added global plotstyle.py providing common formatting and colors
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ebff6cf5ad
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@ -8,8 +8,8 @@ PYPDFFILES=$(PYFILES:.py=.pdf)
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pythonplots : $(PYPDFFILES)
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$(PYPDFFILES) : %.pdf: %.py
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python3 $<
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$(PYPDFFILES) : %.pdf: %.py ../../plotstyle.py
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PYTHONPATH="../../" python3 $<
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cleanpythonplots :
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rm -f $(PYPDFFILES)
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86
plotstyle.py
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86
plotstyle.py
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@ -0,0 +1,86 @@
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import matplotlib as mpl
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import matplotlib.pyplot as plt
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# colors:
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colors = {
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'red': '#CC0000',
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'orange': '#FF9900',
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'lightorange': '#FFCC00',
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'yellow': '#FFFF66',
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'green': '#99FF00',
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'blue': '#0000FF'
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}
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def show_spines(ax, spines):
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""" Show and hide spines.
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Parameters
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----------
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ax: matplotlib figure, matplotlib axis, or list of matplotlib axes
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Axis whose spines and ticks are manipulated.
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If figure, then apply manipulations on all axes of the figure.
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If list of axes, apply manipulations on each of the given axes.
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spines: string
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Specify which spines and ticks should be shown. All other ones or hidden.
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'l' is the left spine, 'r' the right spine, 't' the top one and 'b' the bottom one.
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E.g. 'lb' shows the left and bottom spine, and hides the top and and right spines,
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as well as their tick marks and labels.
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'' shows no spines at all.
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'lrtb' shows all spines and tick marks.
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"""
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# collect spine visibility:
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xspines = []
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if 't' in spines:
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xspines.append('top')
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if 'b' in spines:
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xspines.append('bottom')
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yspines = []
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if 'l' in spines:
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yspines.append('left')
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if 'r' in spines:
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yspines.append('right')
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# collect axes:
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if isinstance(ax, (list, tuple)):
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axs = ax
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else:
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axs = ax.get_axes()
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if not isinstance(axs, (list, tuple)):
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axs = [axs]
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for ax in axs:
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# hide spines:
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if not 'top' in xspines:
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ax.spines['top'].set_visible(False)
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if not 'bottom' in xspines:
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ax.spines['bottom'].set_visible(False)
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if not 'left' in yspines:
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ax.spines['left'].set_visible(False)
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if not 'right' in yspines:
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ax.spines['right'].set_visible(False)
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# ticks:
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if len(xspines) == 0:
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ax.xaxis.set_ticks_position('none')
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ax.set_xticks([])
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elif len(xspines) == 1:
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ax.xaxis.set_ticks_position(xspines[0])
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else:
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ax.xaxis.set_ticks_position('both')
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if len(yspines) == 0:
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ax.yaxis.set_ticks_position('none')
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ax.set_yticks([])
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elif len(yspines) == 1:
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ax.yaxis.set_ticks_position(yspines[0])
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else:
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ax.yaxis.set_ticks_position('both')
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# initialization:
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plt.xkcd()
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mpl.rcParams['figure.facecolor'] = 'white'
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mpl.rcParams['xtick.direction'] = 'out'
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mpl.rcParams['ytick.direction'] = 'out'
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mpl.rcParams['xtick.major.size'] = 6
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mpl.rcParams['ytick.major.size'] = 6
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mpl.rcParams['xtick.major.width'] = 1.25
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mpl.rcParams['ytick.major.width'] = 1.25
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@ -1,5 +1,6 @@
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import matplotlib.pyplot as plt
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import numpy as np
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from plotstyle import colors, show_spines
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def create_data():
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# wikipedia:
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@ -15,18 +16,13 @@ def create_data():
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def plot_data(ax, x, y, c):
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ax.scatter(x, y, marker='o', color='b', s=40, zorder=10)
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ax.scatter(x, y, marker='o', color=colors['blue'], s=40, zorder=10)
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xx = np.linspace(2.1, 3.9, 100)
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ax.plot(xx, c*xx**3.0, color='#CC0000', lw=2, zorder=5)
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ax.plot(xx, c*xx**3.0, color=colors['red'], lw=2, zorder=5)
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for cc in [0.25*c, 0.5*c, 2.0*c, 4.0*c]:
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ax.plot(xx, cc*xx**3.0, color='#FF9900', lw=1.5, zorder=5)
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ax.spines["right"].set_visible(False)
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ax.spines["top"].set_visible(False)
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ax.yaxis.set_ticks_position('left')
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ax.xaxis.set_ticks_position('bottom')
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ax.tick_params(direction="out", width=1.25)
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ax.tick_params(direction="out", width=1.25)
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ax.plot(xx, cc*xx**3.0, color=colors['orange'], lw=1.5, zorder=5)
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show_spines(ax, 'lb')
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ax.set_xlabel('Size x / m')
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ax.set_ylabel('Weight y / kg')
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ax.set_xlim(2, 4)
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@ -36,12 +32,7 @@ def plot_data(ax, x, y, c):
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def plot_data_errors(ax, x, y, c):
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ax.spines["right"].set_visible(False)
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ax.spines["top"].set_visible(False)
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ax.yaxis.set_ticks_position('left')
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ax.xaxis.set_ticks_position('bottom')
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ax.tick_params(direction="out", width=1.25)
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ax.tick_params(direction="out", width=1.25)
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show_spines(ax, 'lb')
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ax.set_xlabel('Size x / m')
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#ax.set_ylabel('Weight y / kg')
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ax.set_xlim(2, 4)
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@ -54,23 +45,18 @@ def plot_data_errors(ax, x, y, c):
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xytext=(3.4, 70), textcoords='data', ha='left',
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arrowprops=dict(arrowstyle="->", relpos=(0.9,1.0),
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connectionstyle="angle3,angleA=50,angleB=-30") )
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ax.scatter(x[:40], y[:40], color='b', s=10, zorder=0)
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ax.scatter(x[:40], y[:40], color=colors['blue'], s=10, zorder=0)
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inxs = [3, 10, 11, 17, 18, 21, 28, 30, 33]
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ax.scatter(x[inxs], y[inxs], color='b', s=40, zorder=10)
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ax.scatter(x[inxs], y[inxs], color=colors['blue'], s=40, zorder=10)
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xx = np.linspace(2.1, 3.9, 100)
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ax.plot(xx, c*xx**3.0, color='#CC0000', lw=2)
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ax.plot(xx, c*xx**3.0, color=colors['red'], lw=2)
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for i in inxs :
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xx = [x[i], x[i]]
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yy = [c*x[i]**3.0, y[i]]
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ax.plot(xx, yy, color='#FF9900', lw=2, zorder=5)
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ax.plot(xx, yy, color=colors['orange'], lw=2, zorder=5)
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def plot_error_hist(ax, x, y, c):
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ax.spines["right"].set_visible(False)
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ax.spines["top"].set_visible(False)
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ax.yaxis.set_ticks_position('left')
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ax.xaxis.set_ticks_position('bottom')
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ax.tick_params(direction="out", width=1.25)
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ax.tick_params(direction="out", width=1.25)
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show_spines(ax, 'lb')
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ax.set_xlabel('Squared error')
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ax.set_ylabel('Frequency')
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bins = np.arange(0.0, 1250.0, 100)
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@ -85,18 +71,16 @@ def plot_error_hist(ax, x, y, c):
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xytext=(800, 3), textcoords='data', ha='left',
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arrowprops=dict(arrowstyle="->", relpos=(0.0,0.2),
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connectionstyle="angle3,angleA=10,angleB=90") )
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ax.hist(errors, bins, color='#FF9900')
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ax.hist(errors, bins, color=colors['orange'])
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if __name__ == "__main__":
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x, y, c = create_data()
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plt.xkcd()
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fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(7., 2.6))
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plot_data(ax1, x, y, c)
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plot_data_errors(ax2, x, y, c)
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#plot_error_hist(ax2, x, y, c)
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fig.set_facecolor("white")
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fig.tight_layout()
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fig.savefig("cubicerrors.pdf")
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plt.close()
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@ -1,5 +1,6 @@
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import matplotlib.pyplot as plt
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import numpy as np
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from plotstyle import colors, show_spines
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if __name__ == "__main__":
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# wikipedia:
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@ -12,21 +13,15 @@ if __name__ == "__main__":
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noise = rng.randn(len(x))*50
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y += noise
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plt.xkcd()
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fig, ax = plt.subplots(figsize=(7., 3.6))
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ax.scatter(x, y, marker='o', color='b', s=40, zorder=10)
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ax.scatter(x, y, marker='o', color=colors['blue'], s=40, zorder=10)
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xx = np.linspace(2.1, 3.9, 100)
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ax.plot(xx, c*xx**3.0, color='#CC0000', lw=3, zorder=5)
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ax.plot(xx, c*xx**3.0, color=colors['red'], lw=3, zorder=5)
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for cc in [0.25*c, 0.5*c, 2.0*c, 4.0*c]:
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ax.plot(xx, cc*xx**3.0, color='#FF9900', lw=2, zorder=5)
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ax.plot(xx, cc*xx**3.0, color=colors['orange'], lw=2, zorder=5)
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ax.spines["right"].set_visible(False)
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ax.spines["top"].set_visible(False)
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ax.yaxis.set_ticks_position('left')
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ax.xaxis.set_ticks_position('bottom')
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ax.tick_params(direction="out", width=1.25)
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ax.tick_params(direction="out", width=1.25)
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show_spines(ax, 'lb')
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ax.set_xlabel('Size x / m')
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ax.set_ylabel('Weight y / kg')
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ax.set_xlim(2, 4)
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@ -34,7 +29,6 @@ if __name__ == "__main__":
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ax.set_xticks(np.arange(2.0, 4.1, 0.5))
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ax.set_yticks(np.arange(0, 401, 100))
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fig.set_facecolor("white")
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fig.subplots_adjust(0.11, 0.16, 0.98, 0.97)
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fig.savefig("cubicfunc.pdf")
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plt.close()
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@ -1,5 +1,6 @@
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import matplotlib.pyplot as plt
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import numpy as np
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from plotstyle import colors, show_spines
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def create_data():
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# wikipedia:
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@ -38,9 +39,9 @@ def plot_mse(ax, x, y, c, cs):
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for i, cc in enumerate(ccs):
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mses[i] = np.mean((y-(cc*x**3.0))**2.0)
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ax.plot(ccs, mses, 'b', lw=2, zorder=10)
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ax.scatter(cs, ms, color='#cc0000', s=40, zorder=20)
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ax.scatter(cs[-1], ms[-1], color='#FF9900', s=60, zorder=30)
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ax.plot(ccs, mses, colors['blue'], lw=2, zorder=10)
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ax.scatter(cs, ms, color=colors['red'], s=40, zorder=20)
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ax.scatter(cs[-1], ms[-1], color=colors['orange'], s=60, zorder=30)
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for i in range(4):
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ax.annotate('',
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xy=(cs[i+1]+0.2, ms[i+1]), xycoords='data',
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@ -49,12 +50,7 @@ def plot_mse(ax, x, y, c, cs):
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connectionstyle="angle3,angleA=10,angleB=70") )
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ax.spines["right"].set_visible(False)
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ax.spines["top"].set_visible(False)
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ax.yaxis.set_ticks_position('left')
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ax.xaxis.set_ticks_position('bottom')
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ax.tick_params(direction="out", width=1.25)
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ax.tick_params(direction="out", width=1.25)
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show_spines(ax, 'lb')
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ax.set_xlabel('c')
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ax.set_ylabel('mean squared error')
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ax.set_xlim(0, 10)
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@ -63,14 +59,9 @@ def plot_mse(ax, x, y, c, cs):
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ax.set_yticks(np.arange(0, 30001, 10000))
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def plot_descent(ax, cs, mses):
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ax.plot(np.arange(len(mses))+1, mses, '-o', c='#cc0000', mew=0, ms=8)
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ax.plot(np.arange(len(mses))+1, mses, '-o', c=colors['red'], mew=0, ms=8)
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ax.spines["right"].set_visible(False)
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ax.spines["top"].set_visible(False)
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ax.yaxis.set_ticks_position('left')
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ax.xaxis.set_ticks_position('bottom')
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ax.tick_params(direction="out", width=1.25)
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ax.tick_params(direction="out", width=1.25)
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show_spines(ax, 'lb')
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ax.set_xlabel('iteration')
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#ax.set_ylabel('mean squared error')
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ax.set_xlim(0, 10.5)
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@ -83,11 +74,9 @@ def plot_descent(ax, cs, mses):
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if __name__ == "__main__":
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x, y, c = create_data()
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cs, mses = gradient_descent(x, y)
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plt.xkcd()
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fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(7., 2.6))
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plot_mse(ax1, x, y, c, cs)
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plot_descent(ax2, cs, mses)
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fig.set_facecolor("white")
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fig.tight_layout()
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fig.savefig("cubicmse.pdf")
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plt.close()
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