python类ylabel()的实例源码

def twoDimensionalScatter(title, title_x, title_y,
                          x, y,
                          lim_x = None, lim_y = None,
                          color = 'b', size = 20, alpha=None):
    """
    Create a two-dimensional scatter plot.

    INPUTS
    """
    pylab.figure()

    pylab.scatter(x, y, c=color, s=size, alpha=alpha, edgecolors='none')

    pylab.xlabel(title_x)
    pylab.ylabel(title_y)
    pylab.title(title)
    if type(color) is not str:
        pylab.colorbar()

    if lim_x:
        pylab.xlim(lim_x[0], lim_x[1])
    if lim_y:
        pylab.ylim(lim_y[0], lim_y[1])

############################################################

def display_results_figure(results, METRIC):
    import pylab as pb
    color = iter(pb.cm.rainbow(np.linspace(0, 1, len(results))))
    plots = []
    for method in results.keys():
        x = []
        y = []
        for train_perc in sorted(results[method].keys()):
            x.append(train_perc)
            y.append(results[method][train_perc][0])
        c = next(color)
        (pi, ) = pb.plot(x, y, color=c)
        plots.append(pi)
    from matplotlib.font_manager import FontProperties
    fontP = FontProperties()
    fontP.set_size('small')
    pb.legend(plots, map(method_name_mapper, results.keys()),
              prop=fontP, bbox_to_anchor=(0.6, .65))
    pb.xlabel('#Tweets from target rumour for training')
    pb.ylabel('Accuracy')
    pb.title(METRIC.__name__)
    pb.savefig('incrementing_training_size.png')

def predicted_vs_actual_y_xgb(self, xgb, best_nrounds, xgb_params, x_train_split, x_test_split, y_train_split,
                                  y_test_split, title_name):
        # Split the training data into an extra set of test
        # x_train_split, x_test_split, y_train_split, y_test_split = train_test_split(x_train, y_train)
        dtrain_split = xgb.DMatrix(x_train_split, label=y_train_split)
        dtest_split = xgb.DMatrix(x_test_split)
        print(np.shape(x_train_split), np.shape(x_test_split), np.shape(y_train_split), np.shape(y_test_split))
        gbdt = xgb.train(xgb_params, dtrain_split, best_nrounds)
        y_predicted = gbdt.predict(dtest_split)
        plt.figure(figsize=(10, 5))
        plt.scatter(y_test_split, y_predicted, s=20)
        rmse_pred_vs_actual = self.rmse(y_predicted, y_test_split)
        plt.title(''.join([title_name, ', Predicted vs. Actual.', ' rmse = ', str(rmse_pred_vs_actual)]))
        plt.xlabel('Actual y')
        plt.ylabel('Predicted y')
        plt.plot([min(y_test_split), max(y_test_split)], [min(y_test_split), max(y_test_split)])
        plt.tight_layout()

def display_pr_curve(precision, recall):
    # following examples from sklearn

    # TODO:  f1 operating point

    import pylab as plt
    # Plot Precision-Recall curve
    plt.clf()
    plt.plot(recall, precision, label='Precision-Recall curve')
    plt.xlabel('Recall')
    plt.ylabel('Precision')
    plt.ylim([0.0, 1.05])
    plt.xlim([0.0, 1.0])
    plt.title('Precision-Recall example: Max f1={0:0.2f}'.format(max_f1))
    plt.legend(loc="lower left")
    plt.show()

def edgescatter(self, ps):
        for ei,X in enumerate(self.edges):
            i,j = X[:2]
            matchdRA, matchdDec = X[10:12]
            mu = X[9]
            A = self.alignments[ei]

            plt.clf()
            if len(matchdRA) > 1000:
                plothist(matchdRA, matchdDec, 101)
            else:
                plt.plot(matchdRA, matchdDec, 'k.', alpha=0.5)
            plt.axvline(0, color='0.5')
            plt.axhline(0, color='0.5')
            plt.axvline(mu[0], color='b')
            plt.axhline(mu[1], color='b')
            for nsig in [1,2]:
                X,Y = A.getContours(nsigma=nsig)
                plt.plot(X, Y, 'b-')
            plt.xlabel('delta-RA (arcsec)')
            plt.ylabel('delta-Dec (arcsec)')
            plt.axis('scaled')
            ps.savefig()

def PlotProps(pars):
    import numpy as np
    import pylab as pl
    import vanGenuchten as vg
    psi = np.linspace(-10, 2, 200)
    pl.figure
    pl.subplot(3, 1, 1)
    pl.plot(psi, vg.thetaFun(psi, pars))
    pl.ylabel(r'$\theta(\psi) [-]$')
    pl.subplot(3, 1, 2)
    pl.plot(psi, vg.CFun(psi, pars))
    pl.ylabel(r'$C(\psi) [1/m]$')
    pl.subplot(3, 1, 3)
    pl.plot(psi, vg.KFun(psi, pars))
    pl.xlabel(r'$\psi [m]$')
    pl.ylabel(r'$K(\psi) [m/d]$')
    # pl.show()

def plot_evaluation_episode_reward():
    pylab.clf()
    sns.set_context("poster")
    pylab.plot(0, 0)
    episodes = [0]
    average_scores = [0]
    median_scores = [0]
    for n in xrange(len(csv_evaluation)):
        params = csv_evaluation[n]
        episodes.append(params[0])
        average_scores.append(params[1])
        median_scores.append(params[2])
    pylab.plot(episodes, average_scores, sns.xkcd_rgb["windows blue"], lw=2)
    pylab.xlabel("episodes")
    pylab.ylabel("average score")
    pylab.savefig("%s/evaluation_episode_average_reward.png" % args.plot_dir)

    pylab.clf()
    pylab.plot(0, 0)
    pylab.plot(episodes, median_scores, sns.xkcd_rgb["windows blue"], lw=2)
    pylab.xlabel("episodes")
    pylab.ylabel("median score")
    pylab.savefig("%s/evaluation_episode_median_reward.png" % args.plot_dir)

def modBev_plot(ax, rangeX = [-10, 10 ], rangeXpx= [0, 400], numDeltaX = 5, rangeZ= [8,48 ], rangeZpx= [0, 800], numDeltaZ = 9, fontSize = None, xlabel = 'x [m]', ylabel = 'z [m]'):
    '''

    @param ax:
    '''
    #TODO: Configureabiltiy would be nice!
    if fontSize==None:
        fontSize = 8

    ax.set_xlabel(xlabel, fontsize=fontSize)
    ax.set_ylabel(ylabel, fontsize=fontSize)

    zTicksLabels_val = np.linspace(rangeZpx[0], rangeZpx[1], numDeltaZ)
    ax.set_yticks(zTicksLabels_val)
    #ax.set_yticks([0, 100, 200, 300, 400, 500, 600, 700, 800])
    xTicksLabels_val = np.linspace(rangeXpx[0], rangeXpx[1], numDeltaX)
    ax.set_xticks(xTicksLabels_val)
    xTicksLabels_val = np.linspace(rangeX[0], rangeX[1], numDeltaX)
    zTicksLabels = map(lambda x: str(int(x)), xTicksLabels_val)
    ax.set_xticklabels(zTicksLabels,fontsize=fontSize)
    zTicksLabels_val = np.linspace(rangeZ[1],rangeZ[0], numDeltaZ)
    zTicksLabels = map(lambda x: str(int(x)), zTicksLabels_val)
    ax.set_yticklabels(zTicksLabels,fontsize=fontSize)

def plotPopScore(population, fitness=False):
   """ Plot the population score distribution

   Example:
      >>> Interaction.plotPopScore(population)

   :param population: population object (:class:`GPopulation.GPopulation`)
   :param fitness: if True, the fitness score will be used, otherwise, the raw.
   :rtype: None

   """
   score_list = getPopScores(population, fitness)
   pylab.plot(score_list, 'o')
   pylab.title("Plot of population score distribution")
   pylab.xlabel('Individual')
   pylab.ylabel('Score')
   pylab.grid(True)
   pylab.show()

# -----------------------------------------------------------------

def plotHistPopScore(population, fitness=False):
   """ Population score distribution histogram

   Example:
      >>> Interaction.plotHistPopScore(population)

   :param population: population object (:class:`GPopulation.GPopulation`)
   :param fitness: if True, the fitness score will be used, otherwise, the raw.
   :rtype: None

   """
   score_list = getPopScores(population, fitness)
   n, bins, patches = pylab.hist(score_list, 50, facecolor='green', alpha=0.75, normed=1)
   pylab.plot(bins, pylab.normpdf(bins, numpy.mean(score_list), numpy.std(score_list)), 'r--')
   pylab.xlabel('Score')
   pylab.ylabel('Frequency')
   pylab.grid(True)
   pylab.title("Plot of population score distribution")
   pylab.show()

# -----------------------------------------------------------------

def plotPopScore(population, fitness=False):
   """ Plot the population score distribution

   Example:
      >>> Interaction.plotPopScore(population)

   :param population: population object (:class:`GPopulation.GPopulation`)
   :param fitness: if True, the fitness score will be used, otherwise, the raw.
   :rtype: None

   """
   score_list = getPopScores(population, fitness)
   pylab.plot(score_list, 'o')
   pylab.title("Plot of population score distribution")
   pylab.xlabel('Individual')
   pylab.ylabel('Score')
   pylab.grid(True)
   pylab.show()

# -----------------------------------------------------------------

def plotHistPopScore(population, fitness=False):
   """ Population score distribution histogram

   Example:
      >>> Interaction.plotHistPopScore(population)

   :param population: population object (:class:`GPopulation.GPopulation`)
   :param fitness: if True, the fitness score will be used, otherwise, the raw.
   :rtype: None

   """
   score_list = getPopScores(population, fitness)
   n, bins, patches = pylab.hist(score_list, 50, facecolor='green', alpha=0.75, normed=1)
   pylab.plot(bins, pylab.normpdf(bins, numpy.mean(score_list), numpy.std(score_list)), 'r--')
   pylab.xlabel('Score')
   pylab.ylabel('Frequency')
   pylab.grid(True)
   pylab.title("Plot of population score distribution")
   pylab.show()

# -----------------------------------------------------------------

def fastLapModel(xList, labels, names, multiple=0, full_set=0):
    X = numpy.array(xList)
    y = numpy.array(labels)
    featureNames = []
    featureNames = numpy.array(names)
    # take fixed holdout set 30% of data rows
    xTrain, xTest, yTrain, yTest = train_test_split(
        X, y, test_size=0.30, random_state=531)
    # for final model (no CV)
    if full_set:
        xTrain = X
        yTrain = y
    check_set(xTrain, xTest, yTrain, yTest)
    print "Fitting the model to the data set..."
    # train random forest at a range of ensemble sizes in order to see how the
    # mse changes
    mseOos = []
    m = 10 ** multiple
    nTreeList = range(500 * m, 1000 * m, 100 * m)
    # iTrees = 10000
    for iTrees in nTreeList:
        depth = None
        maxFeat = int(np.sqrt(np.shape(xTrain)[1])) + 1  # try tweaking
        RFmd = ensemble.RandomForestRegressor(n_estimators=iTrees, max_depth=depth, max_features=maxFeat,
                                              oob_score=False, random_state=531, n_jobs=-1)
        # RFmd.n_features = 5
        RFmd.fit(xTrain, yTrain)

        # Accumulate mse on test set
        prediction = RFmd.predict(xTest)
        mseOos.append(mean_squared_error(yTest, prediction))
    # plot training and test errors vs number of trees in ensemble
    plot.plot(nTreeList, mseOos)
    plot.xlabel('Number of Trees in Ensemble')
    plot.ylabel('Mean Squared Error')
    #plot.ylim([0.0, 1.1*max(mseOob)])
    plot.show()
    print("MSE")
    print(mseOos[-1])
    return xTrain, xTest, yTrain, yTest, RFmd

def plotBestFit(dataSet1,dataSet2):
    dataArr1 = array(dataSet1)
    dataArr2 = array(dataSet2)
    n = shape(dataArr1)[0] 
    n1=shape(dataArr2)[0]
    xcord1 = []; ycord1 = []
    xcord2 = []; ycord2 = []
    xcord3=[];ycord3=[]
    j=0
    for i in range(n):
            xcord1.append(dataArr1[i,0]); ycord1.append(dataArr1[i,1])
            xcord2.append(dataArr2[i,0]); ycord2.append(dataArr2[i,1])

    fig = plt.figure()
    ax = fig.add_subplot(111)
    ax.scatter(xcord1, ycord1, s=30, c='red', marker='s')
    ax.scatter(xcord2, ycord2, s=30, c='blue')

    plt.xlabel('X1'); 
    plt.ylabel('X2');
    plt.show()

def modBev_plot(ax, rangeX = [-10, 10 ], rangeXpx= [0, 400], numDeltaX = 5, rangeZ= [8,48 ], rangeZpx= [0, 800], numDeltaZ = 9, fontSize = None, xlabel = 'x [m]', ylabel = 'z [m]'):
    '''

    @param ax:
    '''
    #TODO: Configureabiltiy would be nice!
    if fontSize==None:
        fontSize = 8

    ax.set_xlabel(xlabel, fontsize=fontSize)
    ax.set_ylabel(ylabel, fontsize=fontSize)

    zTicksLabels_val = np.linspace(rangeZpx[0], rangeZpx[1], numDeltaZ)
    ax.set_yticks(zTicksLabels_val)
    #ax.set_yticks([0, 100, 200, 300, 400, 500, 600, 700, 800])
    xTicksLabels_val = np.linspace(rangeXpx[0], rangeXpx[1], numDeltaX)
    ax.set_xticks(xTicksLabels_val)
    xTicksLabels_val = np.linspace(rangeX[0], rangeX[1], numDeltaX)
    zTicksLabels = map(lambda x: str(int(x)), xTicksLabels_val)
    ax.set_xticklabels(zTicksLabels,fontsize=fontSize)
    zTicksLabels_val = np.linspace(rangeZ[1],rangeZ[0], numDeltaZ)
    zTicksLabels = map(lambda x: str(int(x)), zTicksLabels_val)
    ax.set_yticklabels(zTicksLabels,fontsize=fontSize)

def plot_word_frequencies(freq, user):
        samples = [item for item, _ in freq.most_common(50)]

        freqs = np.array([float(freq[sample]) for sample in samples])
        freqs /= np.max(freqs)

        ylabel = "Normalized word count"

        pylab.grid(True, color="silver")
        kwargs = dict()
        kwargs["linewidth"] = 2
        kwargs["label"] = user
        pylab.plot(freqs, **kwargs)
        pylab.xticks(range(len(samples)), [nltk.compat.text_type(s) for s in samples], rotation=90)
        pylab.xlabel("Samples")
        pylab.ylabel(ylabel)
        pylab.gca().set_yscale('log', basey=2)

def predicted_vs_actual_sale_price(self, x_train, y_train, title_name):
        # Split the training data into an extra set of test
        x_train_split, x_test_split, y_train_split, y_test_split = train_test_split(x_train, y_train)
        print(np.shape(x_train_split), np.shape(x_test_split), np.shape(y_train_split), np.shape(y_test_split))
        lasso = LassoCV(alphas=[0.0001, 0.0003, 0.0006, 0.001, 0.003, 0.006, 0.01, 0.03, 0.06, 0.1,
                                0.3, 0.6, 1],
                        max_iter=50000, cv=10)
        # lasso = RidgeCV(alphas=[0.0001, 0.0003, 0.0006, 0.001, 0.003, 0.006, 0.01, 0.03, 0.06, 0.1,
        #                         0.3, 0.6, 1], cv=10)

        lasso.fit(x_train_split, y_train_split)
        y_predicted = lasso.predict(X=x_test_split)
        plt.figure(figsize=(10, 5))
        plt.scatter(y_test_split, y_predicted, s=20)
        rmse_pred_vs_actual = self.rmse(y_predicted, y_test_split)
        plt.title(''.join([title_name, ', Predicted vs. Actual.', ' rmse = ', str(rmse_pred_vs_actual)]))
        plt.xlabel('Actual Sale Price')
        plt.ylabel('Predicted Sale Price')
        plt.plot([min(y_test_split), max(y_test_split)], [min(y_test_split), max(y_test_split)])
        plt.tight_layout()

def predicted_vs_actual_sale_price_xgb(self, xgb_params, x_train, y_train, seed, title_name):
        # Split the training data into an extra set of test
        x_train_split, x_test_split, y_train_split, y_test_split = train_test_split(x_train, y_train)
        dtrain_split = xgb.DMatrix(x_train_split, label=y_train_split)
        dtest_split = xgb.DMatrix(x_test_split)

        res = xgb.cv(xgb_params, dtrain_split, num_boost_round=1000, nfold=4, seed=seed, stratified=False,
                     early_stopping_rounds=25, verbose_eval=10, show_stdv=True)

        best_nrounds = res.shape[0] - 1
        print(np.shape(x_train_split), np.shape(x_test_split), np.shape(y_train_split), np.shape(y_test_split))
        gbdt = xgb.train(xgb_params, dtrain_split, best_nrounds)
        y_predicted = gbdt.predict(dtest_split)
        plt.figure(figsize=(10, 5))
        plt.scatter(y_test_split, y_predicted, s=20)
        rmse_pred_vs_actual = self.rmse(y_predicted, y_test_split)
        plt.title(''.join([title_name, ', Predicted vs. Actual.', ' rmse = ', str(rmse_pred_vs_actual)]))
        plt.xlabel('Actual Sale Price')
        plt.ylabel('Predicted Sale Price')
        plt.plot([min(y_test_split), max(y_test_split)], [min(y_test_split), max(y_test_split)])
        plt.tight_layout()

def plot(self):
        """
        Plot startup data.
        """
        import pylab

        print("Plotting result...", end="")
        avg_data = self.average_data()
        avg_data = self.__sort_data(avg_data, False)
        if len(self.raw_data) > 1:
            err = self.stdev_data()
            sorted_err = [err[k] for k in list(zip(*avg_data))[0]]
        else:
            sorted_err = None
        pylab.barh(range(len(avg_data)), list(zip(*avg_data))[1],
                   xerr=sorted_err, align='center', alpha=0.4)
        pylab.yticks(range(len(avg_data)), list(zip(*avg_data))[0])
        pylab.xlabel("Average startup time (ms)")
        pylab.ylabel("Plugins")
        pylab.show()
        print(" done.")

def scatter_labeled_z(z_batch, label_batch, filename="labeled_z"):
    fig = pylab.gcf()
    fig.set_size_inches(20.0, 16.0)
    pylab.clf()
    colors = ["#2103c8", "#0e960e", "#e40402","#05aaa8","#ac02ab","#aba808","#151515","#94a169", "#bec9cd", "#6a6551"]
    for n in range(z_batch.shape[0]):
        result = pylab.scatter(z_batch[n, 0], z_batch[n, 1], c=colors[label_batch[n]], s=40, marker="o", edgecolors='none')

    classes = ["0", "1", "2", "3", "4", "5", "6", "7", "8", "9"]
    recs = []
    for i in range(0, len(colors)):
        recs.append(mpatches.Rectangle((0, 0), 1, 1, fc=colors[i]))

    ax = pylab.subplot(111)
    box = ax.get_position()
    ax.set_position([box.x0, box.y0, box.width * 0.8, box.height])
    ax.legend(recs, classes, loc="center left", bbox_to_anchor=(1.1, 0.5))
    pylab.xticks(pylab.arange(-4, 5))
    pylab.yticks(pylab.arange(-4, 5))
    pylab.xlabel("z1")
    pylab.ylabel("z2")
    pylab.savefig(filename)

def stat_personal(self):
        if not os.path.exists(self.file_path + self.ip.ip):
            os.mkdir(self.file_path + self.ip.ip)
            print('make dir %s' % self.ip.ip)
        try:
            items = self.ip.info_set.count()
        except:
            return 0
        my_info = Info.objects.filter(ip = self.ip).order_by('date')
        dates = list(range(len(my_info)))
        bmis = [info.get_bmi() for info in my_info]
        pl.figure('my', figsize = (5.2, 2.8), dpi = 100)
        pl.plot(dates, bmis, '*-', color = '#20b2aa', linewidth = 1.5)
        pl.ylabel(u'BMI?', fontproperties = zhfont)
        pl.ylim(0.0, 50.0)
        pl.savefig(self.file_path + self.ip.ip + '/my.jpg')
        pl.cla()
        return items

def modBev_plot(ax, rangeX = [-10, 10 ], rangeXpx= [0, 400], numDeltaX = 5, rangeZ= [8,48 ], rangeZpx= [0, 800], numDeltaZ = 9, fontSize = None, xlabel = 'x [m]', ylabel = 'z [m]'):
    '''

    @param ax:
    '''
    #TODO: Configureabiltiy would be nice!
    if fontSize==None:
        fontSize = 8

    ax.set_xlabel(xlabel, fontsize=fontSize)
    ax.set_ylabel(ylabel, fontsize=fontSize)

    zTicksLabels_val = np.linspace(rangeZpx[0], rangeZpx[1], numDeltaZ)
    ax.set_yticks(zTicksLabels_val)
    #ax.set_yticks([0, 100, 200, 300, 400, 500, 600, 700, 800])
    xTicksLabels_val = np.linspace(rangeXpx[0], rangeXpx[1], numDeltaX)
    ax.set_xticks(xTicksLabels_val)
    xTicksLabels_val = np.linspace(rangeX[0], rangeX[1], numDeltaX)
    zTicksLabels = map(lambda x: str(int(x)), xTicksLabels_val)
    ax.set_xticklabels(zTicksLabels,fontsize=fontSize)
    zTicksLabels_val = np.linspace(rangeZ[1],rangeZ[0], numDeltaZ)
    zTicksLabels = map(lambda x: str(int(x)), zTicksLabels_val)
    ax.set_yticklabels(zTicksLabels,fontsize=fontSize)

def modBev_plot(ax, rangeX = [-10, 10 ], rangeXpx= [0, 400], numDeltaX = 5, rangeZ= [8,48 ], rangeZpx= [0, 800], numDeltaZ = 9, fontSize = None, xlabel = 'x [m]', ylabel = 'z [m]'):
    '''

    @param ax:
    '''
    #TODO: Configureabiltiy would be nice!
    if fontSize==None:
        fontSize = 8

    ax.set_xlabel(xlabel, fontsize=fontSize)
    ax.set_ylabel(ylabel, fontsize=fontSize)

    zTicksLabels_val = np.linspace(rangeZpx[0], rangeZpx[1], numDeltaZ)
    ax.set_yticks(zTicksLabels_val)
    #ax.set_yticks([0, 100, 200, 300, 400, 500, 600, 700, 800])
    xTicksLabels_val = np.linspace(rangeXpx[0], rangeXpx[1], numDeltaX)
    ax.set_xticks(xTicksLabels_val)
    xTicksLabels_val = np.linspace(rangeX[0], rangeX[1], numDeltaX)
    zTicksLabels = map(lambda x: str(int(x)), xTicksLabels_val)
    ax.set_xticklabels(zTicksLabels,fontsize=fontSize)
    zTicksLabels_val = np.linspace(rangeZ[1],rangeZ[0], numDeltaZ)
    zTicksLabels = map(lambda x: str(int(x)), zTicksLabels_val)
    ax.set_yticklabels(zTicksLabels,fontsize=fontSize)

def show_results(self):
        pl.plot(self.t1, self.n_A1, 'b--', label='A1: Time Step = 0.05')
        pl.plot(self.t1, self.n_B1, 'b', label='B1: Time Step = 0.05')
        pl.plot(self.t2, self.n_A2, 'g--', label='A2: Time Step = 0.1')
        pl.plot(self.t2, self.n_B2, 'g', label='B2: Time Step = 0.1')
        pl.plot(self.t1, self.n_A1_true, 'r--', label='True A1: Time Step = 0.05')
        pl.plot(self.t1, self.n_B1_true, 'r', label='True B1: Time Step = 0.05')
        pl.plot(self.t2, self.n_A2_true, 'c--', label='True A2: Time Step = 0.1')
        pl.plot(self.t2, self.n_B2_true, 'c', label='True B2: Time Step = 0.1')
        pl.title('Double Decay Probelm-Approximation Compared with True in Defferent Time Steps')
        pl.xlim(0.0, 0.1)
        pl.ylim(0.0, 100.0)
        pl.xlabel('time ($s$)')
        pl.ylabel('Number of Nuclei')
        pl.legend(loc='best', shadow=True, fontsize='small')
        pl.grid(True)
        pl.savefig("computational_physics homework 4(improved-7).png")

def show(self):
#        pl.semilogy(self.theta, self.omega)
#                , label = '$L =%.1f m, $'%self.l + '$dt = %.2f s, $'%self.dt + '$\\theta_0 = %.2f radians, $'%self.theta[0] + '$q = %i, $'%self.q + '$F_D = %.2f, $'%self.F_D + '$\\Omega_D = %.1f$'%self.Omega_D)
        pl.plot(self.theta_phase ,self.omega_phase, '.', label = '$t \\approx 2\\pi n / \\Omega_D$')
        pl.xlabel('$\\theta$ (radians)')
        pl.ylabel('$\\omega$ (radians/s)')
        pl.legend()
#        pl.text(-1.4, 0.3, '$\\omega$ versus $\\theta$ $F_D = 1.2$', fontsize = 'x-large')
        pl.title('Chaotic Regime')
#        pl.show()
#        pl.semilogy(self.time_array, self.delta)
#        pl.legend(loc = 'upper center', fontsize = 'small')
#        pl.xlabel('$time (s)$')
#        pl.ylabel('$\\Delta\\theta (radians)$')
#        pl.xlim(0, self.T)
#        pl.ylim(float(input('ylim-: ')),float(input('ylim+: ')))
#        pl.ylim(1E-11, 0.01)
#        pl.text(4, -0.15, 'nonlinear pendulum - Euler-Cromer method')
#        pl.text(10, 1E-3, '$\\Delta\\theta versus time F_D = 0.5$')
#        pl.title('Simple Harmonic Motion')
        pl.title('Chaotic Regime')

def show(self):
#        pl.semilogy(self.theta, self.omega)
#                , label = '$L =%.1f m, $'%self.l + '$dt = %.2f s, $'%self.dt + '$\\theta_0 = %.2f radians, $'%self.theta[0] + '$q = %i, $'%self.q + '$F_D = %.2f, $'%self.F_D + '$\\Omega_D = %.1f$'%self.Omega_D)
        pl.plot(self.time_array,self.delta)

#        pl.show()
#        pl.semilogy(self.time_array, self.delta)
#        pl.legend(loc = 'upper center', fontsize = 'small')
#        pl.xlabel('$time (s)$')
#        pl.ylabel('$\\Delta\\theta (radians)$')
#        pl.xlim(0, self.T)
#        pl.ylim(float(input('ylim-: ')),float(input('ylim+: ')))
#        pl.ylim(1E-11, 0.01)
#        pl.text(4, -0.15, 'nonlinear pendulum - Euler-Cromer method')
#        pl.text(10, 1E-3, '$\\Delta\\theta versus time F_D = 0.5$')
#        pl.title('Simple Harmonic Motion')
#        pl.title('Chaotic Regime')

def show_log(self):
#        pl.subplot(121)
        pl.semilogy(self.time_array, self.delta, 'c')
        pl.xlabel('$time (s)$')
        pl.ylabel('$\\Delta\\theta$ (radians)')
        pl.xlim(0, self.T)
#        pl.ylim(1E-11, 0.01)
        pl.text(42, 1E-7, '$\\Delta\\theta$ versus time $F_D = 1.2$', fontsize = 'x-large')
        pl.title('Chaotic Regime')
        pl.show()

#    def show_log_sub122(self):
#        pl.subplot(122)
#        pl.semilogy(self.time_array, self.delta, 'g')
#        pl.xlabel('$time (s)$')
#        pl.ylabel('$\\Delta\\theta$ (radians)')
#        pl.xlim(0, self.T)
#        pl.ylim(1E-6, 100)
#        pl.text(20, 1E-5, '$\\Delta\\theta$ versus time $F_D = 1.2$', fontsize = 'x-large')
#        pl.title('Chaotic Regime')
#        pl.show()

def show_complex(self):
        font = {'family': 'serif',
                'color':  'k',
                'weight': 'normal',
                'size': 16,
        }
        pl.title('The Trajectory of Tageted Baseball\n with air flow in adiabatic model', fontdict = font)
        pl.plot(self.x, self.y, label = '$v_0 = %.5f m/s$'%self.v0 + ', ' + '$\\theta = %.4f \degree$'%self.theta)
        pl.xlabel('x $m$')
        pl.ylabel('y $m$')
        pl.xlim(0, 300)
        pl.ylim(-100, 20)
        pl.grid()
        pl.legend(loc = 'upper right', shadow = True, fontsize = 'small')
        pl.text(15, -90, 'scan to approach the minimum velocity and corresponding launching angle', fontdict = font)
        pl.show()

def show_simple(self):
        font = {'family': 'serif',
                'color':  'k',
                'weight': 'normal',
                'size': 16,
        }
        pl.title('The Trajectory of Tageted Baseball\n with air flow in adiabatic model', fontdict = font)
        pl.plot(self.x, self.y, label ='$\\alpha = %.0f \degree$'%self.alpha)
        pl.xlabel('x $m$')
        pl.ylabel('y $m$')
        pl.xlim(0, 400)
        pl.ylim(-100, 200)
        pl.grid()
        pl.legend(loc = 'upper right', shadow = True, fontsize = 'medium')
        pl.text(5, -80, 'trojectories varing with angles of wind', fontdict = font)
        pl.show()

def show_results(self):
        font = {'family': 'serif',
                'color':  'k',
                'weight': 'normal',
                'size': 14,
        }
        pl.plot(self.x, self.y, 'c', label='firing angle = 45°')
        pl.title('The Trajectory of a Cannon Shell', fontdict = font)
        pl.xlabel('x (k$m$)')
        pl.ylabel('y ($km$)')
        pl.xlim(0, 60)
        pl.ylim(0, 20)
        pl.grid(True)
        pl.legend(loc='upper right', shadow=True, fontsize='large')
        pl.text(41, 16, 'Only with air drag', fontdict = font)
        pl.show()