On Jan 29, 2008 3:57 AM, Reineke <[EMAIL PROTECTED]> wrote:
>
> Hi,
>
> I get the following error when I'm trying to use show or save:
>
> -----
>   File "/Applications/sage/local/lib/python2.5/site-packages/sympy/
> plotting/", line 1, in <module>
>
>   File "/Applications/sage/local/lib/python2.5/site-packages/sympy/
> plotting/plot.py", line 721, in show
>
>   File "/Applications/sage/local/lib/python2.5/site-packages/sympy/
> plotting/plot.py", line 792, in save
>
>   File "/Users/was/build/sage-2.10/local/lib/python2.5/site-packages/
> matplotlib/figure.py", line 8, in <module>
>   File "/Users/was/build/sage-2.10/local/lib/python2.5/site-packages/
> matplotlib/artist.py", line 3, in <module>
>   File "/Users/was/build/sage-2.10/local/lib/python2.5/site-packages/
> matplotlib/cbook.py", line 18, in <module>
>   File "/Applications/sage/local/lib/python/locale.py", line 507, in
> getpreferredencoding
>     return getdefaultlocale()[1]
>   File "/Applications/sage/local/lib/python/locale.py", line 443, in
> getdefaultlocale
>     return _parse_localename(localename)
>   File "/Applications/sage/local/lib/python/locale.py", line 375, in
> _parse_localename
>     raise ValueError, 'unknown locale: %s' % localename
> ValueError: unknown locale: UTF-8
> ----
>
> I'm a total newbie and installed sage 2.10 from a .dmg on Mac Os 10.5.
> It seems to be a python error, but I have no idea about python as
> well.
>

Could you try carefully replacing  the file

   /Applications/sage/local/lib/python2.5/site-packages/matplotlib/cbook.py

on your computer by the attached file, then report back to us whether this
fixes the problem or not?  Thanks!  If so, we'll be able to easily patch Sage
so that this problem doesn't happen for you in the future (when you upgrade).

Thanks for reporting this issue with running Sage!

 - William

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"""
A collection of utility functions and classes.  Many (but not all)
from the Python Cookbook -- hence the name cbook
"""
from __future__ import generators
import re, os, errno, sys, StringIO, traceback, locale
import time, datetime
import numpy as npy

try: set
except NameError:
    from sets import Set as set

major, minor1, minor2, s, tmp = sys.version_info


# on some systems, locale.getpreferredencoding returns None, which can break unicode
try:
    preferredencoding = locale.getpreferredencoding()
except:
    preferredencoding = None

def unicode_safe(s):
    if preferredencoding is None: return unicode(s)
    else: return unicode(s, preferredencoding)

class converter:
    """
    Base class for handling string -> python type with support for
    missing values
    """
    def __init__(self, missing='Null', missingval=None):
        self.missing = missing
        self.missingval = missingval
    def __call__(self, s):
        if s==self.missing: return self.missingval
        return s

    def is_missing(self, s):
        return not s.strip() or s==self.missing

class tostr(converter):
    'convert to string or None'
    def __init__(self, missing='Null', missingval=''):
        converter.__init__(self, missing=missing, missingval=missingval)

class todatetime(converter):
    'convert to a datetime or None'
    def __init__(self, fmt='%Y-%m-%d', missing='Null', missingval=None):
        'use a time.strptime format string for conversion'
        converter.__init__(self, missing, missingval)
        self.fmt = fmt

    def __call__(self, s):
        if self.is_missing(s): return self.missingval
        tup = time.strptime(s, self.fmt)
        return datetime.datetime(*tup[:6])



class todate(converter):
    'convert to a date or None'
    def __init__(self, fmt='%Y-%m-%d', missing='Null', missingval=None):
        'use a time.strptime format string for conversion'
        converter.__init__(self, missing, missingval)
        self.fmt = fmt
    def __call__(self, s):
        if self.is_missing(s): return self.missingval
        tup = time.strptime(s, self.fmt)
        return datetime.date(*tup[:3])

class tofloat(converter):
    'convert to a float or None'
    def __init__(self, missing='Null', missingval=None):
        converter.__init__(self, missing)
        self.missingval = missingval
    def __call__(self, s):
        if self.is_missing(s): return self.missingval
        return float(s)


class toint(converter):
    'convert to an int or None'
    def __init__(self, missing='Null', missingval=None):
        converter.__init__(self, missing)

    def __call__(self, s):
        if self.is_missing(s): return self.missingval
        return int(s)

class CallbackRegistry:
    """
    Handle registering and disconnecting for a set of signals and
    callbacks

       signals = 'eat', 'drink', 'be merry'

       def oneat(x):
           print 'eat', x

       def ondrink(x):
           print 'drink', x

       callbacks = CallbackRegistry(signals)

       ideat = callbacks.connect('eat', oneat)
       iddrink = callbacks.connect('drink', ondrink)

       #tmp = callbacks.connect('drunk', ondrink) # this will raise a ValueError

       callbacks.process('drink', 123)    # will call oneat
       callbacks.process('eat', 456)      # will call ondrink
       callbacks.process('be merry', 456) # nothing will be called
       callbacks.disconnect(ideat)        # disconnect oneat
       callbacks.process('eat', 456)      # nothing will be called

    """
    def __init__(self, signals):
        'signals is a sequence of valid signals'
        self.signals = set(signals)
        # callbacks is a dict mapping the signal to a dictionary
        # mapping callback id to the callback function
        self.callbacks = dict([(s, dict()) for s in signals])
        self._cid = 0

    def _check_signal(self, s):
        'make sure s is a valid signal or raise a ValueError'
        if s not in self.signals:
            signals = list(self.signals)
            signals.sort()
            raise ValueError('Unknown signal "%s"; valid signals are %s'%(s, signals))

    def connect(self, s, func):
        """
        register func to be called when a signal s is generated
        func will be called
        """
        self._check_signal(s)
        self._cid +=1
        self.callbacks[s][self._cid] = func
        return self._cid

    def disconnect(self, cid):
        """
        disconnect the callback registered with callback id cid
        """
        for eventname, callbackd in self.callbacks.items():
            try: del callbackd[cid]
            except KeyError: continue
            else: return

    def process(self, s, *args, **kwargs):
        """
        process signal s.  All of the functions registered to receive
        callbacks on s will be called with *args and **kwargs
        """
        self._check_signal(s)
        for func in self.callbacks[s].values():
            func(*args, **kwargs)



class silent_list(list):
    """
    override repr when returning a list of matplotlib artists to
    prevent long, meaningless output.  This is meant to be used for a
    homogeneous list of a give type
    """
    def __init__(self, type, seq=None):
        self.type = type
        if seq is not None: self.extend(seq)

    def __repr__(self):
        return '<a list of %d %s objects>' % (len(self), self.type)

    def __str__(self):
        return '<a list of %d %s objects>' % (len(self), self.type)

def strip_math(s):
    'remove latex formatting from mathtext'
    remove = (r'\rm', '\cal', '\tt', '\it', '\\', '{', '}')
    s = s[1:-1]
    for r in remove:  s = s.replace(r,'')
    return s

class Bunch:
   """
   Often we want to just collect a bunch of stuff together, naming each
   item of the bunch; a dictionary's OK for that, but a small do- nothing
   class is even handier, and prettier to use.  Whenever you want to
   group a few variables:

     >>> point = Bunch(datum=2, squared=4, coord=12)
     >>> point.datum

     By: Alex Martelli
     From: http://aspn.activestate.com/ASPN/Cookbook/Python/Recipe/52308
   """
   def __init__(self, **kwds):
      self.__dict__.update(kwds)


def unique(x):
   'Return a list of unique elements of x'
   return dict([ (val, 1) for val in x]).keys()

def iterable(obj):
    try: len(obj)
    except: return 0
    return 1


def is_string_like(obj):
    if hasattr(obj, 'shape'): return 0
    try: obj + ''
    except (TypeError, ValueError): return 0
    return 1

def is_writable_file_like(obj):
    return hasattr(filename, 'write') and callable(filename.write)

def is_scalar(obj):
    return is_string_like(obj) or not iterable(obj)

def is_numlike(obj):
    try: obj+1
    except TypeError: return False
    else: return True

def to_filehandle(fname, flag='r'):
    """
    fname can be a filename or a file handle.  Support for gzipped
    files is automatic, if the filename ends in .gz.  flag is a
    read/write flag for file
    """
    if is_string_like(fname):
        if fname.endswith('.gz'):
            import gzip
            fh = gzip.open(fname, flag)
        else:
            fh = file(fname, flag)
    elif hasattr(fname, 'seek'):
        fh = fname
    else:
        raise ValueError('fname must be a string or file handle')
    return fh

def flatten(seq, scalarp=is_scalar):
    """
    this generator flattens nested containers such as

    >>> l=( ('John', 'Hunter'), (1,23), [[[[42,(5,23)]]]])

    so that

    >>> for i in flatten(l): print i,
    John Hunter 1 23 42 5 23

    By: Composite of Holger Krekel and Luther Blissett
    From: http://aspn.activestate.com/ASPN/Cookbook/Python/Recipe/121294
    and Recipe 1.12 in cookbook
    """
    for item in seq:
        if scalarp(item): yield item
        else:
            for subitem in flatten(item, scalarp):
               yield subitem



class Sorter:
   """

   Sort by attribute or item

   Example usage:
   sort = Sorter()

   list = [(1, 2), (4, 8), (0, 3)]
   dict = [{'a': 3, 'b': 4}, {'a': 5, 'b': 2}, {'a': 0, 'b': 0},
   {'a': 9, 'b': 9}]


   sort(list)       # default sort
   sort(list, 1)    # sort by index 1
   sort(dict, 'a')  # sort a list of dicts by key 'a'

   """

   def _helper(self, data, aux, inplace):
      aux.sort()
      result = [data[i] for junk, i in aux]
      if inplace: data[:] = result
      return result

   def byItem(self, data, itemindex=None, inplace=1):
      if itemindex is None:
         if inplace:
            data.sort()
            result = data
         else:
            result = data[:]
            result.sort()
         return result
      else:
         aux = [(data[i][itemindex], i) for i in range(len(data))]
         return self._helper(data, aux, inplace)

   def byAttribute(self, data, attributename, inplace=1):
      aux = [(getattr(data[i],attributename),i) for i in range(len(data))]
      return self._helper(data, aux, inplace)

   # a couple of handy synonyms
   sort = byItem
   __call__ = byItem





class Xlator(dict):
    """
    All-in-one multiple-string-substitution class

    Example usage:

    text = "Larry Wall is the creator of Perl"
    adict = {
    "Larry Wall" : "Guido van Rossum",
    "creator" : "Benevolent Dictator for Life",
    "Perl" : "Python",
    }

    print multiple_replace(adict, text)

    xlat = Xlator(adict)
    print xlat.xlat(text)
    """

    def _make_regex(self):
        """ Build re object based on the keys of the current dictionary """
        return re.compile("|".join(map(re.escape, self.keys())))

    def __call__(self, match):
        """ Handler invoked for each regex match """
        return self[match.group(0)]

    def xlat(self, text):
        """ Translate text, returns the modified text. """
        return self._make_regex().sub(self, text)



def soundex(name, len=4):
    """ soundex module conforming to Odell-Russell algorithm """

    # digits holds the soundex values for the alphabet
    soundex_digits = '01230120022455012623010202'
    sndx = ''
    fc = ''

    # Translate letters in name to soundex digits
    for c in name.upper():
        if c.isalpha():
            if not fc: fc = c   # Remember first letter
            d = soundex_digits[ord(c)-ord('A')]
            # Duplicate consecutive soundex digits are skipped
            if not sndx or (d != sndx[-1]):
                sndx += d

    # Replace first digit with first letter
    sndx = fc + sndx[1:]

    # Remove all 0s from the soundex code
    sndx = sndx.replace('0', '')

    # Return soundex code truncated or 0-padded to len characters
    return (sndx + (len * '0'))[:len]



class Null:
    """ Null objects always and reliably "do nothing." """

    def __init__(self, *args, **kwargs): pass
    def __call__(self, *args, **kwargs): return self
    def __str__(self): return "Null()"
    def __repr__(self): return "Null()"
    def __nonzero__(self): return 0

    def __getattr__(self, name): return self
    def __setattr__(self, name, value): return self
    def __delattr__(self, name): return self




def mkdirs(newdir, mode=0777):
   try: os.makedirs(newdir, mode)
   except OSError, err:
      # Reraise the error unless it's about an already existing directory
      if err.errno != errno.EEXIST or not os.path.isdir(newdir):
         raise


class GetRealpathAndStat:
    def __init__(self):
        self._cache = {}

    def __call__(self, path):
        result = self._cache.get(path)
        if result is None:
            realpath = os.path.realpath(path)
            stat = os.stat(realpath)
            stat_key = (stat.st_ino, stat.st_dev)
            result = realpath, stat_key
            self._cache[path] = result
        return result
get_realpath_and_stat = GetRealpathAndStat()

def dict_delall(d, keys):
    'delete all of the keys from the dict d'
    for key in keys:
        try: del d[key]
        except KeyError: pass


class RingBuffer:
    """ class that implements a not-yet-full buffer """
    def __init__(self,size_max):
        self.max = size_max
        self.data = []

    class __Full:
        """ class that implements a full buffer """
        def append(self, x):
            """ Append an element overwriting the oldest one. """
            self.data[self.cur] = x
            self.cur = (self.cur+1) % self.max
        def get(self):
            """ return list of elements in correct order """
            return self.data[self.cur:]+self.data[:self.cur]

    def append(self,x):
        """append an element at the end of the buffer"""
        self.data.append(x)
        if len(self.data) == self.max:
            self.cur = 0
            # Permanently change self's class from non-full to full
            self.__class__ = __Full

    def get(self):
        """ Return a list of elements from the oldest to the newest. """
        return self.data

    def __get_item__(self, i):
       return self.data[i % len(self.data)]


# use enumerate builtin if available, else use python version
try:
    import __builtin__
    enumerate = __builtin__.enumerate
except:
    def enumerate(seq):
        """Python equivalent to the enumerate builtin function
        enumerate() is new in Python 2.3
        """
        for i in range(len(seq)):
            yield i, seq[i]


# use reversed builtin if available, else use python version
try:
    import __builtin__
    reversed = __builtin__.reversed
except:
    def reversed(seq):
        """Python equivalent to the enumerate builtin function
        enumerate() is new in Python 2.3
        """
        for i in range(len(seq)-1,-1,-1):
            yield seq[i]


# use itertools.izip if available, else use python version
try:
    import itertools
    izip = itertools.izip
except:
    def izip(*iterables):
        """Python equivalent to itertools.izip
        itertools module - new in Python 2.3
        """
        iterables = map(iter, iterables)
        while iterables:
            result = [i.next() for i in iterables]
            yield tuple(result)


def get_split_ind(seq, N):
   """seq is a list of words.  Return the index into seq such that
   len(' '.join(seq[:ind])<=N
   """

   sLen = 0
   # todo: use Alex's xrange pattern from the cbook for efficiency
   for (word, ind) in zip(seq, range(len(seq))):
      sLen += len(word) + 1  # +1 to account for the len(' ')
      if sLen>=N: return ind
   return len(seq)


def wrap(prefix, text, cols):
    'wrap text with prefix at length cols'
    pad = ' '*len(prefix.expandtabs())
    available = cols - len(pad)

    seq = text.split(' ')
    Nseq = len(seq)
    ind = 0
    lines = []
    while ind<Nseq:
        lastInd = ind
        ind += get_split_ind(seq[ind:], available)
        lines.append(seq[lastInd:ind])

    # add the prefix to the first line, pad with spaces otherwise
    ret = prefix + ' '.join(lines[0]) + '\n'
    for line in lines[1:]:
        ret += pad + ' '.join(line) + '\n'
    return ret

# A regular expression used to determine the amount of space to
# remove.  It looks for the first sequence of spaces immediately
# following the first newline, or at the beginning of the string.
_find_dedent_regex = re.compile("(?:(?:\n\r?)|^)( *)\S")
# A cache to hold the regexs that actually remove the indent.
_dedent_regex = {}
def dedent(s):
    """
    Remove excess indentation from docstrings.

    Discards any leading blank lines, then removes up to
    n whitespace characters from each line, where n is
    the number of leading whitespace characters in the
    first line. It differs from textwrap.dedent in its
    deletion of leading blank lines and its use of the
    first non-blank line to determine the indentation.

    It is also faster in most cases.
    """
    # This implementation has a somewhat obtuse use of regular
    # expressions.  However, this function accounted for almost 30% of
    # matplotlib startup time, so it is worthy of optimization at all
    # costs.

    if not s:      # includes case of s is None
        return ''

    match = _find_dedent_regex.match(s)
    if match is None:
        return s

    # This is the number of spaces to remove from the left-hand side.
    nshift = match.end(1) - match.start(1)
    if nshift == 0:
        return s

    # Get a regex that will remove *up to* nshift spaces from the
    # beginning of each line.  If it isn't in the cache, generate it.
    unindent = _dedent_regex.get(nshift, None)
    if unindent is None:
        unindent = re.compile("\n\r? {0,%d}" % nshift)
        _dedent_regex[nshift] = unindent

    result = unindent.sub("\n", s).strip()
    return result


def listFiles(root, patterns='*', recurse=1, return_folders=0):
    """
    Recursively list files
    from Parmar and Martelli in the Python Cookbook
    """
    import os.path, fnmatch
    # Expand patterns from semicolon-separated string to list
    pattern_list = patterns.split(';')
    # Collect input and output arguments into one bunch
    class Bunch:
        def __init__(self, **kwds): self.__dict__.update(kwds)
    arg = Bunch(recurse=recurse, pattern_list=pattern_list,
        return_folders=return_folders, results=[])

    def visit(arg, dirname, files):
        # Append to arg.results all relevant files (and perhaps folders)
        for name in files:
            fullname = os.path.normpath(os.path.join(dirname, name))
            if arg.return_folders or os.path.isfile(fullname):
                for pattern in arg.pattern_list:
                    if fnmatch.fnmatch(name, pattern):
                        arg.results.append(fullname)
                        break
        # Block recursion if recursion was disallowed
        if not arg.recurse: files[:]=[]

    os.path.walk(root, visit, arg)

    return arg.results

def get_recursive_filelist(args):
    """
    Recurs all the files and dirs in args ignoring symbolic links and
    return the files as a list of strings
    """
    files = []

    for arg in args:
        if os.path.isfile(arg):
            files.append(arg)
            continue
        if os.path.isdir(arg):
            newfiles = listFiles(arg, recurse=1, return_folders=1)
            files.extend(newfiles)

    return [f for f in files if not os.path.islink(f)]



def pieces(seq, num=2):
   "Break up the seq into num tuples"
   start = 0
   while 1:
      item = seq[start:start+num]
      if not len(item): break
      yield item
      start += num

def exception_to_str(s = None):

   sh = StringIO.StringIO()
   if s is not None: print >>sh, s
   traceback.print_exc(file=sh)
   return sh.getvalue()


def allequal(seq):
    """
    return true if all elements of seq compare equal.  If seq is 0 or
    1 length, return True
    """
    if len(seq)<2: return True
    val = seq[0]
    for i in xrange(1, len(seq)):
        thisval = seq[i]
        if thisval != val: return False
    return True

def alltrue(seq):
    #return true if all elements of seq are true.  If seq is empty return false
    if not len(seq): return False
    for val in seq:
        if not val: return False
    return True

def onetrue(seq):
    #return true if one element of seq is true.  If seq is empty return false
    if not len(seq): return False
    for val in seq:
        if val: return True
    return False

def allpairs(x):
    """
    return all possible pairs in sequence x

    Condensed by Alex Martelli from this thread on c.l.python
    http://groups.google.com/groups?q=all+pairs+group:*python*&hl=en&lr=&ie=UTF-8&selm=mailman.4028.1096403649.5135.python-list%40python.org&rnum=1
    """
    return [ (s, f) for i, f in enumerate(x) for s in x[i+1:] ]




# python 2.2 dicts don't have pop--but we don't support 2.2 any more
def popd(d, *args):
    """
    Should behave like python2.3 pop method; d is a dict

    # returns value for key and deletes item; raises a KeyError if key
    # is not in dict
    val = popd(d, key)

    # returns value for key if key exists, else default.  Delete key,
    # val item if it exists.  Will not raise a KeyError
    val = popd(d, key, default)
    """
    if len(args)==1:
        key = args[0]
        val = d[key]
        del d[key]
    elif len(args)==2:
        key, default = args
        val = d.get(key, default)
        try: del d[key]
        except KeyError: pass
    return val


class maxdict(dict):
    """
    A dictionary with a maximum size; this doesn't override all the
    relevant methods to contrain size, just setitem, so use with
    caution
    """
    def __init__(self, maxsize):
        dict.__init__(self)
        self.maxsize = maxsize
        self._killkeys = []
    def __setitem__(self, k, v):
        if len(self)>=self.maxsize:
            del self[self._killkeys[0]]
            del self._killkeys[0]
        dict.__setitem__(self, k, v)
        self._killkeys.append(k)



class Stack:
    """
    Implement a stack where elements can be pushed on and you can move
    back and forth.  But no pop.  Should mimic home / back / forward
    in a browser
    """

    def __init__(self, default=None):
        self.clear()
        self._default = default

    def __call__(self):
        'return the current element, or None'
        if not len(self._elements): return self._default
        else: return self._elements[self._pos]

    def forward(self):
        'move the position forward and return the current element'
        N = len(self._elements)
        if self._pos<N-1: self._pos += 1
        return self()

    def back(self):
        'move the position back and return the current element'
        if self._pos>0: self._pos -= 1
        return self()

    def push(self, o):
        """
        push object onto stack at current position - all elements
        occurring later than the current position are discarded
        """
        self._elements = self._elements[:self._pos+1]
        self._elements.append(o)
        self._pos = len(self._elements)-1
        return self()

    def home(self):
        'push the first element onto the top of the stack'
        if not len(self._elements): return
        self.push(self._elements[0])
        return self()

    def empty(self):
        return len(self._elements)==0

    def clear(self):
        'empty the stack'
        self._pos = -1
        self._elements = []

    def bubble(self, o):
        """
        raise o to the top of the stack and return o.  o must be in
        the stack
        """

        if o not in self._elements:
            raise ValueError('Unknown element o')
        old = self._elements[:]
        self.clear()
        bubbles = []
        for thiso in old:
            if thiso==o: bubbles.append(thiso)
            else: self.push(thiso)
        for thiso in bubbles:
            self.push(o)
        return o

    def remove(self, o):
        'remove element o from the stack'
        if o not in self._elements:
            raise ValueError('Unknown element o')
        old = self._elements[:]
        self.clear()
        for thiso in old:
            if thiso==o: continue
            else: self.push(thiso)

def popall(seq):
    'empty a list'
    for i in xrange(len(seq)): seq.pop()

def finddir(o, match, case=False):
    """
    return all attributes of o which match string in match.  if case
    is True require an exact case match.
    """
    if case:
        names = [(name,name) for name in dir(o) if is_string_like(name)]
    else:
        names = [(name.lower(), name) for name in dir(o) if is_string_like(name)]
        match = match.lower()
    return [orig for name, orig in names if name.find(match)>=0]

def reverse_dict(d):
    'reverse the dictionary -- may lose data if values are not uniq!'
    return dict([(v,k) for k,v in d.items()])


def report_memory(i=0):  # argument may go away
    'return the memory consumed by process'
    pid = os.getpid()
    if sys.platform=='sunos5':
        a2 = os.popen('ps -p %d -o osz' % pid).readlines()
        mem = int(a2[-1].strip())
    elif sys.platform.startswith('linux'):
        a2 = os.popen('ps -p %d -o rss,sz' % pid).readlines()
        mem = int(a2[1].split()[1])
    elif sys.platform.startswith('darwin'):
        a2 = os.popen('ps -p %d -o rss,vsz' % pid).readlines()
        mem = int(a2[1].split()[0])

    return mem

_safezip_msg = 'In safezip, len(args[0])=%d but len(args[%d])=%d'
def safezip(*args):
    'make sure args are equal len before zipping'
    Nx = len(args[0])
    for i, arg in enumerate(args[1:]):
        if len(arg) != Nx:
            raise ValueError(_safezip_msg % (Nx, i+1, len(arg)))
    return zip(*args)


class MemoryMonitor:
    def __init__(self, nmax=20000):
        self._nmax = nmax
        self._mem = npy.zeros((self._nmax,), npy.int32)
        self.clear()

    def clear(self):
        self._n = 0
        self._overflow = False

    def __call__(self):
        mem = report_memory()
        if self._n < self._nmax:
            self._mem[self._n] = mem
            self._n += 1
        else:
            self._overflow = True
        return mem

    def report(self, segments=4):
        n = self._n
        segments = min(n, segments)
        dn = int(n/segments)
        ii = range(0, n, dn)
        ii[-1] = n-1
        print
        print 'memory report: i, mem, dmem, dmem/nloops'
        print 0, self._mem[0]
        for i in range(1, len(ii)):
            di = ii[i] - ii[i-1]
            if di == 0:
                continue
            dm = self._mem[ii[i]] - self._mem[ii[i-1]]
            print '%5d %5d %3d %8.3f' % (ii[i], self._mem[ii[i]],
                                            dm, dm / float(di))
        if self._overflow:
            print "Warning: array size was too small for the number of calls."

    def xy(self, i0=0, isub=1):
        x = npy.arange(i0, self._n, isub)
        return x, self._mem[i0:self._n:isub]

    def plot(self, i0=0, isub=1, fig=None):
        if fig is None:            
            from pylab import figure, show
            fig = figure()

        ax = fig.add_subplot(111)
        ax.plot(*self.xy(i0, isub))
        fig.canvas.draw()


def print_cycles(objects, outstream=sys.stdout, show_progress=False):
    """
    objects:       A list of objects to find cycles in.  It is often useful
                   to pass in gc.garbage to find the cycles that are
                   preventing some objects from being garbage collected.
    outstream:     The stream for output.
    show_progress: If True, print the number of objects reached as they are
                   found.
    """
    import gc
    from types import FrameType

    def print_path(path):
        for i, step in enumerate(path):
            # next "wraps around"
            next = path[(i + 1) % len(path)]

            outstream.write("   %s -- " % str(type(step)))
            if isinstance(step, dict):
                for key, val in step.items():
                    if val is next:
                        outstream.write("[%s]" % repr(key))
                        break
                    if key is next:
                        outstream.write("[key] = %s" % repr(val))
                        break
            elif isinstance(step, list):
                outstream.write("[%d]" % step.index(next))
            elif isinstance(step, tuple):
                outstream.write("( tuple )")
            else:
                outstream.write(repr(step))
            outstream.write(" ->\n")
        outstream.write("\n")

    def recurse(obj, start, all, current_path):
        if show_progress:
            outstream.write("%d\r" % len(all))

        all[id(obj)] = None

        referents = gc.get_referents(obj)
        for referent in referents:
            # If we've found our way back to the start, this is
            # a cycle, so print it out
            if referent is start:
                print_path(current_path)

            # Don't go back through the original list of objects, or
            # through temporary references to the object, since those
            # are just an artifact of the cycle detector itself.
            elif referent is objects or isinstance(referent, FrameType):
                continue

            # We haven't seen this object before, so recurse
            elif id(referent) not in all:
                recurse(referent, start, all, current_path + [obj])

    for obj in objects:
        outstream.write("Examining: %r\n" % (obj,))
        recurse(obj, obj, { }, [])

if __name__=='__main__':
    assert( allequal([1,1,1]) )
    assert(not  allequal([1,1,0]) )
    assert( allequal([]) )
    assert( allequal(('a', 'a')))
    assert( not allequal(('a', 'b')))

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