##// END OF EJS Templates
More work on the kernel.
Brian Granger -
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@@ -0,0 +1,90 b''
1 from numpy import *
2
3 def mandel(n, m, itermax, xmin, xmax, ymin, ymax):
4 '''
5 Fast mandelbrot computation using numpy.
6
7 (n, m) are the output image dimensions
8 itermax is the maximum number of iterations to do
9 xmin, xmax, ymin, ymax specify the region of the
10 set to compute.
11 '''
12 # The point of ix and iy is that they are 2D arrays
13 # giving the x-coord and y-coord at each point in
14 # the array. The reason for doing this will become
15 # clear below...
16 ix, iy = mgrid[0:n, 0:m]
17 # Now x and y are the x-values and y-values at each
18 # point in the array, linspace(start, end, n)
19 # is an array of n linearly spaced points between
20 # start and end, and we then index this array using
21 # numpy fancy indexing. If A is an array and I is
22 # an array of indices, then A[I] has the same shape
23 # as I and at each place i in I has the value A[i].
24 x = linspace(xmin, xmax, n)[ix]
25 y = linspace(ymin, ymax, m)[iy]
26 # c is the complex number with the given x, y coords
27 c = x+complex(0,1)*y
28 del x, y # save a bit of memory, we only need z
29 # the output image coloured according to the number
30 # of iterations it takes to get to the boundary
31 # abs(z)>2
32 img = zeros(c.shape, dtype=int)
33 # Here is where the improvement over the standard
34 # algorithm for drawing fractals in numpy comes in.
35 # We flatten all the arrays ix, iy and c. This
36 # flattening doesn't use any more memory because
37 # we are just changing the shape of the array, the
38 # data in memory stays the same. It also affects
39 # each array in the same way, so that index i in
40 # array c has x, y coords ix[i], iy[i]. The way the
41 # algorithm works is that whenever abs(z)>2 we
42 # remove the corresponding index from each of the
43 # arrays ix, iy and c. Since we do the same thing
44 # to each array, the correspondence between c and
45 # the x, y coords stored in ix and iy is kept.
46 ix.shape = n*m
47 iy.shape = n*m
48 c.shape = n*m
49 # we iterate z->z^2+c with z starting at 0, but the
50 # first iteration makes z=c so we just start there.
51 # We need to copy c because otherwise the operation
52 # z->z^2 will send c->c^2.
53 z = copy(c)
54 for i in xrange(itermax):
55 if not len(z): break # all points have escaped
56 # equivalent to z = z*z+c but quicker and uses
57 # less memory
58 multiply(z, z, z)
59 add(z, c, z)
60 # these are the points that have escaped
61 rem = abs(z)>2.0
62 # colour them with the iteration number, we
63 # add one so that points which haven't
64 # escaped have 0 as their iteration number,
65 # this is why we keep the arrays ix and iy
66 # because we need to know which point in img
67 # to colour
68 img[ix[rem], iy[rem]] = i+1
69 # -rem is the array of points which haven't
70 # escaped, in numpy -A for a boolean array A
71 # is the NOT operation.
72 rem = -rem
73 # So we select out the points in
74 # z, ix, iy and c which are still to be
75 # iterated on in the next step
76 z = z[rem]
77 ix, iy = ix[rem], iy[rem]
78 c = c[rem]
79 return img
80
81 if __name__=='__main__':
82 from pylab import *
83 import time
84 start = time.time()
85 I = mandel(400, 400, 100, -2, .5, -1.25, 1.25)
86 print 'Time taken:', time.time()-start
87 I[I==0] = 101
88 img = imshow(I.T, origin='lower left')
89 img.write_png('mandel.png', noscale=True)
90 show()
@@ -228,13 +228,13 b' class AppWithClusterDirArgParseConfigLoader(ArgParseConfigLoader):'
228 228 """Default command line options for IPython cluster applications."""
229 229
230 230 def _add_other_arguments(self):
231 self.parser.add_argument('-ipythondir', '--ipython-dir',
231 self.parser.add_argument('--ipython-dir',
232 232 dest='Global.ipythondir',type=str,
233 233 help='Set to override default location of Global.ipythondir.',
234 234 default=NoConfigDefault,
235 235 metavar='Global.ipythondir'
236 236 )
237 self.parser.add_argument('-p','-profile', '--profile',
237 self.parser.add_argument('-p', '--profile',
238 238 dest='Global.profile',type=str,
239 239 help='The string name of the profile to be used. This determines '
240 240 'the name of the cluster dir as: cluster_<profile>. The default profile '
@@ -243,25 +243,25 b' class AppWithClusterDirArgParseConfigLoader(ArgParseConfigLoader):'
243 243 default=NoConfigDefault,
244 244 metavar='Global.profile'
245 245 )
246 self.parser.add_argument('-log_level', '--log-level',
246 self.parser.add_argument('--log-level',
247 247 dest="Global.log_level",type=int,
248 248 help='Set the log level (0,10,20,30,40,50). Default is 30.',
249 249 default=NoConfigDefault,
250 250 metavar="Global.log_level"
251 251 )
252 self.parser.add_argument('-cluster_dir', '--cluster-dir',
252 self.parser.add_argument('--cluster-dir',
253 253 dest='Global.cluster_dir',type=str,
254 254 help='Set the cluster dir. This overrides the logic used by the '
255 255 '--profile option.',
256 256 default=NoConfigDefault,
257 257 metavar='Global.cluster_dir'
258 258 )
259 self.parser.add_argument('-clean_logs', '--clean-logs',
259 self.parser.add_argument('--clean-logs',
260 260 dest='Global.clean_logs', action='store_true',
261 261 help='Delete old log flies before starting.',
262 262 default=NoConfigDefault
263 263 )
264 self.parser.add_argument('-noclean_logs', '--no-clean-logs',
264 self.parser.add_argument('--no-clean-logs',
265 265 dest='Global.clean_logs', action='store_false',
266 266 help="Don't Delete old log flies before starting.",
267 267 default=NoConfigDefault
@@ -50,12 +50,12 b' class IPClusterCLLoader(ArgParseConfigLoader):'
50 50 def _add_arguments(self):
51 51 # This has all the common options that all subcommands use
52 52 parent_parser1 = argparse.ArgumentParser(add_help=False)
53 parent_parser1.add_argument('-ipythondir', '--ipython-dir',
53 parent_parser1.add_argument('--ipython-dir',
54 54 dest='Global.ipythondir',type=str,
55 55 help='Set to override default location of Global.ipythondir.',
56 56 default=NoConfigDefault,
57 57 metavar='Global.ipythondir')
58 parent_parser1.add_argument('-log_level', '--log-level',
58 parent_parser1.add_argument('--log-level',
59 59 dest="Global.log_level",type=int,
60 60 help='Set the log level (0,10,20,30,40,50). Default is 30.',
61 61 default=NoConfigDefault,
@@ -63,7 +63,7 b' class IPClusterCLLoader(ArgParseConfigLoader):'
63 63
64 64 # This has all the common options that other subcommands use
65 65 parent_parser2 = argparse.ArgumentParser(add_help=False)
66 parent_parser2.add_argument('-p','-profile', '--profile',
66 parent_parser2.add_argument('-p','--profile',
67 67 dest='Global.profile',type=str,
68 68 default=NoConfigDefault,
69 69 help='The string name of the profile to be used. This determines '
@@ -72,7 +72,7 b' class IPClusterCLLoader(ArgParseConfigLoader):'
72 72 'if the --cluster-dir option is not used.',
73 73 default=NoConfigDefault,
74 74 metavar='Global.profile')
75 parent_parser2.add_argument('-cluster_dir', '--cluster-dir',
75 parent_parser2.add_argument('--cluster-dir',
76 76 dest='Global.cluster_dir',type=str,
77 77 default=NoConfigDefault,
78 78 help='Set the cluster dir. This overrides the logic used by the '
@@ -124,22 +124,22 b' class IPClusterCLLoader(ArgParseConfigLoader):'
124 124 help='The number of engines to start.',
125 125 metavar='Global.n'
126 126 )
127 parser_start.add_argument('-clean_logs', '--clean-logs',
127 parser_start.add_argument('--clean-logs',
128 128 dest='Global.clean_logs', action='store_true',
129 129 help='Delete old log flies before starting.',
130 130 default=NoConfigDefault
131 131 )
132 parser_start.add_argument('-noclean_logs', '--no-clean-logs',
132 parser_start.add_argument('--no-clean-logs',
133 133 dest='Global.clean_logs', action='store_false',
134 134 help="Don't delete old log flies before starting.",
135 135 default=NoConfigDefault
136 136 )
137 parser_start.add_argument('--daemon', '-daemon',
137 parser_start.add_argument('--daemon',
138 138 dest='Global.daemonize', action='store_true',
139 139 help='Daemonize the ipcluster program. This implies --log-to-file',
140 140 default=NoConfigDefault
141 141 )
142 parser_start.add_argument('--nodaemon', '-nodaemon',
142 parser_start.add_argument('--nodaemon',
143 143 dest='Global.daemonize', action='store_false',
144 144 help="Dont't daemonize the ipcluster program.",
145 145 default=NoConfigDefault
@@ -150,9 +150,10 b' class IPClusterCLLoader(ArgParseConfigLoader):'
150 150 help='Stop a cluster.',
151 151 parents=[parent_parser1, parent_parser2]
152 152 )
153 parser_start.add_argument('-sig', '--sig',
153 parser_start.add_argument('--signal-number',
154 154 dest='Global.stop_signal', type=int,
155 155 help="The signal number to use in stopping the cluster (default=2).",
156 metavar="Global.stop_signal",
156 157 default=NoConfigDefault
157 158 )
158 159
@@ -339,7 +340,9 b' class IPClusterApp(ApplicationWithClusterDir):'
339 340 'Cluster is already running with [pid=%s]. '
340 341 'use "ipcluster stop" to stop the cluster.' % pid
341 342 )
342 sys.exit(9)
343 # Here I exit with a unusual exit status that other processes
344 # can watch for to learn how I existed.
345 sys.exit(10)
343 346 # Now log and daemonize
344 347 self.log.info('Starting ipcluster with [daemon=%r]' % config.Global.daemonize)
345 348 if config.Global.daemonize:
@@ -359,7 +362,9 b' class IPClusterApp(ApplicationWithClusterDir):'
359 362 self.log.critical(
360 363 'Problem reading pid file, cluster is probably not running.'
361 364 )
362 sys.exit(9)
365 # Here I exit with a unusual exit status that other processes
366 # can watch for to learn how I existed.
367 sys.exit(11)
363 368 sig = config.Global.stop_signal
364 369 self.log.info(
365 370 "Stopping cluster [pid=%r] with [signal=%r]" % (pid, sig)
@@ -160,9 +160,13 b' cl_args = ('
160 160 'are deleted before the controller starts. This must be set if '
161 161 'specific ports are specified by --engine-port or --client-port.')
162 162 ),
163 (('-ns','--no-security'), dict(
163 (('--no-secure',), dict(
164 164 action='store_false', dest='Global.secure', default=NoConfigDefault,
165 165 help='Turn off SSL encryption for all connections.')
166 ),
167 (('--secure',), dict(
168 action='store_true', dest='Global.secure', default=NoConfigDefault,
169 help='Turn off SSL encryption for all connections.')
166 170 )
167 171 )
168 172
@@ -1,13 +1,20 b''
1 1 """Count the frequencies of words in a string"""
2 2
3 from __future__ import division
4
5 import cmath as math
6
7
3 8 def wordfreq(text):
4 9 """Return a dictionary of words and word counts in a string."""
5 10
6 11 freqs = {}
7 12 for word in text.split():
8 freqs[word] = freqs.get(word, 0) + 1
13 lword = word.lower()
14 freqs[lword] = freqs.get(lword, 0) + 1
9 15 return freqs
10 16
17
11 18 def print_wordfreq(freqs, n=10):
12 19 """Print the n most common words and counts in the freqs dict."""
13 20
@@ -17,7 +24,43 b' def print_wordfreq(freqs, n=10):'
17 24 for (count, word) in items[:n]:
18 25 print word, count
19 26
20 if __name__ == '__main__':
21 import gzip
22 text = gzip.open('HISTORY.gz').read()
23 freqs = wordfreq(text) No newline at end of file
27
28 def wordfreq_to_weightsize(worddict, minsize=10, maxsize=50, minalpha=0.4, maxalpha=1.0):
29 mincount = min(worddict.itervalues())
30 maxcount = max(worddict.itervalues())
31 weights = {}
32 for k, v in worddict.iteritems():
33 w = (v-mincount)/(maxcount-mincount)
34 alpha = minalpha + (maxalpha-minalpha)*w
35 size = minsize + (maxsize-minsize)*w
36 weights[k] = (alpha, size)
37 return weights
38
39
40 def tagcloud(worddict, n=10, minsize=10, maxsize=50, minalpha=0.4, maxalpha=1.0):
41 from matplotlib import pyplot as plt
42 import random
43
44 worddict = wordfreq_to_weightsize(worddict, minsize, maxsize, minalpha, maxalpha)
45
46 fig = plt.figure()
47 ax = fig.add_subplot(111)
48 ax.set_position([0.0,0.0,1.0,1.0])
49 plt.xticks([])
50 plt.yticks([])
51
52 words = worddict.keys()
53 alphas = [v[0] for v in worddict.values()]
54 sizes = [v[1] for v in worddict.values()]
55 items = zip(alphas, sizes, words)
56 items.sort(reverse=True)
57 for alpha, size, word in items[:n]:
58 xpos = random.normalvariate(0.5, 0.3)
59 ypos = random.normalvariate(0.5, 0.3)
60 # xpos = random.uniform(0.0,1.0)
61 # ypos = random.uniform(0.0,1.0)
62 ax.text(xpos, ypos, word.lower(), alpha=alpha, fontsize=size)
63 ax.autoscale_view()
64 return ax
65
66 No newline at end of file
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