.merge( this, jQuery.parseHTML( + match[1], + context && context.nodeType ? context.ownerDocument || context : document, + true + ) ); + + // HANDLE: $(html, props) + if ( rsingleTag.test( match[1] ) && jQuery.isPlainObject( context ) ) { + for ( match in context ) { + // Properties of context are called as methods if possible + if ( jQuery.isFunction( this[ match ] ) ) { + this[ match ]( context[ match ] ); + + // ...and otherwise set as attributes + } else { + this.attr( match, context[ match ] ); + } + } + } + + return this; + + // HANDLE: $(#id) + } else { + elem = document.getElementById( match[2] ); + + // Check parentNode to catch when Blackberry 4.6 returns + // nodes that are no longer in the document #6963 + if ( elem && elem.parentNode ) { + // Handle the case where IE and Opera return items + // by name instead of ID + if ( elem.id !== match[2] ) { + return rootjQuery.find( selector ); + } + + // Otherwise, we inject the element directly into the jQuery object + this.length = 1; + this[0] = elem; + } + + this.context = document; + this.selector = selector; + return this; + } + + // HANDLE: $(expr, $(...)) + } else if ( !context || context.jquery ) { + return ( context || rootjQuery ).find( selector ); + + // HANDLE: $(expr, context) + // (which is just equivalent to: $(context).find(expr) + } else { + return this.constructor( context ).find( selector ); + } + + // HANDLE: $(DOMElement) + } else if ( selector.nodeType ) { + this.context = this[0] = selector; + this.length = 1; + return this; + + // HANDLE: $(function) + // Shortcut for document ready + } else if ( jQuery.isFunction( selector ) ) { + return typeof rootjQuery.ready !== "undefined" ? + rootjQuery.ready( selector ) : + // Execute immediately if ready is not present + selector( jQuery ); + } + + if ( selector.selector !== undefined ) { + this.selector = selector.selector; + this.context = selector.context; + } + + return jQuery.makeArray( selector, this ); + }; + +// Give the init function the jQuery prototype for later instantiation +init.prototype = jQuery.fn; + +// Initialize central reference +rootjQuery = jQuery( document ); + + +var rparentsprev = /^(?:parents|prev(?:Until|All))/, + // methods guaranteed to produce a unique set when starting from a unique set + guaranteedUnique = { + children: true, + contents: true, + next: true, + prev: true + }; + +jQuery.extend({ + dir: function( elem, dir, until ) { + var matched = [], + cur = elem[ dir ]; + + while ( cur && cur.nodeType !== 9 && (until === undefined || cur.nodeType !== 1 || !jQuery( cur ).is( until )) ) { + if ( cur.nodeType === 1 ) { + matched.push( cur ); + } + cur = cur[dir]; + } + return matched; + }, + + sibling: function( n, elem ) { + var r = []; + + for ( ; n; n = n.nextSibling ) { + if ( n.nodeType === 1 && n !== elem ) { + r.push( n ); + } + } + + return r; + } +}); + +jQuery.fn.extend({ + has: function( target ) { + var i, + targets = jQuery( target, this ), + len = targets.length; + + return this.filter(function() { + for ( i = 0; i < len; i++ ) { + if ( jQuery.contains( this, targets[i] ) ) { + return true; + } + } + }); + }, + + closest: function( selectors, context ) { + var cur, + i = 0, + l = this.length, + matched = [], + pos = rneedsContext.test( selectors ) || typeof selectors !== "string" ? + jQuery( selectors, context || this.context ) : + 0; + + for ( ; i < l; i++ ) { + for ( cur = this[i]; cur && cur !== context; cur = cur.parentNode ) { + // Always skip document fragments + if ( cur.nodeType < 11 && (pos ? + pos.index(cur) > -1 : + + // Don't pass non-elements to Sizzle + cur.nodeType === 1 && + jQuery.find.matchesSelector(cur, selectors)) ) { + + matched.push( cur ); + break; + } + } + } + + return this.pushStack( matched.length > 1 ? jQuery.unique( matched ) : matched ); + }, + + // Determine the position of an element within + // the matched set of elements + index: function( elem ) { + + // No argument, return index in parent + if ( !elem ) { + return ( this[0] && this[0].parentNode ) ? this.first().prevAll().length : -1; + } + + // index in selector + if ( typeof elem === "string" ) { + return jQuery.inArray( this[0], jQuery( elem ) ); + } + + // Locate the position of the desired element + return jQuery.inArray( + // If it receives a jQuery object, the first element is used + elem.jquery ? elem[0] : elem, this ); + }, + + add: function( selector, context ) { + return this.pushStack( + jQuery.unique( + jQuery.merge( this.get(), jQuery( selector, context ) ) + ) + ); + }, + + addBack: function( selector ) { + return this.add( selector == null ? + this.prevObject : this.prevObject.filter(selector) + ); + } +}); + +function sibling( cur, dir ) { + do { + cur = cur[ dir ]; + } while ( cur && cur.nodeType !== 1 ); + + return cur; +} + +jQuery.each({ + parent: function( elem ) { + var parent = elem.parentNode; + return parent && parent.nodeType !== 11 ? parent : null; + }, + parents: function( elem ) { + return jQuery.dir( elem, "parentNode" ); + }, + parentsUntil: function( elem, i, until ) { + return jQuery.dir( elem, "parentNode", until ); + }, + next: function( elem ) { + return sibling( elem, "nextSibling" ); + }, + prev: function( elem ) { + return sibling( elem, "previousSibling" ); + }, + nextAll: function( elem ) { + return jQuery.dir( elem, "nextSibling" ); + }, + prevAll: function( elem ) { + return jQuery.dir( elem, "previousSibling" ); + }, + nextUntil: function( elem, i, until ) { + return jQuery.dir( elem, "nextSibling", until ); + }, + prevUntil: function( elem, i, until ) { + return jQuery.dir( elem, "previousSibling", until ); + }, + siblings: function( elem ) { + return jQuery.sibling( ( elem.parentNode || {} ).firstChild, elem ); + }, + children: function( elem ) { + return jQuery.sibling( elem.firstChild ); + }, + contents: function( elem ) { + return jQuery.nodeName( elem, "iframe" ) ? + elem.contentDocument || elem.contentWindow.document : + jQuery.merge( [], elem.childNodes ); + } +}, function( name, fn ) { + jQuery.fn[ name ] = function( until, selector ) { + var ret = jQuery.map( this, fn, until ); + + if ( name.slice( -5 ) !== "Until" ) { + selector = until; + } + + if ( selector && typeof selector === "string" ) { + ret = jQuery.filter( selector, ret ); + } + + if ( this.length > 1 ) { + // Remove duplicates + if ( !guaranteedUnique[ name ] ) { + ret = jQuery.unique( ret ); + } + + // Reverse order for parents* and prev-derivatives + if ( rparentsprev.test( name ) ) { + ret = ret.reverse(); + } + } + + return this.pushStack( ret ); + }; +}); +var rnotwhite = (/\S+/g); + + + +// String to Object options format cache +var optionsCache = {}; + +// Convert String-formatted options into Object-formatted ones and store in cache +function createOptions( options ) { + var object = optionsCache[ options ] = {}; + jQuery.each( options.match( rnotwhite ) || [], function( _, flag ) { + object[ flag ] = true; + }); + return object; +} + +/* + * Create a callback list using the following parameters: + * + * options: an optional list of space-separated options that will change how + * the callback list behaves or a more traditional option object + * + * By default a callback list will act like an event callback list and can be + * "fired" multiple times. + * + * Possible options: + * + * once: will ensure the callback list can only be fired once (like a Deferred) + * + * memory: will keep track of previous values and will call any callback added + * after the list has been fired right away with the latest "memorized" + * values (like a Deferred) + * + * unique: will ensure a callback can only be added once (no duplicate in the list) + * + * stopOnFalse: interrupt callings when a callback returns false + * + */ +jQuery.Callbacks = function( options ) { + + // Convert options from String-formatted to Object-formatted if needed + // (we check in cache first) + options = typeof options === "string" ? + ( optionsCache[ options ] || createOptions( options ) ) : + jQuery.extend( {}, options ); + + var // Flag to know if list is currently firing + firing, + // Last fire value (for non-forgettable lists) + memory, + // Flag to know if list was already fired + fired, + // End of the loop when firing + firingLength, + // Index of currently firing callback (modified by remove if needed) + firingIndex, + // First callback to fire (used internally by add and fireWith) + firingStart, + // Actual callback list + list = [], + // Stack of fire calls for repeatable lists + stack = !options.once && [], + // Fire callbacks + fire = function( data ) { + memory = options.memory && data; + fired = true; + firingIndex = firingStart || 0; + firingStart = 0; + firingLength = list.length; + firing = true; + for ( ; list && firingIndex < firingLength; firingIndex++ ) { + if ( list[ firingIndex ].apply( data[ 0 ], data[ 1 ] ) === false && options.stopOnFalse ) { + memory = false; // To prevent further calls using add + break; + } + } + firing = false; + if ( list ) { + if ( stack ) { + if ( stack.length ) { + fire( stack.shift() ); + } + } else if ( memory ) { + list = []; + } else { + self.disable(); + } + } + }, + // Actual Callbacks object + self = { + // Add a callback or a collection of callbacks to the list + add: function() { + if ( list ) { + // First, we save the current length + var start = list.length; + (function add( args ) { + jQuery.each( args, function( _, arg ) { + var type = jQuery.type( arg ); + if ( type === "function" ) { + if ( !options.unique || !self.has( arg ) ) { + list.push( arg ); + } + } else if ( arg && arg.length && type !== "string" ) { + // Inspect recursively + add( arg ); + } + }); + })( arguments ); + // Do we need to add the callbacks to the + // current firing batch? + if ( firing ) { + firingLength = list.length; + // With memory, if we're not firing then + // we should call right away + } else if ( memory ) { + firingStart = start; + fire( memory ); + } + } + return this; + }, + // Remove a callback from the list + remove: function() { + if ( list ) { + jQuery.each( arguments, function( _, arg ) { + var index; + while ( ( index = jQuery.inArray( arg, list, index ) ) > -1 ) { + list.splice( index, 1 ); + // Handle firing indexes + if ( firing ) { + if ( index <= firingLength ) { + firingLength--; + } + if ( index <= firingIndex ) { + firingIndex--; + } + } + } + }); + } + return this; + }, + // Check if a given callback is in the list. + // If no argument is given, return whether or not list has callbacks attached. + has: function( fn ) { + return fn ? jQuery.inArray( fn, list ) > -1 : !!( list && list.length ); + }, + // Remove all callbacks from the list + empty: function() { + list = []; + firingLength = 0; + return this; + }, + // Have the list do nothing anymore + disable: function() { + list = stack = memory = undefined; + return this; + }, + // Is it disabled? + disabled: function() { + return !list; + }, + // Lock the list in its current state + lock: function() { + stack = undefined; + if ( !memory ) { + self.disable(); + } + return this; + }, + // Is it locked? + locked: function() { + return !stack; + }, + // Call all callbacks with the given context and arguments + fireWith: function( context, args ) { + if ( list && ( !fired || stack ) ) { + args = args || []; + args = [ context, args.slice ? args.slice() : args ]; + if ( firing ) { + stack.push( args ); + } else { + fire( args ); + } + } + return this; + }, + // Call all the callbacks with the given arguments + fire: function() { + self.fireWith( this, arguments ); + return this; + }, + // To know if the callbacks have already been called at least once + fired: function() { + return !!fired; + } + }; + + return self; +}; + + +jQuery.extend({ + + Deferred: function( func ) { + var tuples = [ + // action, add listener, listener list, final state + [ "resolve", "done", jQuery.Callbacks("once memory"), "resolved" ], + [ "reject", "fail", jQuery.Callbacks("once memory"), "rejected" ], + [ "notify", "progress", jQuery.Callbacks("memory") ] + ], + state = "pending", + promise = { + state: function() { + return state; + }, + always: function() { + deferred.done( arguments ).fail( arguments ); + return this; + }, + then: function( /* fnDone, fnFail, fnProgress */ ) { + var fns = arguments; + return jQuery.Deferred(function( newDefer ) { + jQuery.each( tuples, function( i, tuple ) { + var fn = jQuery.isFunction( fns[ i ] ) && fns[ i ]; + // deferred[ done | fail | progress ] for forwarding actions to newDefer + deferred[ tuple[1] ](function() { + var returned = fn && fn.apply( this, arguments ); + if ( returned && jQuery.isFunction( returned.promise ) ) { + returned.promise() + .done( newDefer.resolve ) + .fail( newDefer.reject ) + .progress( newDefer.notify ); + } else { + newDefer[ tuple[ 0 ] + "With" ]( this === promise ? newDefer.promise() : this, fn ? [ returned ] : arguments ); + } + }); + }); + fns = null; + }).promise(); + }, + // Get a promise for this deferred + // If obj is provided, the promise aspect is added to the object + promise: function( obj ) { + return obj != null ? jQuery.extend( obj, promise ) : promise; + } + }, + deferred = {}; + + // Keep pipe for back-compat + promise.pipe = promise.then; + + // Add list-specific methods + jQuery.each( tuples, function( i, tuple ) { + var list = tuple[ 2 ], + stateString = tuple[ 3 ]; + + // promise[ done | fail | progress ] = list.add + promise[ tuple[1] ] = list.add; + + // Handle state + if ( stateString ) { + list.add(function() { + // state = [ resolved | rejected ] + state = stateString; + + // [ reject_list | resolve_list ].disable; progress_list.lock + }, tuples[ i ^ 1 ][ 2 ].disable, tuples[ 2 ][ 2 ].lock ); + } + + // deferred[ resolve | reject | notify ] + deferred[ tuple[0] ] = function() { + deferred[ tuple[0] + "With" ]( this === deferred ? promise : this, arguments ); + return this; + }; + deferred[ tuple[0] + "With" ] = list.fireWith; + }); + + // Make the deferred a promise + promise.promise( deferred ); + + // Call given func if any + if ( func ) { + func.call( deferred, deferred ); + } + + // All done! + return deferred; + }, + + // Deferred helper + when: function( subordinate /* , ..., subordinateN */ ) { + var i = 0, + resolveValues = slice.call( arguments ), + length = resolveValues.length, + + // the count of uncompleted subordinates + remaining = length !== 1 || ( subordinate && jQuery.isFunction( subordinate.promise ) ) ? length : 0, + + // the master Deferred. If resolveValues consist of only a single Deferred, just use that. + deferred = remaining === 1 ? subordinate : jQuery.Deferred(), + + // Update function for both resolve and progress values + updateFunc = function( i, contexts, values ) { + return function( value ) { + contexts[ i ] = this; + values[ i ] = arguments.length > 1 ? slice.call( arguments ) : value; + if ( values === progressValues ) { + deferred.notifyWith( contexts, values ); + + } else if ( !(--remaining) ) { + deferred.resolveWith( contexts, values ); + } + }; + }, + + progressValues, progressContexts, resolveContexts; + + // add listeners to Deferred subordinates; treat others as resolved + if ( length > 1 ) { + progressValues = new Array( length ); + progressContexts = new Array( length ); + resolveContexts = new Array( length ); + for ( ; i < length; i++ ) { + if ( resolveValues[ i ] && jQuery.isFunction( resolveValues[ i ].promise ) ) { + resolveValues[ i ].promise() + .done( updateFunc( i, resolveContexts, resolveValues ) ) + .fail( deferred.reject ) + .progress( updateFunc( i, progressContexts, progressValues ) ); + } else { + --remaining; + } + } + } + + // if we're not waiting on anything, resolve the master + if ( !remaining ) { + deferred.resolveWith( resolveContexts, resolveValues ); + } + + return deferred.promise(); + } +}); + + +// The deferred used on DOM ready +var readyList; + +jQuery.fn.ready = function( fn ) { + // Add the callback + jQuery.ready.promise().done( fn ); + + return this; +}; + +jQuery.extend({ + // Is the DOM ready to be used? Set to true once it occurs. + isReady: false, + + // A counter to track how many items to wait for before + // the ready event fires. See #6781 + readyWait: 1, + + // Hold (or release) the ready event + holdReady: function( hold ) { + if ( hold ) { + jQuery.readyWait++; + } else { + jQuery.ready( true ); + } + }, + + // Handle when the DOM is ready + ready: function( wait ) { + + // Abort if there are pending holds or we're already ready + if ( wait === true ? --jQuery.readyWait : jQuery.isReady ) { + return; + } + + // Make sure body exists, at least, in case IE gets a little overzealous (ticket #5443). + if ( !document.body ) { + return setTimeout( jQuery.ready ); + } + + // Remember that the DOM is ready + jQuery.isReady = true; + + // If a normal DOM Ready event fired, decrement, and wait if need be + if ( wait !== true && --jQuery.readyWait > 0 ) { + return; + } + + // If there are functions bound, to execute + readyList.resolveWith( document, [ jQuery ] ); + + // Trigger any bound ready events + if ( jQuery.fn.triggerHandler ) { + jQuery( document ).triggerHandler( "ready" ); + jQuery( document ).off( "ready" ); + } + } +}); + +/** + * Clean-up method for dom ready events + */ +function detach() { + if ( document.addEventListener ) { + document.removeEventListener( "DOMContentLoaded", completed, false ); + window.removeEventListener( "load", completed, false ); + + } else { + document.detachEvent( "onreadystatechange", completed ); + window.detachEvent( "onload", completed ); + } +} + +/** + * The ready event handler and self cleanup method + */ +function completed() { + // readyState === "complete" is good enough for us to call the dom ready in oldIE + if ( document.addEventListener || event.type === "load" || document.readyState === "complete" ) { + detach(); + jQuery.ready(); + } +} + +jQuery.ready.promise = function( obj ) { + if ( !readyList ) { + + readyList = jQuery.Deferred(); + + // Catch cases where $(document).ready() is called after the browser event has already occurred. + // we once tried to use readyState "interactive" here, but it caused issues like the one + // discovered by ChrisS here: http://bugs.jquery.com/ticket/12282#comment:15 + if ( document.readyState === "complete" ) { + // Handle it asynchronously to allow scripts the opportunity to delay ready + setTimeout( jQuery.ready ); + + // Standards-based browsers support DOMContentLoaded + } else if ( document.addEventListener ) { + // Use the handy event callback + document.addEventListener( "DOMContentLoaded", completed, false ); + + // A fallback to window.onload, that will always work + window.addEventListener( "load", completed, false ); + + // If IE event model is used + } else { + // Ensure firing before onload, maybe late but safe also for iframes + document.attachEvent( "onreadystatechange", completed ); + + // A fallback to window.onload, that will always work + window.attachEvent( "onload", completed ); + + // If IE and not a frame + // continually check to see if the document is ready + var top = false; + + try { + top = window.frameElement == null && document.documentElement; + } catch(e) {} + + if ( top && top.doScroll ) { + (function doScrollCheck() { + if ( !jQuery.isReady ) { + + try { + // Use the trick by Diego Perini + // http://javascript.nwbox.com/IEContentLoaded/ + top.doScroll("left"); + } catch(e) { + return setTimeout( doScrollCheck, 50 ); + } + + // detach all dom ready events + detach(); + + // and execute any waiting functions + jQuery.ready(); + } + })(); + } + } + } + return readyList.promise( obj ); +}; + + +var strundefined = typeof undefined; + + + +// Support: IE<9 +// Iteration over object's inherited properties before its own +var i; +for ( i in jQuery( support ) ) { + break; +} +support.ownLast = i !== "0"; + +// Note: most support tests are defined in their respective modules. +// false until the test is run +support.inlineBlockNeedsLayout = false; + +// Execute ASAP in case we need to set body.style.zoom +jQuery(function() { + // Minified: var a,b,c,d + var val, div, body, container; + + body = document.getElementsByTagName( "body" )[ 0 ]; + if ( !body || !body.style ) { + // Return for frameset docs that don't have a body + return; + } + + // Setup + div = document.createElement( "div" ); + container = document.createElement( "div" ); + container.style.cssText = "position:absolute;border:0;width:0;height:0;top:0;left:-9999px"; + body.appendChild( container ).appendChild( div ); + + if ( typeof div.style.zoom !== strundefined ) { + // Support: IE<8 + // Check if natively block-level elements act like inline-block + // elements when setting their display to 'inline' and giving + // them layout + div.style.cssText = "display:inline;margin:0;border:0;padding:1px;width:1px;zoom:1"; + + support.inlineBlockNeedsLayout = val = div.offsetWidth === 3; + if ( val ) { + // Prevent IE 6 from affecting layout for positioned elements #11048 + // Prevent IE from shrinking the body in IE 7 mode #12869 + // Support: IE<8 + body.style.zoom = 1; + } + } + + body.removeChild( container ); +}); + + + + +(function() { + var div = document.createElement( "div" ); + + // Execute the test only if not already executed in another module. + if (support.deleteExpando == null) { + // Support: IE<9 + support.deleteExpando = true; + try { + delete div.test; + } catch( e ) { + support.deleteExpando = false; + } + } + + // Null elements to avoid leaks in IE. + div = null; +})(); + + +/** + * Determines whether an object can have data + */ +jQuery.acceptData = function( elem ) { + var noData = jQuery.noData[ (elem.nodeName + " ").toLowerCase() ], + nodeType = +elem.nodeType || 1; + + // Do not set data on non-element DOM nodes because it will not be cleared (#8335). + return nodeType !== 1 && nodeType !== 9 ? + false : + + // Nodes accept data unless otherwise specified; rejection can be conditional + !noData || noData !== true && elem.getAttribute("classid") === noData; +}; + + +var rbrace = /^(?:\{[\w\W]*\}|\[[\w\W]*\])$/, + rmultiDash = /([A-Z])/g; + +function dataAttr( elem, key, data ) { + // If nothing was found internally, try to fetch any + // data from the HTML5 data-* attribute + if ( data === undefined && elem.nodeType === 1 ) { + + var name = "data-" + key.replace( rmultiDash, "-$1" ).toLowerCase(); + + data = elem.getAttribute( name ); + + if ( typeof data === "string" ) { + try { + data = data === "true" ? true : + data === "false" ? false : + data === "null" ? null : + // Only convert to a number if it doesn't change the string + +data + "" === data ? +data : + rbrace.test( data ) ? jQuery.parseJSON( data ) : + data; + } catch( e ) {} + + // Make sure we set the data so it isn't changed later + jQuery.data( elem, key, data ); + + } else { + data = undefined; + } + } + + return data; +} + +// checks a cache object for emptiness +function isEmptyDataObject( obj ) { + var name; + for ( name in obj ) { + + // if the public data object is empty, the private is still empty + if ( name === "data" && jQuery.isEmptyObject( obj[name] ) ) { + continue; + } + if ( name !== "toJSON" ) { + return false; + } + } + + return true; +} + +function internalData( elem, name, data, pvt /* Internal Use Only */ ) { + if ( !jQuery.acceptData( elem ) ) { + return; + } + + var ret, thisCache, + internalKey = jQuery.expando, + + // We have to handle DOM nodes and JS objects differently because IE6-7 + // can't GC object references properly across the DOM-JS boundary + isNode = elem.nodeType, + + // Only DOM nodes need the global jQuery cache; JS object data is + // attached directly to the object so GC can occur automatically + cache = isNode ? jQuery.cache : elem, + + // Only defining an ID for JS objects if its cache already exists allows + // the code to shortcut on the same path as a DOM node with no cache + id = isNode ? elem[ internalKey ] : elem[ internalKey ] && internalKey; + + // Avoid doing any more work than we need to when trying to get data on an + // object that has no data at all + if ( (!id || !cache[id] || (!pvt && !cache[id].data)) && data === undefined && typeof name === "string" ) { + return; + } + + if ( !id ) { + // Only DOM nodes need a new unique ID for each element since their data + // ends up in the global cache + if ( isNode ) { + id = elem[ internalKey ] = deletedIds.pop() || jQuery.guid++; + } else { + id = internalKey; + } + } + + if ( !cache[ id ] ) { + // Avoid exposing jQuery metadata on plain JS objects when the object + // is serialized using JSON.stringify + cache[ id ] = isNode ? {} : { toJSON: jQuery.noop }; + } + + // An object can be passed to jQuery.data instead of a key/value pair; this gets + // shallow copied over onto the existing cache + if ( typeof name === "object" || typeof name === "function" ) { + if ( pvt ) { + cache[ id ] = jQuery.extend( cache[ id ], name ); + } else { + cache[ id ].data = jQuery.extend( cache[ id ].data, name ); + } + } + + thisCache = cache[ id ]; + + // jQuery data() is stored in a separate object inside the object's internal data + // cache in order to avoid key collisions between internal data and user-defined + // data. + if ( !pvt ) { + if ( !thisCache.data ) { + thisCache.data = {}; + } + + thisCache = thisCache.data; + } + + if ( data !== undefined ) { + thisCache[ jQuery.camelCase( name ) ] = data; + } + + // Check for both converted-to-camel and non-converted data property names + // If a data property was specified + if ( typeof name === "string" ) { + + // First Try to find as-is property data + ret = thisCache[ name ]; + + // Test for null|undefined property data + if ( ret == null ) { + + // Try to find the camelCased property + ret = thisCache[ jQuery.camelCase( name ) ]; + } + } else { + ret = thisCache; + } + + return ret; +} + +function internalRemoveData( elem, name, pvt ) { + if ( !jQuery.acceptData( elem ) ) { + return; + } + + var thisCache, i, + isNode = elem.nodeType, + + // See jQuery.data for more information + cache = isNode ? jQuery.cache : elem, + id = isNode ? elem[ jQuery.expando ] : jQuery.expando; + + // If there is already no cache entry for this object, there is no + // purpose in continuing + if ( !cache[ id ] ) { + return; + } + + if ( name ) { + + thisCache = pvt ? cache[ id ] : cache[ id ].data; + + if ( thisCache ) { + + // Support array or space separated string names for data keys + if ( !jQuery.isArray( name ) ) { + + // try the string as a key before any manipulation + if ( name in thisCache ) { + name = [ name ]; + } else { + + // split the camel cased version by spaces unless a key with the spaces exists + name = jQuery.camelCase( name ); + if ( name in thisCache ) { + name = [ name ]; + } else { + name = name.split(" "); + } + } + } else { + // If "name" is an array of keys... + // When data is initially created, via ("key", "val") signature, + // keys will be converted to camelCase. + // Since there is no way to tell _how_ a key was added, remove + // both plain key and camelCase key. #12786 + // This will only penalize the array argument path. + name = name.concat( jQuery.map( name, jQuery.camelCase ) ); + } + + i = name.length; + while ( i-- ) { + delete thisCache[ name[i] ]; + } + + // If there is no data left in the cache, we want to continue + // and let the cache object itself get destroyed + if ( pvt ? !isEmptyDataObject(thisCache) : !jQuery.isEmptyObject(thisCache) ) { + return; + } + } + } + + // See jQuery.data for more information + if ( !pvt ) { + delete cache[ id ].data; + + // Don't destroy the parent cache unless the internal data object + // had been the only thing left in it + if ( !isEmptyDataObject( cache[ id ] ) ) { + return; + } + } + + // Destroy the cache + if ( isNode ) { + jQuery.cleanData( [ elem ], true ); + + // Use delete when supported for expandos or `cache` is not a window per isWindow (#10080) + /* jshint eqeqeq: false */ + } else if ( support.deleteExpando || cache != cache.window ) { + /* jshint eqeqeq: true */ + delete cache[ id ]; + + // When all else fails, null + } else { + cache[ id ] = null; + } +} + +jQuery.extend({ + cache: {}, + + // The following elements (space-suffixed to avoid Object.prototype collisions) + // throw uncatchable exceptions if you attempt to set expando properties + noData: { + "applet ": true, + "embed ": true, + // ...but Flash objects (which have this classid) *can* handle expandos + "object ": "clsid:D27CDB6E-AE6D-11cf-96B8-444553540000" + }, + + hasData: function( elem ) { + elem = elem.nodeType ? jQuery.cache[ elem[jQuery.expando] ] : elem[ jQuery.expando ]; + return !!elem && !isEmptyDataObject( elem ); + }, + + data: function( elem, name, data ) { + return internalData( elem, name, data ); + }, + + removeData: function( elem, name ) { + return internalRemoveData( elem, name ); + }, + + // For internal use only. + _data: function( elem, name, data ) { + return internalData( elem, name, data, true ); + }, + + _removeData: function( elem, name ) { + return internalRemoveData( elem, name, true ); + } +}); + +jQuery.fn.extend({ + data: function( key, value ) { + var i, name, data, + elem = this[0], + attrs = elem && elem.attributes; + + // Special expections of .data basically thwart jQuery.access, + // so implement the relevant behavior ourselves + + // Gets all values + if ( key === undefined ) { + if ( this.length ) { + data = jQuery.data( elem ); + + if ( elem.nodeType === 1 && !jQuery._data( elem, "parsedAttrs" ) ) { + i = attrs.length; + while ( i-- ) { + + // Support: IE11+ + // The attrs elements can be null (#14894) + if ( attrs[ i ] ) { + name = attrs[ i ].name; + if ( name.indexOf( "data-" ) === 0 ) { + name = jQuery.camelCase( name.slice(5) ); + dataAttr( elem, name, data[ name ] ); + } + } + } + jQuery._data( elem, "parsedAttrs", true ); + } + } + + return data; + } + + // Sets multiple values + if ( typeof key === "object" ) { + return this.each(function() { + jQuery.data( this, key ); + }); + } + + return arguments.length > 1 ? + + // Sets one value + this.each(function() { + jQuery.data( this, key, value ); + }) : + + // Gets one value + // Try to fetch any internally stored data first + elem ? dataAttr( elem, key, jQuery.data( elem, key ) ) : undefined; + }, + + removeData: function( key ) { + return this.each(function() { + jQuery.removeData( this, key ); + }); + } +}); + + +jQuery.extend({ + queue: function( elem, type, data ) { + var queue; + + if ( elem ) { + type = ( type || "fx" ) + "queue"; + queue = jQuery._data( elem, type ); + + // Speed up dequeue by getting out quickly if this is just a lookup + if ( data ) { + if ( !queue || jQuery.isArray(data) ) { + queue = jQuery._data( elem, type, jQuery.makeArray(data) ); + } else { + queue.push( data ); + } + } + return queue || []; + } + }, + + dequeue: function( elem, type ) { + type = type || "fx"; + + var queue = jQuery.queue( elem, type ), + startLength = queue.length, + fn = queue.shift(), + hooks = jQuery._queueHooks( elem, type ), + next = function() { + jQuery.dequeue( elem, type ); + }; + + // If the fx queue is dequeued, always remove the progress sentinel + if ( fn === "inprogress" ) { + fn = queue.shift(); + startLength--; + } + + if ( fn ) { + + // Add a progress sentinel to prevent the fx queue from being + // automatically dequeued + if ( type === "fx" ) { + queue.unshift( "inprogress" ); + } + + // clear up the last queue stop function + delete hooks.stop; + fn.call( elem, next, hooks ); + } + + if ( !startLength && hooks ) { + hooks.empty.fire(); + } + }, + + // not intended for public consumption - generates a queueHooks object, or returns the current one + _queueHooks: function( elem, type ) { + var key = type + "queueHooks"; + return jQuery._data( elem, key ) || jQuery._data( elem, key, { + empty: jQuery.Callbacks("once memory").add(function() { + jQuery._removeData( elem, type + "queue" ); + jQuery._removeData( elem, key ); + }) + }); + } +}); + +jQuery.fn.extend({ + queue: function( type, data ) { + var setter = 2; + + if ( typeof type !== "string" ) { + data = type; + type = "fx"; + setter--; + } + + if ( arguments.length < setter ) { + return jQuery.queue( this[0], type ); + } + + return data === undefined ? + this : + this.each(function() { + var queue = jQuery.queue( this, type, data ); + + // ensure a hooks for this queue + jQuery._queueHooks( this, type ); + + if ( type === "fx" && queue[0] !== "inprogress" ) { + jQuery.dequeue( this, type ); + } + }); + }, + dequeue: function( type ) { + return this.each(function() { + jQuery.dequeue( this, type ); + }); + }, + clearQueue: function( type ) { + return this.queue( type || "fx", [] ); + }, + // Get a promise resolved when queues of a certain type + // are emptied (fx is the type by default) + promise: function( type, obj ) { + var tmp, + count = 1, + defer = jQuery.Deferred(), + elements = this, + i = this.length, + resolve = function() { + if ( !( --count ) ) { + defer.resolveWith( elements, [ elements ] ); + } + }; + + if ( typeof type !== "string" ) { + obj = type; + type = undefined; + } + type = type || "fx"; + + while ( i-- ) { + tmp = jQuery._data( elements[ i ], type + "queueHooks" ); + if ( tmp && tmp.empty ) { + count++; + tmp.empty.add( resolve ); + } + } + resolve(); + return defer.promise( obj ); + } +}); +var pnum = (/[+-]?(?:\d*\.|)\d+(?:[eE][+-]?\d+|)/).source; + +var cssExpand = [ "Top", "Right", "Bottom", "Left" ]; + +var isHidden = function( elem, el ) { + // isHidden might be called from jQuery#filter function; + // in that case, element will be second argument + elem = el || elem; + return jQuery.css( elem, "display" ) === "none" || !jQuery.contains( elem.ownerDocument, elem ); + }; + + + +// Multifunctional method to get and set values of a collection +// The value/s can optionally be executed if it's a function +var access = jQuery.access = function( elems, fn, key, value, chainable, emptyGet, raw ) { + var i = 0, + length = elems.length, + bulk = key == null; + + // Sets many values + if ( jQuery.type( key ) === "object" ) { + chainable = true; + for ( i in key ) { + jQuery.access( elems, fn, i, key[i], true, emptyGet, raw ); + } + + // Sets one value + } else if ( value !== undefined ) { + chainable = true; + + if ( !jQuery.isFunction( value ) ) { + raw = true; + } + + if ( bulk ) { + // Bulk operations run against the entire set + if ( raw ) { + fn.call( elems, value ); + fn = null; + + // ...except when executing function values + } else { + bulk = fn; + fn = function( elem, key, value ) { + return bulk.call( jQuery( elem ), value ); + }; + } + } + + if ( fn ) { + for ( ; i < length; i++ ) { + fn( elems[i], key, raw ? value : value.call( elems[i], i, fn( elems[i], key ) ) ); + } + } + } + + return chainable ? + elems : + + // Gets + bulk ? + fn.call( elems ) : + length ? fn( elems[0], key ) : emptyGet; +}; +var rcheckableType = (/^(?:checkbox|radio)$/i); + + + +(function() { + // Minified: var a,b,c + var input = document.createElement( "input" ), + div = document.createElement( "div" ), + fragment = document.createDocumentFragment(); + + // Setup + div.innerHTML = "
a"; + + // IE strips leading whitespace when .innerHTML is used + support.leadingWhitespace = div.firstChild.nodeType === 3; + + // Make sure that tbody elements aren't automatically inserted + // IE will insert them into empty tables + support.tbody = !div.getElementsByTagName( "tbody" ).length; + + // Make sure that link elements get serialized correctly by innerHTML + // This requires a wrapper element in IE + support.htmlSerialize = !!div.getElementsByTagName( "link" ).length; + + // Makes sure cloning an html5 element does not cause problems + // Where outerHTML is undefined, this still works + support.html5Clone = + document.createElement( "nav" ).cloneNode( true ).outerHTML !== "<:nav>"; + + // Check if a disconnected checkbox will retain its checked + // value of true after appended to the DOM (IE6/7) + input.type = "checkbox"; + input.checked = true; + fragment.appendChild( input ); + support.appendChecked = input.checked; + + // Make sure textarea (and checkbox) defaultValue is properly cloned + // Support: IE6-IE11+ + div.innerHTML = ""; + support.noCloneChecked = !!div.cloneNode( true ).lastChild.defaultValue; + + // #11217 - WebKit loses check when the name is after the checked attribute + fragment.appendChild( div ); + div.innerHTML = ""; + + // Support: Safari 5.1, iOS 5.1, Android 4.x, Android 2.3 + // old WebKit doesn't clone checked state correctly in fragments + support.checkClone = div.cloneNode( true ).cloneNode( true ).lastChild.checked; + + // Support: IE<9 + // Opera does not clone events (and typeof div.attachEvent === undefined). + // IE9-10 clones events bound via attachEvent, but they don't trigger with .click() + support.noCloneEvent = true; + if ( div.attachEvent ) { + div.attachEvent( "onclick", function() { + support.noCloneEvent = false; + }); + + div.cloneNode( true ).click(); + } + + // Execute the test only if not already executed in another module. + if (support.deleteExpando == null) { + // Support: IE<9 + support.deleteExpando = true; + try { + delete div.test; + } catch( e ) { + support.deleteExpando = false; + } + } +})(); + + +(function() { + var i, eventName, + div = document.createElement( "div" ); + + // Support: IE<9 (lack submit/change bubble), Firefox 23+ (lack focusin event) + for ( i in { submit: true, change: true, focusin: true }) { + eventName = "on" + i; + + if ( !(support[ i + "Bubbles" ] = eventName in window) ) { + // Beware of CSP restrictions (https://developer.mozilla.org/en/Security/CSP) + div.setAttribute( eventName, "t" ); + support[ i + "Bubbles" ] = div.attributes[ eventName ].expando === false; + } + } + + // Null elements to avoid leaks in IE. + div = null; +})(); + + +var rformElems = /^(?:input|select|textarea)$/i, + rkeyEvent = /^key/, + rmouseEvent = /^(?:mouse|pointer|contextmenu)|click/, + rfocusMorph = /^(?:focusinfocus|focusoutblur)$/, + rtypenamespace = /^([^.]*)(?:\.(.+)|)$/; + +function returnTrue() { + return true; +} + +function returnFalse() { + return false; +} + +function safeActiveElement() { + try { + return document.activeElement; + } catch ( err ) { } +} + +/* + * Helper functions for managing events -- not part of the public interface. + * Props to Dean Edwards' addEvent library for many of the ideas. + */ +jQuery.event = { + + global: {}, + + add: function( elem, types, handler, data, selector ) { + var tmp, events, t, handleObjIn, + special, eventHandle, handleObj, + handlers, type, namespaces, origType, + elemData = jQuery._data( elem ); + + // Don't attach events to noData or text/comment nodes (but allow plain objects) + if ( !elemData ) { + return; + } + + // Caller can pass in an object of custom data in lieu of the handler + if ( handler.handler ) { + handleObjIn = handler; + handler = handleObjIn.handler; + selector = handleObjIn.selector; + } + + // Make sure that the handler has a unique ID, used to find/remove it later + if ( !handler.guid ) { + handler.guid = jQuery.guid++; + } + + // Init the element's event structure and main handler, if this is the first + if ( !(events = elemData.events) ) { + events = elemData.events = {}; + } + if ( !(eventHandle = elemData.handle) ) { + eventHandle = elemData.handle = function( e ) { + // Discard the second event of a jQuery.event.trigger() and + // when an event is called after a page has unloaded + return typeof jQuery !== strundefined && (!e || jQuery.event.triggered !== e.type) ? + jQuery.event.dispatch.apply( eventHandle.elem, arguments ) : + undefined; + }; + // Add elem as a property of the handle fn to prevent a memory leak with IE non-native events + eventHandle.elem = elem; + } + + // Handle multiple events separated by a space + types = ( types || "" ).match( rnotwhite ) || [ "" ]; + t = types.length; + while ( t-- ) { + tmp = rtypenamespace.exec( types[t] ) || []; + type = origType = tmp[1]; + namespaces = ( tmp[2] || "" ).split( "." ).sort(); + + // There *must* be a type, no attaching namespace-only handlers + if ( !type ) { + continue; + } + + // If event changes its type, use the special event handlers for the changed type + special = jQuery.event.special[ type ] || {}; + + // If selector defined, determine special event api type, otherwise given type + type = ( selector ? special.delegateType : special.bindType ) || type; + + // Update special based on newly reset type + special = jQuery.event.special[ type ] || {}; + + // handleObj is passed to all event handlers + handleObj = jQuery.extend({ + type: type, + origType: origType, + data: data, + handler: handler, + guid: handler.guid, + selector: selector, + needsContext: selector && jQuery.expr.match.needsContext.test( selector ), + namespace: namespaces.join(".") + }, handleObjIn ); + + // Init the event handler queue if we're the first + if ( !(handlers = events[ type ]) ) { + handlers = events[ type ] = []; + handlers.delegateCount = 0; + + // Only use addEventListener/attachEvent if the special events handler returns false + if ( !special.setup || special.setup.call( elem, data, namespaces, eventHandle ) === false ) { + // Bind the global event handler to the element + if ( elem.addEventListener ) { + elem.addEventListener( type, eventHandle, false ); + + } else if ( elem.attachEvent ) { + elem.attachEvent( "on" + type, eventHandle ); + } + } + } + + if ( special.add ) { + special.add.call( elem, handleObj ); + + if ( !handleObj.handler.guid ) { + handleObj.handler.guid = handler.guid; + } + } + + // Add to the element's handler list, delegates in front + if ( selector ) { + handlers.splice( handlers.delegateCount++, 0, handleObj ); + } else { + handlers.push( handleObj ); + } + + // Keep track of which events have ever been used, for event optimization + jQuery.event.global[ type ] = true; + } + + // Nullify elem to prevent memory leaks in IE + elem = null; + }, + + // Detach an event or set of events from an element + remove: function( elem, types, handler, selector, mappedTypes ) { + var j, handleObj, tmp, + origCount, t, events, + special, handlers, type, + namespaces, origType, + elemData = jQuery.hasData( elem ) && jQuery._data( elem ); + + if ( !elemData || !(events = elemData.events) ) { + return; + } + + // Once for each type.namespace in types; type may be omitted + types = ( types || "" ).match( rnotwhite ) || [ "" ]; + t = types.length; + while ( t-- ) { + tmp = rtypenamespace.exec( types[t] ) || []; + type = origType = tmp[1]; + namespaces = ( tmp[2] || "" ).split( "." ).sort(); + + // Unbind all events (on this namespace, if provided) for the element + if ( !type ) { + for ( type in events ) { + jQuery.event.remove( elem, type + types[ t ], handler, selector, true ); + } + continue; + } + + special = jQuery.event.special[ type ] || {}; + type = ( selector ? special.delegateType : special.bindType ) || type; + handlers = events[ type ] || []; + tmp = tmp[2] && new RegExp( "(^|\\.)" + namespaces.join("\\.(?:.*\\.|)") + "(\\.|$)" ); + + // Remove matching events + origCount = j = handlers.length; + while ( j-- ) { + handleObj = handlers[ j ]; + + if ( ( mappedTypes || origType === handleObj.origType ) && + ( !handler || handler.guid === handleObj.guid ) && + ( !tmp || tmp.test( handleObj.namespace ) ) && + ( !selector || selector === handleObj.selector || selector === "**" && handleObj.selector ) ) { + handlers.splice( j, 1 ); + + if ( handleObj.selector ) { + handlers.delegateCount--; + } + if ( special.remove ) { + special.remove.call( elem, handleObj ); + } + } + } + + // Remove generic event handler if we removed something and no more handlers exist + // (avoids potential for endless recursion during removal of special event handlers) + if ( origCount && !handlers.length ) { + if ( !special.teardown || special.teardown.call( elem, namespaces, elemData.handle ) === false ) { + jQuery.removeEvent( elem, type, elemData.handle ); + } + + delete events[ type ]; + } + } + + // Remove the expando if it's no longer used + if ( jQuery.isEmptyObject( events ) ) { + delete elemData.handle; + + // removeData also checks for emptiness and clears the expando if empty + // so use it instead of delete + jQuery._removeData( elem, "events" ); + } + }, + + trigger: function( event, data, elem, onlyHandlers ) { + var handle, ontype, cur, + bubbleType, special, tmp, i, + eventPath = [ elem || document ], + type = hasOwn.call( event, "type" ) ? event.type : event, + namespaces = hasOwn.call( event, "namespace" ) ? event.namespace.split(".") : []; + + cur = tmp = elem = elem || document; + + // Don't do events on text and comment nodes + if ( elem.nodeType === 3 || elem.nodeType === 8 ) { + return; + } + + // focus/blur morphs to focusin/out; ensure we're not firing them right now + if ( rfocusMorph.test( type + jQuery.event.triggered ) ) { + return; + } + + if ( type.indexOf(".") >= 0 ) { + // Namespaced trigger; create a regexp to match event type in handle() + namespaces = type.split("."); + type = namespaces.shift(); + namespaces.sort(); + } + ontype = type.indexOf(":") < 0 && "on" + type; + + // Caller can pass in a jQuery.Event object, Object, or just an event type string + event = event[ jQuery.expando ] ? + event : + new jQuery.Event( type, typeof event === "object" && event ); + + // Trigger bitmask: & 1 for native handlers; & 2 for jQuery (always true) + event.isTrigger = onlyHandlers ? 2 : 3; + event.namespace = namespaces.join("."); + event.namespace_re = event.namespace ? + new RegExp( "(^|\\.)" + namespaces.join("\\.(?:.*\\.|)") + "(\\.|$)" ) : + null; + + // Clean up the event in case it is being reused + event.result = undefined; + if ( !event.target ) { + event.target = elem; + } + + // Clone any incoming data and prepend the event, creating the handler arg list + data = data == null ? + [ event ] : + jQuery.makeArray( data, [ event ] ); + + // Allow special events to draw outside the lines + special = jQuery.event.special[ type ] || {}; + if ( !onlyHandlers && special.trigger && special.trigger.apply( elem, data ) === false ) { + return; + } + + // Determine event propagation path in advance, per W3C events spec (#9951) + // Bubble up to document, then to window; watch for a global ownerDocument var (#9724) + if ( !onlyHandlers && !special.noBubble && !jQuery.isWindow( elem ) ) { + + bubbleType = special.delegateType || type; + if ( !rfocusMorph.test( bubbleType + type ) ) { + cur = cur.parentNode; + } + for ( ; cur; cur = cur.parentNode ) { + eventPath.push( cur ); + tmp = cur; + } + + // Only add window if we got to document (e.g., not plain obj or detached DOM) + if ( tmp === (elem.ownerDocument || document) ) { + eventPath.push( tmp.defaultView || tmp.parentWindow || window ); + } + } + + // Fire handlers on the event path + i = 0; + while ( (cur = eventPath[i++]) && !event.isPropagationStopped() ) { + + event.type = i > 1 ? + bubbleType : + special.bindType || type; + + // jQuery handler + handle = ( jQuery._data( cur, "events" ) || {} )[ event.type ] && jQuery._data( cur, "handle" ); + if ( handle ) { + handle.apply( cur, data ); + } + + // Native handler + handle = ontype && cur[ ontype ]; + if ( handle && handle.apply && jQuery.acceptData( cur ) ) { + event.result = handle.apply( cur, data ); + if ( event.result === false ) { + event.preventDefault(); + } + } + } + event.type = type; + + // If nobody prevented the default action, do it now + if ( !onlyHandlers && !event.isDefaultPrevented() ) { + + if ( (!special._default || special._default.apply( eventPath.pop(), data ) === false) && + jQuery.acceptData( elem ) ) { + + // Call a native DOM method on the target with the same name name as the event. + // Can't use an .isFunction() check here because IE6/7 fails that test. + // Don't do default actions on window, that's where global variables be (#6170) + if ( ontype && elem[ type ] && !jQuery.isWindow( elem ) ) { + + // Don't re-trigger an onFOO event when we call its FOO() method + tmp = elem[ ontype ]; + + if ( tmp ) { + elem[ ontype ] = null; + } + + // Prevent re-triggering of the same event, since we already bubbled it above + jQuery.event.triggered = type; + try { + elem[ type ](); + } catch ( e ) { + // IE<9 dies on focus/blur to hidden element (#1486,#12518) + // only reproducible on winXP IE8 native, not IE9 in IE8 mode + } + jQuery.event.triggered = undefined; + + if ( tmp ) { + elem[ ontype ] = tmp; + } + } + } + } + + return event.result; + }, + + dispatch: function( event ) { + + // Make a writable jQuery.Event from the native event object + event = jQuery.event.fix( event ); + + var i, ret, handleObj, matched, j, + handlerQueue = [], + args = slice.call( arguments ), + handlers = ( jQuery._data( this, "events" ) || {} )[ event.type ] || [], + special = jQuery.event.special[ event.type ] || {}; + + // Use the fix-ed jQuery.Event rather than the (read-only) native event + args[0] = event; + event.delegateTarget = this; + + // Call the preDispatch hook for the mapped type, and let it bail if desired + if ( special.preDispatch && special.preDispatch.call( this, event ) === false ) { + return; + } + + // Determine handlers + handlerQueue = jQuery.event.handlers.call( this, event, handlers ); + + // Run delegates first; they may want to stop propagation beneath us + i = 0; + while ( (matched = handlerQueue[ i++ ]) && !event.isPropagationStopped() ) { + event.currentTarget = matched.elem; + + j = 0; + while ( (handleObj = matched.handlers[ j++ ]) && !event.isImmediatePropagationStopped() ) { + + // Triggered event must either 1) have no namespace, or + // 2) have namespace(s) a subset or equal to those in the bound event (both can have no namespace). + if ( !event.namespace_re || event.namespace_re.test( handleObj.namespace ) ) { + + event.handleObj = handleObj; + event.data = handleObj.data; + + ret = ( (jQuery.event.special[ handleObj.origType ] || {}).handle || handleObj.handler ) + .apply( matched.elem, args ); + + if ( ret !== undefined ) { + if ( (event.result = ret) === false ) { + event.preventDefault(); + event.stopPropagation(); + } + } + } + } + } + + // Call the postDispatch hook for the mapped type + if ( special.postDispatch ) { + special.postDispatch.call( this, event ); + } + + return event.result; + }, + + handlers: function( event, handlers ) { + var sel, handleObj, matches, i, + handlerQueue = [], + delegateCount = handlers.delegateCount, + cur = event.target; + + // Find delegate handlers + // Black-hole SVG instance trees (#13180) + // Avoid non-left-click bubbling in Firefox (#3861) + if ( delegateCount && cur.nodeType && (!event.button || event.type !== "click") ) { + + /* jshint eqeqeq: false */ + for ( ; cur != this; cur = cur.parentNode || this ) { + /* jshint eqeqeq: true */ + + // Don't check non-elements (#13208) + // Don't process clicks on disabled elements (#6911, #8165, #11382, #11764) + if ( cur.nodeType === 1 && (cur.disabled !== true || event.type !== "click") ) { + matches = []; + for ( i = 0; i < delegateCount; i++ ) { + handleObj = handlers[ i ]; + + // Don't conflict with Object.prototype properties (#13203) + sel = handleObj.selector + " "; + + if ( matches[ sel ] === undefined ) { + matches[ sel ] = handleObj.needsContext ? + jQuery( sel, this ).index( cur ) >= 0 : + jQuery.find( sel, this, null, [ cur ] ).length; + } + if ( matches[ sel ] ) { + matches.push( handleObj ); + } + } + if ( matches.length ) { + handlerQueue.push({ elem: cur, handlers: matches }); + } + } + } + } + + // Add the remaining (directly-bound) handlers + if ( delegateCount < handlers.length ) { + handlerQueue.push({ elem: this, handlers: handlers.slice( delegateCount ) }); + } + + return handlerQueue; + }, + + fix: function( event ) { + if ( event[ jQuery.expando ] ) { + return event; + } + + // Create a writable copy of the event object and normalize some properties + var i, prop, copy, + type = event.type, + originalEvent = event, + fixHook = this.fixHooks[ type ]; + + if ( !fixHook ) { + this.fixHooks[ type ] = fixHook = + rmouseEvent.test( type ) ? this.mouseHooks : + rkeyEvent.test( type ) ? this.keyHooks : + {}; + } + copy = fixHook.props ? this.props.concat( fixHook.props ) : this.props; + + event = new jQuery.Event( originalEvent ); + + i = copy.length; + while ( i-- ) { + prop = copy[ i ]; + event[ prop ] = originalEvent[ prop ]; + } + + // Support: IE<9 + // Fix target property (#1925) + if ( !event.target ) { + event.target = originalEvent.srcElement || document; + } + + // Support: Chrome 23+, Safari? + // Target should not be a text node (#504, #13143) + if ( event.target.nodeType === 3 ) { + event.target = event.target.parentNode; + } + + // Support: IE<9 + // For mouse/key events, metaKey==false if it's undefined (#3368, #11328) + event.metaKey = !!event.metaKey; + + return fixHook.filter ? fixHook.filter( event, originalEvent ) : event; + }, + + // Includes some event props shared by KeyEvent and MouseEvent + props: "altKey bubbles cancelable ctrlKey currentTarget eventPhase metaKey relatedTarget shiftKey target timeStamp view which".split(" "), + + fixHooks: {}, + + keyHooks: { + props: "char charCode key keyCode".split(" "), + filter: function( event, original ) { + + // Add which for key events + if ( event.which == null ) { + event.which = original.charCode != null ? original.charCode : original.keyCode; + } + + return event; + } + }, + + mouseHooks: { + props: "button buttons clientX clientY fromElement offsetX offsetY pageX pageY screenX screenY toElement".split(" "), + filter: function( event, original ) { + var body, eventDoc, doc, + button = original.button, + fromElement = original.fromElement; + + // Calculate pageX/Y if missing and clientX/Y available + if ( event.pageX == null && original.clientX != null ) { + eventDoc = event.target.ownerDocument || document; + doc = eventDoc.documentElement; + body = eventDoc.body; + + event.pageX = original.clientX + ( doc && doc.scrollLeft || body && body.scrollLeft || 0 ) - ( doc && doc.clientLeft || body && body.clientLeft || 0 ); + event.pageY = original.clientY + ( doc && doc.scrollTop || body && body.scrollTop || 0 ) - ( doc && doc.clientTop || body && body.clientTop || 0 ); + } + + // Add relatedTarget, if necessary + if ( !event.relatedTarget && fromElement ) { + event.relatedTarget = fromElement === event.target ? original.toElement : fromElement; + } + + // Add which for click: 1 === left; 2 === middle; 3 === right + // Note: button is not normalized, so don't use it + if ( !event.which && button !== undefined ) { + event.which = ( button & 1 ? 1 : ( button & 2 ? 3 : ( button & 4 ? 2 : 0 ) ) ); + } + + return event; + } + }, + + special: { + load: { + // Prevent triggered image.load events from bubbling to window.load + noBubble: true + }, + focus: { + // Fire native event if possible so blur/focus sequence is correct + trigger: function() { + if ( this !== safeActiveElement() && this.focus ) { + try { + this.focus(); + return false; + } catch ( e ) { + // Support: IE<9 + // If we error on focus to hidden element (#1486, #12518), + // let .trigger() run the handlers + } + } + }, + delegateType: "focusin" + }, + blur: { + trigger: function() { + if ( this === safeActiveElement() && this.blur ) { + this.blur(); + return false; + } + }, + delegateType: "focusout" + }, + click: { + // For checkbox, fire native event so checked state will be right + trigger: function() { + if ( jQuery.nodeName( this, "input" ) && this.type === "checkbox" && this.click ) { + this.click(); + return false; + } + }, + + // For cross-browser consistency, don't fire native .click() on links + _default: function( event ) { + return jQuery.nodeName( event.target, "a" ); + } + }, + + beforeunload: { + postDispatch: function( event ) { + + // Support: Firefox 20+ + // Firefox doesn't alert if the returnValue field is not set. + if ( event.result !== undefined && event.originalEvent ) { + event.originalEvent.returnValue = event.result; + } + } + } + }, + + simulate: function( type, elem, event, bubble ) { + // Piggyback on a donor event to simulate a different one. + // Fake originalEvent to avoid donor's stopPropagation, but if the + // simulated event prevents default then we do the same on the donor. + var e = jQuery.extend( + new jQuery.Event(), + event, + { + type: type, + isSimulated: true, + originalEvent: {} + } + ); + if ( bubble ) { + jQuery.event.trigger( e, null, elem ); + } else { + jQuery.event.dispatch.call( elem, e ); + } + if ( e.isDefaultPrevented() ) { + event.preventDefault(); + } + } +}; + +jQuery.removeEvent = document.removeEventListener ? + function( elem, type, handle ) { + if ( elem.removeEventListener ) { + elem.removeEventListener( type, handle, false ); + } + } : + function( elem, type, handle ) { + var name = "on" + type; + + if ( elem.detachEvent ) { + + // #8545, #7054, preventing memory leaks for custom events in IE6-8 + // detachEvent needed property on element, by name of that event, to properly expose it to GC + if ( typeof elem[ name ] === strundefined ) { + elem[ name ] = null; + } + + elem.detachEvent( name, handle ); + } + }; + +jQuery.Event = function( src, props ) { + // Allow instantiation without the 'new' keyword + if ( !(this instanceof jQuery.Event) ) { + return new jQuery.Event( src, props ); + } + + // Event object + if ( src && src.type ) { + this.originalEvent = src; + this.type = src.type; + + // Events bubbling up the document may have been marked as prevented + // by a handler lower down the tree; reflect the correct value. + this.isDefaultPrevented = src.defaultPrevented || + src.defaultPrevented === undefined && + // Support: IE < 9, Android < 4.0 + src.returnValue === false ? + returnTrue : + returnFalse; + + // Event type + } else { + this.type = src; + } + + // Put explicitly provided properties onto the event object + if ( props ) { + jQuery.extend( this, props ); + } + + // Create a timestamp if incoming event doesn't have one + this.timeStamp = src && src.timeStamp || jQuery.now(); + + // Mark it as fixed + this[ jQuery.expando ] = true; +}; + +// jQuery.Event is based on DOM3 Events as specified by the ECMAScript Language Binding +// http://www.w3.org/TR/2003/WD-DOM-Level-3-Events-20030331/ecma-script-binding.html +jQuery.Event.prototype = { + isDefaultPrevented: returnFalse, + isPropagationStopped: returnFalse, + isImmediatePropagationStopped: returnFalse, + + preventDefault: function() { + var e = this.originalEvent; + + this.isDefaultPrevented = returnTrue; + if ( !e ) { + return; + } + + // If preventDefault exists, run it on the original event + if ( e.preventDefault ) { + e.preventDefault(); + + // Support: IE + // Otherwise set the returnValue property of the original event to false + } else { + e.returnValue = false; + } + }, + stopPropagation: function() { + var e = this.originalEvent; + + this.isPropagationStopped = returnTrue; + if ( !e ) { + return; + } + // If stopPropagation exists, run it on the original event + if ( e.stopPropagation ) { + e.stopPropagation(); + } + + // Support: IE + // Set the cancelBubble property of the original event to true + e.cancelBubble = true; + }, + stopImmediatePropagation: function() { + var e = this.originalEvent; + + this.isImmediatePropagationStopped = returnTrue; + + if ( e && e.stopImmediatePropagation ) { + e.stopImmediatePropagation(); + } + + this.stopPropagation(); + } +}; + +// Create mouseenter/leave events using mouseover/out and event-time checks +jQuery.each({ + mouseenter: "mouseover", + mouseleave: "mouseout", + pointerenter: "pointerover", + pointerleave: "pointerout" +}, function( orig, fix ) { + jQuery.event.special[ orig ] = { + delegateType: fix, + bindType: fix, + + handle: function( event ) { + var ret, + target = this, + related = event.relatedTarget, + handleObj = event.handleObj; + + // For mousenter/leave call the handler if related is outside the target. + // NB: No relatedTarget if the mouse left/entered the browser window + if ( !related || (related !== target && !jQuery.contains( target, related )) ) { + event.type = handleObj.origType; + ret = handleObj.handler.apply( this, arguments ); + event.type = fix; + } + return ret; + } + }; +}); + +// IE submit delegation +if ( !support.submitBubbles ) { + + jQuery.event.special.submit = { + setup: function() { + // Only need this for delegated form submit events + if ( jQuery.nodeName( this, "form" ) ) { + return false; + } + + // Lazy-add a submit handler when a descendant form may potentially be submitted + jQuery.event.add( this, "click._submit keypress._submit", function( e ) { + // Node name check avoids a VML-related crash in IE (#9807) + var elem = e.target, + form = jQuery.nodeName( elem, "input" ) || jQuery.nodeName( elem, "button" ) ? elem.form : undefined; + if ( form && !jQuery._data( form, "submitBubbles" ) ) { + jQuery.event.add( form, "submit._submit", function( event ) { + event._submit_bubble = true; + }); + jQuery._data( form, "submitBubbles", true ); + } + }); + // return undefined since we don't need an event listener + }, + + postDispatch: function( event ) { + // If form was submitted by the user, bubble the event up the tree + if ( event._submit_bubble ) { + delete event._submit_bubble; + if ( this.parentNode && !event.isTrigger ) { + jQuery.event.simulate( "submit", this.parentNode, event, true ); + } + } + }, + + teardown: function() { + // Only need this for delegated form submit events + if ( jQuery.nodeName( this, "form" ) ) { + return false; + } + + // Remove delegated handlers; cleanData eventually reaps submit handlers attached above + jQuery.event.remove( this, "._submit" ); + } + }; +} + +// IE change delegation and checkbox/radio fix +if ( !support.changeBubbles ) { + + jQuery.event.special.change = { + + setup: function() { + + if ( rformElems.test( this.nodeName ) ) { + // IE doesn't fire change on a check/radio until blur; trigger it on click + // after a propertychange. Eat the blur-change in special.change.handle. + // This still fires onchange a second time for check/radio after blur. + if ( this.type === "checkbox" || this.type === "radio" ) { + jQuery.event.add( this, "propertychange._change", function( event ) { + if ( event.originalEvent.propertyName === "checked" ) { + this._just_changed = true; + } + }); + jQuery.event.add( this, "click._change", function( event ) { + if ( this._just_changed && !event.isTrigger ) { + this._just_changed = false; + } + // Allow triggered, simulated change events (#11500) + jQuery.event.simulate( "change", this, event, true ); + }); + } + return false; + } + // Delegated event; lazy-add a change handler on descendant inputs + jQuery.event.add( this, "beforeactivate._change", function( e ) { + var elem = e.target; + + if ( rformElems.test( elem.nodeName ) && !jQuery._data( elem, "changeBubbles" ) ) { + jQuery.event.add( elem, "change._change", function( event ) { + if ( this.parentNode && !event.isSimulated && !event.isTrigger ) { + jQuery.event.simulate( "change", this.parentNode, event, true ); + } + }); + jQuery._data( elem, "changeBubbles", true ); + } + }); + }, + + handle: function( event ) { + var elem = event.target; + + // Swallow native change events from checkbox/radio, we already triggered them above + if ( this !== elem || event.isSimulated || event.isTrigger || (elem.type !== "radio" && elem.type !== "checkbox") ) { + return event.handleObj.handler.apply( this, arguments ); + } + }, + + teardown: function() { + jQuery.event.remove( this, "._change" ); + + return !rformElems.test( this.nodeName ); + } + }; +} + +// Create "bubbling" focus and blur events +if ( !support.focusinBubbles ) { + jQuery.each({ focus: "focusin", blur: "focusout" }, function( orig, fix ) { + + // Attach a single capturing handler on the document while someone wants focusin/focusout + var handler = function( event ) { + jQuery.event.simulate( fix, event.target, jQuery.event.fix( event ), true ); + }; + + jQuery.event.special[ fix ] = { + setup: function() { + var doc = this.ownerDocument || this, + attaches = jQuery._data( doc, fix ); + + if ( !attaches ) { + doc.addEventListener( orig, handler, true ); + } + jQuery._data( doc, fix, ( attaches || 0 ) + 1 ); + }, + teardown: function() { + var doc = this.ownerDocument || this, + attaches = jQuery._data( doc, fix ) - 1; + + if ( !attaches ) { + doc.removeEventListener( orig, handler, true ); + jQuery._removeData( doc, fix ); + } else { + jQuery._data( doc, fix, attaches ); + } + } + }; + }); +} + +jQuery.fn.extend({ + + on: function( types, selector, data, fn, /*INTERNAL*/ one ) { + var type, origFn; + + // Types can be a map of types/handlers + if ( typeof types === "object" ) { + // ( types-Object, selector, data ) + if ( typeof selector !== "string" ) { + // ( types-Object, data ) + data = data || selector; + selector = undefined; + } + for ( type in types ) { + this.on( type, selector, data, types[ type ], one ); + } + return this; + } + + if ( data == null && fn == null ) { + // ( types, fn ) + fn = selector; + data = selector = undefined; + } else if ( fn == null ) { + if ( typeof selector === "string" ) { + // ( types, selector, fn ) + fn = data; + data = undefined; + } else { + // ( types, data, fn ) + fn = data; + data = selector; + selector = undefined; + } + } + if ( fn === false ) { + fn = returnFalse; + } else if ( !fn ) { + return this; + } + + if ( one === 1 ) { + origFn = fn; + fn = function( event ) { + // Can use an empty set, since event contains the info + jQuery().off( event ); + return origFn.apply( this, arguments ); + }; + // Use same guid so caller can remove using origFn + fn.guid = origFn.guid || ( origFn.guid = jQuery.guid++ ); + } + return this.each( function() { + jQuery.event.add( this, types, fn, data, selector ); + }); + }, + one: function( types, selector, data, fn ) { + return this.on( types, selector, data, fn, 1 ); + }, + off: function( types, selector, fn ) { + var handleObj, type; + if ( types && types.preventDefault && types.handleObj ) { + // ( event ) dispatched jQuery.Event + handleObj = types.handleObj; + jQuery( types.delegateTarget ).off( + handleObj.namespace ? handleObj.origType + "." + handleObj.namespace : handleObj.origType, + handleObj.selector, + handleObj.handler + ); + return this; + } + if ( typeof types === "object" ) { + // ( types-object [, selector] ) + for ( type in types ) { + this.off( type, selector, types[ type ] ); + } + return this; + } + if ( selector === false || typeof selector === "function" ) { + // ( types [, fn] ) + fn = selector; + selector = undefined; + } + if ( fn === false ) { + fn = returnFalse; + } + return this.each(function() { + jQuery.event.remove( this, types, fn, selector ); + }); + }, + + trigger: function( type, data ) { + return this.each(function() { + jQuery.event.trigger( type, data, this ); + }); + }, + triggerHandler: function( type, data ) { + var elem = this[0]; + if ( elem ) { + return jQuery.event.trigger( type, data, elem, true ); + } + } +}); + + +function createSafeFragment( document ) { + var list = nodeNames.split( "|" ), + safeFrag = document.createDocumentFragment(); + + if ( safeFrag.createElement ) { + while ( list.length ) { + safeFrag.createElement( + list.pop() + ); + } + } + return safeFrag; +} + +var nodeNames = "abbr|article|aside|audio|bdi|canvas|data|datalist|details|figcaption|figure|footer|" + + "header|hgroup|mark|meter|nav|output|progress|section|summary|time|video", + rinlinejQuery = / jQuery\d+="(?:null|\d+)"/g, + rnoshimcache = new RegExp("<(?:" + nodeNames + ")[\\s/>]", "i"), + rleadingWhitespace = /^\s+/, + rxhtmlTag = /<(?!area|br|col|embed|hr|img|input|link|meta|param)(([\w:]+)[^>]*)\/>/gi, + rtagName = /<([\w:]+)/, + rtbody = /\s*$/g, + + // We have to close these tags to support XHTML (#13200) + wrapMap = { + option: [ 1, "" ], + legend: [ 1, "
", "
" ], + area: [ 1, "", "" ], + param: [ 1, "", "" ], + thead: [ 1, "", "
" ], + tr: [ 2, "", "
" ], + col: [ 2, "", "
" ], + td: [ 3, "", "
" ], + + // IE6-8 can't serialize link, script, style, or any html5 (NoScope) tags, + // unless wrapped in a div with non-breaking characters in front of it. + _default: support.htmlSerialize ? [ 0, "", "" ] : [ 1, "X
", "
" ] + }, + safeFragment = createSafeFragment( document ), + fragmentDiv = safeFragment.appendChild( document.createElement("div") ); + +wrapMap.optgroup = wrapMap.option; +wrapMap.tbody = wrapMap.tfoot = wrapMap.colgroup = wrapMap.caption = wrapMap.thead; +wrapMap.th = wrapMap.td; + +function getAll( context, tag ) { + var elems, elem, + i = 0, + found = typeof context.getElementsByTagName !== strundefined ? context.getElementsByTagName( tag || "*" ) : + typeof context.querySelectorAll !== strundefined ? context.querySelectorAll( tag || "*" ) : + undefined; + + if ( !found ) { + for ( found = [], elems = context.childNodes || context; (elem = elems[i]) != null; i++ ) { + if ( !tag || jQuery.nodeName( elem, tag ) ) { + found.push( elem ); + } else { + jQuery.merge( found, getAll( elem, tag ) ); + } + } + } + + return tag === undefined || tag && jQuery.nodeName( context, tag ) ? + jQuery.merge( [ context ], found ) : + found; +} + +// Used in buildFragment, fixes the defaultChecked property +function fixDefaultChecked( elem ) { + if ( rcheckableType.test( elem.type ) ) { + elem.defaultChecked = elem.checked; + } +} + +// Support: IE<8 +// Manipulating tables requires a tbody +function manipulationTarget( elem, content ) { + return jQuery.nodeName( elem, "table" ) && + jQuery.nodeName( content.nodeType !== 11 ? content : content.firstChild, "tr" ) ? + + elem.getElementsByTagName("tbody")[0] || + elem.appendChild( elem.ownerDocument.createElement("tbody") ) : + elem; +} + +// Replace/restore the type attribute of script elements for safe DOM manipulation +function disableScript( elem ) { + elem.type = (jQuery.find.attr( elem, "type" ) !== null) + "/" + elem.type; + return elem; +} +function restoreScript( elem ) { + var match = rscriptTypeMasked.exec( elem.type ); + if ( match ) { + elem.type = match[1]; + } else { + elem.removeAttribute("type"); + } + return elem; +} + +// Mark scripts as having already been evaluated +function setGlobalEval( elems, refElements ) { + var elem, + i = 0; + for ( ; (elem = elems[i]) != null; i++ ) { + jQuery._data( elem, "globalEval", !refElements || jQuery._data( refElements[i], "globalEval" ) ); + } +} + +function cloneCopyEvent( src, dest ) { + + if ( dest.nodeType !== 1 || !jQuery.hasData( src ) ) { + return; + } + + var type, i, l, + oldData = jQuery._data( src ), + curData = jQuery._data( dest, oldData ), + events = oldData.events; + + if ( events ) { + delete curData.handle; + curData.events = {}; + + for ( type in events ) { + for ( i = 0, l = events[ type ].length; i < l; i++ ) { + jQuery.event.add( dest, type, events[ type ][ i ] ); + } + } + } + + // make the cloned public data object a copy from the original + if ( curData.data ) { + curData.data = jQuery.extend( {}, curData.data ); + } +} + +function fixCloneNodeIssues( src, dest ) { + var nodeName, e, data; + + // We do not need to do anything for non-Elements + if ( dest.nodeType !== 1 ) { + return; + } + + nodeName = dest.nodeName.toLowerCase(); + + // IE6-8 copies events bound via attachEvent when using cloneNode. + if ( !support.noCloneEvent && dest[ jQuery.expando ] ) { + data = jQuery._data( dest ); + + for ( e in data.events ) { + jQuery.removeEvent( dest, e, data.handle ); + } + + // Event data gets referenced instead of copied if the expando gets copied too + dest.removeAttribute( jQuery.expando ); + } + + // IE blanks contents when cloning scripts, and tries to evaluate newly-set text + if ( nodeName === "script" && dest.text !== src.text ) { + disableScript( dest ).text = src.text; + restoreScript( dest ); + + // IE6-10 improperly clones children of object elements using classid. + // IE10 throws NoModificationAllowedError if parent is null, #12132. + } else if ( nodeName === "object" ) { + if ( dest.parentNode ) { + dest.outerHTML = src.outerHTML; + } + + // This path appears unavoidable for IE9. When cloning an object + // element in IE9, the outerHTML strategy above is not sufficient. + // If the src has innerHTML and the destination does not, + // copy the src.innerHTML into the dest.innerHTML. #10324 + if ( support.html5Clone && ( src.innerHTML && !jQuery.trim(dest.innerHTML) ) ) { + dest.innerHTML = src.innerHTML; + } + + } else if ( nodeName === "input" && rcheckableType.test( src.type ) ) { + // IE6-8 fails to persist the checked state of a cloned checkbox + // or radio button. Worse, IE6-7 fail to give the cloned element + // a checked appearance if the defaultChecked value isn't also set + + dest.defaultChecked = dest.checked = src.checked; + + // IE6-7 get confused and end up setting the value of a cloned + // checkbox/radio button to an empty string instead of "on" + if ( dest.value !== src.value ) { + dest.value = src.value; + } + + // IE6-8 fails to return the selected option to the default selected + // state when cloning options + } else if ( nodeName === "option" ) { + dest.defaultSelected = dest.selected = src.defaultSelected; + + // IE6-8 fails to set the defaultValue to the correct value when + // cloning other types of input fields + } else if ( nodeName === "input" || nodeName === "textarea" ) { + dest.defaultValue = src.defaultValue; + } +} + +jQuery.extend({ + clone: function( elem, dataAndEvents, deepDataAndEvents ) { + var destElements, node, clone, i, srcElements, + inPage = jQuery.contains( elem.ownerDocument, elem ); + + if ( support.html5Clone || jQuery.isXMLDoc(elem) || !rnoshimcache.test( "<" + elem.nodeName + ">" ) ) { + clone = elem.cloneNode( true ); + + // IE<=8 does not properly clone detached, unknown element nodes + } else { + fragmentDiv.innerHTML = elem.outerHTML; + fragmentDiv.removeChild( clone = fragmentDiv.firstChild ); + } + + if ( (!support.noCloneEvent || !support.noCloneChecked) && + (elem.nodeType === 1 || elem.nodeType === 11) && !jQuery.isXMLDoc(elem) ) { + + // We eschew Sizzle here for performance reasons: http://jsperf.com/getall-vs-sizzle/2 + destElements = getAll( clone ); + srcElements = getAll( elem ); + + // Fix all IE cloning issues + for ( i = 0; (node = srcElements[i]) != null; ++i ) { + // Ensure that the destination node is not null; Fixes #9587 + if ( destElements[i] ) { + fixCloneNodeIssues( node, destElements[i] ); + } + } + } + + // Copy the events from the original to the clone + if ( dataAndEvents ) { + if ( deepDataAndEvents ) { + srcElements = srcElements || getAll( elem ); + destElements = destElements || getAll( clone ); + + for ( i = 0; (node = srcElements[i]) != null; i++ ) { + cloneCopyEvent( node, destElements[i] ); + } + } else { + cloneCopyEvent( elem, clone ); + } + } + + // Preserve script evaluation history + destElements = getAll( clone, "script" ); + if ( destElements.length > 0 ) { + setGlobalEval( destElements, !inPage && getAll( elem, "script" ) ); + } + + destElements = srcElements = node = null; + + // Return the cloned set + return clone; + }, + + buildFragment: function( elems, context, scripts, selection ) { + var j, elem, contains, + tmp, tag, tbody, wrap, + l = elems.length, + + // Ensure a safe fragment + safe = createSafeFragment( context ), + + nodes = [], + i = 0; + + for ( ; i < l; i++ ) { + elem = elems[ i ]; + + if ( elem || elem === 0 ) { + + // Add nodes directly + if ( jQuery.type( elem ) === "object" ) { + jQuery.merge( nodes, elem.nodeType ? [ elem ] : elem ); + + // Convert non-html into a text node + } else if ( !rhtml.test( elem ) ) { + nodes.push( context.createTextNode( elem ) ); + + // Convert html into DOM nodes + } else { + tmp = tmp || safe.appendChild( context.createElement("div") ); + + // Deserialize a standard representation + tag = (rtagName.exec( elem ) || [ "", "" ])[ 1 ].toLowerCase(); + wrap = wrapMap[ tag ] || wrapMap._default; + + tmp.innerHTML = wrap[1] + elem.replace( rxhtmlTag, "<$1>" ) + wrap[2]; + + // Descend through wrappers to the right content + j = wrap[0]; + while ( j-- ) { + tmp = tmp.lastChild; + } + + // Manually add leading whitespace removed by IE + if ( !support.leadingWhitespace && rleadingWhitespace.test( elem ) ) { + nodes.push( context.createTextNode( rleadingWhitespace.exec( elem )[0] ) ); + } + + // Remove IE's autoinserted from table fragments + if ( !support.tbody ) { + + // String was a , *may* have spurious + elem = tag === "table" && !rtbody.test( elem ) ? + tmp.firstChild : + + // String was a bare or + wrap[1] === "
" && !rtbody.test( elem ) ? + tmp : + 0; + + j = elem && elem.childNodes.length; + while ( j-- ) { + if ( jQuery.nodeName( (tbody = elem.childNodes[j]), "tbody" ) && !tbody.childNodes.length ) { + elem.removeChild( tbody ); + } + } + } + + jQuery.merge( nodes, tmp.childNodes ); + + // Fix #12392 for WebKit and IE > 9 + tmp.textContent = ""; + + // Fix #12392 for oldIE + while ( tmp.firstChild ) { + tmp.removeChild( tmp.firstChild ); + } + + // Remember the top-level container for proper cleanup + tmp = safe.lastChild; + } + } + } + + // Fix #11356: Clear elements from fragment + if ( tmp ) { + safe.removeChild( tmp ); + } + + // Reset defaultChecked for any radios and checkboxes + // about to be appended to the DOM in IE 6/7 (#8060) + if ( !support.appendChecked ) { + jQuery.grep( getAll( nodes, "input" ), fixDefaultChecked ); + } + + i = 0; + while ( (elem = nodes[ i++ ]) ) { + + // #4087 - If origin and destination elements are the same, and this is + // that element, do not do anything + if ( selection && jQuery.inArray( elem, selection ) !== -1 ) { + continue; + } + + contains = jQuery.contains( elem.ownerDocument, elem ); + + // Append to fragment + tmp = getAll( safe.appendChild( elem ), "script" ); + + // Preserve script evaluation history + if ( contains ) { + setGlobalEval( tmp ); + } + + // Capture executables + if ( scripts ) { + j = 0; + while ( (elem = tmp[ j++ ]) ) { + if ( rscriptType.test( elem.type || "" ) ) { + scripts.push( elem ); + } + } + } + } + + tmp = null; + + return safe; + }, + + cleanData: function( elems, /* internal */ acceptData ) { + var elem, type, id, data, + i = 0, + internalKey = jQuery.expando, + cache = jQuery.cache, + deleteExpando = support.deleteExpando, + special = jQuery.event.special; + + for ( ; (elem = elems[i]) != null; i++ ) { + if ( acceptData || jQuery.acceptData( elem ) ) { + + id = elem[ internalKey ]; + data = id && cache[ id ]; + + if ( data ) { + if ( data.events ) { + for ( type in data.events ) { + if ( special[ type ] ) { + jQuery.event.remove( elem, type ); + + // This is a shortcut to avoid jQuery.event.remove's overhead + } else { + jQuery.removeEvent( elem, type, data.handle ); + } + } + } + + // Remove cache only if it was not already removed by jQuery.event.remove + if ( cache[ id ] ) { + + delete cache[ id ]; + + // IE does not allow us to delete expando properties from nodes, + // nor does it have a removeAttribute function on Document nodes; + // we must handle all of these cases + if ( deleteExpando ) { + delete elem[ internalKey ]; + + } else if ( typeof elem.removeAttribute !== strundefined ) { + elem.removeAttribute( internalKey ); + + } else { + elem[ internalKey ] = null; + } + + deletedIds.push( id ); + } + } + } + } + } +}); + +jQuery.fn.extend({ + text: function( value ) { + return access( this, function( value ) { + return value === undefined ? + jQuery.text( this ) : + this.empty().append( ( this[0] && this[0].ownerDocument || document ).createTextNode( value ) ); + }, null, value, arguments.length ); + }, + + append: function() { + return this.domManip( arguments, function( elem ) { + if ( this.nodeType === 1 || this.nodeType === 11 || this.nodeType === 9 ) { + var target = manipulationTarget( this, elem ); + target.appendChild( elem ); + } + }); + }, + + prepend: function() { + return this.domManip( arguments, function( elem ) { + if ( this.nodeType === 1 || this.nodeType === 11 || this.nodeType === 9 ) { + var target = manipulationTarget( this, elem ); + target.insertBefore( elem, target.firstChild ); + } + }); + }, + + before: function() { + return this.domManip( arguments, function( elem ) { + if ( this.parentNode ) { + this.parentNode.insertBefore( elem, this ); + } + }); + }, + + after: function() { + return this.domManip( arguments, function( elem ) { + if ( this.parentNode ) { + this.parentNode.insertBefore( elem, this.nextSibling ); + } + }); + }, + + remove: function( selector, keepData /* Internal Use Only */ ) { + var elem, + elems = selector ? jQuery.filter( selector, this ) : this, + i = 0; + + for ( ; (elem = elems[i]) != null; i++ ) { + + if ( !keepData && elem.nodeType === 1 ) { + jQuery.cleanData( getAll( elem ) ); + } + + if ( elem.parentNode ) { + if ( keepData && jQuery.contains( elem.ownerDocument, elem ) ) { + setGlobalEval( getAll( elem, "script" ) ); + } + elem.parentNode.removeChild( elem ); + } + } + + return this; + }, + + empty: function() { + var elem, + i = 0; + + for ( ; (elem = this[i]) != null; i++ ) { + // Remove element nodes and prevent memory leaks + if ( elem.nodeType === 1 ) { + jQuery.cleanData( getAll( elem, false ) ); + } + + // Remove any remaining nodes + while ( elem.firstChild ) { + elem.removeChild( elem.firstChild ); + } + + // If this is a select, ensure that it displays empty (#12336) + // Support: IE<9 + if ( elem.options && jQuery.nodeName( elem, "select" ) ) { + elem.options.length = 0; + } + } + + return this; + }, + + clone: function( dataAndEvents, deepDataAndEvents ) { + dataAndEvents = dataAndEvents == null ? false : dataAndEvents; + deepDataAndEvents = deepDataAndEvents == null ? dataAndEvents : deepDataAndEvents; + + return this.map(function() { + return jQuery.clone( this, dataAndEvents, deepDataAndEvents ); + }); + }, + + html: function( value ) { + return access( this, function( value ) { + var elem = this[ 0 ] || {}, + i = 0, + l = this.length; + + if ( value === undefined ) { + return elem.nodeType === 1 ? + elem.innerHTML.replace( rinlinejQuery, "" ) : + undefined; + } + + // See if we can take a shortcut and just use innerHTML + if ( typeof value === "string" && !rnoInnerhtml.test( value ) && + ( support.htmlSerialize || !rnoshimcache.test( value ) ) && + ( support.leadingWhitespace || !rleadingWhitespace.test( value ) ) && + !wrapMap[ (rtagName.exec( value ) || [ "", "" ])[ 1 ].toLowerCase() ] ) { + + value = value.replace( rxhtmlTag, "<$1>" ); + + try { + for (; i < l; i++ ) { + // Remove element nodes and prevent memory leaks + elem = this[i] || {}; + if ( elem.nodeType === 1 ) { + jQuery.cleanData( getAll( elem, false ) ); + elem.innerHTML = value; + } + } + + elem = 0; + + // If using innerHTML throws an exception, use the fallback method + } catch(e) {} + } + + if ( elem ) { + this.empty().append( value ); + } + }, null, value, arguments.length ); + }, + + replaceWith: function() { + var arg = arguments[ 0 ]; + + // Make the changes, replacing each context element with the new content + this.domManip( arguments, function( elem ) { + arg = this.parentNode; + + jQuery.cleanData( getAll( this ) ); + + if ( arg ) { + arg.replaceChild( elem, this ); + } + }); + + // Force removal if there was no new content (e.g., from empty arguments) + return arg && (arg.length || arg.nodeType) ? this : this.remove(); + }, + + detach: function( selector ) { + return this.remove( selector, true ); + }, + + domManip: function( args, callback ) { + + // Flatten any nested arrays + args = concat.apply( [], args ); + + var first, node, hasScripts, + scripts, doc, fragment, + i = 0, + l = this.length, + set = this, + iNoClone = l - 1, + value = args[0], + isFunction = jQuery.isFunction( value ); + + // We can't cloneNode fragments that contain checked, in WebKit + if ( isFunction || + ( l > 1 && typeof value === "string" && + !support.checkClone && rchecked.test( value ) ) ) { + return this.each(function( index ) { + var self = set.eq( index ); + if ( isFunction ) { + args[0] = value.call( this, index, self.html() ); + } + self.domManip( args, callback ); + }); + } + + if ( l ) { + fragment = jQuery.buildFragment( args, this[ 0 ].ownerDocument, false, this ); + first = fragment.firstChild; + + if ( fragment.childNodes.length === 1 ) { + fragment = first; + } + + if ( first ) { + scripts = jQuery.map( getAll( fragment, "script" ), disableScript ); + hasScripts = scripts.length; + + // Use the original fragment for the last item instead of the first because it can end up + // being emptied incorrectly in certain situations (#8070). + for ( ; i < l; i++ ) { + node = fragment; + + if ( i !== iNoClone ) { + node = jQuery.clone( node, true, true ); + + // Keep references to cloned scripts for later restoration + if ( hasScripts ) { + jQuery.merge( scripts, getAll( node, "script" ) ); + } + } + + callback.call( this[i], node, i ); + } + + if ( hasScripts ) { + doc = scripts[ scripts.length - 1 ].ownerDocument; + + // Reenable scripts + jQuery.map( scripts, restoreScript ); + + // Evaluate executable scripts on first document insertion + for ( i = 0; i < hasScripts; i++ ) { + node = scripts[ i ]; + if ( rscriptType.test( node.type || "" ) && + !jQuery._data( node, "globalEval" ) && jQuery.contains( doc, node ) ) { + + if ( node.src ) { + // Optional AJAX dependency, but won't run scripts if not present + if ( jQuery._evalUrl ) { + jQuery._evalUrl( node.src ); + } + } else { + jQuery.globalEval( ( node.text || node.textContent || node.innerHTML || "" ).replace( rcleanScript, "" ) ); + } + } + } + } + + // Fix #11809: Avoid leaking memory + fragment = first = null; + } + } + + return this; + } +}); + +jQuery.each({ + appendTo: "append", + prependTo: "prepend", + insertBefore: "before", + insertAfter: "after", + replaceAll: "replaceWith" +}, function( name, original ) { + jQuery.fn[ name ] = function( selector ) { + var elems, + i = 0, + ret = [], + insert = jQuery( selector ), + last = insert.length - 1; + + for ( ; i <= last; i++ ) { + elems = i === last ? this : this.clone(true); + jQuery( insert[i] )[ original ]( elems ); + + // Modern browsers can apply jQuery collections as arrays, but oldIE needs a .get() + push.apply( ret, elems.get() ); + } + + return this.pushStack( ret ); + }; +}); + + +var iframe, + elemdisplay = {}; + +/** + * Retrieve the actual display of a element + * @param {String} name nodeName of the element + * @param {Object} doc Document object + */ +// Called only from within defaultDisplay +function actualDisplay( name, doc ) { + var style, + elem = jQuery( doc.createElement( name ) ).appendTo( doc.body ), + + // getDefaultComputedStyle might be reliably used only on attached element + display = window.getDefaultComputedStyle && ( style = window.getDefaultComputedStyle( elem[ 0 ] ) ) ? + + // Use of this method is a temporary fix (more like optmization) until something better comes along, + // since it was removed from specification and supported only in FF + style.display : jQuery.css( elem[ 0 ], "display" ); + + // We don't have any data stored on the element, + // so use "detach" method as fast way to get rid of the element + elem.detach(); + + return display; +} + +/** + * Try to determine the default display value of an element + * @param {String} nodeName + */ +function defaultDisplay( nodeName ) { + var doc = document, + display = elemdisplay[ nodeName ]; + + if ( !display ) { + display = actualDisplay( nodeName, doc ); + + // If the simple way fails, read from inside an iframe + if ( display === "none" || !display ) { + + // Use the already-created iframe if possible + iframe = (iframe || jQuery( "