/usr/share/pyshared/matplotlib/tests/test_delaunay.py is in python-matplotlib 1.1.1~rc1+git20120423-0ubuntu1.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 | import numpy as np
from matplotlib.testing.decorators import image_comparison, knownfailureif
from matplotlib.delaunay.triangulate import Triangulation
from matplotlib import pyplot as plt
import matplotlib as mpl
def constant(x, y):
return np.ones(x.shape, x.dtype)
constant.title = 'Constant'
def xramp(x, y):
return x
xramp.title = 'X Ramp'
def yramp(x, y):
return y
yramp.title = 'Y Ramp'
def exponential(x, y):
x = x*9
y = y*9
x1 = x+1.0
x2 = x-2.0
x4 = x-4.0
x7 = x-7.0
y1 = x+1.0
y2 = y-2.0
y3 = y-3.0
y7 = y-7.0
f = (0.75 * np.exp(-(x2*x2+y2*y2)/4.0) +
0.75 * np.exp(-x1*x1/49.0 - y1/10.0) +
0.5 * np.exp(-(x7*x7 + y3*y3)/4.0) -
0.2 * np.exp(-x4*x4 -y7*y7))
return f
exponential.title = 'Exponential and Some Gaussians'
def cliff(x, y):
f = np.tanh(9.0*(y-x) + 1.0)/9.0
return f
cliff.title = 'Cliff'
def saddle(x, y):
f = (1.25 + np.cos(5.4*y))/(6.0 + 6.0*(3*x-1.0)**2)
return f
saddle.title = 'Saddle'
def gentle(x, y):
f = np.exp(-5.0625*((x-0.5)**2+(y-0.5)**2))/3.0
return f
gentle.title = 'Gentle Peak'
def steep(x, y):
f = np.exp(-20.25*((x-0.5)**2+(y-0.5)**2))/3.0
return f
steep.title = 'Steep Peak'
def sphere(x, y):
circle = 64-81*((x-0.5)**2 + (y-0.5)**2)
f = np.where(circle >= 0, np.sqrt(np.clip(circle,0,100)) - 0.5, 0.0)
return f
sphere.title = 'Sphere'
def trig(x, y):
f = 2.0*np.cos(10.0*x)*np.sin(10.0*y) + np.sin(10.0*x*y)
return f
trig.title = 'Cosines and Sines'
def gauss(x, y):
x = 5.0-10.0*x
y = 5.0-10.0*y
g1 = np.exp(-x*x/2)
g2 = np.exp(-y*y/2)
f = g1 + 0.75*g2*(1 + g1)
return f
gauss.title = 'Gaussian Peak and Gaussian Ridges'
def cloverleaf(x, y):
ex = np.exp((10.0-20.0*x)/3.0)
ey = np.exp((10.0-20.0*y)/3.0)
logitx = 1.0/(1.0+ex)
logity = 1.0/(1.0+ey)
f = (((20.0/3.0)**3 * ex*ey)**2 * (logitx*logity)**5 *
(ex-2.0*logitx)*(ey-2.0*logity))
return f
cloverleaf.title = 'Cloverleaf'
def cosine_peak(x, y):
circle = np.hypot(80*x-40.0, 90*y-45.)
f = np.exp(-0.04*circle) * np.cos(0.15*circle)
return f
cosine_peak.title = 'Cosine Peak'
allfuncs = [exponential, cliff, saddle, gentle, steep, sphere, trig, gauss, cloverleaf, cosine_peak]
class LinearTester(object):
name = 'Linear'
def __init__(self, xrange=(0.0, 1.0), yrange=(0.0, 1.0), nrange=101, npoints=250):
self.xrange = xrange
self.yrange = yrange
self.nrange = nrange
self.npoints = npoints
rng = np.random.RandomState(1234567890)
self.x = rng.uniform(xrange[0], xrange[1], size=npoints)
self.y = rng.uniform(yrange[0], yrange[1], size=npoints)
self.tri = Triangulation(self.x, self.y)
def replace_data(self, dataset):
self.x = dataset.x
self.y = dataset.y
self.tri = Triangulation(self.x, self.y)
def interpolator(self, func):
z = func(self.x, self.y)
return self.tri.linear_extrapolator(z, bbox=self.xrange+self.yrange)
def plot(self, func, interp=True, plotter='imshow'):
if interp:
lpi = self.interpolator(func)
z = lpi[self.yrange[0]:self.yrange[1]:complex(0,self.nrange),
self.xrange[0]:self.xrange[1]:complex(0,self.nrange)]
else:
y, x = np.mgrid[self.yrange[0]:self.yrange[1]:complex(0,self.nrange),
self.xrange[0]:self.xrange[1]:complex(0,self.nrange)]
z = func(x, y)
z = np.where(np.isinf(z), 0.0, z)
extent = (self.xrange[0], self.xrange[1],
self.yrange[0], self.yrange[1])
fig = plt.figure()
plt.hot() # Some like it hot
if plotter == 'imshow':
plt.imshow(np.nan_to_num(z), interpolation='nearest', extent=extent, origin='lower')
elif plotter == 'contour':
Y, X = np.ogrid[self.yrange[0]:self.yrange[1]:complex(0,self.nrange),
self.xrange[0]:self.xrange[1]:complex(0,self.nrange)]
plt.contour(np.ravel(X), np.ravel(Y), z, 20)
x = self.x
y = self.y
lc = mpl.collections.LineCollection(np.array([((x[i], y[i]), (x[j], y[j]))
for i, j in self.tri.edge_db]), colors=[(0,0,0,0.2)])
ax = plt.gca()
ax.add_collection(lc)
if interp:
title = '%s Interpolant' % self.name
else:
title = 'Reference'
if hasattr(func, 'title'):
plt.title('%s: %s' % (func.title, title))
else:
plt.title(title)
class NNTester(LinearTester):
name = 'Natural Neighbors'
def interpolator(self, func):
z = func(self.x, self.y)
return self.tri.nn_extrapolator(z, bbox=self.xrange+self.yrange)
def make_all_testfuncs(allfuncs=allfuncs):
def make_test(func):
filenames = [
'%s-%s' % (func.func_name, x) for x in
['ref-img', 'nn-img', 'lin-img', 'ref-con', 'nn-con', 'lin-con']]
# We only generate PNGs to save disk space -- we just assume
# that any backend differences are caught by other tests.
@image_comparison(filenames, extensions=['png'],
freetype_version=('2.4.5', '2.4.9'))
def reference_test():
nnt.plot(func, interp=False, plotter='imshow')
nnt.plot(func, interp=True, plotter='imshow')
lpt.plot(func, interp=True, plotter='imshow')
nnt.plot(func, interp=False, plotter='contour')
nnt.plot(func, interp=True, plotter='contour')
lpt.plot(func, interp=True, plotter='contour')
tester = reference_test
tester.__name__ = 'test_%s' % func.func_name
return tester
nnt = NNTester(npoints=1000)
lpt = LinearTester(npoints=1000)
for func in allfuncs:
globals()['test_%s' % func.func_name] = make_test(func)
make_all_testfuncs()
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