示例#1
0
def scatter_matrix(df,
                   variables,
                   alpha=0.5,
                   grid=False,
                   diagonal=None,
                   trend='linear',
                   alternate_labels=True,
                   fname=None,
                   output_dir='',
                   quality='medium',
                   **kwds):
    """
    Plots a matrix of scatterplots

       args:
          variables:
             column labels to include in scatter matrix
             
       kwds:
          alpha:
             amount of transparency applied
    
          grid:
             setting this to True will show the grid
    
          diagonal:
             'kde':  Kernel Density Estimation
        
             'hist': 20 bin Histogram
        
             None:  just labels
         
          trend :
             None:          no model fitting
        
             'linear':      f(x) = a + b*x     (default)
        
             'exponential': f(x) = a * x**b
        
             'logarithmic': f(x) = a * log(x) + b
        
             'polynomial':  f(x) = a * x**2 + b*x + c
        
             'power':       f(x) = a * x**b
        
          alternate_labels: Specifies whether the labels and ticks should
                            alternate. Default is True. When False tick labels
                            will be on the left and botttom, and variable
                            labels will be on the top and right.
    """

    # code forked from pandas.tools.plotting

    if diagonal != None:
        if diagonal.lower() in ['hist', 'histogram']:
            diagonal = 'hist'

        if diagonal.lower() in ['kernel', 'kde']:
            diagonal = 'kde'
    else:
        diagonal = None

    n = len(variables)
    fig, axes = _subplots(nrows=n,
                          ncols=n,
                          figsize=(n * 2.5, n * 2.5),
                          squeeze=False)

    # remove gaps between subplots
    pylab.subplots_adjust(wspace=0, hspace=0)

    ticks = {}
    lims = {}
    for a in variables:
        dmin, dmax = np.min(df[a]), np.max(df[a])
        drange = dmax - dmin
        ticks[a] = np.linspace(dmin, dmax, 5)
        lims[a] = [dmin - .1 * drange, dmax + .1 * drange]

    for i, a in enumerate(variables):
        for j, b in enumerate(variables):
            if i == j:  # Handle cases were a == b
                if diagonal == 'hist':
                    axes[i, j].hist(df[a], 20)
                elif diagonal == 'kde':
                    y = df[a]
                    gkde = scipy.stats.gaussian_kde(y)
                    ind = np.linspace(lims[a][0], lims[a][1], 1000)
                    axes[i, j].plot(ind, gkde.evaluate(ind), alpha=.8)
                else:
                    axes[i, j].set_xlim(lims[b])
                    axes[i, j].set_ylim(lims[a])
                    axes[i, j].text(ticks[b][2],
                                    ticks[a][2],
                                    a,
                                    fontsize=14,
                                    horizontalalignment='center',
                                    verticalalignment='center')

                axes[i, j].set_xlim(lims[b])
                axes[i, j].set_xticks(ticks[b])

                # with an odd number of variables faking the y-axis
                # takes a little bit of algebra
                #
                # y0
                # |
                # y1
                # |
                # |
                # |
                # y2
                # |
                # y3
                #
                # y1 and x2 are where we want the bottom and top ticks
                # for subplots on the row y1 and y2 coorespond to the min
                # and max values
                #
                # y0 = y1-(y2-y1)*.1
                # y3 = y2+(y2-y1)*.1
                [y0, y3] = axes[i, j].get_ylim()
                y1 = y0 + .1 * (y3 - y0) / 1.2
                y2 = y1 + (y3 - y0) / 1.2
                axes[i, j].set_yticks(np.linspace(y1, y2, 5))

                if (alternate_labels and i == n - 1 and n % 2 == 1):
                    axes[i, j].set_yticklabels(_tick_formatter(ticks[a]))

                if (not alternate_labels and i == 0 and j == 0):
                    axes[i, j].set_yticklabels(_tick_formatter(ticks[a]))

                if i == n - 1 and j == n - 1:
                    axes[i, j].set_xticklabels(_tick_formatter(ticks[b]))
                else:
                    axes[i, j].set_xticklabels([])

            else:  # Handle cases were a != b

                # perform trend fit if above diagonal and requested
                if i < j and trend in [
                        'exponential', 'linear', 'logarithmic', 'log',
                        'polynomial', 'power'
                ]:

                    trend_dict = _bivariate_trend_fit(df[b], df[a], trend)
                    model = trend_dict['model']
                    model_str = model.__doc__
                    tex_str = model_str + '\n' + r'$R^{2}=%.04f$' % trend_dict[
                        'r2']

                    # plot results
                    ind = np.linspace(lims[b][0], lims[b][1], 1000)
                    axes[i, j].scatter(df[b], df[a], alpha=alpha * .5, **kwds)
                    axes[i, j].plot(ind, model(ind), alpha=.8)
                    axes[i, j].text(ticks[b][0],
                                    ticks[a][-1],
                                    tex_str,
                                    horizontalalignment='left',
                                    verticalalignment='top',
                                    fontsize=10)
                else:
                    axes[i, j].scatter(df[b], df[a], alpha=alpha, **kwds)

                axes[i, j].set_xlim(lims[b])
                axes[i, j].set_ylim(lims[a])
                axes[i, j].set_xticks(ticks[b])
                axes[i, j].set_yticks(ticks[a])
                axes[i, j].set_xticklabels(_tick_formatter(ticks[b]))
                axes[i, j].set_yticklabels(_tick_formatter(ticks[a]))
                axes[i, j].set_xlabel('')
                axes[i, j].set_ylabel('')

##                is_datetype = ticks.inferred_type in ('datetime', 'date',
##                                                  'datetime64')
##
##                if ticks.is_numeric() or is_datetype:
##                    """
##                    Matplotlib supports numeric values or datetime objects as
##                    xaxis values. Taking LBYL approach here, by the time
##                    matplotlib raises exception when using non numeric/datetime
##                    values for xaxis, several actions are already taken by plt.
##                    """
##                    ticks = ticks._mpl_repr()

            if alternate_labels:
                # Handle xticks and xlabels
                if i == 0:  # top row
                    if j % 2 == 1:
                        axes[i, j].xaxis.set_ticks_position('top')
                    else:
                        axes[i, j].set_xticklabels([])
                        if diagonal in ['hist', 'kde']:
                            axes[i, j].set_xlabel(b)
                            axes[i, j].xaxis.set_label_position('top')
                elif i == n - 1:  # bottom row
                    if j % 2 == 0:
                        axes[i, j].xaxis.set_ticks_position('bottom')
                    else:
                        axes[i, j].set_xticklabels([])
                        if diagonal in ['hist', 'kde']:
                            axes[i, j].set_xlabel(b)
                            axes[i, j].xaxis.set_label_position('bottom')
                else:  # middle row
                    axes[i, j].set_xticklabels([])

                # Handle yticks and ylabels
                if j == 0:  # left column
                    if i % 2 == 1:
                        axes[i, j].yaxis.set_ticks_position('left')
                    else:
                        axes[i, j].set_yticklabels([])
                        if diagonal in ['hist', 'kde']:
                            axes[i, j].set_ylabel(a)
                            axes[i, j].yaxis.set_label_position('left')
                elif j == n - 1:  # right column
                    if i % 2 == 0:
                        axes[i, j].yaxis.set_ticks_position('right')
                    else:
                        axes[i, j].set_yticklabels([])
                        if diagonal in ['hist', 'kde']:
                            axes[i, j].set_ylabel(a)
                            axes[i, j].yaxis.set_label_position('right')
                else:  # middle column
                    axes[i, j].set_yticklabels([])

            # don't alternate labels
            else:
                if i == 0:  # top row has xlabels
                    axes[i, j].set_xticklabels([])
                    if diagonal in ['hist', 'kde']:
                        axes[i, j].set_xlabel(b)
                        axes[i, j].xaxis.set_label_position('top')
                elif i == n - 1:  # bottom row has xticklabels
                    axes[i, j].xaxis.set_ticks_position('bottom')

                else:  # middle row
                    axes[i, j].set_xticklabels([])

                # Handle yticks and ylabels
                if j == 0:  # left column has yticklabels
                    axes[i, j].yaxis.set_ticks_position('left')
                elif j == n - 1:  # right column has ylabels
                    axes[i, j].set_yticklabels([])
                    if diagonal in ['hist', 'kde']:
                        axes[i, j].set_ylabel(a)
                        axes[i, j].yaxis.set_label_position('right')
                else:  # middle column
                    axes[i, j].set_yticklabels([])

            labels = axes[i, j].get_xticklabels()
            for label in labels:
                label.set_rotation(40)

            axes[i, j].grid(b=grid)

    if fname == None:
        fname = 'scatter_matrix('
        fname += '_X_'.join([str(f) for f in variables])
        if diagonal != None:
            fname += ',diagonal=' + diagonal
        if not alternate_labels:
            fname += ',alternate_labels=False'
        fname += ').png'

    fname = os.path.join(output_dir, fname)

    if quality == 'low' or fname.endswith('.svg'):
        fig.savefig(fname)

    elif quality == 'medium':
        fig.savefig(fname, dpi=200)

    elif quality == 'high':
        fig.savefig(fname, dpi=300)

    else:
        fig.savefig(fname)

    pylab.close()
示例#2
0
def scatter_matrix(df, variables, alpha=0.5, grid=False,
                   diagonal=None, trend='linear', alternate_labels=True,
                   fname=None, output_dir='', quality='medium', **kwds):
    """
    Plots a matrix of scatterplots

       args:
          variables:
             column labels to include in scatter matrix
             
       kwds:
          alpha:
             amount of transparency applied
    
          grid:
             setting this to True will show the grid
    
          diagonal:
             'kde':  Kernel Density Estimation
        
             'hist': 20 bin Histogram
        
             None:  just labels
         
          trend :
             None:          no model fitting
        
             'linear':      f(x) = a + b*x     (default)
        
             'exponential': f(x) = a * x**b
        
             'logarithmic': f(x) = a * log(x) + b
        
             'polynomial':  f(x) = a * x**2 + b*x + c
        
             'power':       f(x) = a * x**b
        
          alternate_labels: Specifies whether the labels and ticks should
                            alternate. Default is True. When False tick labels
                            will be on the left and botttom, and variable
                            labels will be on the top and right.
    """

   # code forked from pandas.tools.plotting

    if diagonal!= None:
        if diagonal.lower() in ['hist', 'histogram']:
            diagonal = 'hist'

        if diagonal.lower() in ['kernel', 'kde']:
            diagonal = 'kde'
    else:
        diagonal = None
    
    n = len(variables)
    fig, axes = _subplots(nrows=n, ncols=n,
                          figsize=(n*2.5, n*2.5),
                          squeeze=False)

    # remove gaps between subplots
    pylab.subplots_adjust(wspace=0, hspace=0)

    ticks = {}
    lims = {}
    for a in variables:
        dmin,dmax = np.min(df[a]),np.max(df[a])
        drange = dmax-dmin
        ticks[a] = np.linspace(dmin, dmax, 5)
        lims[a] = [dmin - .1*drange, dmax + .1*drange]

    for i, a in enumerate(variables):
        for j, b in enumerate(variables):
            if i == j: # Handle cases were a == b
                if diagonal == 'hist':
                    axes[i, j].hist(df[a], 20)
                elif diagonal == 'kde':
                    y = df[a]
                    gkde = scipy.stats.gaussian_kde(y)
                    ind = np.linspace(lims[a][0], lims[a][1], 1000)
                    axes[i, j].plot(ind, gkde.evaluate(ind), alpha=.8)
                else:
                    axes[i, j].set_xlim(lims[b])
                    axes[i, j].set_ylim(lims[a])
                    axes[i, j].text(ticks[b][2], ticks[a][2], a,
                                    fontsize=14,
                                    horizontalalignment='center',
                                    verticalalignment='center')
     
                axes[i, j].set_xlim(lims[b])
                axes[i, j].set_xticks(ticks[b])
                
                # with an odd number of variables faking the y-axis
                # takes a little bit of algebra
                #
                # y0
                # |
                # y1
                # |
                # |
                # |
                # y2
                # |
                # y3
                #
                # y1 and x2 are where we want the bottom and top ticks
                # for subplots on the row y1 and y2 coorespond to the min
                # and max values
                #
                # y0 = y1-(y2-y1)*.1
                # y3 = y2+(y2-y1)*.1
                [y0,y3] = axes[i, j].get_ylim()
                y1 = y0 + .1*(y3-y0)/1.2
                y2 = y1 +    (y3-y0)/1.2
                axes[i, j].set_yticks(np.linspace(y1, y2, 5))

                if (alternate_labels and i == n-1 and n%2 == 1):           
                    axes[i, j].set_yticklabels(_tick_formatter(ticks[a]))
                    
                if (not alternate_labels and i == 0 and j == 0):
                    axes[i, j].set_yticklabels(_tick_formatter(ticks[a]))

                if i == n-1 and j == n-1:             
                    axes[i, j].set_xticklabels(_tick_formatter(ticks[b]))
                else:
                    axes[i, j].set_xticklabels([])
                    
            else: # Handle cases were a != b

                # perform trend fit if above diagonal and requested
                if i < j and trend in ['exponential','linear','logarithmic','log',
                                       'polynomial','power']:

                    trend_dict = _bivariate_trend_fit(df[b],df[a],trend)
                    model = trend_dict['model']
                    model_str = model.__doc__
                    tex_str = model_str + '\n' + r'$R^{2}=%.04f$'%trend_dict['r2']
                    
                    # plot results                      
                    ind = np.linspace(lims[b][0], lims[b][1], 1000)  
                    axes[i, j].scatter(df[b], df[a], alpha=alpha*.5, **kwds)
                    axes[i, j].plot(ind, model(ind), alpha=.8)                        
                    axes[i, j].text(ticks[b][0], ticks[a][-1],
                                    tex_str,
                                    horizontalalignment='left',
                                    verticalalignment='top',
                                    fontsize=10)
                else:
                    axes[i, j].scatter(df[b], df[a], alpha=alpha, **kwds)
                    
                axes[i, j].set_xlim(lims[b])
                axes[i, j].set_ylim(lims[a])
                axes[i, j].set_xticks(ticks[b])
                axes[i, j].set_yticks(ticks[a])
                axes[i, j].set_xticklabels(_tick_formatter(ticks[b]))
                axes[i, j].set_yticklabels(_tick_formatter(ticks[a]))
                axes[i, j].set_xlabel('')
                axes[i, j].set_ylabel('')

##                is_datetype = ticks.inferred_type in ('datetime', 'date',
##                                                  'datetime64')
##
##                if ticks.is_numeric() or is_datetype:
##                    """
##                    Matplotlib supports numeric values or datetime objects as
##                    xaxis values. Taking LBYL approach here, by the time
##                    matplotlib raises exception when using non numeric/datetime
##                    values for xaxis, several actions are already taken by plt.
##                    """
##                    ticks = ticks._mpl_repr()
                
            if alternate_labels:
                # Handle xticks and xlabels
                if i == 0: # top row
                    if j % 2 == 1:
                        axes[i, j].xaxis.set_ticks_position('top')
                    else:
                        axes[i, j].set_xticklabels([])
                        if diagonal in ['hist', 'kde']:
                            axes[i, j].set_xlabel(b)
                            axes[i, j].xaxis.set_label_position('top')
                elif i == n-1: # bottom row
                    if j % 2 == 0:
                        axes[i, j].xaxis.set_ticks_position('bottom')
                    else:
                        axes[i, j].set_xticklabels([])
                        if diagonal in ['hist', 'kde']:
                            axes[i, j].set_xlabel(b)
                            axes[i, j].xaxis.set_label_position('bottom')
                else: # middle row
                    axes[i, j].set_xticklabels([])
     
                # Handle yticks and ylabels
                if j == 0: # left column
                    if i % 2 == 1:
                        axes[i, j].yaxis.set_ticks_position('left')
                    else:
                        axes[i, j].set_yticklabels([])
                        if diagonal in ['hist', 'kde']:
                            axes[i, j].set_ylabel(a)
                            axes[i, j].yaxis.set_label_position('left')
                elif j == n-1: # right column
                    if i % 2 == 0:
                        axes[i, j].yaxis.set_ticks_position('right')
                    else:
                        axes[i, j].set_yticklabels([])
                        if diagonal in ['hist', 'kde']:
                            axes[i, j].set_ylabel(a)
                            axes[i, j].yaxis.set_label_position('right')
                else: # middle column
                    axes[i, j].set_yticklabels([])
                    
            # don't alternate labels  
            else: 
                if i == 0: # top row has xlabels
                    axes[i, j].set_xticklabels([])
                    if diagonal in ['hist', 'kde']:
                        axes[i, j].set_xlabel(b)
                        axes[i, j].xaxis.set_label_position('top')
                elif i == n-1: # bottom row has xticklabels
                    axes[i, j].xaxis.set_ticks_position('bottom')
                    
                else: # middle row
                    axes[i, j].set_xticklabels([])
     
                # Handle yticks and ylabels
                if j == 0: # left column has yticklabels
                    axes[i, j].yaxis.set_ticks_position('left')
                elif j == n-1: # right column has ylabels
                    axes[i, j].set_yticklabels([])
                    if diagonal in ['hist', 'kde']:
                        axes[i, j].set_ylabel(a)
                        axes[i, j].yaxis.set_label_position('right')
                else: # middle column
                    axes[i, j].set_yticklabels([])
                 
            labels = axes[i, j].get_xticklabels() 
            for label in labels: 
                label.set_rotation(40) 

            axes[i, j].grid(b=grid)

    if fname == None:
        fname = 'scatter_matrix('
        fname += '_X_'.join([str(f) for f in variables])
        if diagonal != None:
            fname += ',diagonal=' + diagonal
        if not alternate_labels:
            fname += ',alternate_labels=False'
        fname += ').png'

    fname = os.path.join(output_dir, fname)
        
    if quality == 'low' or fname.endswith('.svg'):
        fig.savefig(fname)
        
    elif quality == 'medium':
        fig.savefig(fname, dpi=200)
        
    elif quality == 'high':
        fig.savefig(fname, dpi=300)
        
    else:
        fig.savefig(fname)

    pylab.close()
示例#3
0
def scatter_plot(df,
                 aname,
                 bname,
                 where=None,
                 trend=None,
                 fname=None,
                 output_dir='',
                 quality='medium',
                 alpha=0.6):
    """
    Creates a scatter plot with the specified parameters

       args:
          aname: variable on x-axis
          
          bname: variable on y-axis
             
       kwds:
          alpha:
             amount of transparency applied
    
          trend :
             None:          no model fitting
        
             'linear':      f(x) = a + b*x
        
             'exponential': f(x) = a * x**b
        
             'logarithmic': f(x) = a * log(x) + b
        
             'polynomial':  f(x) = a * x**2 + b*x + c
        
             'power':       f(x) = a * x**b
    """

    if where == None:
        where = []

    # check fname
    if not isinstance(fname, _strobj) and fname != None:
        raise TypeError('fname must be None or string')

    if isinstance(fname, _strobj):
        if not (fname.lower().endswith('.png') or \
                fname.lower().endswith('.svg')):
            raise Exception('fname must end with .png or .svg')

    # select_col does checking of aname, bnames, and where
    adata = df.select_col(aname, where)
    bdata = df.select_col(bname, where)

    # figure out the limits for the plot
    # I want 5 ticks for both the x and y axis
    amin, amax = min(adata), max(adata)
    arange = amax - amin
    xticks = np.linspace(amin, amax, 5)
    xlim = [amin - .1 * arange, amax + .1 * arange]

    bmin, bmax = min(bdata), max(bdata)
    brange = bmax - bmin
    yticks = np.linspace(bmin, bmax, 5)
    ylim = [bmin - .1 * brange, bmax + .1 * brange]

    # initialize the figure
    fig = pylab.figure(figsize=(4, 4))
    fig.subplots_adjust(left=.2, bottom=.2, top=.95, right=.95)

    # make the scatter plot
    pylab.scatter(adata, bdata, alpha=alpha)

    # format stuff
    pylab.xticks(xticks, _tick_formatter(xticks), rotation=30)
    pylab.yticks(yticks, _tick_formatter(yticks))
    pylab.xlim(xlim)
    pylab.ylim(ylim)
    pylab.xlabel(aname)
    pylab.ylabel(bname)

    # perform trend fit if requested
    if trend in [
            'exponential', 'linear', 'logarithmic', 'log', 'polynomial',
            'power'
    ]:

        trend_dict = _bivariate_trend_fit(adata, bdata, trend)
        model = trend_dict['model']
        model_str = model.__doc__
        tex_str = model_str + '\n' + r'$R^{2}=%.04f$' % trend_dict['r2']

        # plot fit
        ind = np.linspace(xlim[0], xlim[1], 1000)
        pylab.plot(ind, model(ind), alpha=.8)
        pylab.text(xticks[0],
                   yticks[-1],
                   tex_str,
                   horizontalalignment='left',
                   verticalalignment='top',
                   fontsize=11)

    if fname == None:
        fname = 'scatter(%s_X_%s' % (aname, bname)
        if trend != None:
            fname += ',trend=' + trend
        fname += ').png'

    fname = os.path.join(output_dir, fname)

    # save figure
    if quality == 'low' or fname.endswith('.svg'):
        pylab.savefig(fname)

    elif quality == 'medium':
        pylab.savefig(fname, dpi=200)

    elif quality == 'high':
        pylab.savefig(fname, dpi=300)

    else:
        pylab.savefig(fname)

    pylab.close()

    if df.TESTMODE:
        # build and return test dictionary
        return {'aname': aname, 'bname': bname, 'fname': fname, 'trend': trend}
示例#4
0
def scatter_plot(df, aname, bname, where=None, trend=None,
                 fname=None, output_dir='',
                 quality='medium', alpha=0.6):
    """
    Creates a scatter plot with the specified parameters

       args:
          aname: variable on x-axis
          
          bname: variable on y-axis
             
       kwds:
          alpha:
             amount of transparency applied
    
          trend :
             None:          no model fitting
        
             'linear':      f(x) = a + b*x
        
             'exponential': f(x) = a * x**b
        
             'logarithmic': f(x) = a * log(x) + b
        
             'polynomial':  f(x) = a * x**2 + b*x + c
        
             'power':       f(x) = a * x**b
    """
    
    if where == None:
        where = []

    # check fname
    if not isinstance(fname, _strobj) and fname != None:
        raise TypeError('fname must be None or string')

    if isinstance(fname, _strobj):
        if not (fname.lower().endswith('.png') or \
                fname.lower().endswith('.svg')):
            raise Exception('fname must end with .png or .svg')                

    # select_col does checking of aname, bnames, and where        
    adata = df.select_col(aname, where)
    bdata = df.select_col(bname, where)

    # figure out the limits for the plot
    # I want 5 ticks for both the x and y axis
    amin,amax = min(adata),max(adata)
    arange = amax-amin
    xticks = np.linspace(amin, amax, 5)
    xlim = [amin - .1*arange, amax + .1*arange]
    
    bmin,bmax = min(bdata),max(bdata)
    brange = bmax-bmin
    yticks = np.linspace(bmin, bmax, 5)
    ylim = [bmin - .1*brange, bmax + .1*brange]

    # initialize the figure
    fig=pylab.figure(figsize=(4,4))
    fig.subplots_adjust(left=.2, bottom=.2, top=.95, right=.95)

    # make the scatter plot
    pylab.scatter(adata, bdata, alpha=alpha)

    # format stuff
    pylab.xticks(xticks, _tick_formatter(xticks),rotation=30)
    pylab.yticks(yticks, _tick_formatter(yticks))
    pylab.xlim(xlim)
    pylab.ylim(ylim)
    pylab.xlabel(aname)
    pylab.ylabel(bname)

    # perform trend fit if requested
    if trend in ['exponential','linear','logarithmic',
                 'log','polynomial','power']:

        trend_dict = _bivariate_trend_fit(adata,bdata,trend)
        model = trend_dict['model']
        model_str = model.__doc__
        tex_str = model_str + '\n' + r'$R^{2}=%.04f$'%trend_dict['r2']

        # plot fit
        ind = np.linspace(xlim[0], xlim[1], 1000)  
        pylab.plot(ind, model(ind), alpha=.8)                        
        pylab.text(xticks[0], yticks[-1],
                   tex_str,
                   horizontalalignment='left',
                   verticalalignment='top',
                   fontsize=11)

    if fname == None:
        fname = 'scatter(%s_X_%s'%(aname,bname)
        if trend != None:
            fname += ',trend=' + trend
        fname += ').png'

    fname = os.path.join(output_dir, fname)

    # save figure
    if quality == 'low' or fname.endswith('.svg'):
        pylab.savefig(fname)
        
    elif quality == 'medium':
        pylab.savefig(fname, dpi=200)
        
    elif quality == 'high':
        pylab.savefig(fname, dpi=300)
        
    else:
        pylab.savefig(fname)

    pylab.close()

    if df.TESTMODE:
        # build and return test dictionary
        return {'aname':aname, 'bname':bname, 'fname':fname, 'trend':trend}