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catalogue.py
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catalogue.py
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# ----------------------------------------------------------------------------
# Title: Scientific Visualisation - Python & Matplotlib
# Author: Nicolas P. Rougier
# License: BSD
# ----------------------------------------------------------------------------
import numpy as np
import matplotlib.pyplot as plt
from matplotlib.text import Text
from matplotlib.lines import Line2D
from mpl_toolkits.mplot3d import Axes3D
from matplotlib.patches import Rectangle, Polygon
def clip_path(ax):
T1 = [(0,0),(0,1),(1,1)]
T2 = [(0,0),(1,0),(1,1)]
clip1 = Polygon(T1, closed=True, transform=ax.transAxes,
edgecolor='None', facecolor='None')
clip2 = Polygon(T2, closed=True, transform=ax.transAxes,
edgecolor='None', facecolor='None')
line = Line2D([0, 1], [0, 1], transform=ax.transAxes, linewidth=0.5,
color="black", clip_on=False, zorder=50)
ax.add_artist(line)
return clip1, clip2
def scatter(ax):
np.random.seed(123)
n = 500
X = np.random.normal(0, 0.5, n)
Y = np.random.normal(0, 0.5, n)
S = 25
clip1, clip2 = clip_path(ax)
ax.scatter(X, Y, S, clip_path=clip1,
linewidth=0.75, facecolor="None", edgecolor=".25")
ax.scatter(X, Y, S, clip_path=clip1,
linewidth=0.00, facecolor="white", edgecolor="None")
ax.scatter(X, Y, S/2, clip_path=clip1,
linewidth=0.00, facecolor="black", edgecolor="None", alpha=0.5)
ax.scatter(X, Y, S, clip_path=clip2,
linewidth=0.75, facecolor="None", edgecolor=".25")
ax.scatter(X, Y, S, clip_path=clip2,
linewidth=0.00, facecolor="white", edgecolor="None")
ax.scatter(X, Y, S/2, clip_path=clip2,
linewidth=0.00, facecolor="red", edgecolor="None", alpha=0.5)
ax.text(0.0, -0.08, 'Scatter plot',
color='k',
ha='left',
size=8,
transform=ax.transAxes)
ax.text(1.0, -0.08, 'ax.scatter()',
color='blue',
ha='right',
size=8,
transform=ax.transAxes,
family="monospace")
def lineplot(ax):
clip1, clip2 = clip_path(ax)
X = np.linspace(-1,1,100)
Y = 0.25*np.cos(1+np.pi*X)
ax.plot(X, Y, color="black", linewidth=2, clip_path=clip1)
ax.fill_between(X, Y+0.25, Y-0.25, clip_path=clip1,
facecolor="black", edgecolor="None", alpha=0.15)
X = np.linspace(-1,1,100)
Y = 0.25*np.cos(1+np.pi*X)
ax.plot(X, Y, color="red", linewidth=2, clip_path=clip2)
ax.fill_between(X, Y+0.25, Y-0.25, clip_path=clip2,
facecolor="red", edgecolor="None", alpha=0.15)
ax.text(0.0, -0.08, 'Line plot',
color='k',
ha='left',
size=8,
transform=ax.transAxes)
ax.text(1.0, -0.08, 'ax.plot()',
color='blue',
ha='right',
size=8,
transform=ax.transAxes,
family="monospace")
def quiverplot(ax):
clip1, clip2 = clip_path(ax)
n = 10
X,Y = np.mgrid[0:n, 0:n]
X,Y = 2*X/(n-1)-1, 2*Y/(n-1)-1
T = np.arctan2(Y, X)
U, V = np.cos(T), np.sin(T)
ax.quiver(X, Y, 0.1*U, 0.1*V, scale=1, width=0.015, clip_path=clip1,
edgecolor='black', facecolor='.9', linewidth=.5)
ax.quiver(X, Y, 0.1*U, 0.1*V, T-1, scale=1, width=0.015, clip_path=clip2,
edgecolor='black', linewidth=.5, cmap="hot")
ax.text(0.0, -0.08, 'Quiver plot',
color='k',
ha='left',
size=8,
transform=ax.transAxes)
ax.text(1.0, -0.08, 'ax.quiver()',
color='blue',
ha='right',
size=8,
transform=ax.transAxes,
family="monospace")
def contourplot(ax):
clip1, clip2 = clip_path(ax)
def f(x,y): return (1-x/2+x**5+y**3)*np.exp(-x**2-y**2)
n = 100
x = np.linspace(-3,3,n)
y = np.linspace(-3,3,n)
X,Y = np.meshgrid(x,y)
Z = f(X,Y)
CF = ax.contourf(Z, 10, extent=[-1,+1,-1,+1], alpha=.5,
origin="upper", cmap="gray", zorder=-10)
for collection in CF.collections:
collection.set_clip_path(clip1)
CS = ax.contour(Z, 10, extent=[-1,+1,-1,+1],
colors="black", linewidths=.5, origin="upper")
for collection in CS.collections:
collection.set_clip_path(clip1)
CF = ax.contourf(Z, 10, extent=[-1,+1,-1,+1], alpha=.75,
origin="upper", cmap="viridis", zorder=-10)
for collection in CF.collections:
collection.set_clip_path(clip2)
CS = ax.contour(Z, 10, extent=[-1,+1,-1,+1],
colors="white", linewidths=.5, origin="upper")
for collection in CS.collections:
collection.set_clip_path(clip2)
ax.text(0.0, -0.08, 'Contour plot',
color='k',
ha='left',
size=8,
transform=ax.transAxes)
ax.text(1.0, -0.08, 'ax.contour()',
color='blue',
ha='right',
size=8,
transform=ax.transAxes,
family="monospace")
def imageplot(ax):
def f(x,y): return (1-x/2+x**5+y**3)*np.exp(-x**2-y**2)
n = 32
x = np.linspace(-3,3,n)
y = np.linspace(-3,3,n)
X,Y = np.meshgrid(x,y)
Z = f(X,Y)
clip1, clip2 = clip_path(ax)
ax.imshow(Z, extent=[-1,+1,-1,+1], origin="upper", zorder=50,
cmap="gray", interpolation="nearest", clip_path=clip1)
ax.imshow(Z, extent=[-1,+1,-1,+1], origin="upper",
cmap="hot", interpolation="bicubic", clip_path=clip2)
ax.text(0.0, -0.08, 'Image plot',
color='k',
ha='left',
size=8,
transform=ax.transAxes)
ax.text(1.0, -0.08, 'ax.imshow()',
color='blue',
ha='right',
size=8,
transform=ax.transAxes,
family="monospace")
def pieplot(ax):
clip1, clip2 = clip_path(ax)
size = 0.3
vals = np.array([[60., 32.], [37., 40.], [29., 10.]])
cmap = plt.get_cmap("gray")
outer_colors = cmap(.1+np.arange(3)/4)
inner_colors = cmap(np.array([1, 2, 5, 6, 9, 10])/12)
patches, _ = ax.pie(vals.sum(axis=1), radius=1, colors=outer_colors,
wedgeprops=dict(width=size, edgecolor='w'))
for patch in patches:
patch.set_clip_on(True)
patch.set_clip_path(clip1)
patches, _ = ax.pie(vals.flatten(), radius=1-size, colors=inner_colors,
wedgeprops=dict(width=size, edgecolor='w'))
for patch in patches:
patch.set_clip_on(True)
patch.set_clip_path (clip1)
cmap = plt.get_cmap("tab20c")
outer_colors = cmap(+np.arange(3))
inner_colors = cmap(np.array([1, 2, 5, 6, 9, 10]))
patches, _ = ax.pie(vals.sum(axis=1), radius=1, colors=outer_colors,
wedgeprops=dict(width=size, edgecolor='w'))
for patch in patches:
patch.set_clip_on(True)
patch.set_clip_path(clip2)
patches, _ = ax.pie(vals.flatten(), radius=1-size, colors=inner_colors,
wedgeprops=dict(width=size, edgecolor='w'))
for patch in patches:
patch.set_clip_on(True)
patch.set_clip_path (clip2)
rect = Rectangle((0,0), 1, 1, transform=ax.transAxes, linewidth=0.75,
edgecolor="black", facecolor="None", clip_on=False)
ax.add_artist(rect)
ax.text(0.0, -0.08, 'Pie plot',
color='k',
ha='left',
size=8,
transform=ax.transAxes)
ax.text(1.0, -0.08, 'ax.pie()',
color='blue',
ha='right',
size=8,
transform=ax.transAxes,
family="monospace")
def threedplot(ax):
T1 = [(0,0),(0,1),(1,1)]
T2 = [(0,0),(1,0),(1,1)]
clip1 = Polygon(T1, closed=True, transform=ax.transAxes,
edgecolor='None', facecolor='None')
clip2 = Polygon(T2, closed=True, transform=ax.transAxes,
edgecolor='None', facecolor='None')
ax.set_axis_off()
ax.set_xlim(-1, 1), ax.set_ylim(-1, 1), ax.set_zlim(-2, 2)
X,Y= np.meshgrid(np.linspace(-1, 1, 25),
np.linspace(-1, 1, 25))
Z = np.sin(5*np.sqrt(X**2+Y**2))
ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap="gray", clip_path=clip1,
linewidth=.25, edgecolor="black", vmin=-1.5, vmax=1)
ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap="magma", clip_path=clip2,
linewidth=0, edgecolor="black", vmin=-1.5, vmax=1)
line = Line2D([0, 1], [0, 1], transform=ax.transAxes, linewidth=0.5,
color="black", clip_on=False, zorder=10)
ax.add_artist(line)
rect = Rectangle((0,0), 1, 1, transform=ax.transAxes, linewidth=0.75,
edgecolor="black", facecolor="None", clip_on=False)
ax.add_artist(rect)
text = Text(0.0, -0.08, "3D plot",
clip_on=False,
size=8,
ha="left",
transform=ax.transAxes)
ax.add_artist(text)
text = Text(1.0, -0.08, 'ax.plot_surface()',
color='blue',
clip_on=False,
size=8,
ha="right",
transform=ax.transAxes,
family="monospace")
ax.add_artist(text)
def barplot(ax):
clip1, clip2 = clip_path(ax)
n = 16
X = np.arange(n)
Y1 = (1-0.25*X/n) * np.random.uniform(0.25, 0.75, n)
Y2 = (1-0.25*X/n) * np.random.uniform(0.25, 0.75, n)
ax.bar(X, +Y1, 1, facecolor='#cccccc', edgecolor='white', clip_path=clip1)
ax.bar(X, -Y2, 1, facecolor='#999999', edgecolor='white', clip_path=clip1)
ax.bar(X, +Y1, 1, facecolor='#ffaaaa', edgecolor='white', clip_path=clip2)
ax.bar(X, -Y2, 1, facecolor='#ff7777', edgecolor='white', clip_path=clip2)
ax.set_xlim(-1,n)
ax.text(0.0, -0.08, 'Bar plot',
color='k',
ha='left',
size=8,
transform=ax.transAxes)
ax.text(1.0, -0.08, 'ax.bar()',
color='blue',
ha='right',
size=8,
transform=ax.transAxes,
family="monospace")
def boxplot(ax):
clip1, clip2 = clip_path(ax)
n = 5
data = np.random.normal(0, .25, (100,n))
bplots = ax.boxplot(data, patch_artist=True)
for patch in bplots['boxes']:
patch.set_facecolor("0.9")
for line in bplots['medians']:
line.set_color("black")
for element in ["boxes","medians","whiskers", "caps", "fliers","means"]:
for item in bplots[element]:
item.set_clip_path(clip1)
bplots = ax.boxplot(data, patch_artist=True)
for patch in bplots['boxes']:
patch.set_facecolor("0.9")
for line in bplots['medians']:
line.set_color("black")
for element in ["boxes","medians","whiskers", "caps", "fliers","means"]:
for item in bplots[element]:
item.set_color("red")
try:
item.set_markerfacecolor ("red")
item.set_markeredgecolor ("red")
except:
pass
item.set_clip_path(clip2)
ax.set_xlim(0,n+1), ax.set_xticks([])
ax.text(0.0, -0.08, 'Box plot',
color='k',
ha='left',
size=8,
transform=ax.transAxes)
ax.text(1.0, -0.08, 'ax.boxplot()',
color='blue',
ha='right',
size=8,
transform=ax.transAxes,
family="monospace")
fig, axes = plt.subplots(3, 3, figsize=(8, 8))
for ax in axes.ravel():
ax.set(xticks=[], yticks=[], xlim=[-1,1], ylim=[-1,1])
axes[2,2] = plt.subplot(339, projection="3d")
lineplot(axes[0,0])
scatter(axes[0,1])
barplot(axes[0,2])
imageplot(axes[1,0])
contourplot(axes[1,1])
boxplot(axes[1,2])
quiverplot(axes[2,0])
pieplot(axes[2,1])
threedplot(axes[2,2])
plt.savefig("catalogue.pdf")
plt.show()